NUMBER SYSTEM and the third number is 77. The sum of the third and thrice the first number is 104. What is the third number? (1) 25 (2) 39 (3) 48 (4) 54 (5) None of these 24.The difference

NUMBER SYSTEM

1. What will be at the unit place of:-

(2467)153 × (34)72?

(1) 7 (2) 1

(3) 9 (4) 3

(5) None of these

2. What will be the total number of price factors

in 411 × 75 × 113?

(1) 25 (2) 19

(3) 20 (4) 30

(5) None of these

3. What is the total number of three digitnumbers divisible by 7?

(1) 142 (2) 145

(3) 147 (4) 151

(5) None of these

4. If 7765 is divided by a number, it given 45 asquotient and 25 as remainder. What is thenumber?

(1) 172 (2) 175

(3) 180 (4) 195

(5) None of these

5. If a number is divided by 119, it givesremainder 19. If the same number is dividedby 17, what will be the remainder?

(1) 2 (2) 1

(3) 0 (4) 3

(5) None of these

6. What will be the remainder if 1935 is dividedby 18?

(1) 0 (2) 1

(3) 2 (4) 3

(5) None of these

7. Which number will come at the unit place of

735 × 371 × 1155

(1) 1 (2) 2

(3) 3 (4) 4

(5) None of these

8. If 5432 * 7, is absolutely divisible by 9, thenwhich among the which among the followednumber is the *?

(1) 6 (2) 5

(3) 4 (4) 3

(5) None of these

9. Which among the following number can divide

461 + 462 + 463 + 464?

(1) 3 (2) 10

(3) 17 (4) 13

(5) None of these

10. If 50% of any number is 8 more than one thirdof the number, then the number is

(1) 48 (2) 50

(3) 94 (4) 42

(5) None of these

11. Two-thirds of three-fourth of one fifth of anumber is 15. What is 30% of that number?

(1) 45 (2) 60

(3) 75 (4) 30

(5) None of these

12. When 30% of one number is subtracted fromanother number, the second number reducesto its fourth-fifth. What is the ratio of the firstto the second number?

(1) 4 : 7

(2) 3 : 2

(3) 2 : 5

(4) Cannot be determined

(5) None of these

13. If the digits of a two-digit number areinterchanged, the number formed is greaterthan original number by 45. If the different

between the digits is 5, what is the originalnumber?

(1) 16

(2) 27

(3) 38


(5) None of these

14. If the numerator of a fraction is increased by240% and the denominator of the fraction isdecreased by 50%, the resultant fraction is2. What is the original fraction?

(1)1

4(2)

2

3

(3)5

12(4)

4

11

(5) None of these

15. The difference between a two-digit numberand the number obtained by interchanging thetwo digit of two number is 9. What is differencebetween the two digits of the number?

(1) 3

(2) 2

(3) 1


(5) None of these

16. The product of two consecutive even numbersis 3248. What is the larger number?

(1) 58 (2) 62

(3) 56 (4) 60

(5) None of these

17. The sum of five consecutive odd number is575. What is the sum of the next set of theconsecutive odd number?

(1) 615

(2) 635

(3) 595


(5) None of these

18. 75% a number is equal to four fifths of anothernumber. What is the ratio between the firstand the second number?

(1) 5 : 3 (2) 15 : 16

(3) 3 : 5 (4) 16 : 15

(5) None of these

19. If the numerator of a fraction is increased by25% and the denominator is doubled, the

fraction thus obtained is5

9. What is the original

fraction?

(1)2

3

(2)4

9

(3)8

9


(5) None of these

20. If the position of the digits of a two-digitnumbers are interchanged, the numberobtained is smaller than the original numberby 27. If the digits of the number are in theratio of 1 : 2, what is the original number?

(1) 36 (2) 63

(3) 48 (4) 54

(5) None of these

21. Twice the square of a number is six timesthe other number what is the ratio of the firstnumber to the second?

(1) 1 : 4

(2) 2 : 5

(3) 1 : 3


(5) None of these

22. Three numbers are in the ratio 2 : 3 : 4. Thesum of the largest and the smallest equalsthe sum of the third and 54. What is the largestnumber?

(1) 54 (2) 74

(3) 82 (4) 70

(5) None of these

23. Out of three numbers the sum of the first andthe second numbers is 73 and the sum of

second and the third number is 77. The sumof the third and thrice the first number is 104.What is the third number?

(1) 25 (2) 39

(3) 48 (4) 54

(5) None of these

24. The difference between a two-digit numberand the number obtained by interchanging thetwo digits of the numbers is 36. What is thedifference between the two digit of thenumber?

(1) 6

(2) 4

(3) 3

(4) cannot be determined

(5) None of these

25. Two numbers are less than the third numberby 50% and 54% respectively. By how muchpercent is the second number less than thefirst number?

(1) 13 (2) 10

(3) 12 (4) 11

(5) None of these

26. One-fourth of sixty percent of a number isequal to two-fifths of twenty percent of anothernumber. What is the ratio of the first numberto the second?

(1) 4 : 7

(2) 8 : 13

(3) 5 : 9


(5) None of these

27. The product of two consecutive odd numbersin 4623. Which is the greater of the twonumber?

(1) 66 (2) 69

(3) 68 (4) 67

(5) None of these

28. The number obtained by interchanging thedigits of a two-digit number is less than theoriginal number by 63. If the sum of the digitsof the number is 11, what is the originalnumber?

(1) 29

(2) 92

(3) 74


(5) None of these

29. What is the greater of the two numbers whoseproduct is 640, if the sum of the two numbersexceeds their difference by 32?

(1) 45 (2) 50

(3) 55 (4) 40

(5) None of these

30. The product of two successive numbers is4032. Which is the greater of the twonumbers?

(1) 63 (2) 64

(3) 65 (4) 66

(5) None of these

31. The number obtained by interchanging the twodigits of a two-digit number is less than theoriginal number by 18. The sum of the twodigits of the number is 16. What is the originalnumber?

(1) 97 (2) 87

(3) 79 (4) 78

(5) None of these

32. A number consists of four digits having 8 inthe unit’s place. If the digit in the extreme leftis shifted to the immediate right to the unitplace, keeping all other number as they are,the new number formed exceeds the originalnumber by 1305. The original number is.

(1) 2671 (2) 3478

(3) 4651 (4) 3455

(5) None of these

33. The number of times 99 is subtracted from1111 so that the remainder is less than 99 is

(1) 98 (2) 59

(3) 60 (4) 101

(5) None of these

34. When a number is divided by 13, theremainder is 11. When the same number isdivided by 17, the remainder is 9, what is thenumber?

(1) 143 (2) 245

(3) 128 (4) 113

(5) None of these

35. If the number 354A25B is divisible by 3 and 5,then the alphabets in the unit place and thethousandth place respectively are.

(1) 3, 7 (2) 9, 8

(3) 1, 3 (4) 5, 0

(5) None of these

36. A number was divided successively in orderby 4, 5 and 6. The remainders were 2, 3, and4 respectively. The smallest such number is

(1) 133 (2) 175

(3) 302 (4) 214

(5) None of these

37. The least number which must be subtractedfrom 6709 to make it exactly divisible by 9 is

(1) 1 (2) 2

(3) 3 (4) 5

(5) None of these

38. The least number which must be added to43557 to make it exactly divisible by 4 is

(1) 3 (2) 4

(3) 1 (4) 2

(5) None of these

39. How many of the following numbers aredivisibly by 37?

4611, 1111, 1010, 2133, 968, 111, 2222

(1) 2133 (2) 111

(3) 1111 (4) 2222

(5) None of these

40. What is the maximum value of A + B if A is thesmallest price number and B is the largestprice number less than 100?

(1) 109 (2) 78

(3) 99 (4) 81

(5) None of these

41. The sum of the digits of a two-digit number is

1

11 of the sum of the number and the number

obtained by interchanging the position of thedigits. What is the difference between the

digits of that number?

(1) 111 (2) 11

(3) 33 (4) 1


42. What is the H. C. F. of the numbers 1331,1111, 121, 550?

(1) 111 (2) 11

(3) 33 (4) 1

(5) None of these

43. A 4-digit number is formed by repeating a 2-digit like 3737, 2121 ect. Any number of thisform is exactly divisible by

(1) 101 (2) 124

(3) 16 (4) 8

(5) None of these

44. The greater number by which the product ofthree consecutive multiple of 3 is alwaysdivisible is?

(1) 151 (2) 146

(3) 162 (4) 128

(5) None of these

45. What least number must be subtracted from427398 so that the remaining number isdivisible by 15?

(1) 2 (2) 3

(3) 1 (4) 4

(5) None of these

46. Find the sum of prime numbers lying between60 and 75?

(1) 250 (2) 142

(3) 110 (4) 180

(5) None of these

47. A number when divided by the sum of 555and 445 given two times their difference asquotient and 30 as the remainder. The numberis

(1) 183000 (2) 234200

(3) 11000 (4) 2110030

(5) None of these

48. What is the HCF of 1.08, 0.36 and 0.9?

(1) 0.18 (2) 2

(3) 1.5 (4) 0.3

(5) None of these

49. Two numbers, both greater than 29, haveHCF 29 and LCM 4147. The sum of thenumber is?

(1) 212 (2) 696

(3) 524 (4) 580

(5) None of these

50. The HCF and LCM of two numbers are 11and 385 respectively. If one number liesbetween 75 and 125, then that number is?

(1) 56 (2) 24

(3) 44 (4) 77

(5) None of these

51. The difference between the place value of 7and 3 in the number 527435 is

(1) 5560 (2) 5562

(3) 1134 (4) 3768

(5) None of these

52. The least number which when divided by 5,6, 7 and 8 leaves remainder 3, but whendivided by 9 leaves no remainder is

(1) 1921 (2) 1700

(3) 1683 (4) 1600

(5) None of these

53. A, B and C start at the same time in the samedirection to run around a circular stadium. Acomplete a round in 252 second, B in 308seconds and C in 198 seconds, all starting atthe same point. After what time will they meetagain at the starting point?

(1) 35 min 10 sec

(2) 46 min 12 sec

(3) 40 min 11 sec

(4) 30 min 10 sec

(5) None of these

54. If the digit of a two-digit number isinterchanged the newly formed number ismore than the original number by 18 and sumof the digit is 8, than the original number is

(1) 35 (2) 24

(3) 27 (4) 30

(5) None of these

55. How many of the following numbers aredivisible by 132?

264, 396, 462, 792, 968, 2178, 5184, 6336

(1) 3 (2) 5

(3) 6 (4) 4

(5) None of these

56. The sum of three consecutive numbers isgiven. What is the different between first andthird number?

(1) 4 (2) 2

(3) 5 (4) 7

(5) None of these

57. A number gets reduced to its one third when48 is subtracted from it. What is the two thirdof that number?

(1) 12 (2) 24

(3) 36 (4) 48

(5) None of these

58. The sum of three consecutive odd numbersis always divisible by

(1) 2 (2) 3

(3) 9 (4) 5

(5) None of these

59. A positive integer, which when added to 1000,gives a sum which is greater than when it ismultiplied by 1000, the positive integer is

(1) 3 (2) 2

(3) 4 (4) 1

(5) None of these

60. The difference between two numbers is 1365.When the larger number is divided by thesmaller one, the quotient is 6 and theremainder is 15. The smaller number is

(1) 156 (2) 204

(3) 112 (4) 120

(5) None of these

61. There are four prime number written inascending order. The product of the first threeis 385 and that of the last three is 1001. Thelast number is

(1) 21 (2) 13

(3) 11 (4) 12

(5) None of these

62. By how much is three-fifth of 350 greater thanfour-seventh of 210?

(1) 90 (2) 20

(3) 25 (4) 36

(5) None of these

63. The lowest of four consecutive even numberis 7 less than the lowest of the fourconsecutive odd numbers. What is thedifference between the highest even and oddnumbers?

(1) 5 (2) 8

(3) 7 (4) 9

(5) None of these

64. If the digit in the unit’s place of a two digit ishalved and the digit in the ten’s place isdoubled, the number thus obtained is equalto the number obtained by interchanging thedigits of the original number, then the originalnumber is

(1) 21 (2) 47

(3) 56 (4) 35

(5) None of these

65. The difference between a 2-digit number andthe number after interchanging the positionof two digit is 36. What the difference betweenthe two digits of the number?

(1) 2 (2) 4

(3) 5 (4) 6

(5) None of these

66. If we write all whole numbers from 200 to 400then how may of these contain the digit 7 onceand only once?

(1) 26 (2) 38

(3) 29 (4) 30

(5) None of these

67. A number when divided successively by 4 and5 leaves remainder 1 and 4 respectively.When it is successively divided by 5 and 4,then the respective remainders will be?

(1) 2, 3 (2) 4, 3

(3) 3, 2 (4) 2, 1

(5) None of these

68. The number obtained by interchanging thedigits of a two digit number is more than theoriginal number by 45. If the digit in the unit’splace of the original number is more than thedigit in ten’s place by 5, what is the originalnumber?

(1) 61 (2) 42

(3) 37 (4) 33


69. The square of a position integer is more thanits five times by 14. What is the positiveinteger?

(1) 5 (2) 7

(3) 6 (4) 3

(5) None of these

70. What should be subtracted from the number123457 so that the new number is divisibleby 8?

(1) 4 (2) 5

(3) 3 (4) 2

(5) None of these

71. What is the LCM and HCF of the number1024, 24, 6 and 27?

(1) 210 × 33, 1 (2) 210 × 33, 3

(3) 212 × 33, 5 (4) 210 × 34, 1

(5) None of these

72. Out of the following numbers, which is divisibleby 111?

(1) 3455 (2) 1204

(3) 1245 (4) 4773

(5) None of these

73. The value of K if K35624 is divisible by 11?

(1) 8 (2) 3

(3) 4 (4) 7

(5) None of these

74. Find the least number exactly divisible by 12,30, 24 and 26?

(1) 312 (2) 240

(3) 110 (4) 213

(5) None of these

75. Find the least number which when divided by2, 3, 4 and 5, eaves the same remainder?

(1) 121 (2) 240

(3) 110 (4) 231

(5) None of these

76. The number which when divided by 33 isperfectly divisible by and closer to 1000 is

(1) 316 (2) 672

(3) 756 (4) 819

(5) None of these

77. A number when divided by 5, leaves aremainder of 4. When the double of thatnumber is divisible by 5, the remainder willbe?

(1) 1 (2) 4

(3) 3 (4) 2

(5) None of these

78. A number when divided by 6, leaves aremainder of 2. When the triple of that numberis divided by 3, the remainder will be?

(1) 2 (2) 0

(3) 1 (4) 3

(5) None of these

79. What should be subtracted from 43667788so that it becomes divisible by 4?

(1) 5 (2) 2

(3) 11 (4) 3

(5) None of these

80. What is the least number which should beadded to 3477623 so that it becomes divisibleby 3?

(1) 3 (2) 2

(3) 1 (4) 4

(5) None of these

81. Find the least number which can be dividedby 32, 36 and 40?

(1) 1232 (2) 1234

(3) 1145 (4) 1440

(5) None of these

15. 316. 117. 518. 419. 320. 221. 422. 523. 524. 225. 526. 527. 228. 2

1. 52. 43. 54. 15. 16. 27. 18. 19. 310. 111. 112. 513. 414. 3

29. 430. 231. 132. 233. 534. 335. 436. 437. 538. 339. 240. 341. 542. 2

43. 144. 345. 246. 547. 448. 149. 250. 151. 552. 353. 254. 155. 456. 2

57. 458. 259. 460. 561. 262. 163. 364. 565. 266. 267. 468. 569. 270. 5

71. 172. 473. 174. 175. 176. 577. 378. 279. 580. 381. 4

ANSWERS

H.C.F and L.C.M

1. Find the H.C.F. of 42, 63 and 140.

(a) 14 (b) 9

(c) 21 (d) 7

2. Find the H.C.F. of 483642 , acbcba and 268 cba .

(a) 444 cba (b) 222 cba

(c) 232 cba (d) 332 cba

3. Find the H.C.F. of ,63.0 1.05 and 2.1

(a) 0.21 (b) 0.021

(c) 21 (d) 2.1

4. Find the H.C.F. of 4,3,2 23 and 15.

(a) 32 (b) 23

(c) 1 (d) 360

5. Find the H.C.F. of 7532,532 223532 and

117532 244 is:

(a) 532 22 (b) 117532 22

(c) 532 44 (d) 117532 544

6. Find the H.C.F. of 81

64,

9

8,

3

2 and

27

10

(a)3

2(b)

81

2

(c)3

160(d)

81

160

7. Find the L.C.M. of 24, 36 and 40.

(a) 120 (b) 240

(c) 360 (d) 480

8. Find the L.C.M. of 3, 2.7 and 0.09

(a) 2.7 (b) 0.27

(c)0.027 (d) 27

9. Find the L.C.M. of 9

2,

6

5,

3

1 and

27

4

(a)54

1(b)

27

10

(c)3

20(d)

27

40

10. The greatest number that exactly divides

147, 168, 210 and 315 is-

(a) 7 (b) 21

(c) 441 (d) 4410

11. The maximum number of students among them

1001 pens and 910 pencils can be distributed in

such a way that each student gets the same

number of pens and same number of pens and

same number of pencils is-

(a) 91 (b) 910

(c) 1001 (d) 1911

12. Find the greatest possible length of a scale that

can be used to measure exactly the following

length of cloth 3m, 5m 10cm and 12m 90cm.

(a) 30 cm (b) 60 cm

(c) 10 cm (d) 1290 cm

13. Find the greatest possible length of a scale to

measure exactly the following lengths, 20 feet, 13

feet 9 inches, 17 feet, 6 inches and 21feet 3inches?

(a) 1 feet 6 inches (b) 1 feet 3 inches

(c) 9 inches (d) 2 feet 4 inches

14. Three containers have the mixture of milk and

water. 403 litres, 713 litres and 496 litres

respectively. Find the greatest measurement which

can measure the mixture?

(a) 1 litre (b) 7 litre

(c) 31 litre (d) 41 litre

15. Find the minimum possibel length of scale to

measure exactly the following lengths.

64 cm, 80 cm and 96 cm.

(a) 0.96 m (b) 9.60 m

(c) 19.20 m (d) 96 m

16. Traffic lights at three different points are changing

respectively at 24, 48 and 72 second. If alll the

three are changed together at 9 : 10 : 24 hours,

then when will the next changes take place

together?

(a) 25:12:9 hrs. (b) 48:10:9 hrs.

(c) 48:12:9 hrs. (d) 40:12:9 hrs

17. A, B and C start at the same time in the same

direction to run around a circular stadium. A

completes one around in 252 seconds, B in 308

seconds and C in 198 seconds, all starting at the

same point. After what time will they meet again

at the starting point?

(a) 26 minutes 18 seconds

(b) 42 minutes 36 seconds

(c) 45 minutes

(d) 46 minutes 12 seconds

18. A, B and C start at the same time in the same

direction to run around a circular stadium of length

12 km and speeds 3 km/h, 4 km/h and 6 km/h

respectively. After what time will they meet again

at the starting point?

(a) 16 h (b) 12 h

(c) 24 h (d) 28 h

19. The smallest number from which if 7 subtracted,

is exactly divisible by 2, 4, 3, 5, 6, 8 and 10 is-

(a) 113 (b) 120

(c) 127 (d) 137

20. The smallest number from which if 8 added is

exactly divisible by 10, 12, 15 and 20 is-

(a) 60 (b) 68

(c) 52 (d) 38

21. Which is the smallest number that can be

subtracted from 1936 so that on being divided by

9, 10, 15 the remainder is 7 everytime?

(a) 93 (b) 46

(c) 76 (d) 39

22. The smallest number that will divide 4, 6, 8, 12

and 16 leaving a remainder 2 in each case is-

(a) 46 (b) 50

(c) 48 (d) 56

23. Find the greatest number that will divide 187, 233

and 279 so as to leave the same remainder in each

case.

(a) 30 (b) 36

(c) 46 (d) 56

24. The numbers 2272 and 875 divided by a three digit

number N, giving the same reaminder. The sum

of the digits of N is-

(a) 13 (b) 10

(c) 14 (d) 11

25. The numbers 1305, 4665 and 6905 divided by a

four digit number N, giving the same remainder.

The sum of the digits of N is-

(a) 4 (b) 5

(c) 6 (d) 8

26. The greatest number which can divide 110 and

128 leaving the same remainder 2 in each case,

is-

(a) 8 (b) 18

(c) 28 (d) 38

27. The greatest number which can dividing 122 and

243 leaves remainders 2 and 3 respectively, is-

(a) 12 (b) 24

(c) 30 (d) 120

28. The greatest number which on dividing 989 and

1327 leaves remainders 5 and 7 respectively, is-

(a) 8 (b) 53

(c) 24 (d) 32

29. The least number, which when divided by 12, 15

and 16 leaves 7, 10 and 11 as remainders

respectively, is-

(a) 115 (b) 235

(c) 247 (d) 475

30. The least number, which when divided by 5, 6, 7

and 8 leaves a remainders 3, but divided by 9 leaves

no remainder, is-

(a) 1677 (b) 1683

(c) 2523 (d) 3363

31. The least number, which when divided by 20, 25,

35 and 40 leaves remainder 14, 19, 29 and 34

respectively, is-

(a) 1400 (b) 1394

(c) 1406 (d) 1388

32. Find the largest number of five digits exactly

divisible by 12, 16, 18, 24, 32.

(a) 99936 (b) 99963

(c) 99972 (d) 99982

33. Find the smallest number of five digits exactly

divisible by 16, 24, 36 and 54.

(a) 10432 (b) 10368

(c) 10064 (d) 10054

34. Find largest four-digit number which when divided

by 12, 18, 21 and 24 leaves a remainder of 6 in

each case, is-

(a) 9582 (b) 9423

(c) 9986 (d) 9982

35. The LCM of two numbers is 1296 and HCF is 96.

If one of the numbers is 864 then the other is-

(a) 72 (b) 64

(c) 144 (d) 36

36. The H.C.F. of two numbers is 11 and their LCM

is 7700. If one of the number is 275, then the other

is:

(a) 279 (b)283

(c) 308 (d) 318

37. The L.C.M of two numbers is 495 and their H.C.F

is 5. If the sum of the number is 100, then their

difference is-

(a) 10 (b) 46

(c) 70 (d) 90

38. The product of the L.C.M and H.C.F of two

numbers is 24. The difference of two numbers is

2. Find the numbers-

(a) 2 and 4 (b) 6 and 4

(c) 8 and 6 (d) 8 and 10

39. The L.C.M of two numbers is 45 times their

H.C.F. If one of the numbers is 125 and the sum

of H.C.F and L.C. M is 1150, the other number

is-

(a) 215 (b) 220

(c) 225 (d) 235

40. Product of two co-prime numbers is 117. Their

L.C.M should be-

(a) 1 (b) 117

(c) equal to HCF

(d) cannot bo calculated

41. The L.C.M of three different numbers is 120.

Which of the following cannot be their HCF?

(a) 8 (b) 12

(c) 24 (d) 35

42. The H.C.F. of two numbers is 8. Which one the

following can never be their LCM?

(a) 24 (b) 48

(c) 56 (d) 60

43. H.C.F. of 3240, 3600 and a third number is 36 and

their LCM is 2254 7532 . The third number

is-

(a) 252 732 (b) 232 752

(c) 225 752 (d) 253 732

44. The sum of two numbers is 216 and their HCF is

27. The nubers are:

(a) 27, 189 (b) 108, 108

(c) 200, 16 (d) 100, 116

45. The ratio of two numbers is 3:4 and their HCF is

4. The numbers are-

(a) 9, 12 (b) 12, 16

(c) 16, 18 (d) 20, 24

46. The ratio of two numbers is 4:5 and their HCF is

2. The LCM is-

(a) 20 (b) 10

(c) 40 (d) 60

47. The ratio of two numbers is 2:3 and their LCM is

48. The number are-

(a) 16, 24 (b) 8, 6

(c) 12, 18 (d) 12, 24

48. The ratio of two numbers is 3:2 and their LCM is

72. Their HCF is-

(a) 24 (b) 3

(c) 6 (d) 12

49. The sum of two numbers is 36 and their HCF is 4.

How many number of pairs may be possible-

(a) 1 (b) 2

(c) 3 (d) 4

50. A number when divided by 10 leaves a remainder

9, when divided by 9 leaves a remainder of 8,

when divided by 8 leaves a remainder of

7,.................... When divided by 2 leaves a

remainder of 1. Find the number

(a) 31 (b) 1029

(c) 2519 (d) 1679

ANSWERS

10. (b)

11. (a)

12. (a)

13. (b)

14. (c)

15. (b)

16. (c)

17. (d)

18. (b)

1. (d)

2. (c)

3. (a)

4. (c)

5. (a)

6. (b)

7. (c)

8. (d)

9. (c)

19. (c)

20. (c)

21. (d)

22. (b)

23. (c)

24. (b)

25. (a)

26. (b)

27. (d)

28. (c)

29. (b)

30. (b)

31. (b)

32. (a)

33. (b)

34. (a)

35. (c)

36. (c)

37. (a)

38. (b)

39. (c)

40. (b)

41. (d)

42. (d)

43. (a)

44. (a)

45. (b)

46. (c)

47. (a)

48. (a)

49. (c)

50. (c)

Simplification

1. ?......5555

(a) 1 (b) 16

15

5

(c) 5 (d) 25

2. ?6666

(a) 6 (b) 16

15

6

(c) 15

16

6 (d) 36

3. ?........666

(a) 2 (b) 3

(c) 6 (d) 1

4. ?........121212

(a) 3 (b) 4

(c) 12 (d) 1

5. ?........121212

(a) 3 (b) 4

(c) 12 (d) 1

6. ?919122920

(a) 5 (b) 4

(c) 3 (d) 2

7. ?1227

(a) 23 (b) 23

(c) 73 (d) 73

8. ?215

(a) 372

1 (b) 37

2

1

(c) 352

1 (d) 35

2

1

9. If 161

4

xx then the value of 100

100 1

xx is

(a) 2 (b) 2(c) 100 (d) None of these

10. If 381

2

2 x

x . Find the value of 3

3 1

xx is.

(a) 234 (b) 398

(c) 36 (d) 14

11. If 4p

q

q

p. Find the value of

3

3

3

3

p

q

q

p is.

(a) 534 (b) 536

(c) 538 (d) 524

12. If 142

2

2

2

x

y

y


3

3

3

x

y

y

x is.

(a) 50 (b) 52

(c) 66 (d) 76

13. If 3

2

1

12

2

xx

xx. Find the value of

xx

1 is

(a) 3 (b) 4

(c) 5 (d) 6

14. If 32244 xx . Find the value of 1 xx is

(a) 2 (b) 5

(c) 2 (d) 4

15. 9.03.03.02.02.09.03.03.02.02.09.09.0

3.02.09.033.03.03.02.02.02.09.09.09.0

=?

(a) 1.4 (b) 0.054

(c) 0.8 (d) 1.0

16. If 41

2 P

P . Find the value of 3

3

8

1

PP

(a) 4 (b) 5

(c) 8 (d) 15

17. If 11a 9b . Find the value of 33

22

ba

abba

(a) 2

1(b) 2

(c) 20

1(d) 20

18. If 1819 yandx . Find the value of

33

22

yx

xyyx

(a) 1 (b) 37

(c) 324 (d) 361

19. If 21

xx . Find the value of 3

3 1

xx

(a) 3 (b) 2

(c) 1 (d) 0

20. If 12

2 x


3 1

xx

(a) 8

13(b)

8

11

(c) 8

11(d)

8

13

21. If 43

12

xx . Find the value of 3

3

8

127

xx

(a) 91 (b) 234

(c) 243 (d) 242

22. If 21

xx . Find the value of

353

222

2

xx

x

(a) 11

4(b)

2

1

(c) 4

31 (d)

3

12

23. If 21

xx . Find the value of

xx

1

(a) 2 (b) 2

(c) 12 (d) 1

24. If 021

a

a then the value of 100

37 1

aa is

(a) 0 (b) 2(c) 1 (d) 2

25. If 361

3

3

xx than the value of

xx

1 is

(a) 1 (b) 2

(c) 3 (d) 4

26. If 41

xx then the value of

12

1

2

2

4

xxx

x is

(a) 52 (b) 26

(c) 64 (d) 13

27. 63 223.21 is equal to

(a) 22 (b) 12

(c) 1 (d) 223

28. .............4.3

1

3.2

1

2.1

1 ?

12.11

1

(a) 8

11(b)

12

11

(c) 6

11(d)

10

11

29. ?132

1

110

1

90

1

72

1

56

1

42

1

30

1

20

1

(a) 8

1(b)

7

1

(c) 6

1(d)

10

1

30. If 644096 then the value of

00004096.0004096.04096.096.40

is

(a) 7.09 (b) 7.10

(c) 7.11 (d) 7.12

31. If

244

44

xx

xx then the vlaue of x:

(a) 2.4 (b) 3.2

(c) 4 (d) 5

32. ?22

221

1

nn

nn

(a) 1 (b) 2

1

(c) 2

3(d) 0

33. ?.....42424270074

(a) 12 (b) 10

(c) 9 (d) None of these

34. Which one of the following is at least?

1113,1315,1517,1719

(a) 1719 (b) 1517

(c) 1315 (d) 1113

35. Find the value of-

4

1

....62525375151255

....401024682

(a) 7

2(b)

5

2

(c) 7

3(d)

5

3

36. Find the value of

22222 12

11

11

11........

5

11

4

11

3

11

(a) 18

13(b)

19

15

(c) 23

21(d)

21

13

37. If ,0343 2 xx then the value of x

x1

is:

(a) 4

3(b)

3

4

(c) 3 (d) 4

38. If 21

xx find the value of

3

3

2

2 11

xx

xx is:

(a) 6 (b) 4

(c) 8 (d) 2

39.If 35

35

35

352

x , then the value of x

is:

(a) 30 (b) 15

(c) 15 (d) 6

40. ?876543876543

8765448765421

(a) 0 (b) 1

(c) 2 (d) 3

41. If 23

23,

23

23

ba then the value of

a

b

b

a 22

is:

(a) 970 (b) 1030

(c) 930 (d) 900

70. If 5633 ba and 2 ba , then the value of22 ba is:

(a) 12 (b) 20

(c) 18 (d) 10

42. If 981

2

2 a

a , then the value of 3

3 1

aa is:

(a) 535 (b) 1030

(c) 790 (d) 970

43. If 32,32 yx then the value of

33

22

yx

yx

is:

(a) 38

7(b)

40

7

(c) 19

7(d)

26

7

44. If ,53

15

aa then the value of

2

2

25

19

aa is:

(a) 5

34(b)

5

39

(c) 5

42(d)

5

52

45. If ,732.13 then the value of

503212235

63

is:

(a) 4.899 (b) 2.551

(c) 1.4141 (d) 1.732

46. If ,2

3x then the value of xx 11 is:

(a) 3

1(b) 32

(c) 3 (d) 2

47. If 1191

4

4 x

x then the value of x

x1

is:

(a) 4 (b) 9

(c) 3 (d) 2

48. If 12,12 ba then the value of

1

1

1

1

ba is:

(a) 9 (b) 3

(c) 1 (d) 2

49.If 223x then the value of 3

246 1

x

xxx is:

(a) 192 (b) 240

(c) 204 (d) 212

50. If 3533 yx and 5 yx then the value of

yx

11 is:

(a) 7

4(b)

8

3

(c) 6

5(d)

5

3

51. If 32

3

x and ,

32

32

y then the value of

xyyx 22 is:

(a) 195 (b) 200

(c) 175 (d) 185

52. If 31


5 1

xx is:

(a) 123 (b) 126

(c) 113 (d) 129

53. If xx 212 then the value of 13

1

2

2

4

xxx

x is:

(a) 2 (b) 2(c) 0 (d) 1

54. If 161

2


6 1

xx is:

(a) 2744 (b) 2702

(c) 2704 (d) 2742

55. ?72

1

56

1

42

1

30

1

20

1

12

1

6

1

9

1

(a) 2

1(b) 0

(c) 9

1(d)

2520

1

56. ?4.0

(a) 8.0 (b) 6.0

(c) 7.0 (d) 9.0

57. ?037.03

(a) 0.3 (b) 3.0

(c) 6.0 (d) 6.0

58. ?

5

41

31

21

(a) 4

7(b)

7

4

(c) 5

7(d)

7

3

59. If 5633 ba and 2 ba , then the value of22 ba is:

(a) 12 (b) 20

(c) 18 (d) 10

60. ?342.0

(a) 495

116(b)

99

234

(c) 990

214(d)

99

108

61.

?45

1

56

1

67

1

78

1

89

1

(a) more then 3 (b) 0

(c) less then 3 (d) None of these

62. ?22

1

22

122

(a) 22 (b) 2

(c) 22 (d) 22

63. ?99100

1........

34

1

23

1

12

1

(a) 9 (b) 10

(c) 11 (d) 12

64. Which one is smallest 33 4,2,2,3

(a) 3 (b) 3 2

(c) 2 (d) 3 4

65.

4

11

13

12

1

= ?

(a) 43

19(b)

19

43

(c) 84

17(d)

97

16

66. What is the value of

?19

11.....

9

11

8

11

7

11

(a) 10

(b)

19

6

(c) 13

17(d)

2

9

67. The value of 5

3

4

18

5

113

8

14

3

15 is-

(a) 3

12 (b)

5

111

(c) 23 (d) 10

68.27.427.427.473.873.873.8

27.427.427.473.873.873.8

is equal to:

(a) 11 (b) 7

41

(c) 13 (d) 11

19

69. What is the value of–

666888

333444

(a) 250 (b) 751

(c) 251 (d) 1250

70. If 1070

11.....

4

11

3

11

2

11

x

, then

what is the value of x?

(a) 7

1(b) 7

(c) 70

1(d) 70

ANSWERS

13. (c)14. (d)15. (a)16. (b)17. (a)18. (a)19. (b)20. (b)21. (c)22. (a)23. (b)24. (b)

1. (c)2. (b)3. (b)4. (a)5. (b)6. (a)7. (a)8. (a)9. (a)10. (a)11. (a)12. (b)

25. (c)26. (b)27. (c)28. (b)29. (c)30. (c)31. (d)32. (c)33. (a)34. (a)35. (b)36. (a)

37. (b)38. (b)39. (b)40. (b)41. (a)42. (d)43. (d)44. (b)45. (d)46. (c)47. (c)48. (c)

49. (c)50. (c)51. (a)52. (a)53. (b)54. (b)55. (a)56. (b)57. (b)58. (a)59. (b)60. (a)

61. (a)62. (c)63. (a)64. (b)65. (a)66. (b)67. (c)68. (c)69. (d)70. (a)

Square Roots AND Cube Roots

1- (i) ?1112 (ii) ?1111

2

(iii) ?452 (iv) ?65

2

(v) ?852 (vi) ?95

2

(vii) ?472 (viii) ?46

2

(ix) ?492 (x) ?38

2

(xi) ?362 (xii) ?34

2

(xiii) ?542 (xiv) ?57

2

(xv) ?622 (xvi) ?67

2

(xvii) ?532

2- (i) ?992 (ii) ?999

2

(iii) ?1072 (iv) ?113

2

(v) ?1062 (vi) ?93

2

(vii) ?872 (viii) ?84

2

3- (i) ?7921 (ii) ?4489

(iii) ?9216 (iv) ?6889

(v) ?3481 (vi) ?12544

(vii) ?17956 (viii) ?32041

(ix) ?45369 (x) ?56169

(xi) ?58081 (xii) ?63504

(xiii) ?84681

4. (i) ?1851933 (ii) ?2269813

(iii) ?4745223 (iv) ?5513683

(v) ?9126733 (vi) ?5927043

(vii) ?9411923 (viii) ?2500473

(ix) ?14428973 (x) ?20483833

(xi) ?14815443 (xii) ?16016133

(xiii) ?10927273 (xiv) ?15208753

(xv) ?12250433 (xvi) ?15608963

(xvii) ?26280723

5. If ,2256 x then x is equal to:

(a) 64 (b) 128

(c) 512 (d) 1024

6. Given than 644096 , the value of

004096.96.404096 is:

(a) 70.4 (b) 70.464

(c) 71.104 (d) 71.4

7. 14452248

(a) 14 (b) 16

(c) 16.6 (d) 18.8

8. ?8

256

12

576

169

338

(a) 8 (b) 12

(c) 16 (d) 32

9. If 39

54

169

x, then x is equal to:

(a) 108 (b) 324

(c) 2916 (d) 4800

10. If

131

169

271

x, then x equal to:

(a) 1 (b) 3

(c) 5 (d) 7

11. If 12515625 , then the value of

5625.125.15615625 is:

(a) 1.3875 (b) 13.875

(c) 138.75 (d) 156.25

12. ?16

91

(a) 4

31 (b)

4

11

(c) 1.125 (d) None of these

13. If 642 n , then the value of n is:

(a) 2 (b) 4

(c) 6 (d) 12

14. If 732.13 and 414.12 the value of

23

1

is:

(a) 0.064 (b) 0.308

(c) 0.318 (d) 2.146

15.128

4832

= ?

(a) 2 (b) 2

(c) 4 (d) 8

16. ?4

3

3

4

(a) 32

1(b)

3

1

(c) 1 (d) 6

35

17. The least perfect square number divisible by 3, 4,5, 6, 8 is:

(a) 900 (b) 1200

(c) 2500 (d) 3600

18. If ,72401 x then the value of the x is:

(a) 3 (b) 4

(c) 5 (d) 6

19. What smallest number must be added to 269 tomake it a perfect square:

(a) 31 (b) 16

(c) 7 (d) 20

20. ?96

21624

(a) 62 (b) 26

(c) 2 (d) 6

2

21. A gardner wants to plant 17956 trees and arrangesthem in such a way that there are as many rowsas there are trees in a row. The number of treesin a row is:

(a) 144 (b) 136

(c) 154 (d) 134

22. ?216

9113

(a) 6

51 (b)

6

(c) 6

911

3

(d) None of these

23. What is the smallest number by which 3600 bedivivded to make it a perfect cube?

(a) 9 (b) 50

(c) 300 (d) 450

24. The difference of the squares of two consecuticeeven integers is divisible by which of the followingintegers?

(a) 3 (b) 4

(c) 6 (d) 7

25. The difference of the squares of two consecuticeodd integers is divisible by which of the followingintegers?

(a) 3 (b) 6

(c) 7 (d) 8

26. Which one of the following cannot be the squareof a natural number?

(a) 30976 (b) 75625

(c) 28561 (d) 143642

27. Which one of the following cannot be the squareof a natural number?

(a) 32761 (b) 81225

(c) 42437 (d) 20164

28. 3 641913214 dk eku gS&

(a) 3 (b) 9

(c) 7 (d) 5

29. 19686134 dk eku gS&

(a) 14 (b) 16

(c) 12 (d) 18

30.34

34

34

34

cjkcj gksxk&

(a) 3342 (b) 3342

(c) 7 (d) 4

ANSWERS

(xiii ) (2916)

(xiv ) (3249)

(xv ) (3844)

(xvi ) (4489)

(xvii ) (2809)

2.(i ) (9801)

(ii ) (998001)

(iii ) (11449)

(iv ) (12769)

(v ) (11236)

(vi ) (8649)

(vii ) (7569)

1.(i ) (12321)

(ii ) (1234321)

(iii ) (2025)

(iv ) (4225)

(v ) (7225)

(vi ) (9025)

(vii ) (2209)

(viii ) (2116)

(ix ) (2401)

(x ) (1444)

(xi ) (1296)

(xii ) (1156)

(viii ) (7056)

3.(i ) (89)

(ii ) (67)

(iii ) (96)

(iv ) (83)

(v ) (59)

(vi ) (112)

(vii ) (134)

(viii ) (179)

(ix ) (213)

(x ) (237)

(xi ) (241)

(xi ) (114)

(xii ) (117)

(xiii ) (103)

(xiv ) (115)

(xv ) (117)

(xvi ) (116)

(xvii ) (138)

5. (a)6. (b)7. (b)8. (a)9. (b)10. (a)11. (c)12. (b)13. (d)

(xii ) (252)

(xiii ) (291)

4.(i ) (57)

(ii ) (61)

(iii ) (78)

(iv ) (82)

(v ) (97)

(vi ) (84)

(vii ) (98)

(viii ) (63)

(ix ) (113)

(x ) (127)

14. (c)15. (b)16. (a)17. (b)18. (b)19. (d)20. (c)21. (d)22. (b)23. (d)24. (b)25. (d)26. (d)27. (c)28. (a)29. (c)30. (c)

AVERAGE

1. If a, b, c, d, e are five consecutive odd integers,then what is their average?

(1) a + 4 (2) abcd

5

(3) 5 (a + b + c + d + e) (4) a + 8

(5) None of these

2. The average age of 24 students and the classteacher is 16 years. If the class teacher’s age isexcluded, the average reduces by 1 year. What isthe age of the class teacher?

(1) 50 years (2) 45 years

(3) 40 years (4) D a t ainadequate

(5) None of these

3. The average of 8 numbers is 14. If 2 is subtractedfrom each given number, then what will be thenew average?

(1) 12 (2) 10

(3) 16 (4) 15

(5) None of these

4. The average age of x numbers is 3x. If x - 1 issubtracted from each given number, then what willbe the new average?

(1) 2x + 1 (2) 3(x - (1)

(3) 2x - l (4) D a t ainadequate

(5) None of these

5. The average age of 34 boys in a class is 14 years.If the teacher’s age is included, the average ageof boys and the teacher becomes 15 years. Whatis the teacher’s age?



(5) None of these

6. The average of 40 numbers is 405. If each of thenumber is divided by 15, then find the average ofnew set of numbers.

(1) 27 (2) 28

(3) 21 (4) 26

(5) None of these

7. The average of 8 numbers is 21. If each of thenumber is multiplied by 8, then find the average ofnew set of numbers.

(1) 168 (2) 167

(3) 158 (4) 161

(5) None of these

8. The average weight of 8 persons increases by1.5kg, if a person weighing 65kg is replaced by anew person. What could be the weight of the newperson?

(1) 76 kg (2) 77 kg

(3) 76.5 kg (4) D a t ainadequate

(5) None of these

9. In a class, there are 24 boys whose average ageis decreased by 3 months, when 1 boy aged 20years is replaced by a new boy. Find the age ofthe new boy.



(5) None of these

10. The average of marks obtained by 77 candidatesin a certain examination is 17. If the average marksof passed candidates are 19 and that of the failedcandidates are 8, then what is the number ofcandidates who passed the examination?

(1) 36 (2) 63

(3) 40 (4) 70

(5) None of these

11. A batsman in his 16th innings makes a score of 92and thereby increases his average by 4. What ishis average after 19 innings?

(1) 32 (2) 30

(3) 34 (4) 23

(5) None of these

12. A constant distance from A to B is covered by aman at 40km/hr. The person rides back the samedistance at 60 km/hr. Find his average speed duringthe whole journey.

(1) 48km/hr (2) 50km/hr

(3) 44km/hr (4) 52km/hr

(5) None of these

13. The average salary of the entire staff in an officeis Rs 130 per month. The average salary ofofficers is Rs 540 and that of non-officers is Rs114. If the number of officers is 16, then find thenumber of non-officers in the office.

(1) 140 (2) 410

(3) 510 (4) 150

(5) None of these

14. A car runs for t1 hours at v

1 km/hr and t

2 hours at

v2 km/hr. What is the average speed of the car

for the entire journey?

(1)1 2

1 1 2 2

t + tkm / hr

v t + v t

(2)1 1 2 2

1 2

v t + v tkm / hr

t + t

(3)1 1 2 1

1 2

v t + v tkm / hr

t + t

(4)1 2

1 1 2 2

v + vkm / hr

v t + v t

(5) None of these

15. A car runs ‘x’ km at an average speed of v1 km/

hr and ‘y’ km at an average speed of v2 km/hr.

What is the average speed of the car for the entirejourney?

(1)1 2

2 1

v v (x + y)km / hr

xv + yv

(2)2 1

1 2

xv + yvkm / hr

v v (x + y)

(3)1 2

1 2

xy (v + v )km / hr

xv × yv

(4))1 2

1 2

(xv + yvkm / hr

xy (v + v )

(5) None of these

16. An aeroplane covers the four sides of square field

at speeds of 200, 400, 600 and 800 km/hr. Theaverage speed of the plane in the entire journey is

(1) 600km/hr (2) 400km/hr

(3) 500km/hr (4) 384km/hr

(5) None of these

17. The mean of the marks obtained by 100 studentsis 60. If the marks obtained by one of the studentswas incorrectly calculated as 75, whereas theactual mark obtained by him was 65, then what isthe correct mean of the marks obtained by thestudents?

(1) 59 (2) 58.50

(3) 50 (4) 55

(5) None of these

18. In one-day cricket match the captain of one theteams scored 30 runs more than the average runsscored by the remaining six batsmen of that teamwho batted in the match. If the total runs scoredby all the batsmen of that team were 310, thenhow many runs did the captain score?

(1) 60

(2) 70

(3) 50


(5) None of these

19. The average of four numbers A, B, C and D is 40.The average of four numbers A, B, E and F isalso 40. (A, B are common). Which of thefollowing must be true?

(1) (A + B C + D) (2) (C + D = E + F)

(3) Either C = E or F; and D = F = or E

(4) The data set has even numbers of observations

(5) None of these

20. The average of four positive integers is 72.5, thehighest integer is 117 and the lowest integer is 15.The difference between the remaining two integersis 12. Which is the higher of these two remainingintegers?

(1) 73

(2) 84

(3) 70


(5) None of these

21. A, B, C and D are four consecutive even numbersrespectively and their average is 65. What is theproduct of A and D?

(1) 3968 (2) 4216

(3) 4092 (4) 4352

(5) None of these

22. The sum of five numbers is 555. The average ofthe first two numbers is 75 and the third number is115. What is the average of the last two numbers?

(1) 145 (2) 290

(3) 265 (4) 150

(5) None of these

23. The average age of A, B and C is 26 years. If theaverage age of A and C is 29 years, then what isthe age of B in years?



(5) None of these

24. The sum of three consecutive even numbers is 44more than the average of these numbers. Whichof the following is the third (largest) of thesenumbers?

(1) 16

(2) 18

(3) 24


(5) None of these

25. Average weight of 10 boys is more than theaverage weight of 15 girls by 5kg. If the totalweight of the 10 boys is 550, what is the averageweight of the 10 boys and 15 girls together?

(1) 52 kg (2) 52.5 kg

(3) 53 kg (4) 53.5 kg

(5) None of these

26. The average age of a class of 65 boys was 14years, the average age of 20 of them was 14 years,and that of another 15 was 12 years. Find theaverage age of the remaining boys.



(5) None of these

27. A, B, C and D are four consecutive odd numbers

and their average is 42. What is the product of Band D?

(1) 1136 (2) 1340

(3) 1845 (4) 1965

(5) None of these

28. The sum of five numbers is 260. The average ofthe first two numbers is 30 and average of the lasttwo numbers is 70. What is the third number?

(1) 33

(2) 60

(3) 75


(5) None of these

29. The average of 5 consecutive odd numbers A, B,C, D and E is 47. What is the product of A and D?

(1) 2107 (2) 1935

(3) 2021 (4) 2193

(5) None of these

30. The average weight of three men A, B and C is84 kg. D joins them and the average weight of thefour becomes 80 kg. If E, whose weight is 3kgmore than that of D, replaces A, the averageweight of B, C, D and E becomes 79 kg. Theweight of A is

(1) 65 kg (2) 70 kg

(3) 75 kg (4) 80 kg

(5) None of these

31. Ajay scored 20, 30, 60, 25 and 40 marks in fivesubjects. What is his average mark in fivesubjects?

(1) 35 (2) 30

(3) 32.5 (4) 38

(5) None of these

32. The average of 5 quantities is 6. The average of 3of them is 8. What is the average of the remainingtwo numbers?

(1) 4 (2) 3

(3) 3.5 (4) 4.2

(5) None of these

33. The average temperature on Wednesday,Thursday and Friday was 250oc. The averagetemperature on Thursday, Friday and Saturday was

240oc. If the temperature on Saturday was 270oc,what was the temperature on Wednesday?

(1) 310 (2) 325

(3) 275 (4) 300

(5) None of these

34. The average rainfall for the 3 days out of fivedays was recorded to be 0.45 inches. The rainfallon the last two days was in the ratio 2 : 3. Theaverage of five days was 0.40 inches. What wasthe rainfall on the last day?

(1) 0.385 (2) 0.39

(3) 0.375 (4) 0.42

(5) None of these

35. When a student weighing 45 kgs left a class, theaverage weight of the remaining 59 studentsincreased by 200g. What is the average weight ofthe remaining 59 students?

(1) 40 kg (2) 32 kg

(3) 33.5 kg (4) 35 kg

(5) None of these

36. The average weight of a class of 24 students is 36kg. When the weight of the teacher is alsoincluded, the average weight increases by 1kg.What is the weight of the teacher?

(1) 61 kg (2) 55 kg

(3) 64 kg (4) 60 kg

(5) None of these

37. The average of 5 quantities is 10 and the averageof 3 of them is 9. What is the average of theremaining 2?

(1) 11 (2) 15

(3) 10.5 (4) 11.5

(5) None of these

38. The average age of a family of 5 members is 20years. If the age of the youngest member be 10years then what was the average age of the familyat the time of the birth of the youngest member?

(1) 12.5 (2) 15

(3) 22 (4) 11

(5) None of these

39. A student finds the average of 10 positive integers.Each integer contains two digits. By mistake, theboy interchanges the digits of one number say ‘ba’

for ‘ab’. Due to this, the average becomes 1.8less than the previous one. What was thedifference of the two digits a and b?

(1) 1 (2) 2.4

(3) 2.2 (4) 2

(5) None of these

40. Average cost of 5 apples and 4 mangoes is Rs.36. The average cost of 7 apples and 8 mangoesis Rs. 48. Find the total cost of 24 apples and 24mangoes

(1) 3444 (2) 2088

(3) 2064 (4) 3032

(5) None of these

41. If the mean of numbers 28, x, 42, 78 and 104 is 62,then what is the mean of 128, 255, 511, 1023 andx?

(1) 390 (2) 409

(3) 368 (4) 324

(5) None of these

42. The average age of a group of 10 students was20. The average age increased by 2 years whentwo new students joined the group. What is theaverage age of the two new students who joinedthe group?

(1) 35.5 (2) 27.5

(3) 32 (4) 30

(5) None of these

43. The average of 6 quantities is 12. The average of4 of them is 9. What is the average of theremaining two numbers?

(1) 14 (2) 12.75

(3) 14.25 (4) 15

(5) None of these

44. The average of 20 numbers is zero. One of them,at most, how many may be greater than zero?

(1) 15 (2) 17

(3) 20 (4) 19

(5) None of these

45. The average weight of a group of 30 friendsincreases by 1 kg when the weight of their footballcoach was added. If average weight of the groupafter including the weight of the football coach is31kgs, what is the weight of their football coach

in kgs?

(1) 61 (2) 30

(3) 64 (4) 60

(5) None of these

46. The arithmetic mean of the 5 consecutive integersstarting with’s’ is ‘a’. What is the arithmetic meanof 9 consecutive integers that start with s + 2?

(1) a + 8 (2) a + 6

(3) a + 2.4 (4) a + 5

(5) None of these

47. 10 kg of rice priced at Rs. 12 per kg is mixed with6 kg of rice priced at Rs.16 per kg. What is theaverage price of the whole mixture?

(1) 7.5 (2) 10

(3) 8.3 (4) 9

(5) None of these

48. Rahul Ghosh walks from A to B at 8 km/h andcomes back from B to A at 12 km/h. What is hisaverage speed for the entire journey?

(1) 9 kmph (2) 9.6 kmph

(3) 10 kmph (4) 12 kmph

(5) None of these

49. In a class of 60 students, the average height of 30students is ‘x’ cm and that of the remainingstudents is ‘y’ cm. Find the average height of thewhole class.

(1) (3x+2y)/2 (2) (x+y)/2

(3) (2x+y)/2 (4) (x+2y)/2

(5) None of these

50. The average of seven consecutive even numbersis 10. If the next three even numbers are included,then what is the new average?

(1) 6.8 (2) 12.2

(3) 11.8 (4) 8.2

(5) None of these

51. The average of the amount of money that 10 girlshave is Rs.45. When two more girls join, theaverage increases by Rs. 2. Find the averageamount of the two new girls.

(1) 57 (2) 47

(3) 60 (4) 50

(5) None of these

52. The average weight of seven members of a familyis 18 kg. If the head of the family is not considered,the average weight of the others would be 5 kgless. The weight of the head of the family is

(1) 55kg (2) 50kg

(3) 48 kg (4) 60kg

(5) None of these

53 What is the average of the first 15 multiples of 3?

(1) 30 (2) 15

(3) 27 (4) 21

(5) None of these

54. The average age of 7 members of the family is 25years. If one of the members, whose age is 28years, is excluded, then others are in the ratio1:2:3:4:5:6. Find the age of the eldest member ofthe family.



(5) None of these

55. 5 kg of rice priced at Rs. 10 per kg is mixed with6 kg of rice priced at Rs.12 per kg. What is theaverage price of the whole mixture?

(1) Rs. 4.5/kg (2) Rs. 4.8/kg

(3) Rs.5.5/kg (4) Rs. 5.54/kg

(5) None of these

56. The average weight of five members of a team is20 kg. If the captain of the team is not considered,the average weight of the others would be 4 kgless. The weight of captain is

(1) 44 (2) 36

(3) 40 (4) 38.6

(5) None of these

57. The average of 50 numbers is 30. If two numbers,35 and 40 are discarded, then the average of theremaining numbers is nearly

(1) 29 (2) 28.86

(3) 30 (4) 29.68

(5) None of these

58. The average of five numbers is 27. If one numberis excluded, the average becomes 25. Theexcluded number is

(1) 35 (2) 25

(3) 27 (4) 32.5

(5) None of these

59. The average age of 35 students in a class is 16years. The average age of 21 students is 14. Whatis the average age of remaining 14 students?

(1) 18 years (2) 15.5 years


(5) None of these

60. Three years ago, the average age of the family of5 members was 17 years. Inspite of the birth of achild in the family, the present average age of thefamily remains the same. The present age of thechild is

(1) 2.5 years (2) 3.5 years


(5) None of these

61. A batsman has a certain average of runs for 16innings. In the 17th inning, he makes a score of 85runs, thereby increasing his average by 3 runs.What is the average after the 17th inning?

(1) 45 (2) 90

(3) 87 (4) 70

(5) None of these

62. The average age of two-third of the class is 17.What should be the average age of the remainingone-third students so that the average age of theentire class is 20?



(5) None of these

63. In a school, the average weight of 30 girls in aclass of 50 students is 16 kg and that of theremaining students is 15.5 kg. What is the averageweight of all the students in the class?

(1) 15.5 (2) 15.8

(3) 15.75 (4) 5.9

(5) None of these

64. In what ratio must 35% spirit be mixed with purespirit to get a resultant solution of 56% spirit?

(1) 56/21 (2) 45/21

(3) 45/35 (4) 44/21

(5) None of these

65. The average weight of five wrestlers in a group is450 kg. If another wrestler joins the group, then

he brings down the average to 400 kg. What isthe weight of new wrestler?

(1) 100 kgs (2) 190 kgs

(3) 150 kgs (4) 250 kgs

(5) None of these

66. Anil married 10 years ago at the age of 27 years.His wife was 23 years old then. Six years aftertheir marriage, the average age of Anil, his wifeand their son was 22 years. After how many yearsof Anil marriage was his son born?

(1) 1 (2) 1.6

(3) 2 (4) 2.4

(5) None of these

67. Average age of A, B and C is 84 years howeverwhen D joins them, then the average comes downto 80. Now, new person E whose age is 3 yearsmore than D replaces A and the new average is79 years. What is the age of A?



(5) None of these

68. The average of the first nine prime numbers is

(1) 11.11 (2) 19.3

(3) 14 (4) 13.7

(5) None of these

69. The average of first six numbers is 24 and theaverage of first five numbers is 20. What is thevalue of the sixth number?

(1) 40 (2) 24

(3) 32 (4) 30

(5) None of these

70. Average age of A, B and C is 64 years howeverwhen D joins them, then the average comes downto 60. Now, new person E whose age is 4 yearsmore than D replaces A and the new average is59 years. What is the age of A?



(5) None of these

71. What is the average of the square of the first 10natural numbers?

(1) 1579 (2) 1677.5

(3) 1400 (4) 2144.8

(5) None of these

72. In what ratio must 25% milk be mixed with puremilk to get a resultant solution of 40% milk?

(1) 12/5 (2) 25/40

(3) 14/5 (4) 15/4

(5) None of these

73. The average age of 7 members of the family is30. If one of the members, whose age is 42 years,is excluded, then others are in the ratio 1:2:3:4:5:6.Find the age of the second eldest member of thefamily.



(5) None of these

74. The average age of one-third of the class is 27.What should be the average age of the remainingtwo-third students so that the average age of theentire class is 20?

(1) 18.6 years (2) 22 years

(3) 17 years (4) 16.5 years

(5) None of these

75. What is the average of first 300 natural numbers?

(1) 148 (2) 150.5

(3) 144 (4) 152

(5) None of these

76. The average age of the students in a class is 35years. If a student whose age is 25, is absent from

the class, the average of those present goes up by1. How many students were there in the classoriginally?

(1) 11 (2) 16

(3) 13 (4) 15

(5) None of these

77. What is the average of first fifty even numbers?

(1) 2555 (2) 2255

(3) 2550 (4) 2500

(5) None of these

78. 15 litres of pure milk are added to 30 litres of amilk solution containing 15% milk. Find theconcentration of the resultant solution.

(1) 82.5% (2) 75.5%

(3) 75% (4) 76.5%

(5) None of these

79. What is the average of first fifty odd numbers?

(1) 2255 (2) 2500

(3) 2550 (4) 2555

(5) None of these

80. Find the average of all the numbers between 6and 34 which are divisible by 5.

(1) 24.5 (2) 20.25

(3) 25 (4) 22.5

(5) None of these

ANSWERS

15. 116. 417. 518. 219. 220. 521. 222. 123. 224. 325. 126. 427. 328. 2

1. 12. 33. 14. 35. 36. 17. 18. 29. 110. 211. 112. 113. 214. 2

29. 130. 331. 132. 233. 434. 235. 336. 137. 438. 139. 440. 241. 542. 3

43. 544. 445. 146. 247. 348. 249. 250. 551. 152. 353. 554. 155. 456. 2

57. 458. 159. 460. 461. 562. 263. 264. 465. 366. 367. 268. 169. 570. 2

71. 272. 173. 574. 475. 276. 177. 378. 479. 280. 5

PROBLEM BASED ON AGES

1.The age of Arvind’s father is 4 times his age. If 5 yearsago, father’s age was 7 times of the age of his sonat that time, what is Arvind’s father’s present age?

(1) 84 years (2) 70 years (3) 40 years

(4) 35 years (5) None of these

2. The age of Ramesh is four times the age of Suresh.After ten years the age of Ramesh will be onlytwice the age of Suresh. Find the present age ofSuresh.



3. 10 years ago Chandravati’s mother was 4 timesolder than her daughter. After 10 years, the motherwill be twice older than the daughter. The presentage of Chandravati is :



4. 14 years ago Ram was 4 times the age of Pankaj. Ifthe present age of Ram is twice the age of Pankaj,what will be the total of their present ages?



5. At present the age of the father is 3 times the ageof his son, 9 years hence the fathers’ age would betwice that of his son. What is the sum of thepresent ages of father and his son?



6. The sum of the ages of a father and a son is 50years. Also, 5 years ago, the father’s age was 7times the age of the son. The present ages of thefather and the son respectively, are :

(1) 35 years, 15 years (2) 40 years, 10 years


(5) None of these

7. The sum of the ages of a son and father is 56 years.After four years, the age of the father will be threetimes that of the son. Their ages respectively are :



(5) None of these

8. The ratio of the ages of father and son at presentis 6 : 1. After 5 years, the ratio will become 7 : 2.The present age of the son is :



9. The ratio of the ages of A and B at present is 4 :

3. 10 years earlier, the ratio was 3 : 2, then find thepresent ages of A and B (in years).

(1) 40, 30 (2) 48, 36 (3) 64, 48

(4) 20, 15 (5) None of these

10. The ratio of the ages of A and B at present is 5 :3. After 7 years the ratio will become 3 : 2. What is

the sum of the present ages of A and B?



11. If the product of the present ages of A and B is 750years and the ratio of their present ages is 6 : 5.Find the difference between their present ages.



12. If the ratio of the ages of A and B at present is 2

: 1. 6 years earlier, the ratio was 3 : 1. What is thesum of the present ages of A and B?



13. A man’s age is 150% of what it was 10 years ago,but 75% of what it will be after 10 years. What is

his present age?



14. The ratio of P’s and Q’s ages is 5 : 7. If thedifference between the present age of Q and theage of P 6 years hence is 2 then what is the total

of present ages of P and Q?


(3) 56 years (4) Data inadequate

(5) None of these

15. If the age of P and R are added to twice the age ofQ, the total becomes 59. If the ages of Q and R are

added to thrice the age of P, the total becomes 68.And if the age of P is added to thrice the age ofQ and thrice the age of R, the total becomes 108.

What is the age of P?

(1) 15 yrs. (2) 19 yrs. (3) 17 yrs.

(4) 12 yrs. (5) None of these

16. The product of the ages of Harish and Seema is240. If twice the age of Seema is more than Harish’sage by 4 years, what is Seema’s age in years?



17. Jayesh is twice as old as Vijay and half as old as

Suresh. If the sum of Suresh’s and Vijay’s ages is85 years, what is Jayesh’s age in years?

(1) 34 (2) 36 (3) 68

(4) Can’t say (5) None of these

18. Present age of Rahul is 8 years less than Ritu’spresent age. If 3 years ago Ritu’s age was x, which

of the following represents Rahul’s present age?

(1) x + 3 (2) x – 5 (3) x – 3 + 8

(4) x + 3 + 8 (5) None of these

19. The ratio of the present ages of a son and hisfather is 1 : 5 and that of his mother and father is4 : 5. After 2 years the ratio of the age of the son

to that of his mother becomes 3 : 10. What is thepresent age of the father?



20. 20 years ago my age was 3

1 of what it is now. What

is my present age?



21. 15 years hence, A will be twice as old as B, but five

years ago A was 4 times as old as B. Find the

difference of their present ages.



22. A says to B “I am twice as old as you were when

I was as old as you are.” The sum of their ages is

63 years. Find the difference of their ages.



23. A is as much younger than B as he is older than

C. If the sum of B’s and C’s ages is 40 years. Find

the age of A.



24. A is twice as old as B was two years ago. If the

difference in their ages be 2 years, find A’s age.



25. In ten years, A will be twice as old as B was 10

years ago. If A is now 9 years older than B. Find

the present age of B.



26. Five years ago, the total of the ages of father and

son was 60 years. The ratio of their present ages

is 4 : 1. Then the present age of the father is

_______.



27. Two years ago, A was four times as old as B. 8

years hence, A’s age will exceed B’s age by 12

years. The ratio of the present ages of A and B

is______.

(1) 3 : 1 (2) 4 : 1 (3) 3 : 2

(4) 5 : 1 (5) None of these

28. A is years younger to B. C is two years older than

A. Then B’s relation to C is ______.

(1) two years older (2) one year younger

(3) one year older (4) two years younger

(5) None of these

29. If C’s age is twice the average age of A, B and C.

A’s age is one half the average of A, B and C. If

B is 5 years old, the average age of A, B and C is

_____.



30. A father’s age is three times the sum of the ages of

his two children, but 20 years hence his age will be

equal to the sum of their ages. Then the father’s

age is ______.



31. A father’s age is four times as much as the sum of

the ages of his three children but 6 years hence his

age will be only double the sum of their ages. Then

the age of the father is ________.



32. The respective ages of a father and his son are 41

and 16 years. In how many years will the father be

twice as old as his son?



33. The total ages of A, B and C at present is 90 years.

Ten years ago the ratio of their ages was 1 : 2 : 3.

Then the present age of B is ______.



34. The sum of the ages of a father and son is 45 years.

Five years ago, the product of their ages was four

times the father’s age at that time, then the present

ages of the father and son respectively are ____

and _____ years.

(1) 39, 6 (2) 35, 10 (3) 36, 9

(4) 40, 10 (5) None of these

35. The ratio of the father’s and son’s age is 7 : 4. The

product of their ages is 1008. The ratio of their ages

after 6 years hence will be ______.

(1) 5 : 3 (2) 8 : 5 (3) 7 : 4


36. Ratio of Sujeet’s age to Sameer’s age is 4 : 3. Sujeet

will be 26 years old after 6 years. Then the present

age of Sameer is _____.



37. If 6 years are subtracted from the present age of

Randheer and the remainder is divided by 18, then

the present age of his grandson Anup is obtained.

If Anup is 2 years younger to Mahesh whose age

is 5 years, then what is the age of Randheer?



38. The ratio of Vimal’s age and Arun’s age 3 : 5 and

sum of their ages is 80 years. The ratio of their ages

after 10 years will be _____.

(1) 2 : 3 (2) 1 : 2 (3) 3 : 2


39. Shyam is 3 times as old as his son. After 10 years,

the sum of their ages will be 76 years. The

respective ages of the father and the son are ____

and ____ years.

(1) 42, 14 (2) 39, 13 (3) 45, 15

(4) 47, 17 (5) None of these

40. A is 20 years older than B. He is also 6 times as old

as B. Then the respective ages of A and B are____

and _____ years.

(1) 24, 4 (2) 42, 7 (3) 30, 5

(4) 35, 5 (5) None of these

41. The ages of A, B and C together total 185 years. Bis twice as old as A and C is 17 years older thanA. Then the respective ages of A, B and C are–

(1) 40, 86 and 59 years (2) 42, 84 and 59years

(3) 40, 80 and 65 years (4) 42, 88 and 58years

(5) None of these

42. The ratio of Vimal’s age and Arun’s age is 3 : 5 andthe sum of their ages is 80 years. Find the ratio oftheir ages.

(i) after 10 years and (ii) 10 years ago

(1) 2 : 3, 2 : 1 (2) 2 : 3, 1 : 2

(3) 3 : 2, 1 : 2 (4) 3 : 2, 2 : 1

(5) None of these

43. In 10 years, A will be twice as old as B was 10 yearsago. If A is now 9 years older than B, the presentage of A is :



44. Kamla got married 6 years ago. Today her age is

4

11 times her age at the time of marriage. His son’ss

age is (1/10) times her age. The age of her son is:



45. Sachin was twice as old as Ajay 10 years back.How old is Ajay today if Sachin will be 40 years old10 years hence?



ANSWERS9. (1)10. (3)11. (4)12. (4)13. (2)14. (2)15. (4)16. (1)

1. (3)2. (4)3. (3)4. (2)5. (1)6. (2)7. (1)8. (4)

17. (1)18. (2)19. (3)20. (1)21. (3)22. (3)23. (1)24. (3)

25. (1)26. (3)27. (1)28. (3)29. (1)30. (1)31. (3)32. (2)

33. (1)34. (3)35. (2)36. (2)37. (4)38. (1)39. (1)40. (1)

41. (2)42. (2)43. (4)44. (2)45. (1)

SURDS AND INDICES

1. The value of 1 3

125 is:

(1) 2 (2) 4

(3) 5 (4) 8

(5) None of these

2. The value of -4 5

1024

243

is:

(1)8116

(2)81

256

(3)49

(4)94

(5) None of these

3. If I6 × 8n+2 = 2m, then m is equal to :

(1) n + 8 (2) 2n + 8

(3) 3n + 2 (4) 3n + 10

(5) None of these

4. The value of x3 512 = 2 , then x is equal to:

(1) 5 (2) 4

(3)35

(4) 3

(5) None of these

5. The value of x satisfying 24 + x = 4 is:

(1) 125 (2) 144

(3) 120 (4)

(5) None of these

6. If 5X+3 = (25)3x-4, then the value of x is:

(1)5

11(2)

11

5

(3)11

3(4)

13

5

(5) None of these

7. If 34x-2 = 729, then the value of x is:

(1) 1 (2) 1.5

(3) 2 (4)

(5) None of these

8. If 22x-1 = x -3

1

8, then n the value of x is:

(1) 3 (2) 2

(3) 0 (4) -2

(5) None of these

9. If

x 1 x 3a b

b a

, then n the value of x is:

(1) 1 (2)1

2

(3)7

2(4) 3

10. If 2X × 81/5 = 21/5, then x is equal to:

(1)1

5(2)

1

5

(3)2

5(4)

2

5

(5) None of these

11. If 2X - 2X-1 = 4 , then The value of x3 is:

(1) 27 (2) 4

(3) 1 (4) 256

(5) None of these

12. The value of x for which 2X+4 - 2X-1 = 3, is:

(1) 0 (2) -2

(3) 2 (4) 1

(5) None of these

13. The value of x for which 42x -22x = 12 holds, is:

(1) 2 (2) 3

(3) 1 (4) -1

(5) None of these

14. If 9X - 10.3x + 9 = 0 then x is equal to:

(1) 2 or 0 (2) 1 or 3

(3) 1 or 9 (4) 1 or -2

(5) None of these

15. The value of 23 12 6x x is:

(1) x7 (2) x6

(3) x8 (4) x10

(5) None of these

16. If 2X-1 + 2X+1 = 320, then value of x is:

(1) 6 (2) 8

(3) 5 (4) 7

(5) None of these

17. If

n 5 3

4

9 ×3 × (27)= 27

3×(81), then n equals:

(1) 0 (b) 2

(3) 3 (4) 4

(5) None of these

18. The value of (12+n) (2n-7)

5n

3 × 9

3is:

(1)1

3(2)

9

13

(3)1

9(4)

2

3

(5) None of these

19.

0 -1

-1 3 -1

3

(0.6) - (0.1)

3 3 1. + -

2 2 3

is equal to:

(1)3

2 (2)

1

2

(3)2

3(4)

3

2

(5) None of these

20. If

2n 2 n/2

3m 3

9 3 3 27 1

3 (2 ) 27

, then:

(l) m – n - 2 = 0 (2) m – n – l = 0

(3) m – n + l = 0 (4) m - n + 2 = 0

(5) None of these

21. The expression xa(b-c).

xb(c-a).

xc(a-b) simplifies

to:

(1) -1 (2) 0

(3) 1 (4) 2

22. If a = (1 - m), b = (m - n) and c = (n - 1), then theexpression (xa)n.(xb)1 .(xc)m in the simplified formis:

(1) 0 (2) x

(3) x - 1 (4) 1

(5) None of these

23. If 5 2 a 33 9 3 3 , then equals:

(1) 2 (2) 3

(3) 4 (4) 5

(5) None of these

24. If ax-3.ay+2 = a2.ax and ax.ay = a4, then:

(1) x = y = 0 (2) x = y = 1

(3) x > y (4) x < y

(5) None of these

25. If ax-2 (a2x+2 + a1-x) = a-3 (a9 +a2), then the value ofx is:

(1) 0

(2) a fraction

(3) a positive integer

(4) a negative integer

(5) None of these

26. If ax = by = cz and b2 = ac, then y equals?

(1)xz

x + z(2)

xz

2(x - z)

(3)xz

2(z - x) (4)2xz

(x + z)

(5) None of these

27. The value of

(a b) (b c) (c a )a b c

b c a

x x x

x x x

is:

(1) 0 (2) xabc

(3) 2 (4) 1

(5) None of these

28. The expression

(b a) (c a) (a b) (c b) (b c) (a c)

1 1 1

1 x x 1 x x 1 x x

is equal to :

(1) xa-b-c (2) 1

(3) 0 (3) 2

(5) None of these

29. If x = ya, y = zb and z = xc, then the value of abc is

(1) 4 (2) 3

(3) 2 (4) 1

(5) None of these

30. If 2X =3y =6-z, then 1 1 1

+ + x y z

is equal to:

(1) 0 (2) 1

(3)3

2(4)

1

2

(5) None of these

31. If ax = b, by = c and cz = a, then the value of xyz is:

(1) 0 (2) 1

(3)1

3(4)

1

2

(5) None of these

32. If 2X = 4y = 8Z and 1 1 1

42x 4y 4z

, then the

value of x is:

(1)7

16(2)

7

32

(3)7

48(4)

3

4

(5) None of these

33. If n m m n

1 1

1 a 1 a

is equal to:

(1) 0 (2) 1

(3)1

2(4) am+n

(5) None of these

34. If m = ax, n = ay and mynx = a2/z then, the value ofxyz is:

(1) 1 (2) 2

(3) 3 (4) 4

(5) None of these

35. The simplified form of

7/2 3

5/2

3 . y

3 . y is:

(1)

2x

y(2)

3

2

x

y

(3)

6

3

x

y(4) xy

(5) None of these

36. The solution of :-

(a) x x xx (x x ) (b) 33x+5×33x+3= 9

(c) 4X + 2 + 22x + 1 - 36 = 0 are respectively:

(1)9 1

, 1&4 2 (2)

9 1, & -1

4 2

(3)1 9

1, ,2 4

(4)9 1

1, &4 2

(5) None of these

37. Consider the following statements:

(1) if ax = b, by = c, cz = a, then xyz = o

(2) if p = ax, q = ay, (pyqx) = az, then xyz = 1

(3) if xa = yb = zc & ab + bc + ca= 0, then xyz =1.

Of these statements

(1) 1 & 2 are correct

(2) 2 & 3 are correct

(3) Only 1 is correct

(4) 1 & 3 correct

38. Which of the following is the correct statement?

(1) 2 is bigger than 3 3

(2) 2 is less then 3 3

(3) 2 and 3 are equal

(4) 3 2 is equal to 4 3

(5) None of these

39.

n 4 n3

n 3

3 2(2 )2

2(2 )

is equat to:

(1) n 12 (2)n 1 1

28

(3)n9

28 (4) 1

(5) None of these

40. If pqr = 1, then

1 1 1

1 1 1

1 p q 1 q r 1 r p

is equal to:

(1) 0 (2)1

pq

(3) pq (4) 1

(5) None of these

41. The value of

(b c a ) (c a b) (a b c)b c a

c a b

x x x

x x x

is:

(1) xabc (2) xa+b+c

(3) xab+bc+ca (4) 1

(5) None of these

42. The value of

1/ab 1/bc 1/caa b c

b c a

x x x. .

x x x

is:

(1) 1 (b) 0

(3) x1/abc (4) x1/(ab+bc+ca)

(5) None of these

43. If x, y, z are positive real numbers, the value of

1 1 1x y. y .z z x is:

(1) xyz (2)1

xyz

(3) 1 (4) xyz

(5) None of these

44. 2 , 3 4 and 4 6 is ascending order are:

(1) 3 42, 4, 6 (2) 34 6, 4, 2

(3) 342, 6, 4 (4) 34 6, 2, 4

(5) None of these

ANSWERS

9. 510. 411. 112. 513. 314. 315. 116. 4

1. 52. 23. 44. 45. 26. 27. 38. 2

17. 318. 319. 120. 521. 322. 423. 424. 4

25. 226. 427. 428. 229. 430. 131. 232. 1

33. 234. 135. 436. 237. 238. 239. 440. 4

41. 442. 143. 344. 3

AGES & NUMBERS

1. The difference between the present ages of Arunand Deepak is 14 years. Seven years ago, the ratioof their ages was 5 : 7 respectively. What isDeepak’s present age?



(5) None of these

2. The ages of Sachin and Jatin are in the ratio 8 :11. After 10 years, the ratio of their ages will be13 : 16. What is the difference between their ages?



(5) None of these

3. One year ago, the ratio of the ages of Sanika andGouri was 3 : 4 respectively. One year hence, theratio of their ages will be 10 : 13 respectively. Whatis Sanika’s present age?

(1) 18 years

(2) 20 years

(3) 26 years


(5) None of these

4. The present age of Mr. Sanyal is 3 times thepresent age of his son. Six years hence, the ratioof their ages will be 5 : 2. What is the present ageof Mr. Sanyal?



(5) None of these

5. The ages of Samir and Tanuj are in the ratio of8 : 15 years respectively. After 9 years, the ratioof their ages will be 11 : 18. What is the differencebetween their ages?



(5) None of these

6. The present age of A, B and C are in the ratio of8 : 14 : 22 respectively. The present ages of B, C

and D are in the ratio 21 : 33 : 44 respectively.Which of the following respectively the ratio ofthe present ages of A, B, C and D respectively?

(1) 12 : 21 : 33 : 44

(2) 12 : 22 : 31 : 44

(3) 12 : 21 : 36 : 44


(5) None of these

7. Present ages of Seema and Naresh are in the ratioof 5 : 7. Five years hence the ratio of their agesbecomes 3 : 4 respectively. What is Naresh’spresent age in years?

(1) 25

(2) 40

(3) 30


(5) None of these

8. The average age of 11 players of a cricket teamis increased by 2 months when two of them aged18 years and 20 years are replaced by two newplayers. The average age of the new players is?

(1) 19 years 1 month

(2) 19 years 6 months



(5) None of these

9. The average age of 30 boys in a class is 15 years.One boy aged 20 years left the class, but two newboys came in his place whose ages differ by 5years. If the average age of all the boys now inthe class still remains 15 years, then the age ofthe younger newcomer is?



(5) None of these

10. The age of the present ages of two brothers is 1 :2 and 5 years back, the ratio was 1 : 3. What will

be ratio of their ages after 5 years?

(1) 1 : 4 (2) 2 : 3

(3) 3 : 5 (4) 5 : 6

(5) None of these

11. Six years ago, Seema was half of that of Rupa inage. Four years hence the respective ratio of theirages would be 3 : 5. How old is Rupa at present?

(1) 32 years

(2) 16 years

(3) None of these


(5) None of these

12. Father is aged three times more than his son Ramu.After 8 years, he would be 2.5 times of Ramu’sage. After further 8 years, how many times wouldbe of Ramu’s age?

(1) 2 times (2) 1

22

times

(3)3

24

times (4) 3 times

(5) None of these

13. The present age of a father is 3 years more thanthree times the age of his son. Three years hence,father’s age will be 10 years more than twice theage of the son. The father’s present age is?



(5) None of these

14. My grandfather was 8 times older than me 16years ago. He would be 3 times my age 8 yearsfrom now. Eight years ago, what was the ratio ofmy age to that of my grandfather?

(1) 3 : 8 (2) 1 : 5

(3) 1 : 2 (4) 2 : 1

(5) None of these

15. In a class, the average age of 40 boys is 13.5 yearsand that of the girls is 13 years. The average ageof the whole class is 13.4 years. Find the numberof girls in the class?

(1) 20 (2) 13

(3) 11 (4) 10

(5) None of these

16. The average age of 8 men is increased by 2 yearswhen two of them whose age are 21 and 23 yearsare replaced by two new men. The average ageof the two new men is?



(5) None of these

17. In a school with 600 students, the average age ofthe boys is 12 years and that of girls is 11 years. Ifthe average age of the school is 11 years and 9months, then the numbers of girls in the school is

(1) 450 (2) 250

(3) 150 (4) 350

(5) None of these

18. A father said to his son “I was as old as you are atpresent at the time of your birth”. If the father’sage is 38 years now, the son’s age five years backwas



(5) None of these

19. The average age of a husband and wife was 23years at the time of their marriage. After 5 yearsthey have a one year old child. The average ageof the family now is?

(1) 28.5 years (2) 19 years

(3) 29.9 years (4) 23 years

(5) None of these

20. Renu’s mother was three times as old as Renu 5years ago. After 5 years, she will be twice as oldas Renu.Renu’s present age in years is?

(1) 35 (2) 10

(3) 20 (4) 15

(5) None of these

21. The average age of a class of 20 students is 20years. If the teacher’s age is also included, thenthe average age increases by one year. Theteacher’s age is?



(5) None of these

22. The average of x and y is 18. If z is equal to 9, theaverage of x, y and z is?

(1) 3 (2) 9

(3) 12 (4) 15

(5) None of these

23. The average age of 12 players of a team is 25years. If the captain’s age is included, then theaverage age increases by 1 year. The age of thecaptain is?



(5) None of these

24. The average age of 24 students and the classteacher is 16 years. If the class teacher’s age isexcluded, then the average reduces by one year.What is the age of the class teacher?

(1) 50 years

(2) 45 years

(3) 40 years

(4) Data inadequate

(5) None of these

25. If the age of P and R are added to twice the ageof Q, the total becomes 59. If the ages of Q and Radded to thrice the age of P, the total becomes 68.And, if the age of P is added to thrice the age of Qand twice the age of R, the total becomes 108.What is the age of P?



(5) None of these

26. The product of the age of Harish and Seema is240. If twice the age of Seema is more thanHarish’s age by 4 years, what is Seema’s age inyears?

(1) 12 (2) 20

(3) 10 (4) 14

(5) None of these

27. The average age of 34 boys in a class is 17 years.If the teacher’s age is included the average ageof the boys and the teacher’s becomes 18. Whatis the teacher’s age?



(5) None of these

28. Q is as much younger than R as he is older than

T. If the sum of the ages of R and T is 50 years,then what is definitely the difference between Rand Q’s ages?

(1) 25 years

(2) 1 year

(3) 2 years

(4) Data inadequate

(5) None of these

29. A man’s age is 150% of what it was 10 years ago,but 75% of what it will be after 10 years. What ishis present age?



(5) None of these

30. A says to B “I am twice as old as you were whenI was as old as you are”. The sum of their ages is63 years. Find the difference of their ages?



(5) None of these

31. Sachin is younger than Rahul by 4 years. If theirages are in the respective ratio of 7 : 9, then howold is Sachin?

(1) 27 years (2) 24.5 years


(5) None of these

32. The ratio between the present ages of P and Q is6 : 7. If Q is 4 years older than P, then what willbe the ratio of the ages of P and Q after 4 years?

(1) 8 : 5 (2) 7 : 8

(3) 9 : 7 (4) 2 : 3

(5) None of these

33. The atio between the present ages of P and Q is5 : 7 respectively. If the difference between Q’spresent age and P’s age after 6 years is 2, what isthe total P’s and Q’s present ages?



(5) None of these

34. At present, the ratio between the ages of Arunand Deepak is 4 : 3. After 6 years, Arun’s age willbe 26 years. What is the age of Deepak at present?



(5) None of these

35. Present ages of X and Y are in the ratio 5 : 6respectively. Seven years hence this ratio willbecome 6 : 7 respectively. What is the X’s presentage in years?



(5) None of these

36. Present ages of Sameer and Anand are in the ratioof 5 : 4 respectively. Three years hence, the ratioof their ages will become 11 : 9 respectively. Whatis Anand’s present age in years?



(5) None of these

37. Six years ago, the ratio of the ages of Kunal andSagar was 6 : 5. Four years hence the ratio oftheir ages will be 11 : 10. What is Sagar’s age atpresent?



(5) None of these

38. The total of the ages of Jayant, Prem and Saranshis 93 years. Ten years ago, the ratio of their ageswas 2 : 3 : 4. What is the present age of Saransh?



(5) None of these

39. The ratio of the present ages of two brothers is1:2 and 5 years back, the ratio was 1 : 3. Whatwill be the ratio of their ages after 5 years?

(1) 3 : 5 (2) 4 : 5

(3) 5 : 7 (4) 8 : 3

(5) None of these

40. Hitesh is 40 years old and Ronnie is 60 years old.How many years ago was the ratio of their ages3 : 5?



(5) None of these

41. The ratio of the father’s ages to his son’s age is7 : 3. The product of their ages is 756. The ratio oftheir ages after 6 years will be?

(1) 3 : 2 (2) 2 : 1

(3) 4 : 3 (4) 4 : 5

(5) None of these

42. The present ages of three persons are inproportions 4 : 7 : 9. Eight years ago, the sum oftheir ages was 56. Find their present ages?

(1) 10, 15, 20 (2) 16, 28, 36

(3) 25, 30, 35 (4) 8, 16, 32

(5) None of these

43. The ratio of the ages of man and his wife is 4 : 3.After 4 years, this ratio will be 9 : 7. If at the timeof marriage, the ratio was 5 : 3 , then how manyyears ago were they married?



(5) None of these

44. The ratio between the school ages of Neelam andShaan is 5 : 6 respectively. If the ratio betweenthe one-third age of Neelam and hal of shaan’sage is 5 : 9, then what is the school age of Shaan?



(5) None of these

45. The ratio between the present ages of A and B is5 : 3 respectively. The ratio between A’s age 4years ago and B’s age 4 years hence is 1 : 1.What is the ratio between A’s age 4 years henceand B’s age 4 years ago?

(1) 4 : 1 (2) 3 : 1

(3) 3 : 2 (4) 2 : 3

(5) None of these

46. Ten years ago, A was half of B in age. If the ratioof their present ages is 3 : 4, what will be the totalof their present ages?



(5) None of these

47. A is two years older than B who is twice as old asC. If the total of the ages of A, B and C be 27,then how old is B?



(5) None of these

48. A man is 24 years older than his son. In two years,his age will be twice the age of his son. The presentage of the son is?



(5) None of these

49. Eighteen years ago, a father was three times asold as his son. Now the father is only twice as oldhis son. Then the sum of the present ages of theson and the father is?

(1) 108 years (2) 110 years

(3) 112 years (4) 115 years

(5) None of these

50. A person’s present age is two-fifth of the age ofhis mother. After 8 years, he will be one-half ofthe age of his mother. How old is the mother atpresent?



(5) None of these

51. Tanya’s grandfather was 8 times older to her 16years ago. He would be 3 times of her age 8 yearsfrom now. Eight years ago, what was the ratio ofTanya’s age to that of her grandfather?

(1) 11 : 53 (2) 12 : 54

(3) 11 : 56 (4) 11 : 43

(5) None of these

52. The age of father 10 years ago was thrice the ageof his son. Ten years hence, father’s age will betwice that of his son. The ratio of their presentages is?

(1) 7 : 3 (2) 8 : 3

(3) 5 : 3 (4) 7 : 4

(5) None of these

53. Four years ago, the father’s age was three timesthe age of his son. The total of the ages of hisfather and the son after four years will be 64 years.What is the father’s age at present?



(5) None of these

54. One year ago, Promila was four times as old herdaughter Sakshi. Six years hence, Promila’s agewill exceed her daughter’s age by 9 years. Theratio of the present ages of Promila and herdaughter is

(1) 12 : 3 (2) 14 : 5

(3) 13 : 4 (4) 15 : 2

(5) None of these

55. The sum of the present ages of a father and hisson is 60 years. Six years ago, father’s age wasfive times the age of the son. After 6 years, theson’s age will be?



(5) None of these

56. The total age of A and B is 12 years more thanthe total age of B and C. C is how many yearsyounger than A?



(5) None of these

57. Q is as much younger than R as he is older thanT. If the sum of the ages of R and T is 50 years,what is definitely the difference between R andQ’s age?



(5) None of these

58. The age of a man is three times the sum of theages of his two sons. Five years hence, his agewill be double of the sum of the age of his sons.The father’s present age is?



(5) None of these

59. The sum of the ages of a father and his son is 45years. Five years ago, the product of their ageswas 34. The ages of the son and father arerespectively?

(1) 43, 8 (2) 39, 6

(3) 44, 9 (4) 45, 10

(5) None of these

60. Rajan got married 8 years ago. His present age is6/5 times his age at the time of his marriage.Rajan’s sister was 10 years younger to him at thetime of his marriage. The age of Rajan’s sister is?



(5) None of these

61. The sum of the age of 5 children bom at theintervals of 3 years each is 50 years. What is theage of the youngest child?



(5) None of these

62. Father is aged three times more than his son Ronit.After 8 years, he would be two and a half timesof Ronit’s age. After further 8 years, how manytimes would he be of Ronit’s age?

(1) 2 (2) 3

(3) 4 (4) 5

(5) None of these

63. The difference between the ages of two personsis 10 years. Fifteen years ago, the elder one wastwice as old as the younger one. The present ageof the elder person is?



(5) None of these

64. A father said to his son, “I was as old as you areat present at the time of your birth.” If the father’sage is 38 years now, the son’s age five years backwas?



(5) None of these

65. In 10 years, A will be twice as old as B was 10years ago. If A is now 9 years older than B, thepresent age of B is?



(5) None of these

66. The difference between a number and its three-fifth is 50. What is the number?

(1) 10 (2) 12

(3) 13 (4) 14

(5) None of these

67. If a number is decreased by 4 and divided by 6,the result is 8. What would be the result if 2 issubtracted from the number and then it is dividedby 5?

(1) 6 (2) 5

(3) 7 (4) 8

(5) None of these

68. If one-third of one fourth of a number is 15, thenthree-tenth of that number is

(1) 45 (2) 64

(3) 54 (4) 50

(5) None of these

69. A number is doubled and 9 is added. If the resultantis trebled, it becomes 75. What is that number?

(1) 7 (2) 8

(3) 9 (4) 5

(5) None of these

70. Three-fourth of a number is 60 more than it’s one-third. The number is

(1) 122 (2) 144

(3) 111 (4) 169

(5) None of these

71. When 24 is subtracted from a number, it reducesto its four-seventh. What is the sum of the digitsof that number?

(1) 12 (2) 11

(3) 13 (4) 14

(5) None of these

72. Find the number which when multiplied by 15 isincreased by 196.

(1) 14 (2) 15

(3) 16 (4) 17

(5) None of these

73. If a number, when divided by 4, is reduced by 21,the number is

(1) 29 (2) 28

(3) 30 (4) 35

(5) None of these

74. A number whose fifth part is increased by 4 isequal to its fourth part diminished by 10, is

(1) 281 (2) 280

(3) 270 (4) 275

(5) None of these

75. The difference of two numbers is 20% of the largernumber. If the smaller number is 12, the largerone is

(1) 15 (2) 16

(3) 17 (4) 18

(5) None of these

76. If one-seventh of a number exceeds its eleventhpart by 100, then the number is

(1) 1925 (2) 1825

(3) 1625 (4) 1800

(5) None of these

77. If doubling a number and adding 20 to the resultgives the same number as multiplying the numberby 8 and taking away 4 from the product, thenumber is

(1) 5 (2) 4

(3) 6 (4) 7

(5) None of these

ANSWERS

15. 516. 417. 318. 519. 220. 421. 322. 423. 224. 325. 426. 127. 528. 4

1. 52. 43. 14. 35. 46. 17. 18. 39. 210. 311. 512. 513. 114. 5

29. 230. 331. 532. 233. 434. 235. 136. 237. 138. 139. 140. 141. 242. 2

43. 244. 545. 246. 447. 148. 249. 150. 251. 152. 153. 454. 355. 456. 1

57. 158. 159. 260. 461. 162. 563. 164. 465. 266. 567. 568. 369. 270. 2

71. 272. 173. 274. 275. 176. 177. 278. 279. 480. 1

78. If 50 is subtracted from two-third of a number,the result is equal to sum of 40 and one-fourth ofthat number. What is the number?

(1) 217 (2) 216

(3) 219 (4) 220

(5) None of these

79. If the sum of a number and its square is 182, thenwhat is the number?

(1) 15 (2) 17

(3) 18 (4) 13

(5) None of these

80. Twenty times a positive number is less than itssquare by 96. What is the integer?

(1) 24 (2) 25

(3) 27 (4) 28

(5) None of these

PERCENTAGE

1. If salary of A is 20% more than salary of B,then salary of B is what % less than A?

(1)2

16 %3

(2) 20%

(3) 25% (4)4

15 %5

(5) None of these

2. If the sides of a square are increased by 25%,then what will be the effect on its area?

(1) 20% (2) 10%

(3) 21% (4) 25%

(5) None of these

3. If the sides of a square field are increased by

133 %

3, then what will be the effect on its

perimeter?

(1) 43% (2)1

33 %3

(3) 62% (4) 41%

(5) None of these

4. If the sides of a cube are increased by 30%,then what will be the effect on its volume?

(1) 69% (2) 119.7%

(3) 26% (4) 52%

(5) None of these

5. If the length of a rectangle is increased by 25%and breadth is increased by 20%, then whatwill be the effect on its area?

(1) 45% (2) 50%

(3) 44% (4) 42%

(5) None of these

6. If the length of rectangle is increased by 20%while breadth is decreased by 10%, then whatwill be the effect on its area?

(1) 10% (2) 12%(3) 8% (4) 9%

(5) None of these

7. If the length of rectangle is increased by 40%,then by what % breadth shall be decreasedin order to have the original area?

(1)4

28 %7

(2) 60%

(3) 40% (4)5

32 %7

(5) None of these

8. In a competitive examination in State A, 6%candidates got selected from the totalappeared candidates. State B had an equalnumber of candidates appeared and 7%candidates go selected with 80 morecandidates got selected than A. What was thenumber of candidates appeared from eachstate?

(1) 8000

(2) 8400

(3) 7680


(5) None of these

9. The price of a car is Rs. 3,25,000. It wasinsured to 85% of its price. The car wasdamaged completely in accident and theinsurance company paid 90% of theinsurance. What was the difference betweenthe price of the car and the amount received?

(1) Rs. 32,500 (2) Rs. 28, 750

(3) Rs. 76,375 (4) Rs. 81,250

(5) None of these

10. Sameer spends 24% of his monthly incomeon food and 15% on the education of hischildren. Of the remaining salary, he spends25% on entertainment and 20% onconveyance. He is now left with Rs. 10,736.What is the monthly income of Sameer?

(1) Rs. 27,600 (2) Rs. 28,000(3) Rs. 31,200 (4) Rs. 32,000

(5) None of these

11. 405 sweets are distributed equal amongchildren in such a way that the number ofsweet received by each child is 20% of thetotal number of children. How many sweetsdid each child receive?

(1) 50 (2) 42

(3) 45 (4) 40

(5) None of these

12. In a recent survey, 40% houses contained twoor more people. If in houses containing onlyone person, 25% were having only a male,then what is the percentage of all houses,which contains exactly one female and nomales?

(1) 15%

(2) 40%

(3) 75%


(5) None of these

13. The price of a D.V.D. is decreased by 25%as a result of which the sale increased by20%. What will be the effect on total revenueof shop?

(1) No effect (2) 5% increase

(3) 10% decrease (4) 5% increase

(5) None of these

14. If the tax on a commodity is increased by 25%as a result it’s sale decreases by 20%, thenwhat will be the effect on revenue?

(1) No effect (2) 5% decrease

(3) 10% increase (4) 5% increase

(5) None of these

15. The total population of a village is 5000. Thenumber of males and females increases by10%, and 15% respectively and consequentlythe population of the village become 5600.What was the number of males in the village?

(1) 2000 (2) 2500

(3) 3000 (4) 4000

(5) None of these

16. Milk contains 5% water. What quantity of puremilk should be added to 10 liters of milk to

reduce this to 2%?

(1) 10 lit (2) 15 lit

(3) 25 lit (4) 12 lit

(5) None of these

17. In an examination, the percentage of studentsqualified to the number of students appearedfrom school A is 70%. In school B, the numberof students appeared is 20% more than thestudent appeared from school B is 50% morethan the students appeared from school A.What is the percentage of students qualifiedto the number of students appeared fromschool B?

(1) 30% (2) 70%

(3) 87.5% (4) 78.5%

(5) None of these

18. A reduction of 20% in the price of sugar enablea person to buy 2 kg more for Rs. 250. Whatis the reduced price?

(1) Rs. 31.25 (2) Rs. 20

(3) Rs. 25 (4) Rs. 21.75

(5) None of these

19. Naresh’s monthly income is 30% more thanthat of Raghu. Raghu’s monthly income is20% less then than of Vishal. If the differencebetween the monthly income of Naresh andVishal is Rs. 800, what is the monthly incomeof Raghu?

(1) Rs. 16000

(2) Rs. 20000

(3) Rs. 12000

(4) Data Inadequate

(5) None of these

20. In a class of 40 students and 8 teachers, eachgot sweets that are 20% of the total numberof students and each teacher got sweets thanare 25% of the total number of students. Howmany sweets were there?

(1) 420 (2) 400

(3) 320 (4) 360

(5) None of these

21. Ms. Deepti Jain invests 11% of her monthlysalary, i.e. Rs. 5,236 in Fixed Deposits. Latershe invests 19% of her monthly salary on Life

Insurance Policies, also she invests another7% of her monthly salary on Mutual Funds.What is the total annual amount invested byMs. Deepti Jain?

(1) Rs. 2,11,344 (2) Rs. 17,612

(3) Rs. 1,05.672 (4) Rs. 35,324

(5) None of these

22. In a college election fought between twocandidates, one candidate got 55% of the totalvalid votes. 15% of the votes were invalid. Ifthe total votes were 15,200, then what is thenumber of valid votes the other candidate got?

(1) 7106 (2) 6840

(3) 8360 (4) 5814

(5) None of these

23. In a test consisting of 80 questions carryingone mark each, Arpita answers 65% of thefirst 40 questions correctly. What percent ofthe other 40 questions does she need toanswer correctly to score 75% on the entiretest?

(1) 60% (2) 80%

(3) 75% (4) 40%

(5) None of these

24. Mangesh spends 17% of his monthly incomeon travelling. He spends 25% of his monthlyincome on household expense and 36% ofhis monthly income on medical expenses. Hehas remaining amount of Rs. 10,032 as cashwith him. What is Mangesh’s annual income?

(1) Rs. 5, 50, 300

(2) Rs. 5, 36, 500

(3) Rs. 5,47, 200


(5) None of these

25. Prema decided to donate 15% of her salaryto an orphanage. On the day of donation, shechanged her mind and donated Rs. 1896,which was 80% of what she had decidedearlier. How much is Prena’s salary?

(1) Rs. 18,500

(2) Rs. 10,250

(3) Rs. 15,800


(5) None of these

26. Two number are 20% and 50% more than thethird number, find first number is what percentof the second?

(1) 80% (2) 100%

(3) 70% (4) 60%

(5) None of these

27. Two numbers are such that the first is 20%less than and the second is 20% more thanthe third. The first number is what percent ofthe second?

(1)2

77 %3

(2)2

66 %3

(3)2

75 %3

(4)2

64 %3

(5) None of these

28. Two number are such that they are 40% and50% of the third number. First number aspercentage of the second is:

(1) 70% (2) 100%

(3) 80% (4) 60%

(5) None of these

29. If the price of sugar be increased by 20%,then how much percent a lady must reducethe consumption of sugar so as not toincrease her expenditure?

(1) 16% (2) 15%

(3) 19% (4) 20%

(5) None of these

30. The price of onions is now reduced by 25%.What percent of its consumption should thefamily increase so as not to reduce theexpenditure on this itesm?

(1)1

33 %3

(2)1

30 %3

(3)1

32 %3

(4)1

33 %3

(5) None of these

31. The salary of an executive is first increasedby 20% and later it was reduced by 20%. The

net change, if any, in his original salary is:

(1) 4% decrease (2) 5% increase

(3) 3% increase (4) No change

(5) None of these

32. When the price on a ticket is increased by10%, the sale on ticket is reduced by 5%. Findthe change in the collection?

(1) 5% decrease

(2) 4.5% decrease

(3) 4.5% increase

(4) 3% increase

(5) None of these

33. A student has to secure 45% marks, to qualifyfor interview, in a written examination. If heget 79 mark and fails by 56 marks, then findthe maximum marks set to qualify forinterview.

(1) 350 (2) 300

(3) 400 (4) 450

(5) None of these

34. Atul scored 30% marks in an examination andfailed by 40 marks where as his friend Sunil42% marks gets 32 marks more than theminimum required marks for the examination.The maximum marks for the examination.

(1) 600 (2) 700

(3) 800 (4) 900

(5) None of these

35. A candidate who gets 20% marks in anexamination fails by 30 marks. Anothercandidate who gets 32% marks in the sameexamination gets 42 marks more than arenecessary for passing the examination. Whatis the pass percentage of marks?

(1) 30% (2) 60%

(3) 25% (4) 40%

(5) None of these

36. In an examination, 23% of the candidatesfailed in civics: 29% failed in social studieswhere as 11% failed in both. Find the passpercentage who passed in both subjects.

(1) 30% (2) 59%

(3) 58% (4) 57%

(5) None of these

37. In an examination, 30% of the candidatesfailed in History and 27% failed in Geographywhere as 15% failed in both the subjects. Findthe pass percentage of those passing in bothsubjects.

(1) 50% (2) 55%

(3) 58% (4) 57%

(5) None of these

38. In an examination, 78% of the candidatespassed in English, 67% passed inMathematics and 10% failed in English andMathematics both. Find the pass percentageof those who passed in both subjects.

(1) 50% (2) 55%

(3) 58% (4) 57%

(5) None of these

39. In an examination in which full marks were2500. A got 10% less than B, B got 25% lessthan C and C got 20% less than D. If A got540, then what percentage of the full markswas obtained by D?

(1) 35% (2) 45%

(3) 42% (4) 40%

(5) None of these

40. In an examination A got 10% less than B, Bgets 25% more than C, and C gets 20% lessthan D. If A got 360 marks, then the numberof marks obtained by D is:

(1) 400 (2) 500

(3) 600 (4) 700

(5) None of these

41. In an election where there are two candidatesonly, the candidate who gets 57 percent ofthe votes is declared elected by 4200 votes.The number of votes recorded is

(1) 40,000 (2) 50,000

(3) 30,000 (4) 35,000

(5) None of these

42. Three friends x, y, z whose salary togetheramount to Rs. 72000, spend 80%, 85% and75% of their salaries respectively. If theirsavings are in the ratio as 8 : 9 : 20, then find

their respective salaries.

(1) Rs. 16000, Rs. 24000 and Rs. 32000

(2) Rs. 14000, Rs. 22000 and Rs. 30,000(3) Rs. 18000, Rs. 26000 and Rs. 34000

(4) Rs. 10000, Rs. 18000 and Rs. 26000

(5) None of these

43. In an examination 27% candidates failed inEnglish, 38% failed in Mathematics. If 19%failed in both the subjects, then the percentageof the candidates who pass in both subjectsis:

(1) 54% (2) 50%

(3) 52% (4) 48%

(5) None of these

44. In an examination, 70% candidates passedin English, 65% in Mathematics and 27% failedin both subjects and 248 candidates passedin both the subjects. The number of totalstudents appeared in the examination?

(1) 300 (2) 400

(3) 500 (4) 600

(5) None of these

45. In an examination 36% of marks is necessaryto pass and a student gets 200 marks andfails by 124 marks. The total marks is:

(1) 700 (2) 900

(3) 600 (4) 400

(5) None of these

46. In a number is 25% more than the other, thenhow much percent is the second number lessthan the first?

(1) 12.33% (2) 16.66%

(3) 16.33% (4) 20%

(5) None of these

47. If A’s earning is 20% less than that of B, thenhow much percent is B’s earning is more thanthat of A?

(1) 15.2% (2) 30%

(3) 25% (4) 28%

(5) None of these

48. Two numbers are 5% and 25% of a thirdnumber respectively. What percentage is the

first of the second?

(1) 42% (2) 16%

(3) 35% (4) 20

(5) None of these

49. The numbers are less than a third number by40% and 10% respectively. How muchpercent is the first number less than thesecond?

(1) 42% (2) 16%

(3) 35% (4) 20%

(5) None of these

50. In an examination, out of 1500 boys and 300girls, 70% of boys and 30% of girls havepassed. What is the percentage of studentsthat failed?

(1) 33% (2) 25.5%

(3) 30% (4) 20%

(5) None of these

51. Rajesh has to score 20% marks to pass in atest. If he gets 60 marks and fails by 40 marks,then find the total marks assigned for the test?

(1) 550 (2) 450

(3) 500 (4) 200

(5) None of these

52. In a rectangle, the length and the breadth areincreased by 20% and 30% respectively.What is the percentage increase in its area?

(1) 45% (2) 16%

(3) 15% (4) 56%

(5) None of these

53. The value of an article is Rs. 3450. Its valuesdecrease 5% during the first year, 10% duringthe second year and 20% during the third year.What is value of the article after 3 years?

(1) 1892 (2) 2500

(3) 1890.5 (4) 2359.8

(5) None of these

54. The price of an item is decreased by 30%. Inorder to get the original price, the new pricemust be increased by

(1) 33% (2) 35.7%

(3) 50% (4) 42.85%

(5) None of these

55. The length and breadth of a square areincreased by 20% and 25% respectively. Theare of the rectangle so formed exceeds thearea of the square by

(1) 50% (2) 18%(3) 35% (4) 40%

(5) None of these

56. In an examination, 15% and 30% studentsfailed in Biology and Hindi respectively while20% students failed in both the subjects. Ifthe number of students passing theexamination is

(1) 1250 (2) 1200

(3) 1600 (4) 2000

(5) None of these

57. Rohan spends 20% of his income inentertainment, 10% of the rest in his highereducation and 15% of the balance in payinghis telephone bills. After his expenditure, heis left with Rs. 7956. What is Rohan’sincome?

(1) 12560 (2) 14789

(3) 16600 (4) 20000

(5) None of these

58. Out of 140 pieces, 10% are defective and outof 100 pieces, 15% are defective. For all thepieces combined, what percent of the piecesare defective?

(1) 15% (2) 6.1%

(3) 12.08% (4) 12.05%

(5) None of these

59. a% of 2b is b% of

(1) 2a (2) a

(3) 0.5 (4) 3a

(5) None of these

60. An ant travels along the diagonal of a square.How much extra, in terms of percentage, itneeds to travel if it were to travel along thesides of the square?

(1) 55% (2) 41%

(3) 30% (4) 25%

(5) None of these

61. 10% of income of X is equal to 15% incomeof Y and a 20% income of Y is equal to 25%of the income of Z. If the income of Z is Rs.5000, then the total income of X, Y and Z is

(1) 20625 (2) 26500

(3) 21040 (4) 20550

(5) None of these

62. In a group of 40 men and 80 women, 30% ofthe men are less than 30 years old and 40%of the total persons are less than 30 years.What percentage of men are under 30 years?

(1) 35% (2) 61%

(3) 40% (4) 29%

(5) None of these

63. A reduction of 25% in the price of wheatenables a person to purchase 2.5 kg more ofRs. 120. What is the original price per kg ofwheat?

(1) 16 (2) 19

(3) 20 (4) 25

(5) None of these

64. A shopkeeper has 5% of the total pencils asdefective. He sells 92% of the remainder andstill has 684 pencils left. How many pencilsdid he originally have?

(1) 9000 (2) 6000(3) 10000 (4) 8000

(5) None of these

65. Successive discounts of 15% and 25% areequivalent to a single discount of

(1) 15% (2) 21%

(3) 18% (4) 25%

(5) None of these

66. If the numerator of a fraction is increased by10% and the denominator is decreased by20%, then the value of the fraction is 12/13.What is the original fraction?

(1) 96/143 (2) 61/89

(3) 55/143 (4) 25/89

(5) None of these

67. The population of a city increases at the rateof 5% per annual increase of 2% in thepopulation due to the job seekers. The

percentage increase in the population after 2years will be

(1) 23% (2) 12%

(3) 15% (4) 25%

(5) None of these

68. Two fifth of one-third of a number is 85% of320. What is the number?

(1) 1020 (2) 1021

(3) 2040 (4) 2450

(5) None of these

69. The digit at unit’s place in a two-digit numberis increased by 100% and the ten’s digit ofthe same number is increased by 40%. Thenumber thus formed is 20 more than theoriginal number. What is the original number?

(1) 75 (2) 61

(3) 70 (4) 26


70. A got 20% of the maximum marks in anexamination and failed by 10 marks. B whotook the same examination got 50% of thetotal marks and got 20 more than the passingmarks. What were the passing marks in theexamination?

(1) 35 (2) 30

(3) 10 (4) 28

(5) None of these

71. If two numbers are 30% and 15% of thenumber respectively, then what is thepercentage of the first number to the second?

(1) 200% (2) 300%

(3) 350% (4) 250%

(5) None of these

72. Two students appeared in an examination.One of them secured 3 marks more than theother and his marks was 40% of the sum oftheir marks. The marks obtained by them are

(1) 4, 15 (2) 3, 15

(3) 3, 6 (4) 2, 12

(5) None of these

73. In an election, out of the two candidates, onewho got 40% of the total votes was defeatedby 20,000 votes. Calculate the total number

of votes polled.

(1) 50000 (2) 100000

(3) 102450 (4) 500000

(5) None of these

74. A and B has the same price. If the price of Aincreases by 10% and the price of Bincreases by 5%, then how much more will itcost to but 3 A’s and 3 B’s?

(1) 550% (2) 600%

(3) 445% (4) 350%

(5) None of these

75. A vendor had some boxes. He sells 30% ofthe boxes and still has 154 boxes. What isthe number of boxes he had originally?

(1) 51 (2) 31

(3) 30 (4) 22

(5) None of these

76. In an island, 30% of men is same is half ofwomen and there are 15000 women. Totalnumber of people in the island is

(1) 35000 (2) 29000

(3) 10000 (4) 25000

(5) None of these

77. 40% of the voters decide to vote for A andrests decide to vote for B. But on the last dayof the election, only 20% voted for A and 40%,voted for B. If A lost by 20 votes, then the totalnumber of voters is

(1) 75 (2) 61

(3) 90 (4) 95

(5) None of these

78. Out of the 2500 inhabitants of a town, 70%are males of whom 30% are literate. If, out ofall the inhabitants 30% are literate, then whatpercentage of the females of the town areliterate?

(1) 15% (2) 21%

(3) 18% (4) 5%

(5) None of these

79. Rs. 7400 was distributed among A, B and Csuch that A received 25% more than B and Breceived 20% more than C. What amount did

C receive?

(1) 2000 (2) 6.071

(3) 10 (4) 2.05

(5) None of these

80. A trader dealing in mobile phone reduced theprice by 20% as result of which, the saleswent up by 80%. What was the net effect onhis sales income?

(1) 105% (2) 116%

(3) 98.5% (4) 72%

(5) None of these

81. Ramesh spends Rs. 50 to by butter. On oneoccasion, he could buy 2.5 kg of butter lessfor Rs. 50 as the price had gone up by 20%.What was the earlier price of butter per kg?

(1) Rs. 3.33 (2) Rs. 6.21

(3) Rs. 4.10 (4) Rs. 5.05

(5) None of these

82. If ‘a’ is 90% of ‘b’ is what percent of ‘a+3b’?

(1) 35% (2) 12.5%

(3) 10% (4) 25.6%

(5) None of these

83. 40% of the employees of certain company aremen and 60% of men earn more than Rs.30,000 per year. If 40% of the company’semployees earn more than Rs. 30,000 peryear, then what fraction of the womenemployed by the company earn less than orequal to Rs. 30,000 per year?

(1) 7/12 (2) 11/25

(3) 0.6 (4) 2.05

(5) None of these

84. Rajnesh’s earning increases by 30% in oneyear but decreases by 5% in the next year.After 5 years, his total earnings would be Rs.60,000. What is his present earning?

(1) Rs. 30,000 (2) Rs. 41,000

(3) Rs. 25000 (4) Rs. 35000

(5) None of these

85. Three subjects in an examination havemaximum marks per subject in the ratio of 1: 2 : 4 respectively. If a student obtained 40%in the first subject, 50% in the second and

60% in the third subject, then what percentagedid he score overall?

(1) 52.5% (2) 67%

(3) 54.3% (4) 56.7%

(5) None of these

86. Give that a% of b + ? % of 2a = a% of (a+2b).The value of ‘?’ is

(1) a - b (2) (a + b)/2

(3) a – 2b (4) a + b

(5) None of these

87. In city, 10% of the population died due todrought, 10% of the remaining due to lack offood and 20% of the rest due to disease. Thefinal population was reduced to 820, 80,88.What was the original value of the population?

(1) 5560000 (2) 6710000

(3) 1000000 (4) 20550000

(5) None of these

88. The daily wage is increased by 25% and aperson now gets Rs. 25 per day. What washis daily wage before the increase?

(1) Rs. 35 (2) Rs. 24

(3) Rs. 20 (4) Rs. 25

(5) None of these

89. The price of sugar has fallen by 10%. Howmany 1 kg can be bought for the same amountwhich was sufficient to buy 18 1 kg at thehigher price?

(1) 15 (2) 60

(3) 10 (4) 20

(5) None of these

90. There are five boxes in a container. The weightof the first box is 200 kg and the weight of thesecond box is 20% higher than the weight ofthe third box, whose weight is 25% higher thanthe first box. The fourth box at 350 kg is 30%higher than the fifth box. The difference inaverage weight of the four heaviest boxes andthe four lightest boxes is

(1) 55 (2) 62.5

(3) 70.5 (4) 82

(5) None of these

91. In a college, there are 15 more girls than boys.

If the number of girls is increased by 10% andthe number of boys is also increased by 16%,there would be 9 more girls than boys. Whatis the number of students in the school?

(1) 300 (2) 265

(3) 120 (4) 455

(5) None of these

92. The worker receives a 2.5% cut in pay andnow his salary is Rs. 25000. What was hissalary to begin with?

(1) 18433 (2) 13452

(3) 22354 (4) 24562

(5) None of these

93. Anirban gets a 4% raise. A year later, Anirbanreceives a 2.5% cut in pay and now his salaryis Rs. 25000. What was his salary to beginwith?

(1) Rs. 24654.8 (2) Rs. 20000

(3) Rs. 13005 (4) Rs. 15421

(5) None of these

94. Given that 40% of 2490 + 30% of x = 33.33%of 4500. What is the value of ‘x’

(1) 1250 (2) 3215

(3) 168 (4) 105

(5) None of these

95. Given that 20% of 25% of 8420 of x = 20% of12500 + 0.5 × 112. What is the value of ‘x’?

(1) 5 (2) 6.071

(3) 10 (4) 2.05

(5) None of these

ANSWERS

17. 318. 519. 120. 221. 122. 423. 524. 525. 326. 127. 228. 329. 530. 431. 132. 2

1. 12. 53. 24. 25. 26. 37. 18. 19. 310. 411. 312. 513. 514. 115. 316. 2

33. 234. 135. 336. 237. 338. 239. 440. 141. 342. 143. 144. 245. 446. 347. 348. 1

49. 550. 251. 352. 453. 454. 455. 156. 257. 558. 359. 160. 261. 162. 563. 164. 1

65. 566. 167. 368. 369. 570. 271. 172. 373. 274. 375. 476. 577. 578. 579. 180. 2

81. 182. 483. 284. 185. 386. 287. 588. 389. 490. 291. 292. 593. 194. 395. 2

PROFIT & LOSS

1. Rohan sold two horse for Rs. 1500 each, gaining

20% on the one and losing 20% on the other. Find

his total gain or loss percent?

(1) 4.16% loss (2) 4% loss

(3) 5% gain (4) 6.4% gain

(5) None of these

2. A trader allows a discount of 12 percent for cash

payment. If he still gain 10% on his outlay, then

how much percent above the cost price must he

mark his goods?

(1) 10% (2) 30%

(3) 25% (4) 20%

(5) None of these

3. A reduction of 10% in the price of mangoes can

purchase 5 mangoes more for Rs. 90. The price

of mangoes per dozen before reduction is

(1) Rs. 24 (2) Rs. 25

(3) Rs. 23 (4) Rs. 21

(5) None of these

4. A shopkeeper sells the goods at 44% loss on cost

price but uses 30% less weight. What is percentage

profit or loss?

(1) 14% (2) 16%

(3) 25% (4) 20%

(5) None of these

5. A shopkeeper sold sarees at Rs. 275 each after

giving 12% discount on labeled price. Had he not

given the discount, he would have earned a profit

of 25%. One the cost price, what was the cost

price of each saree?

(1) Rs. 250 (2) Rs 260

(3) Rs 280 (4) Rs 300

(5) None of these

6. If the cost price of 15 tables is equal to the selling

price of 20 tables, then the loss percent in

transaction is

(1) 20% (2) 25%

(3) 30% (4) 15%

(5) None of these

7. If the cost price of 16 articles is equal to the selling

price of 12 articles, then the gain or loss percent

in the transaction is

(1) 35% (2) 43%

(3) 23% (4) 33%

(5) None of these

8. If selling price of an article is 4

3 of its cost price,

then the profit % in the transaction is

(1) 33% (2) 21%

(3) 22% (4) 32%

(5) None of these

9. If I had purchased 11 articles for Rs. 10 and sold

all articles at the rate of 10 for Rs. 11, then the

profit percent would have been?

(1) 21% (2) 12%

(3) 20% (4) 9%

(5) None of these

10. A shopkeeper marks his articles at 20% above

cost price and allows a purchaser a discount of

10% for cash buying. What profit percent does

he make?

(1) 10% (2) 12%

(3) 8% (4) 15%

(5) None of these

11. By selling an article for Rs. 96, double the profit it

obtained than the profit that would have been

obtained by selling it for Rs. 84. What is the cost

price of the article?

(1) Rs. 75 (2) Rs. 80

(3) Rs. 72 (4) Rs. 82

(5) None of these

12. Ratnesh sold a watch at a loss of 5%. Had he

sold if for Rs. 49 more, he would have gained 2%.

Find the cost price

(1) Rs. 750 (2) Rs. 800

(3) Rs. 450 (4) Rs. 700

(5) None of these

13. By selling 33m of cloth, a shopkeeper gains an

amount equal to the selling price of 11m. Find the

gain percent.

(1) 40% (2) 50%

(3) 45% (4) 55%

(5) None of these

14. A man purchases 8 pens for Rs. 9 and sells 9

pens for Rs. 8. How much profit or loss does he

make?

(1) 21% (2) 24%

(3) 20% (4) 25%

(5) None of these

15. A boy buys oranges at 9 for Rs. 15 and sells them

at 8 for Rs. 20. What is his gain or loss percent?

(1) 45% (2) 50%

(3) 60% (4) 75%

(5) None of these

16. At what price should a shopkeeper mark a radio

that cost him Rs. 1200 in order that he may offer

a discount of 20%. On the marked price and still

make a profit of 25%?

(1) Rs. 1675 (2) Rs. 1875

(3) Rs. 1900 (4) Rs. 2025

(5) None of these

17. A dealer sold a sofa set at a profit of 18%. Had

he sold it for Rs.450 less, he would have gained

12%. For what value should he sell it in order to

gain 15%?

(1) Rs.8880 (2) Rs.8850

(3) Rs.8550 (4) Rs.9850

(5) None of these

18. A person bough two horses for Rs.1025. He sold

one at a loss of 20% and the other at a gain of

25% and he found that each horse was sold at the

same price. Find the cost price of two horses.

(1) Rs.525, Rs.500 (2) Rs.700, Rs.325

(3) Rs.625, Rs.400 (4) Rs.800, Rs.225

(5) None of these

19. A shopkeeper bought 150 calculators at the rate

of Rs.250 per calculator. He spend Rs.2500 on

transportation and packing. If the marked price of

calculator is Rs.320 per calculator and the

shopkeeper gives a discount of 5% on the marked

price, then what will be the profit % gained by-the

shopkeeper?

(1) 20% (2) 14%

(3) 15% (4) 16%

(5) None of these

20. If selling price is doubled, then the profit triples.

Find the profit percent

(1) 66% (2) 100%

(3) 105% (4) 120%

(5) None of these

21. Mr. X, a business man, had income in the year

1995 such that he earned a profit of 20% on his

investment in the business. In the year 1996 his

investment was less by Rs. 5000 but still had the

same income (Income — Investment I + Profit)

as that in 1995. Thus the percent profit earned in

1996 increased by 6%. What was his investment

in 1995?

(1) Rs. 1,00,000 (2) Rs.1,00,500

(3) Rs. 1,05,000 (4) D a t a

inadequate

(5) None of these

22. By selling 12 toffees for a rupee, a man loses 20%.

How many for a rupee should he sell to get a gain

of 20%?

(1) 5 (2) 8

(3) 10 (4) 15

(5) None of these

23. At what percent above the cost price must a

shopkeeper mark his goods so that he gains 20%

even after giving a discount of 10% on the marked

price?

(1) 25% (2) 30%

(3) 33% (4) 37%

(5) None of these

24. A sells a calculator to B at a profit of 30%; B sells

it to C at a loss of 20%. If C pays for the calculator

Rs.1040, then the purchase price of A is

(1) Rs.1000 (2) Rs.1200

(3) Rs.1500 (4) Rs.900

(5) None of these

25. A sells a radio to B at 20% gain. B sells to C at a

gain of 30%. If C pays Rs.624 for it, then what

did it cost A?

(1) Rs.500 (2) Rs.400

(3) Rs.300 (4) Rs.200

(5) None of these

26. Anita purchased a bracelet for Rs.x. She sold it to

her friend Gurmeet at a loss of 10%. Gurmeet

sold it to Sheetal at a gain of 20%. If Sheetal paid

Rs. 972 for it, then what did it cost Anita?

(1) Rs.800 (2) Rs.1000

(3) Rs.1200 (4) Rs.900

(5) None of these

27. A trader marks his goods 25 percent above the

cost price. He allows 12% discount on the marked

price. The gain percent is

(1) 10% (2) 30%

(3) 40% (4) 20%

(5) None of these

28. A dishonest shopkeeper professes to sell his goods

at cost price but he uses a weight of 800 gm for

the kg weight. Find his gain percent.

(1) 25% (2) 24%

(3) 35% (4) 30%

(5) None of these

29. A dishonest shopkeeper professes to sell cloth at

the cost price but he uses faulty meter rod. His

meter rod measures 85 cm only. Find his gain

percent.

(1) 10% (2) 15%

(3) 17% (4) 18%

(5) None of these

30. Naresh purchased a TV set for Rs.l 1,250 after

getting discount of 10% on the labeled price. He

spent Rs.150 on transport and Rs.800 on

installation. At what price should it be sold so that

the profit earned would be 15% if no discount was

offered?

(1) Rs. 12,937.50 (2) Rs. 14,030

(3) Rs. 13,450 (4) Rs.l5,467.50

(5) None of these

31. If there is a profit of 30% and the selling price of

an article is 520, then what is the cost price of the

article?

(1) Rs. 300 (2) Rs. 400

(3) Rs. 200 (4) Rs. 100

(5) None of these

32. If the cost price of an article is 40% of the selling

price, then the selling price is what percent of the

cost price?

(1) 100% (2) 150%

(3) 200% (4) 250%

(5) None of these

33. A reseller buys a chair for Rs. 4500.For how much

he should sell it to gain a profit of 8 %?

(1) Rs. 4350 (2) Rs. 4500

(3) Rs. 5000 (4) Rs. 4200

(5) None of these

34. By selling a motor bike for Rs. 7200, Sunil loses

10%. What is the cost of the motor bike?

(1) Rs. 6380. (2) Rs. 6480

(3) Rs. 5480 (4) Rs. 6500

(5) None of these

35. Sam buys 10 apples for 48Rs. At what price should

he sell a dozen apples if he wishes to make a profit

of 25%?

(1) Rs. 70 (2) Rs. 75

(3) Rs. 72 (4) Rs. 80

(5) None of these

36. If the cost price of 20 articles is equal to the selling

price of 25 articles, then what is the % profit or

loss made by the merchant?

(1) 20% Loss (2) 10% Profit

(3) 20% Profit (4 25% Loss

(5) None of these

37. By selling 66 meters of cotton cloth, Ram makes

loss, equivalent to the selling price of 11 meters of

the same cloth. Find the Loss%.

(1) 15.28% Profit (2) 14% Loss

(3) 13.28% Loss (4) 14.28% Loss

(5) None of these

38. The cost price of an article is 64% of the marked

price. Calculate the gain percent after allowing a

discount of 12%?

(1) 35.5% (2) 37.5%

(3) 36.5% (4) 32.5%

(5) None of these

39. By selling an umbrella for Rs. 300, a shopkeeper

gains 20%. During a clearance sale, the

shopkeeper allows a discount of 10% on the

marked price. His gain percent during the sale is

(1) 8% (2) 5%

(3) 4% (4) 10%

(5) None of these

40. After successive discounts of 12% and 5% on an

article, it was sold for Rs. 200. What was the

original price of the article?

(1) Rs. 235 (2) Rs. 200

(3) Rs. 300 (4) Rs. 238

(5) None of these

41. A man buys an article and sells it at a profit of

20%. If he bought it at 20% less and sold it for Rs

75 less, he would have gained 25%. What is the

cost price?

(1) Rs. 192.5 (2) Rs. 200.25

(3) Rs. 190.5 (4) Rs. 225

(5) None of these

42. At what percent above the cost price must a

shopkeeper mark his goods so that he gains 20%

even after giving a discount of 10% on the marked

price?

(1) 43.33% (2) 30.33%

(3) 33.33% (4) 40.33%

(5) None of these

43. A man buys two tables for Rs 1350. He sells one

so as to lose 6% and the other so as to gain 7.5 %.

On the whole he neither gains nor loses. What

does each table cost?

(1) Rs. 500 (2) Rs. 600

(3) Rs. 650 (4) Rs. 700

(5) None of these

44. Reena bought an item at 20% discount on its

original price. He sold it with 40% increase on the

price he bought it. The new sale price is by what

percent more than the original price?

(1) 13% (2) 12%

(3) 14% (4) 15%

(5) None of these

45. A shopkeeper sold an article offering a discount

of 5% and earned a profit of 23.5%. What would

have been the percentage of profit earned if no

discount was offered?

(1) 30% (2) 25%

(3) 20% (4) 45%

(5) None of these

46. By selling an article for Rs. 19.50 a dealer makes

a profit of 30 %. By how much should he increase

his selling price so as to make a profit of 40%?

(1) Re. 1 (2) Rs. 2

(3) Rs. 1.5 (4) Rs. 3

(5) None of these

47. A man bought a certain quantity of rice at the rate

of Rs. 150 per quintal. 10% of the rice was spoiled.

At what price should he sell the remaining to gain

20 % of his outlay?

(1) Rs. 200 (2) Rs. 400

(3) Rs. 300 (4) Rs. 250

(5) None of these

48. A man buys two chairs each at Rs. 5000 and

gaining 10% on one and losing 10% on the other

one. What is his profit or loss %age?

(1) 10% Loss (2) 10% Profit

(3) 20% Loss (4) 20% Profit

(5) No Loss or Profit

49. Hitesh bought two horses at Rs.5000 each. He

sold one at a profit of 10% and the other one at a

loss of 20%. What is his net profit or loss %age

on the entire transaction?

(1) 10% Profit (2) 20% Loss

(3) 20% Profit (4) 5% Profit

(5) None of these

50. A man sells two horses each for Rs. 12000. He

sells one at a profit of 20% and the other at a loss

of 20%.Find his overall Profit/Loss?

(1) 1.0% Profit (2) 2.0% Profit

(3) 3.0% Profit (4) 2.1% Profit

(5) None of these

51. Raju sells his car with a profit of 10% to Anil and

Anil sells it to Rajeev with a profit of 20%. What

is the price at which Raju bought the car if Rajeev

bought the car at Rs. 400?

(1) Rs. 343 (2) Rs. 303

(3) Rs. 353 (4) Rs. 350

(5) None of these

52. A shopkeeper fixes the marked price of an item

35% above its cost price. The percentage of

discount allowed to gain 8% is

(1) 40% (2) 25%

(3) 50% (4) 30%

(5) None of these

53. If the margin percentage on a certain item is 40%,

then what will be the profit if the cost price is Rs.

600?

(1) Rs. 240 (2) Rs. 250

(3) Rs. 260 (4) Rs. 270

(5) None of these

54. A cap marked at Rs. 80 is sold for Rs. 68, then

the discount percentage is?

(1) 14% (2) 13%

(3) 15% (4) 10%

(5) None of these

55. Merchant who marked his goods up by 50%

subsequently offered a discount of 20%. What is

the percentage profit that the merchant makes

after offering the discount?

(1) 25% (2) 20%

(3) 15% (4) 21%

(5) None of these

56. A pair of articles was bought for Rs. 37.40 at a

discount of 15%.What must be the marked price

of each of the articles?

(1) Rs. 25 (2) Rs. 26

(3) Rs. 22 (4) Rs. 28

(5) None of these

57. Buy 1 get 3 free. What is the discount percent

that is being offered here?

(1) 65% (2) 75%

(3) 45% (4) 55%

(5) None of these

58. A shopkeeper offers 2.5% discount on cash

purchases. What cash amount would Rajeev pay

for a cycle, the marked price of which is Rs.640?

(1) Rs. 625 (2) Rs. 624

(3) Rs. 650 (4) Rs. 680

(5) None of these

59. What is the maximum percentage discount that a

merchant can offer on his marked price so that he

ends up selling at no profit or loss, if she had initially

marked her goods up by 50%?

(1) 32.44% (2) 35.44%

(3) 36.44% (4) 33.44%

(5) None of these

60. If an article is marked up by 40% of the cost price

and then two successive discounts of 20% and

20% are given, then what is the profit or loss %

age?

(1) 10.4% Loss (2) 12.4% Loss

(3) 11.4% Loss (4) 15.4% Loss

(5) None of these

61. Two successive rises of 10% and 20% are equal

to a net % age rise of__________?

(1) 32% (2) 34%

(3) 35% (4) 38%

(5) None of these

62. If a shopkeeper gives an article worth Rs.300 free

with every two articles worth Rs.500, then what

should be the mark up % age such that after selling

two articles he neither gains nor loses?

(1) 38.5% (2) 35.5%

(3) 39.5% (4) 37.5%

(5) None of these

63. Some articles were bought at 6 for Rs 5 and sold

at 5 for Rs.6. What is the profit percentage?

(1) 45% (2) 60%

(3) 50% (4) 52%

(5) None of these

64. A vendor bought toffees at 6 for a rupee. How

many for a rupee must he sell to gain 20%?

(1) 5 (2) 6

(3) 7 (4) 8

(5) None of these

65. Which is profitable for the customer: - i) Three

successive discounts of 10%, 20%, 30% OR ii)

three successive discounts of 20%?

(1) ii (2) i

(3) Both i and ii (4) D a t a

inadequate

(5) None of these

66. By selling an article at 40% profit I get Rs.48 more,

than if it would have been sold at a loss of 20%?

At what price it should be sold to earn a profit of

35%?

(1) Rs. 105 (2) Rs. 108

(3) Rs. 110 (4) Rs. 115

(5) None of these

67. By selling an article for Rs.732, I get a profit of

25% on the selling price. What is my actual profit

%?

(1) 43.33% (2) 42.33%

(3) 41.33% (4) 40.33%

(5) None of these

68. The ratio of the cost price and the selling price is

2: 3. What is the profit percentage?

(1) 60% (2) 70%

(3) 50% (4) 60%

(5) None of these

69. If I mark up my articles by 20% and use a balance,

which weighs 1100 gms instead of 1000 gms, then

what is my net profit or loss %age?

(1) 32% (2) 33%

(3) 35% (4) 40%

(5) None of these

70. After marking up the articles by 40%, a

shopkeeper gives a discount of 20%, what is his

net profit % age?

(1) 25% (2) 20%

(3) 12% (4) 13%

(5) None of these

71. When a plot is sold for Rs.18, 700, the owner loses

15%. At what price must the plot be sold in order

to gain 15%?

(1) Rs. 25300 (2) Rs. 25500

(3) Rs. 20300 (4) Rs. 21300

(5) None of these

72. A shopkeeper sells one transistor for Rs.840 at a

gain of 20% and another for Rs. 960 at a loss of

4%. His total gain or loss percent is

(1) 6.88% (2) 7.88%

(3) 4.88% (4) 3.88%

(5) None of these

73. If both the selling price and the cost price are

increased by 10%, then what will be the change

in the profit Percent?

(1) Increase 10% (2) Increase 20%

(3) Decrease 10% (4) Decrease 20%

(5) No change

74. If the cost price of 12 pens is equal to the selling

price of 8 pens, then the profit percent is

(1) 50% (2) 60%

(3) 40% (4) 30%

(5) None of these

75. By selling 33 metres of cloth, one gains the selling

price of 11 metres. Find the gain percent.

(1) 40% (2) 30%

(3) 20% (4) 50%

(5) None of these

76. A dishonest seller uses a weight of 800 g in place

of 1 kg and adds 20% impurities in sugar. What

would be his profit percentage if he claims to be

selling at cost price?

(1) 40% (2) 32%

(3) 50% (4) 44%

(5) None of these

ANSWERS

15. 216. 217. 518. 319. 220. 221. 322. 223. 524. 125. 226. 427. 128. 1

1. 22. 33. 14. 45. 16. 27. 58. 59. 110. 311. 312. 413. 214. 1

29. 530. 431. 232. 433. 534. 235. 336. 137. 438. 239. 140. 441. 142. 3

43. 544. 245. 146. 347. 148. 549. 550. 551. 252. 553. 554. 355. 256. 3

57. 258. 259. 460. 561. 162. 463. 564. 165. 166. 267. 568. 369. 170. 3

71. 172. 573. 574. 175. 476. 377. 178. 279. 1

77. A dishonest dealer professes to sell his goods at

cost price but uses a weight of 700 gms for 1 kg.

Find his gain percent.

(1) 42.85% (2) 43.85%

(3) 44.85% (4) 42.86%

(5) None of these

78. A retailer marks all his goods at 50% above the

cost price and thinking that he will still make a

profit of 25%, offers a discount of 25% on the

marked price. What is his actual profit on the sales?

(1) 13.5% (2) 12.5%

(3) 14.5% (4) 15.5%

(5) None of these

79. Rajat purchased a bike for Rs.80, 000 and spent

Rs. 5000 on repair and Rs.1000 on transport. He

then sold it with 25% profit. At what price did he

sell the bike?

(1) Rs. 107500 (2) Rs. 105500

(3) Rs. 107000 (4) Rs. 107800

(5) None of these

RATIO AND PROPORTION

1. Find a fourth proportional to the numbers 6, 8,

9.

(a) 12 (b) 7

(c) 5 (d) 14

(e) None of these

2. Find a third proportional to the numbers 3 and6.

(a) 21 (b) 1.5

(c) 18 (d) 12

(e) None of these

3. Two numbers are in the ratio of 9 : 11. If sum ofthese two numbers is 660, find the difference

between the numbers.

(a) 66 (b) 56

(c) 46 (d) 76

(e) None of these

4. A bag contains rupee, 50-paise and 25-paise

coins in the ratio 5 : 7 : 9. If the total amount inthe bag is ` 430, find the number of coins of

each kind.

(a) 200, 280, 360 (b) 280, 200, 360

(c) 360, 280, 200 (d) 360, 200, 280

(e) None of these

5. A bag contains an equal number of 50-paise,

25-paise, 20 paise and 5-paise coinsrespectively. If the total value is ` 40, howwmany coins of each type are there?

(a) 40 (b) 25

(c) 30 (d) 20

(e) None of these

6. One man adds 6 litres of water to 11 litres ofmilk and another 9 litres of water to 8 litres ofmilk. What is the ratio of the strengths of milkin the two mixtures?

(a) 2 : 3 (b) 3 : 2

(c) 11 : 8 (d) 8 : 11

(e) None of these

7. Two vessels contain equal quantity of mixturesof milk and water in the ratio 8:9,arid 12:5respectively. Both the mixtures are now mixed

thoroughly. Find the ratio of milk to water in

the new mixture so obtained.

(a) 7 : 10 (b) 13 : 21

(c) 21 : 13 (d) 10 : 7

(e) None of these

8. Two vessels contain equal quantity of mixturesof milk and water in the ratio 9 : 5 and 4 : 3respectively. Both the mixtures are now mixedthoroughly. Find the ratio of milk to water in

the new mixture so obtained.

(a) 17 : 11 (b) 11 : 17

(c) 8 : 13 (d) 13 : 8

(e) None of these

9. The contents of two vessels containing waterand milk are in the ratio 2:3 and 4:5 are mixed

in the ratio 1:2. The resulting mixture will havewater and milk in the ratio

(a) 77:58 (b) 58:77

(c) 68:77 (d) 77:68

(e) None of these

10. The contents of two vessels containing waterand milk are in the ratio 3:4 and 5:4 are mixed

in the ratio 1:4 The resulting mixture will havewater and milk in the ratio : .

(a) 184:176 (b) 167:184

(c) 167:148 (d) 148:167

(e) None of these

11. An amount of ` 950 is distributed among A, B

and C in the ratio of 5 : 11 : 3, what is thedifference between the share of B and A?

(a) 550 (b) 250

(c) 200 (d) 300

(e) None of these

12. A and B are two alloys of gold and copperprepared by mixing metals in proportions 7 : 2and 7:11 respectively. If equal quantities of

alloys are melted to form a third alloy C, theproportion of gold and copper in C will be:

(a) 5 : 9 (b) 5 : 7

(c) 7 : 5 (d) 9 : 5

(e) None of these

13. The sum of three numbers is 105. If the ratiobetween the first and second be 2 : 3 and thatbetween the second and third be 4 : 5, then

find the second number.

(a) 35 (b) 24

(c) 36 (d) 45

(e) None of these

14. The sum of three numbers is 275. If the ratio

between the first and second be 3 : 7 and thatbetween the second and third be 2 : 5, thenfind the second number.

(a) 30 (b) 175

(c) 70 (d) 80

(e) None of these

15. If A : B = 3 : 4, B : C = 5 : 7 and C : D = 3 : 5, then findA : B : C : D.

(a) 9 : 21 : 12 : 28 (b) 45 : 60 : 84 : 140

(c) 9 : 12 : 28 : 21 (d) 9 : 12 : 21 : 82

(e) None of these

16. A hound pursues a hare and takes 6 leaps forevejy 7 leaps of the hare, but 5 leaps of thehound are equal to 6 leaps of the hare.

Compare the rates of the hound and the hare.

(a) 36 : 35 (b) 35 : 34

(c) 34 : 33 (d) 33 : 32

(e) None of these

17. A hound pursues a hare and takes 3 leaps forevery 4 leaps of the hare, but 2 leaps of the

hound are equal to 3 leaps of the hare.Compare the rates of the hound and the hare.

(a) 9 : 8 (b) 7 : 6

(c) 5 : 6 (d) 8 : 9

(e) None of these

18. In 28 litres mixture of milk and water the ratioof milk and water is 5 : 2 How much water should

be added in the mixture so that the ratio ofmilk to water becomes 2 : 5?

(a) 42 litres (b) 32 litres

(c) 24 litres (d) 39 litres

(e) None of these

19. In a mixture of 60 litres, the ratio of milk andwater is 2 : 1. If the ratio of milk and water is tobe 1 : 2, then the amount of water to be furtheradded is :



(e) None of these

20. A mixture contains milk and water in the ratio

of 9 : 4 On adding 4 litres of water, the ratio ofmilk to water becomes 3 : 2 Find the totalquantity of the original mixture.



(e) None of these


of 4 : 3 On adding 2 litres of water, the ratio ofmilk to water becomes 8 : 7 Find the totalquantity of the final mixture.



(e) None of these

22. The ratio between two numbers is 15 : 7 If eachnumber be decreased by 2, the ratio becomes7 : 3 Find the numbers.

(a) 15, 7 (b) 30, 14

(c) 45, 21 (d) 60, 28

(e) None of these

23. The incomes of A and B are in the ratio 9 : 4 and

their expenditures are in the ratio 7 : 3. If each

saves ` 2000, what are their incomes?

(a) ` 90000, ` 4000

(b) ` 27000, ` 12000

(c) ` 72000, ` 16000

(d) ` 72000, ` 32000

(e) None of these


of 9 : 4 On adding 8 litres of water, the ratio ofmilk to water becomes 3 : 2. Find the totalquantity of the original mixture.



(e) None of these

25. A mixture contains milk and water in the ratioof 4 : 3 On adding 6 litres of water, the ratio ofmilk to water becomes 8 : 7 Find the totalquantity of the final mixture.



(e) None of these

26. Find the number which, when added to theterms of the ratio 13 : 28 makes it equal to theratio 1 : 2 (a) 4 (b) 3

(c) 2 (d) 1

(e) None of these

27. Find the number which, when added to theterms of the ratio 9 : 17 makes it equal to the

ratio 3 : 5 (a) 4 (b) 3

(c) 2 (d) 1

(e) None of these

28. Find the number which, when subtracted fromthe terms of the ratio 15 : 17 makes it equal tothe ratio 6 : 7

(a) 4 (b) 3

(c) 2 (d) 1

(e) None of these

29. Find the number which, when subtracted fromthe terms of the ratio 11 : 25 makes it equal tothe ratio 4 : 11

(a) 4 (b) 3

(c) 1 (d) 1

(e) None of these

30. A bucket contains a mixture of two liquids A

and B in the proportion 5 : 3 If 16 litres of the

mixture is replaced by 16 litres of liquid B, thenthe ratio of the two liquids becomes 3 : 5. Howmuch of the liquid B was there in the bucket?



(e) None of these

31. A bucket contains a mixture of two liquids A

and B in the proportion 6 : 5 If 33 litres of themixture is replaced by 33 litres of liquid B, then

the ratio of the two liquids becomes 3 : 4 Howmuch of the liquid A was there in the bucket?



(e) None of these

32. A vessel contains liquids A and B in ratio 3 : 1 If

8 litres of the mixture are removed and thesame quantity of liquid B is added, the ratiobecomes 1 : 3 What quantity does the vesselhold?



(e) None of these

33. A vessel contains liquids A and B in ratio 7 : 6 If26 litres of the mixture are removed and thesame quantity of liquid B is added, the ratio

becomes 6 : 7 What quantity does the vesselhold?



(e) None of these

34. An employer reduces the number of hisemployees in the ratio 9 : 4 and increases theirwages in the ratio 2 : 5 State whether his bill oftotal wages increases or decreases, and in whatratio?

(a) Decrease, 10 : 9

(b) Increase, 10 : 9

(c) Decrease 9 : 11

(d) Increase, 9 : 10

(e) None of these

35. Two candles of the same height are lighted at

the same time. The first is consumed in 8 hoursand the second in 6 hours. Assuming that each

candle burns at a constant rate, in how manyhours after being lighted, the ratio betweenthe first and second candles becomes 2 : 1

(a) 2 hours 24 minutes

(2) 4 hours

(c) 1 hour 12 minutes

(d) 4 hours 48 minutes

(e) None of these

36. Two candles of the same height are lighted at

the same time. The first is consumed in 7 hoursand the second in 6 hours. Assuming that eachcandle burns at a constant rate, in how manyhours after being lighted, the ratio betweenthe first and second candles becomes 3 : 1

(a) 5 hours 36 minutes

(b) 5 hours

(c) 5 hours 60 minutes

(d) 6 hours

(e) None of these

37. Two candles of the same height are lighted atthe same time. The first is consumed in 3 hoursand the second in 1 hour. Assuming that eachcandle burns at a constant rate, in how many

hours after being lighted, the ratio betweenthe first and second candles become 2 : 1

(a) 48 minutes (b) 1 hour 36 min

(c) 36 minutes (d) 60 minutes

(e) None of these

38. Divide 1162 into three parts such that 4 timesthe first is equal to 5 times the second and 7times the third. Find the value of smallest part.

(a) 490 (b) 492

(c) 390 (d) 280

(e) None of these

39. Divide ` 680 among A, B and C such that A gets

3

2of what B gets and B gets

4

1 th of what C

gets. What is C’s share?

(a) ` 280 (b) ` 380

(c) ` 480 (d) ` 120

(e) None of these

40. When 50% of one number is added to a second

number, the second number increases to itsfour-thirds. What is the ratio between the firstnumber and the second number?

(a) 3 : 2 (b) 3 : 4

(c) 2 : 3 (d) Data inadequate

(e) None of these

41. ` 600 has been divided among A, B and C insuch a way that ` 40 more than (2/5) of A's share,

` 20 more than (2/7) of B’s share, ` 10 moree

than (9/17) of C’s share, are all equal. A’sshare is :

(a) ` 280 (b) ` 170

(c) ` 150 (d) ` 200

(e) None of these

42. Gold is 19 times as heavy as water and copper 9times as heavy as water. The ratio in which thesetwo metals be mixed so that the mixture is 15times as heavy as water, is :

(a) 1 : 2 (b) 2 : 3

(c) 3 : 2 (d) 19 : 135

(e) None of these

43. One year ago the ratio between Laxman’s and

Gopal’s salary was 3 : 4. The individual ratios

between their last year’s and this year’ssalaries are 4 : 5 and 2 : 3 respectively. At present

the total of their salary is ` 4160. The salary ofLaxman now, is

(a) ` 1600 (b) ` 2560

(c) ` 1040 (d) ` 3120

(e) None of these

ANSWERS9. (b)10. (c)11. (d)12. (c)13 (c)14. (c)15. (b)16. (a)

1. (a)2. (d)3. (a)4. (a)5. (a)6. (c)7. (d)8. (a)

17. (a)18. (a)19. (c)20. (a)21. (d)22. (b)23. (d)24. (d)

25. (e)26. (c)27. (b)28. (b)29. (b)30. (b)31. (a)32. (a)

33. (d)34. (d)35. (d)36. (a)37. (c)38. (d)39. (c)40. (c)

41. (c)42. (c)43. (a)

PARTNERSHIP

1. Ram, Shyam and Amit started a business byinvesting Rs 60000 Rs 45000 and Rs 30000respectively. At the end of the year, the firm earnedRs 54000 as profit. What will be the share of Ramin total profit?

(1) Rs 24000 (2) Rs 18000

(3) Rs 12000 (4) Rs 20000

(5) None of these

2. Three friends A, B and C started a business byinvesting a sum of money in the ratio of 5 : 7 : 6After 6 months, C withdraws half of his capital. Ifthe total annual profit is Rs 33000, then C’s is sharewill be?

(1) Rs 9000 (2) Rs 12000

(3) Rs 11000 (4) Rs 14000

(5) None of these

3. Suresh invested Rs 12000 in a shop an Dineshjoined him after 4 months by investing Rs 7000 ofthe net profit after one year be Rs 13300. Dinesh’sShare in the profit is?

(1) Rs 9576 (2) Rs 4900

(3) Rs 8400 (4) Rs 8600

(5) None of these

4. Kundan got Rs 60,000 as his share out of the totalprofit of Rs 90,000 which he and Sonu earned theend of one year of Kundan invested Rs 300,000for 6 months. Where as Sonu invested his amountfor the whole year, the amount for the whole year,the amount invested by Sonu was.

(1) Rs 50000 (2) Rs 60000

(3) Rs 100000 (4) Rs 200000

(5) None of these

5. Kishan and Nandan started a joint firm. Timeperiod of Kishan’s investment was two times theperiod of investment of Nandan and amount ofinvestment of Kishan is three times the amount

of investment of Nandan. Nandan got Rs 4000 asprofit for his investment. Their total profit of thedistribute of the period is

(1) Rs 24000 (2) Rs 16000

(3) Rs 28000 (4) Rs 20000

(5) None of these

6. A and B enter into partnership investing Rs 12000and Rs 16000 respectively. After 8 months, C alsojoins the business with a capital of Rs 15000. Theshare of C in profit of Rs 45000 after 2 years willbe

(1) Rs 12000 (2) Rs 14400

(3) Rs 21200 (4) Rs 19200

(5) None of these

7. Jack, Jill and Jimmy invested capitals in the ratio 1: 2 : 3, the timing of their investments being in theratio 1 : 2 : 3. In which ratio would their profit bedistributed?

(1) 3 : 2 : 1 (2) 1 : 4 : 9

(3) 4 : 1 : 9 (4) 9 : 4 : 1

(5) None of these

8. A, B and C invested capital in the ratio 4 : 6 : 9.At the end of the business term, they received theprofit in the ratio 2 : 3 : 5. Find the ratio of time forwhich they contributed their capital.

(1) 1 : 1 : 9 (2) 2 : 2 : 9

(3) 10 : 10 : 9 (4) 5 : 5 : 9

(5) None of these

9. A, B and C invested their capitals in a business ifthe ratio of their periods of investments are2 : 3 : 4 and their profit are in the ratio of 4 : 9 : 8.Find the ratio in which the investments are madeby A, B and C.

(1) 2 : 3 : 2 (2) 3 : 2 : 2

(3) 4 : 2 : 1 (4) 2 : 2 : 1

(5) None of these

10. Ram, Rahim and John started a shop by investingRs 2700, Rs 8100 and Rs 7200 respectively. Atthe end of one year, the profit was distributedamong them. If Rahim’s share was Rs 3600, thentheir total profit was?

(1) Rs 10800 (2) Rs 11600

(3) Rs 9600 (4) Rs 8000

(5) None of these

11. X and Y invested in a business. They earned someprofit and divided it in the ratio 2 : 3. If X investedRs 40, then find the money invested by Y?

(1) Rs 20 (2) Rs 30

(3) Rs 80 (4) Rs 60

(5) None of these

12. A and B invest Rs 3000 and Rs 4000 respectivelyin a business. A receives Rs 10 per months out ofthe profit as a remuneration for running the businessand the rest of profit is divided in proportion to theinvestments. If in a year, ‘A’ totally receives Rs390, what does B receive?

(1) Rs 630 (2) Rs 360

(3) Rs 480 (4) Rs 380

(5) None of these

13. A, B and C alone can do a work in 20, 25 and 30days respectively. If they undertake to finish thework together for Rs 2220, then the share of Aexceeds that of B by?

(1) Rs 120 (2) Rs 180

(3) Rs 300 (4) Rs 600

(5) None of these

14. Ninad, Vikas and Manav enter into a partnership.Ninad invests some amount at the beginning. Vikasinvests double the amount after 6 months andManav invests double amount invested by Ninadafter 8 months. They earn a profit of Rs 45000 atthe end of the year. What is Manav’s share inprofit?

(1) Rs 25000 (2) Rs 15000

(3) Rs 12000 (4) Rs 9000

(5) None of these

15. Aran started a business investing Rs 38000. After5 months Bakul joined him with a capital of Rs55000. At the end of the year the total profit wasRs 22000. What is the approximate differencebetween the share of profits of Aran and Bakul?

(1) Rs 1192 (2) Rs 1856

(3) Rs 1007 (4) Rs 1928

(5) None of these

16. Sarita started a business investing Rs 50,000. Aftersix months, Abhishek joined her with Rs 75000.After another six months Nisha also joined thenwith Rs 1.25 lakh. Profit earned at the end of 2years from when Sarita started the business shouldbe distributed among Sarita, Abhishek and Nishain what respective ratio?

(1) 4 : 5 : 6 (2) 8 : 9 : 10

(3) 8 : 9 : 12 (4) 4 : 9 : 8

(5) None of these

17. Four milkmen rented a pasture. A grazed 15 cowsfor 4 months. B grazed 12 cows for 2 months, Cgrazed 18 cows for 6 months, and D grazed 16cows for 5 months. If A’s share of rent is Rs 1020,what is C’s share of rent?

(1) Rs 1836

(2) Rs 1360

(3) Rs 816


(5) None of these

18. Pankaj started a business investing Rs 42000. After4 months Nitin joined him with a capital of Rs57000. At the end of the year the total profit wasRs 26000. What is the difference between theshare of profits of Pankaj and Nitin?

(1) Rs 1200 (2) Rs 1400

(3) Rs 1600 (4) Rs 1800

(5) None of these

19. A, B and C invested Rs 10000, Rs 14000 and Rs12000, respectively in a business. If at the end ofa year, they got a profit of Rs 5400, the share of Bin profit (if profit is divided in proportion to theinvestment of each) is?

(1) Rs 1500 (2) Rs 2100

(3) Rs 1800 (4) Rs 150

(5) None of these

20. A starts business with Rs 3500 after 5 months Bjoins with A as his partner. After a year, the profitis divided in the ratio 2 : 3. What is B’s contributionin the capital?

(1) Rs 8000 (2) Rs 8500

(3) Rs 9000 (4) Rs 7500

(5) None of these

21. A, B and C rent a pasture. A puts 10 oxen for 7months, B puts 12 oxen for 5 months and C puts15 oxen for 3 months for grazing. If the rent ofthe pasture is Rs 175, how much must C pay ashis share of rent?

(1) Rs 45 (2) Rs 50

(3) Rs 55 (4) Rs 60

(5) None of these

22. A, B and C enter into a partnership and their shares

are in the ratio 1 1 1

: : 2 3 4

After 2 months, AA

withdraws half of its capital and after 10 monthsa profit of Rs 378 is divided among them. What isB’s share?

(1) Rs 129 (2) Rs 144

(3) Rs 156 (4) Rs 168

(5) None of these

23. A, B and C are partnership of a company. Duringa particular year A received one-third of the profit,B received one-fourth of the profit and C receivedthe remaining Rs 5000. How much did A receive?

(1) Rs 5000 (2) Rs 4000

(3) Rs 3000 (4) Rs 1000

(5) None of these

24. Vinay started a business investing Rs 70,000.Ashok joined him after six months with an amountof Rs 105000 and Sunil joined them with Rs 1.4lakhs after another six months. The amount ofprofit earned should be distributed in what ratioamong Vinay, Ashok and Sunil respectively, three

years after Vinay started the business?

(1) 42 : 45 : 56

(2) 7 : 6 : 10

(3) 12 : 15 : 16


(5) None of these

25. Veena started a business investing Rs 75000. After3 months, Poonam joined her with an amount ofRs 125000 and after another six months, Saritajoined them with an amount of Rs, 150000. Profitearned at the end of three years from when Veenastarted the business should be distributed in whatratio among Veena, Poonam and Saritarespectively?

(1) 36 : 55 : 54

(2) 18 : 28 : 27

(3) 35 : 54 : 55


(5) None of these

26. A company makes a profit of Rs. 900000 20% ofwhich is paid as taxes. If the rest is divided amongthe partners P, Q and R in the ratio of 1 : 2 : 3,then the share of Q?

(1) Rs. 210000 (2) Rs. 240000

(3) Rs. l10000 (4) Rs. 300000

(5) None of these

27. A and B are partners in a business. A contributesone-fourth of the capital for 15 months and Breceived two-third of the profit. For how long B’smoney was used?

(1) 11 months (2) 14 months


(5) None of these

28. A and B started a business with initial investmentsin the ratio 14 : 15 and their annual profits were inthe ratio 7 : 6. If A invested the money for 10months, for how many months did B invest hismoney?



(5) None of these

29. A and B invest in a business in the ratio 3 : 2. If5% of the total profit goes to charity and A’s shareis Rs. 855, the total profit is?

(1) Rs. 3100 (2) Rs. 2400

(3) Rs. l100 (4) Rs. l500

(5) None of these

30. Three partners shared the profit in a business inthe ratio 5 : 7 : 8. They had partnered for 14months, 8 months and 7 months respectively. Whatwas the ratio of their investments?

(1) 5 : 2 : 2 (2) 3 : 2 : 1

(3) 3 : 4 : 1 (4) 2 : 3 : 1

(5) None of these

31. Two friends P and Q started a business investingin the ratio 5 : 6. R joined them after six monthsinvesting an amount equal to that of Q’s. At theend of the year, 20% profit was earned which wasequal to Rs. 98000. What was the amount investedby R?

(1) Rs. 230000 (2) Rs. 140000

(3) Rs. 1100550 (4) Rs. 1020000

(5) None of these

32. A and B started a business jointly. A invests Rs.16000 for 8 months and B remains in the businessfor 4 months. Out of the total profit, B claims two-seventh of the profit. How much money wascontributed by B?

(1) Rs. 45600 (2) Rs. 13600

(3) Rs. l1020 (4) Rs. 30340

(5) None of these

33. A starts business with Rs. 3500 and after 5 months,B joins with A as his partner. After a year, theprofit is divided in the ratio 2 : 3. What is B’scontribution in the capital?

(1) Rs. 5000 (2) Rs. 9000

(3) Rs. 7000 (4) Rs. 8000

(5) None of these

34. A began a business with Rs. 85000. He was joined

afterwards by B with Rs. 42500. For how muchperiod does B join, if the profits at the end of theyear are divided in the ratio 3 : 1?



(5) None of these

35. A started a business with Rs. 21,000 and is joinedafterwards by B with Rs. 36000. After how manymonths did B join if the profits at the end of theyear are divided equally?



(5) None of these

36. A and B started a business jointly. A’s investmentwas thrice the investment of B and the period ofhis investment was two times the period ofinvestment of B. If B received Rs. 4000 as profit,then their total profit is?

(1) Rs. 45000 (2) Rs. 20000

(3) Rs. l1000 (4) Rs. 24000

(5) None of these

37. A, B and C started a shop by investing Rs. 27000,Rs. 72000 and Rs. 81000 respectively. At the endof the year, the profits were distributed amongthem. If C’s share of profit be Rs 36,000, then thetotal profit was?

(1) Rs. 210000 (2) Rs. 80000

(3) Rs. l12000 (4) Rs. 300000

(5) None of these

38. Manoj received Rs. 6000 as his share out of thetotal profit of Rs. 9000 which he and Rahul earnedat the end of one year. If Manoj invested Rs.20,000 for 6 months whereas Rahul invested hisamount for the whole year, what was the amountinvested by Rahul?

(1) Rs. 24000 (2) Rs. 2400

(3) Rs. 5000 (4) Rs. 3000

(5) None of these

39. X and Y invested in a business. They earned someprofit which they divided in the ratio of 2 : 3. If X

invested Rs. 40,000, the amount invested by Y is?

(1) Rs. 29000 (2) Rs. 60000

(3) Rs. 16000 (4) Rs. 30000

(5) None of these

40. A and B started a business with initial investmentsin the ratio 2: 3 and their annual profits were in theratio 4: 3. If A invested the money for 10 months,for how many months did B invest his money?



(5) None of these

41. In a partnership, A invests one-sixth of the capitalfor one sixth of the time, B invests one-third ofthe capital for one-third of the time and C, the restof the capital for the whole time. Out of a profit ofRs. 4600, B’s share is?

(1) Rs. 210 (2) Rs. 240

(3) Rs. 1100 (4) Rs. 300

(5) None of these

42. A, B and C entered into a partnership with capitalsin the ratio 1 : 3 : 5. After 4 months, A investedthe same amount as before, and B as well as Cwithdraws half of their investments. The ratio oftheir profits at the end of the year is?

(1) 4 : 5 : 3 (2) 1 : 2 : 7

(3) 3 : 4 : 5 (4) 2 : 3 : 7

(5) None of these

43. P, Q and R enter into a partnership with a capitalin which P’s contribution is Rs. 10000. If out of atotal profit of Rs. 1000, P gets Rs. 500 and Q getsRs. 300, then R’s capital is?

(1) Rs. 1000 (2) Rs. 4000

(3) Rs. 11000 (4) Rs. 3000

(5) None of these

44. A, B and C enter into a partnership and their sharesare in the ratio (1/2) : (1/3) : (1/4). After 2 months,A withdraws half of his capital and after 10 months,a profit of Rs. 378 is divided among them. What isB’s share?

(1) Rs. 117 (2) Rs. 240

(3) Rs. 144 (4) Rs. 135

(5) None of these

45. A and B started a partnership business investingsome amount in the ratio 3 : 5. C joined them aftersix months with an amount equal to that of B. Inwhat proportion should the profit at the end of theyear be distributed among A, B and C?

(1) 4 : 9 : 7 (2) 6 : 10 : 5

(3) 3 : 5 : 2 (4) 6 : 9 : 7

(5) None of these

46. In a business, A and C invested amounts in theratio 2 : 1, whereas the ratio between amountsinvested by A and B was 3 : 2. If Rs. 157300 wastheir profits, how much amount did B receive?

(1) Rs. 12500 (2) Rs. 17501

(3) Rs. 15000 (4) Rs.12300

(5) None of these

47. A, B and C rent a pasture. A puts 10 oxen for 7months, B puts 12 oxen for 5 months and C puts15 oxen for 3 months for gazing. If the rent of thepasture is Rs. 175, then how much must C pay ashis share of rent?

(1) Rs. 65 (2) Rs. 75

(3) Rs. 60 (4) Rs. 67

(5) None of these

48. A, B and C hired a car for Rs. 520 and used it for7, 8 and 11 hours respectively. Hire charges paidby B were

(1) Rs. 565 (2) Rs. 456

(3) Rs. 150 (4) Rs. 160

(5) None of these

49. A, B and C entered into a partnership. A investsome money at the beginning, B invests doublethe amount after 6 months and C invests thricethe amount after 8 months. If the annual profit beRs. 27000, then C’s share is?

(1) Rs. 23000 (2) Rs. 24000

(3) Rs. 27000 (4) Rs. 30000

(5) None of these

50. If 4 (A’s capital) = 6 (B’s capital) = 10 (C’s capital),then out of a profit of Rs. 3520, C will receive?

(1) Rs. 4700 (2) Rs. 3200

(3) Rs. 1200 (4) Rs. 2900

(5) None of these

51. Three partners A, B and C start a business. TwiceA’s capital is equal to three B’s capital and B’scapital is four times C’s capital. Out of a total profitof Rs. 19,500 at the end of the year, B’s share is?

(1) Rs. 60000 (2) Rs.75000

(3) Rs.11500 (4) Rs.35000

(5) None of these

52. A, B and C subscribe Rs. 50,000 for a business. Asubscribes Rs 4000 more than B and B Rs 5000more than C. Out of a total profit of Rs 35000, Areceives?

(1) Rs. 28745 (2) Rs. 14075

(3) Rs. 45600 (4) Rs. 23411

(5) None of these

53. Two friends P and Q started partnership investingin the ratio of 5 : 6. R joined them after six monthsinvesting an amount equal to that of Q’s. At theend of the year, 20% profit was earned which wasequal to Rs. 98000. What was the amount investedby R?

(1) Rs. 119000 (2) Rs.230000

(3) Rs. 117045 (4) Rs.367800

(5) None of these

54. Three friends shared the profit in a business in theratio 5 : 7 : 8. They had invested for 14 months, 8months and 7 months respectively. What was theratio of their investments?

(1) 10 : 11 : 13 (2) 20 : 35 : 64

(3) 7 : 9 : 5 (4) 9 : 11 : 12

(5) None of these

55. A and B invested in a business in the ratio 3 : 2. If5% of the total profit goes to charity and A’s shareis Rs. 855, the total profit is?

(1) Rs. 1500 (2) Rs. 1730

(3) Rs. 2200 (4) Rs. 3432

(5) None of these

56. A and B are partners in a business. A contributes(1/4) of the capital for 15 months and B received(2/3) of the profit. For how long B’s money wasused?



(5) None of these

57. A, B and C invested Rs. 8000, Rs. 4000 and Rs.8000 respectively in a business. A left after sixmonths. If after eight months, there was a gain ofRs. 4000, then what will be the share of B?

(1) Rs. 810 (2) Rs. 540

(3) Rs. 710 (4) Rs. 890

(5) None of these

58. A and B started a business investing Rs. 20000and Rs.30000 respectively. Out of the total profitof Rs. 15000. Then A’s share is?

(1) Rs. 6000 (2) Rs. 4000

(3) Rs. 6100 (4) Rs. 5600

(5) None of these

59. A and B started a business in partnership investingRs. 20000 and Rs. 15000 respectively. After sixmonths, C joined them with Rs. 20000. What willbe B’s share in the total profit of Rs. 25000 earnedat the end of 2 years from the starting of thebusiness?

(1) Rs. 6300 (2) Rs. 7500

(3) Rs. 1100 (4) Rs. 3780

(5) None of these

60. Simran started a software business by investingRs. 50000. After six months, Nanda joined herwith capital of Rs. 80000. After 3 years, theyearned a profit of Rs. 24500. What was Simran’sshare in the profit?

(1) Rs. 11500 (2) Rs. 8000

(3) Rs. 9000 (4) Rs. 10500

(5) None of these

61. Kamal started a business investing Rs. 9000. Afterfive months, Sameer joined with a capital of Rs.8000. If at the end of the year, they earn a profitof Rs. 6970, then what will be the share of Sameerin the profit?

(1) Rs. 5050 (2) Rs. 7370

(3) Rs. 5500 (4) Rs. 3780

(5) None of these

62. Reena and Sheela are partners in a business.Reena invest Rs. 35,000 for 8 months and Sheelainvests Rs. 42000 for 10 months. Out of a profitof Rs. 31570, Reena’s share is?

(1) Rs. 56011 (2) Rs. 12628

(3) Rs. 45073 (4) Rs. 66781

(5) None of these

63. A, B, C enter into a partnership investing Rs.30,000, Rs, 40000 and Rs. 50000 respectively. Theres share B in an annual profit of Rs. 14400 are?

(1) Rs. 4800 (2) Rs. 3700

(3) Rs. 5100 (4) Rs. 3100

(5) None of these

64. Anand and Deepak started a business investingRs. 22500 and Rs 35000 respectively. Out of totalprofit of Rs. 13,800, Deepak’s share is?

(1) Rs. 9553.84 (2) Rs. 10708.55

(3) Rs. 12340 (4) Rs. 15000

(5) None of these

65. P and Q started a business investing Rs. 85000and Rs. 15000 respectively. In what ratio, the profitearned after 2 years be divided between P and Qrespectively?

(1) 5 : 1 (2) 9 : 5

(3) 13 : 3 (4) 11 : 7

(5) None of these

66. A invested Rs. 20000 in a business. After fewmonths, B joined him with Rs. 40000. At the endof the year, the total profit was divided betweenthem in the ratio 2 : 1. After how many months did

B join?



(5) None of these

67. P, Q and R enter into a partnership withinvestments of Rs. 3500, Rs. 4500 and Rs. 5500.In the first six months, profit is Rs. 405. What isP’s share in the profit?

(1) Rs.131 (2) Rs.105

(3) Rs.110 (4) Rs.122

(5) None of these

68. A and B invested in a trade. They earned someprofit which they divided in the ratio 2:3 of theirinvestment. If A invested Rs. 40, then the amountinvested by B is?

(1) Rs.74 (2) Rs.63

(3) Rs.50 (4) Rs.60

(5) None of these

69. Three partners altogether invested Rs. 114000 ina business. At the end of the year, one got Rs.337.50, the second Rs. 1,125 and the third Rs.675. What is the percentage of profit?

(1) 2.6 (2) 3

(3) 1.12 (4) 3.55

(5) None of these

70. A, B and C started a business by investing Rs.120000 Rs.135000 and Rs.150000 respectively.Find the share of A, out of an annual profit of Rs.56700?

(1) Rs.17701 (2) Rs.14800

(3) Rs.16800 (4) Rs.23015

(5) None of these

71. A certain amount was divided between A and Bin the ratio 4 : 3. If B’s share was Rs. 4800, thetotal amount was?

(1) Rs.11450 (2) Rs.11200

(3) Rs.17680 (4) Rs.15000

(5) None of these

72. A sum of Rs.53 is divided among A, B and C suchthat A gets Rs. 7 more than what B gets and Bgets Rs. 8 more than what C gets. The ratio oftheir shares is

(1) 7 : 3 : 1 (2) 5 : 1 : 2

(3) 11 : 2 : 3 (4) 15 : 11 : 7

(5) None of these

73. A, B and C enter into partnership. A invest 3 timesas much as B invest and B invests two-third ofwhat C invests. At the end of the year, the profitearned is Rs. 6600. What is the share of B?

(1) Rs. 1200 (2) Rs. 1340

(3) Rs. 1724 (4) Rs. 1422

(5) None of these

74. Four milkmen rented a pasture. A grazed 24 cowsfor 3 months, B 10 cows for 5 months, C 35 cowsfor 4 months and D 21 cows for 3 months. If A’sshare of rent is Rs. 720, find the total rent of thefield?

(1) Rs. 2730 (2) Rs. 3460

(3) Rs. 4400 (4) Rs. 3000

(5) None of these

75. A invested Rs. 76000 in a business. After fewmonths, B joined him with Rs. 57000. At the endof the year, the total profit was divided betweenthem in the ratio 2 : 1. After how many months didB join?



(5) None of these

ANSWERS

15. 516. 217. 118. 519. 220. 321. 122. 223. 224. 325. 126. 227. 328. 5

1. 12. 13. 54. 55. 36. 57. 28. 59. 110. 411. 412. 213. 514. 5

29. 430. 531. 532. 533. 234. 135. 336. 437. 238. 339. 240. 441. 542. 5

43. 244. 345. 246. 547. 348. 449. 250. 351. 152. 553. 554. 255. 156. 2

57. 458. 159. 260. 461. 562. 263. 164. 565. 366. 267. 268. 469. 570. 3

71. 272. 573. 174. 575. 1

TIME, WORK AND WAGES

1. Fifty six men can complete a piece of work in 24days. In how many days can 42 men completethe same piece of work?

(1) 18 days (2) 32 days

(3) 98 days (4) 48 days

(5) None of these

2. Four examiners can examine a certain number ofanswer papers in 10 days by working 5 hours aday. For how many hours a day would 2examiners have to work in order to examine twicethe number of answer papers in 20 days?

(1) 8 hours (2)1

72

hours

(3) 10 hours (4)1

82

hours

(5) None of these

3. ‘A’ can complete a piece of work in 12 days. ‘A’and ‘B’ together can complete the same piece ofwork in 8 days. In how many days can ‘B’ alonecomplete the same piece of work?

(1) 15 days (2) 18 days

(3) 24 days (4) 28 days

(5) None of these

4. 4 men, 5 women and 3 children together cancomplete a piece of work in 16 days. In howmany days can 10 women alone complete thepiece of work if 10 men alone can complete it in24 days?

(1) 18

(2) 15

(3) 12


(5) None of these

5. 15 men can do a piece of work in 6 days. Howmany men would be required to do the samework in 75 days?

(1) 10 (2) 16

(3) 12 (4) 20

(5) None of these

6. ‘A’ alone can complete a piece of work in 8 days.Work done by ‘B’ alone in one day is half of thework done by ‘A’ alone in one day. In how manydays can the work be completed if ‘A’ and ‘B’work together?

(1)1

62

(2)1

52

(3)1

53

(4)1

62

(5) None of these

7. 24 men can complete a piece of work in 16 days.The same work can be completed by 8 womenin 72 days, whereas 24 children take 32 days tocomplete it. If 10 men, 15 women and 24 childrenwork together, in how many days can the workbe completed?

(1) 18 days (2) 8 days

(3) 22 days (4) 12 days

(5) None of these

8. 8 men alone can complete a piece of work in 12days, 4 women alone can complete the samepiece of work in 48 days and 10 children alonecan complete the piece of work in 24 days. Inhow many days can 10 men, 4 women and 10children together complete the piece of work?

(1) 5 days (2) 15 days

(3) 28 days (4) 6 days

(5) None of these

9. ‘A’ can complete a piece of work in 12 days. ‘A’and ‘B’ together can complete the same piece ofwork in 4 days. In how many days can ‘B’ alonecomplete the same piece of work?

(1) 6 days (2) 8 days

(3) 15 days (4) 18 days

(5) None of these

10. 9 children can complete a piece of work in 360days. 18 men can complete the same piece ofwork in 72 days and 12 women can completethe piece of work in 162 days. In how many dayscan 4 men, 12 women and 10 children togethercomplete same the piece of work?

(1) 124 days (2) 81 days

(3) 68 days (4) 96 days

(5) None of these

11. A and B together can do a work in 8 days, B andC together in 6 days, while C and A together in10 days. If they all work together, then the workwill be completed in

(1)3

34

days (2)3

37

days

(3)1

53

days (4)1

62

days

(5) None of these

12. A work could be completed in 100 days by someworkers. However, due to the absence of 10workers, it was completed in 110 days. Theoriginal number of workers was

(1) 100 (2) 110

(3) 5 (4) 50

(5) None of these

13. A and B can do a piece of work in 12 days, Band C in 8 days and C and A in 6 days. Howlong would B take to do the same work alone?

(1) 24 days (2) 32 days

(3) 40 days (4) 48 days

(5) None of these

14. A completes 7

10 of a work in 15 days. He

completes the remaining work with the help of Bin 4 days. The time required for A and B togetherto complete the entire work is

(1)1

103

days (2) 2

123

days

(3)1

133

days (4)1

84

days

(5) None of these

15. A man a women and a boy can together completea piece of work in 3 days. If a man alone can doit in 6 days and a boy alone can do it in 18 days,how long will a woman alone take to completethe work?

(1) 9 days (2) 21 days

(3) 24 days (4) 27 days

(5) None of these

16. A and B can do a piece of work in 10 days, Band C in 15 days and A and C in 20 days. Calone can do the work in

(1) 60 days (2) 120 days

(3) 80 days (4) 30 days

(5) None of these

17. A can finish a work in 18 days and B can do thesame work in half the time taken by A. Then,working together what part of the same work canthey finish in a day?

(1)1

6(2)

2

5

(3)1

9(4)

2

7

(5) None of these

18. A and B can finish a piece of work in 30 days, B

and C can finish it in 15 days while C and A canfinish it in 10 days. Time taken by them togetherto do this work is

(1) 5 days (2)2

22

days

(3)1

72

days (4) 10 days

(5) None of these

19. A and B can together finish a work in 30 days.They worked together for 20 days and then Bleft. After another 20 days A finished the remainingwork. In how many days can A alone finish thejob?

(1) 50 days (2) 60 days

(3) 40 days (4) 65 days

(5) None of these

20. If 3 men or 4 women can plough a field in 43days, how long will 7 men and 5 women take toplough it?

(1) 10 days (2) 11 days

(3) 9 days (4) 12 days

(5) None of these

21. A can finish a work in 24 days, B in 9 days and Cin 12 days. B and C start the work but are forcedto leave after 3 days. The remaining work is doneby A in

(1) 5 days (2) 6 days

(3) 10 days (4) 10.5 days

(5) None of these

22. A can do a certain work in the same time in whichB and C together can do it. If A and B togethercould do it in 10 days and C alone in 50 days,then B alone could do the work in

(1) 15 days (2) 20 days

(3) 25 days (4) 30 days

(5) None of these

23. 10 men can complete a piece of work in 15 days

and 15 women can complete the same work in12 days. If all the 10 men and 15 women worktogether, in how many days will the work getcompleted?

(1) 6 days (2)2

73

days

(3)2

63

days (4) 5 days

(5) None of these

24. 25 men and 15 women can complete a piece ofwork in 12 days. All of them start workingtogether and after working for 8 days the womenstopped working. 25 men completed theremaining work in 6 days. How many days will ittake for completing the entire job if only 15women are put on the job?

(1) 60 days (2) 88 days

(3) 94 days (4) 50 days

(5) None of these

25. ‘A’ completes a work in 12 days. ‘B’ completesthe same work in 15 days. ‘A’ started workingalone and after 3 days B joined him. How manydays will they now take together to complete theremaining work?

(1) 5 (2) 8

(3) 6 (4) 4

(5) None of these

26. 10 men and 15 women finish a work in 6 days.One man alone finishes that work in 100 days. Inhow many days will a woman finish the work?

(1) 125 days (2) 150 days

(3) 90 days (4) 225 days

(5) None of these

27. The work done by a woman in 8 hours is equalto the work done by a man in 6 hours and by aboy in 21 hours. If working 6 hours per day 9men can complete a work in 6 days then in howmany days can 12 men, 12 women and 12 boystogether finish the same work working 8 hours

per day?

(1)1

13

days (2)2

33

days

(3) 3 days (4)1

12

days

(5) None of these

28. Seven men and four boys can complete a workin 6 days. A man completes double the work thana boy. In how many days will 5 men and 4 boyscomplete the work?

(1) 5 days

(2) 4 days

(3) 6 days


(5) None of these

29. Vinod can complete a job in 15 hours. Vinay alonecan complete the same job in 10 hours. Vinodworks for 9 hours and then the remaining job iscompleted by Vinay. How many hours will it takeVinay to complete the remaining job alone?

(1) 4 hrs (2) 5 hrs

(3) 6 hrs (4) 2 hrs

(5) None of these

30. Ram can do a certain work in 15 days whileChandan can do it in 25 days. Both work togetherand finish the work. In what ratio should the totalearnings be divided between them?

(1) 3 : 5 (2) 2 : 5

(3) 5 : 2 (4) 5 : 3

(5) None of these

31. A, B and C can do a work in 4, 6 and 10 daysrespectively. They finish the work together andearn Rs 310. What is the share of each?

(1) Rs 150, Rs 100, Rs 60

(2) Rs 140, Rs 110, Rs 60

(3) Rs 160, Rs 90, Rs 60

(4) Rs 150, Rs 110, Rs 50

(5) None of these

32. A, B and C contract to do a work for Rs 4200.A can do the work in 6 days, B in 10 days and Cin 12 days. If they work together to do the work,what is the share of C?

(1) Rs 2000 (2) Rs 1200

(3) Rs 1000 (4) Rs 1500

(5) None of these

33. A, B and C contract to do a work for Rs 6500.A can do the work in 10 days, B in 15 days andC in 20 days. If they work together to do thework, what is the share of B?

(1) Rs 200 (2) Rs 3000

(3) Rs 1500 (4) Rs 2500

(5) None of these

34. Ram can do a work in 20 days. Ram and Shyamtogether do the same work in 15 days. If theyare paid Rs 400 for that work, what is the shareof each?

(1) Rs 300, Rs 100 (2) Rs 200, Rs200

(3) Rs 250, Rs 150 (4) Rs 350, Rs 50

(5) None of these

35. Suresh can do a work in 15 days. Suresh andRamesh together do the same work in 10 days.If they are paid Rs 1500 for the work, how shouldthe money be divided between them?

(1) Rs 1000, Rs 500

(2) Rs 700, Rs 800

(3) Rs 1200, Rs 300

(4) Rs 800, Rs 500

(5) None of these

36. Two men undertake to do a piece of work for Rs200. One alone could do it in 6 days, the other 8days. With the assistance of a boy they finish it in3 days. Find the share of the boy.

(1) Rs 25 (2) Rs 100

(3) Rs 75 (4) Rs 50

(5) None of these

37. A and B contract to do a work together for Rs300. A alone can do it in 8 days and B alone in12 days. But with the help of C they finish it in 4days. Find the share of C.

(1) Rs 30 (2) Rs 60

(3) Rs 100 (4) Rs 50

(5) None of these

38. A, B and C undertake to do a work for Rs 660.

A and B together do 8

11 of the work and rest is

done by C alone. How much should C get?

(1) Rs 200 (2) Rs 160

(3) Rs 180 (4) Rs 190

(5) None of these

39. If the wages of 45 women amount to Rs 46575in 48 days, how many men must work 16 days

to receive Rs 17250, the daily wages of a manbeing double than those of a woman?

(1) 20 men (2) 25 men

(3) 30 men (4) 15 men

(5) None of these

40. Wages of 10 women for 5 days is Rs 1250. Thedaily wage of a man is twice that of a woman.How many men must work for 8 days to earn Rs1600?

(1) 5 men (2) 8 men

(3) 4 men (4) 6 men

(5) None of these

41. A, B and C together earn Rs 2700 in 18 days. Aand C together earn Rs 940 in 10 days. B and Ctogether earn Rs 1520 in 20 days. Find the dailyearning of C.

(1) Rs 20 (2) Rs 40

(3) Rs 10 (4) Rs 15

(5) None of these

42. A, B and C together earn Rs 640 in 8 days. Aand C together earn Rs 250 in 5 days. B and Ctogether earn Rs 420 in 6 days. Find the dailyearning of C.

(1) Rs 60 (2) Rs 50

(3) Rs 80 (4) Rs 40

(5) None of these

43. A, B and C together earn Rs 1500 in 10 days. Aand C together earn Rs 800 in 8 days. B and Ctogether earn Rs 900 in 9 days. Find the dailyearning of B.

(1) Rs 50 (2) Rs 60

(3) Rs 40 (4) Rs 30

(5) None of these

44. A man and a boy received Rs 800 as wages for5 days for the work they did together. The man’sefficiency in the work was three times that of theboy. What are the daily wages of the boy?

(1) Rs 76 (2) Rs 56

(3) Rs 44 (4) Rs 40

(5) None of these

45. A and B undertook to do a piece of work for Rs4500. A alone could do it in 8 days and B alonein 12 days. With the assistance of C they finishedthe work in 4 days. Then C’s share of the moneyis

(l) Rs 2250 (2) Rs l500

(3) Rs 750 (4) Rs 375

(5) None of these

46. A does a work in 10 days and B does the samework in 15 days. In how many days will theyfinish the work when working together?

(1) 7 (2) 8

(3) 6 (4) 5

(5) None of these

47. A can finish the work in 18 days and B can dothe same work in half the time taken by A. Whenworking together what part of the work is donein a day?

(1)1

6th (2)

1

7th

(3)1

4th (4)

1

9th

(5) None of these

48. A tyre has two punctures. The first puncture wouldhave made the tyre flat in 9 minutes and the secondalone would have done it in 6 minutes. If air leaksout at constant rate , how long does it take tomake the tyre flat by both the punctures?

(1) 5 days (2)17

3 days

(3) 4 days (4)18

3 days

(5) None of these

49. A , B and C can finish the work in 26 , 6 and 12respectively. In how many days can they finishthe work if they work together ?

(1)24

7days (2) 5 days

(3) 2 days (4)30

3 days

(5) None of these

50 A man can do a job in 15 days. His father takes20 days and his son takes 25 days to finish thework.In how many days can they finish the workif they work together?

(1) 5 days (2) 6.4 days

(3) 2 days (4) 4 days

(5) None of these

51. A man can do a piece of work in 5 days but withthe help of his son , he can do it in 3 days. In how

many days can the son alone finish the work?

(1) 3.5 days (2) 6 days

(3) 3 days (4) 7.5 days

(5) None of these

52. A can lay railway track between two given stationsin 16 days and B can do the same job in 12 days.With the help of C , they do the job in 4 daysonly. Then C alone can do the job in

(1) 5 days (2) 6 days

(3) 7 days (4) 8 days

(5) None of these

53. A takes twice as much times as B or thrice asmuch time to finish a piece of work. Workingtogether , they can finish the work in 2 days. Balone can do the same work in

(1) 3 hrs (2) 4 hrs

(3) 6 hrs (4) 2 hrs

(5) None of these

54. X can do one-fourth of a work in 10 days , Y cando 40% of the work in 40 days and Z can doone-third of the work in 13 days. Who willcomplete the work first ?

(1) X

(2) Z

(3) Y

(4) Data inadequate

(5) None of these

55. P, Q and R are three typists who workingsimultaneously can type 216 pages in 4 hours. Inone hour , R can type as many pages more thanQ as Q can type more than R During a period of5 hours , R can type as many pages as P canduring seven hours. How many pages does eachof them type per hour ?

(1) 15,20,21 (2) 15,18,21

(3) 12,17,30 (4) 12,17,28

(5) None of these

56. Ajay and Rahul are working on an assignment.Ajay takes 6 hours to type 32 pages on acomputer , while Rahul takes 5 hours to type 40pages. How much time will they take , workingtogether on two different computers to type anassignment of 110 pages ?

(1) 5 hrs (2) 6 hrs

(3) 7 hrs (4) 8.25 hrs

(5) None of these

57. Two workers A and B are engaged to do a work.A working alone takes 8 hours more to completethe job than if both worked together. If B workedalone , he would need 4.5 hours more to completethe job than they both working together. Whattime would they take to do the work together ?

(1) 6 hrs (2) 3 hrs

(3) 8 hrs (4) 7 hrs

(5) None of these

58. P can complete a work in 12 days working 8hours a day. Q can complete the same work in 8days working 10 hours a day. If both P and Qwork together , working 8 hours a day , in howmany days can they finish the work ?

(1)6

611

days (2)5

511

days

(3)4

511

days (4)3

44

days

(5) None of these

59. A and B can do a work in 12 days , B and C in15 days , C and A in 20 days. If all the threework together ,how much time will they take?

(1) 16 days (2) 13 days

(3) 15 days (4) 12 days

(5) None of these

60. A and B can do a work in 8 days , B and C cando the same in 12 days. If A ,B and C togethercan finish the work in 6 days, then A and C willdo the same work in

(1) 5 days (2) 8 days

(3) 10 days (4) 6 days

(5) None of these

61. A and B can do a piece of work in 72 days. Band C can do it in 120 days , A and C can do it in90 days. In what time can A alone do it ?

(1) 140 days (2) 70 days

(3) 100 days (4) 120 days

(5) None of these

62. A and B can do a piece of work inn 5 days , Band C can do it in 7 days , A and C can do it in 4days. Who among these will take the least time ifput to do it alone ?

(1) A

(2) B

(3) C

(4) Data inadequate

(5) None of these

63. A can do a piece of work in 4 hours , B and Ctogether can do it in 3 hours while A and Ctogether can do it in 2 hours. How long will Balone take to do it ?

(1) 10 days (2) 12 days

(3) 14 days (4) 16 days

(5) None of these

64. A works as fast as B. If B alone can completethe work in 12 days , the number of days in whichA and B together can complete the work is

(1) 6 days (2) 5 days

(3) 4 days (4) 8 days

(5) None of these

65. A is twice as good a workman as B and togetherthey finish a piece of work in 14 days. The numberof days taken by A alone to finish the work is

(1) 21 days (2) 18 days

(3) 25 days (4) 16 days

(5) None of these

66. A and B can do a job together in 7 days. A is 3

14

times as efficient as B. The same job can be doneby A alone in

(1) 10 days (2) 12 days

(3) 8 days (4) 11 days

(5) None of these

67. Sakshi can do a piece of work in 20 days. Tanyais 25% more efficient than Sakshi. The numberof days taken by Tanya to do the same piece ofwork is

(1) 12 days (2) 10 days

(3) 16 days (4) 15 days

(5) None of these

68. A is 30% more efficient than B. How much timewill they, working together, take to complete ajob which A alone could have done in 23 days ?

(1) 16 days (2) 15 days

(3) 10 days (4) 13 days

(5) None of these

69. A does half as much as B in three-fourth of thetime. If together they take 18 days to completethe work , how much time shall B take to do it?

(1) 40 days (2) 30 days

(3) 25 days (4) 20 days

(5) None of these

70. Two workers A and B working togethercompleted a job in 5 days. If A worked twice asefficiently as he actually did and B worked one-third as efficiently as he actually did , the workwould have been completed in 3 days. A alonewould complete the work in

(1)25

4 days (2)

19

3 days

(3)5

511

days (4)17

6 days

(5) None of these

71. A can do a work in 15 days and B in 20 days. Ifthey work on it together for 4 days , then thefraction of the work that is left is

(1)7

15(2)

7

16

(3)6

17(4)

8

15

(5) None of these

72. A can finish a work in 18 days and B can do thesame in 15 days. B worked for 10 days and leftthe job. In how many days , A alone can finishthe remaining work ?

(1) 5 days (2) 6 days

(3) 4 days (4) 8 days

(5) None of these

73. A and B can complete a work in 15 and 10 daysrespectively. They started doing the work togetherbut after 2 days , B had to leave and A alonecompleted the remaining work. The whole workwas completed in

(1) 14 days (2) 11 days

(3) 16 days (4) 12 days

(5) None of these

74. A can finish a work in 24 days , B in 9 days andC in 12 days. B and C start the work but areforced to leave after 3 days. The remaining workwas done by A in

(1) 15 days (2) 12 days

(3) 10 days (4) 17 days

(5) None of these

75. A and B can together finish a work in 30 days.They worked together for 20 days and then Bleft. After another 20 days, A finished the remainingwork. In how many days A alone can completethe job ?

(1) 30 days (2) 80 days

(3) 40 days (4) 50 days

(5) None of these

76. If persons A, B, C, D, E and F take 1, 2, 3, 4, 5and 6 days respectively to complete a work whenworking individually. If all of them get Rs. 10000in total, then what is the share of person D in theamount?

(1) Rs. 820 (2) Rs. 1020.40

(3) Rs. 1000 (4) Rs. 920.50

(5) None of these

77. If X, Y, Z and W get Rs.100. Rs.300, Rs.350and Rs.200 respectively for completing a workas a team, then what is ratio of days in which theywould have completed the work?

(1) 42 : 14 : 12 : 21 (2) 41 : 14 : 21 :13

(3) 42 : 14 : 12 : 23 (4) 3 : 4 : 5 : 6

(5) None of these

78. A and B are working together and complete thejob in 50 days. It is also known that B is 20%less efficient than A. If the contract of the work isRs.5400, then what is the share of A and B in theamount?

(1) Rs. 3000, Rs. 2400

(2) Rs. 2500, Rs. 2000

(3) Rs. 3500, Rs. 2400

(4) Rs. 3000, Rs. 2000

(5) None of these

79. Inder, Rishu and Shikha, working individually cancomplete a work in 5, 10 and 25 days respectively.What is the share of Rishu in the amount if theyget Rs 6800 for the work?

(1) Rs. 2500 (2) Rs. 2000

(3) Rs. 3000 (4) Rs. 4000

(5) None of these

80. Two men undertake to do a piece of work forRs. 3200. First man alone can do this in 15 dayswhile the second man alone can do this work in16 days. If they work together to complete thiswork in 8 days with the help of a boy, what is the

share of the boy

(1) Rs. 600 (2) Rs. 300

(3) Rs. 250 (4) Rs. 100

(5) None of these

81. If persons A,B,C,D,E and F take 1,2,2,4,5 and8 days to complete a work. If all of them get Rs.12360 in total, then what is the share of personD in the amount?

(1) Rs. 2000 (2) Rs. 1500

(3) Rs. 1200 (4) Rs. 1800

(5) None of these

82. Anil can do a piece of work in 30 days, whileBinu alone can do it in 15 days. They worktogether for 5 days and rest of the work is doneby Chander. Chander is 20 % more efficient thanAnil. If they get Rs 21,000 for the whole work,how should they divide the money?

(1) Rs. 5000, Rs. 10,000, Rs. 6,000

(2) Rs. 5000, Rs. 12,000, Rs. 4,000

(3) Rs. 6000, Rs. 5000, Rs. 12000

(4) Rs. 4000

(5) None of these

83. Hemant can finish a job in 3 days and with thehelp of his brother, he can finish it in 15 days. Ifboth of them get Rs.1200 for the job, then whatis the share of each of the brothers?

(1) Rs. 300, Rs. 900

(2) Rs. 400, Rs. 800

(3) Rs. 600, Rs. 600

(4) Rs. 700, Rs. 500

(5) None of these

84. A can do a piece of work in 10 days, while Balone can do it in 15 days. They work togetherfor 5 days and rest of the work is left undone. Ifthey get Rs 550 for their part of work, how shouldthey divide the money?

(1) Rs. 325, Rs. 225

(2) Rs. 330, Rs. 220

ANSWERS

17. 118. 419. 220. 421. 322. 323. 324. 525. 526. 427. 428. 529. 130. 431. 132. 3

1. 22. 33. 24. 45. 36. 37. 48. 49. 210. 411. 112. 213. 414. 315. 116. 2

33. 134. 135. 136. 137. 438. 339. 240. 341. 142. 143. 144. 445. 346. 347. 148. 4

49. 150. 251. 452. 553. 354. 255. 256. 457. 158. 259. 560. 261. 462. 163. 264. 3

65. 166. 467. 368. 469. 270. 171. 472. 273. 474. 375. 576. 277. 178. 179. 280. 4

81. 382. 183. 384. 285. 186. 287. 4

(3) Rs. 400, Rs. 150

(4) Rs. 300, Rs. 250

(5) None of these

85. Rahim and Salim decide to do a piece of workfor Rs.3000. Rahim alone can do this in 9 dayswhile Salim alone can do this work in 10 days. Ifthey work together to complete this work in 6days with the help of 2 boys, how would themoney be divided?

(1) Rs. 2000, Rs. 1800, Rs. 2000

(2) Rs. 1900, Rs. 19000, Rs. 2000

(3) Rs. 1600, Rs. 2000, Rs. 2200

(4) Data inadequate

(5) None of these

86. 10 boys are given a piece of work for Rs. 5005.Each boy alone can do this in 20 days exceptone who can do it in 10 days. If they worktogether to complete this work in 8 days, thenthe boy who is the most efficient will get

(1) Rs. 1000 (2) Rs. 890

(3) Rs. 2550 (4) Rs. 990

(5) None of these

87. A can do a piece of work in 20 days and B is50% less efficient than A. They work togetherfor 5 days and rest of the work is done by C in 7days. If they get Rs 5050 for the whole work,then what is the share of C?

(1) Rs. 1010

(2) Rs.1515

(3) Rs. 2525

(4) Data inadequate

(5) None of these

PIPE AND CISTERNS

1. A pipe can fill a cistern in 25 hours. Find the partof tank filled in 5 hours.

(1)1

25(2)

1

5

(3)1

10(4)

1

15

(5) None of these

2. A pipe can empty a cistern in 27 hours. Find the

time in which 2

3 part of the cistern will be empited.

(1) 19 hours (2) 12 hours


(5) None of these

3. A water tank is 2

5 th full. Pipe A can fill the tank

in 10 minutes and the pipe B can empty it in 6minutes. If both the pipes are open, how long willit take to empty or fill the tank completely?

(1) 6 minutes to empty

(2) 6 minutes to fill



(5) None of these

4. A cistern which could be filled in 9 hours takesone hour more to be filled owing to a leak in itsbottom. If the cistern is full, in what time will theleak empty it?



(5) None of these

5. A tap can fill a tank in 25 minutes and anothercan empty it in 50 minutes. If the tank is alreadyhalf full and both the taps are opened together,the

(1) tank is emptied in 20 minutes

(2) tank is filled up in 25 minutes

(3) tank is filled up in 20 minutes

(4) tank is emptied in 25 minutes

(5) None of these

6. A pipe can empty a tank in 15 hrs and anotherpipe can empty it in 10 hrs. If both the pipes areopened simultaneously, find the time in which afull tank is emptied.



(5) None of these

7. Two pipes A and B can fill a tank in 30 minutesand 15 minutes respectively. If both the pipes areopened simultaneously, how much time will betaken to fill the tank?

(1) 10 minutes (2) 12 minutes


(5) None of these

8. There is a leak in the bottom of a cistern. Whenthe cistern is thoroughly repaired, it would be filledin 12 minutes. It now takes 18 minutes longer. Ifthe cistern is full, how long would the leak take toempty the cistern?



(5) None of these

9. There is a leak in the bottom of a cistern. Whenthe cistern is thoroughly repaired, it would be filledin 8 hours. It now takes 12 hours. If the cistern isfull, how long would the leak take to empty thecistern?



(5) None of these

10. Tap A can fill a water tank in 25 minutes, tap Bcan fill the same tank in 40 minutes and tap C canempty the tank in 30 minutes. If all the three tapsare opened together, in how many minutes willthe tank be completely filled up or emptied?

(1)2

313

(2)5

1513

(3)2

813

(4)11

3119

(5) None of these

11. Two pipes A and B can fill a cistern in 12 minutesand 15 minutes respectively. There is also an outletC. If all the three pipes are opened together, thetank is full in 10 minutes. How much time will betaken by C to empty the full tank?

(1) 10 min

(2) 20 min

(3) 15 min

(4) Data inadequate

(5) None of these

12. Two pipes A and B can fill a cistern in 24 minutesand 30 minutes respectively. There is also an outletC. If all the three pipes are opened together, thetank is full in 20 minutes. How much time will betaken by C to empty the full tank?

(1) 30 min (2) 40 min

(3) 45 min (4) 1 hour

(5) None of these

13. Two pipes A and B can fill a tank in 12 minutesand 16 minutes respectively. If both the pipes areopened simultaneously, after how much timeshould B be closed so that the tank is full in 9minutes?

(1) 8 min (2) 6 min

(3) 4 min (4) 10 min

(5) None of these

14. Two pipes A and B can fill a tank in 36 minutesand 48 minutes respectively. If both the pipes areopened simultaneously, after how much timeshould B be closed so that is full in 27 minutes?

(1) 10 min (2) 12 min

(3) 14 min (4) 16 min

(5) None of these

15. Two pipes A and B can separately fill in 15 and10 minutes respectively and a waste pipe C cancarry off 7 litters per minute. If all the pipes areopened when the cistern is full, it is emptied in 2hours. How many litres does the cistern hold?

(1) 40 litres (2) 20 litres


(5) None of these

16. Two pipes A and B can separately fill in 30 and20 minutes respectively and a waste pipe C cancarry off 6 litres per minute. If all the pipes areopened when the cistern is full, it is emptied in 60minutes. How many litres does the cistern hold?



(5) None of these

17. Pipe A can fill a tank in 5 hours, pipe B in 10hours and pipe C in 30 hours. If all the pipes areopen, then the tank will be filled in

(1) 12 hrs (2) 5 hrs

(3) 3 hrs (4) 4 hrs

(5) None of these

18. A tank can be filled by a tap in 4 hours while itcan be emptied by another tap in 9 hours. If boththe taps are opened simultaneously, then after howmuch time will the cistern get filled?

(1) 7 hrs (2) 5 hrs

(3) 6 hrs (4) 7.2 hrs

(5) None of these

19. Pipes A, B. and C can fill a tank in 12, 15 and 20hours respectively. If A is open all the time and Band C are open for one hour each alternately, thetank will be full in

(1) 5 hrs (2) 6 hrs

(3) 7 hrs (4) 8 hrs

(5) None of these

20. Two pipes can fill a tank in 10 hours and 12 hoursrespectively, while the third can empty it in 20hours. If all the pipes are opened together, thenthe tank will be filled in

(1) 9 hrs (2) 8 hrs

(3) 6 hrs (4) 7.5 hrs

(5) None of these

21. A tap can fill a cistern in 8 hours and another canempty it in 16 hours. If both the taps are openedsimultaneously, the time to fill the cistern will be

(1) 6 hrs (2) 3 hrs

(3) 5.33 hrs (4) 4 hrs

(5) None of these

22. Two pipes A and B together can fill a tank in 4hours. Had they been opened separately, then Bwould have taken 6 hours more than A to fill thecistern. How much time will be taken by A to fillthe cistern separately?

(1) 6 hrs (2) 8 hrs

(3) 7 hrs (4) 9 hrs

(5) None of these

23. Two pipes can fill a cistern in 20 and 24 minutes

respectively and an outlet pipe can empty 3gallons per minute. All the three pipes workingtogether can fill the tank in 15 minutes. Thecapacity of the tank is

(1) 110 gallons (2) 100 gallons

(3) 80 gallons (4) 120 gallons

(5) None of these

24. Two pipes can fill the tank in 12 hours and 15hours respectively. A third pipe can empty it in20 hours. If the tank is empty and all the threepipes are opened, then the tank will be full (inhours)

(1) 12 hrs (2) 10 hrs

(3) 15 hrs (4) 8 hrs

(5) None of these

25. Pipes A and B can fill a tank in 5 and 6 hoursrespectively. Pipe C can empty it in 12 hours. Ifall the three pipes are opened together, then thetank will be filled in

(1) 30 hrs (2) 20 hrs

(3) 15 hrs (4) 25 hrs

(5) None of these

26. Two pipes A and B can fill a tank in 15 minutesand 20 minutes respectively. Both the pipes areopened together but after 4 minutes, pipe A isturned off. What is the total time required to fillthe tank?

(1) 8 hrs (2) 10 hrs

(3) 12 hrs (4) 7 hrs

(5) None of these

27. A pump can fill a tank with water in 2 hours.Because of a leak, it took 2.5 hours to fill thetank. The leak can drain all the water of the tankin

(1) 9 hrs (2) 8 hrs

(3) 7 hrs (4) 10 hrs

(5) None of these

28. Two pipes A and B can fill a tank in 20 and 30minutes respectively. If both the pipes are usedtogether, then how long will it take to fill the tank?



(5) None of these

29. Two inlet pipes take 10 minutes and 20 minutesto fill the tank. But they take 25 min to fill itbecause of a leak. How much time would theleak take to empty a full tank?

(1)1

911

minutes

(2) 100 minutes

(3) 10 minutes

(4)1

211

minutes

(5) None of these

30. One tap can fill a cistern in 2 hours and anothercan empty the cistern in 3 hours. How long willthey take to fill the cistern if both the taps areopened?


(3) 6.30 hours (4) 8 hours

(5) None of these

31. A tap can fill a tank in 25 minutes and anothercan empty it in 50 minutes. Find whether the tankwill be filled up or emptied and in how manyminutes?

(1) Tank is filled up in 50 minutes

(2) Tank is empted in 25 minutes

(3) Tank is filled up in 25 minutes

(4) Take is filled up in 20 minutes

(5) None of these

32. A water tank is 2

5 th full. Pipe A can fill the tank

in 10 minutes and the pipe B can empty it in 6minutes. If both the pipes are open, how long willit take to empty or fill the tank completely?





(5) None of these

33. Two taps A and B can fill a tank in 10 hours and15 hours, respectively. If both the taps are openedtogether the tank will be full in



(5) None of these

34. Two pipes A and B can separately empty a cisternin 12 hours and 15 hours, respectively. In whattime will the cistern be emptied, if both the pipesare opened together?

(1) 5 hours 30 minutes

(2) 7 hours



(5) None of these

35. Two pipes can fill a tank in 10 hours and 12 hours,respectively. While a third pipe emptied the fulltank in 20 hours. If all the three pipes operatesimultaneously, in how much time the tank will befilled?





(5) None of these

36. Three pipes A, B and C can fill a cistern in 10, 12and 15 hours, respectively, while working alone.

If all the three pipes are opened together, the timetaken to fill the cistern will be



(5) None of these

37. Two pipes A and B can fill a cistern in 24 minutesand 30 minutes, respectively. There is also an outletC. If all the three pipes are opened together, thecistern is full in 20 minutes. How much time willbe taken by C to empty the full cistern?



(5) None of these

38. A cistern is normally filled in 8 hours but takes 2hours longer to fill because of a leak in its bottom.If the cistern is full, the leak will empty it in



(5) None of these

39. A cistern has a leak which would empty in 8 hours.A tap is truned on which admits 6 litres a minuteinto the cistern and it is now emptied in 12 hours.The cistern can hold

(1) 6840 litres (2) 7860 litres

(3) 8640 litres (4) 6850 litres

(5) None of these

40. If two pipes function simultaneously, the reservourwill be filled in 12 hours. One pipe fills thereservoir 10 hours faster than the other. Howmany hours does the faster pipe take to fill thereservoir?



(5) None of these

41. One fill pipe A is 3 times faster than second fillpipe B and takes 32 minutes less than the fill pipeB. When will the cistern be full if both pipes areopened together?

(1) 28 minutes

(2) 24 minutes

(3) 30 minutes

(4) Data inadequate

(5) None of these

ANSWERS8. 19. 210. 411. 212. 213. 314. 2

1. 22. 43. 14. 35. 26. 27. 1

15. 116. 317. 318. 419. 120. 421. 3

22. 123. 124. 225. 126. 227. 428. 2

29. 130. 131. 132. 233. 234. 335. 1

36. 137. 238. 339. 340. 241. 2

SPEED, TIME & DISTANCE

1. A man covers a certain distance by car driving at30 km/hr and he returns back to the starting pointriding on a scooter at 20 km/hr. Find his averagespeed for the whole journey.

(1) 24 km/hr (2) 26 km/hr

(3)2

363

km/hr (4) 2

263

km/hr

(5) None of these

2. On a tour a man travels at the rate of 64 km anhour for the first 160 km, then travels the next 160km at the rate of 80 km an hour. The averagespeed in km per hour for the first 320 km of thetour, is

(1) 35.55 km/hr (2) 71.11 km/hr

(3) 36 km/hr (4) 72 km/hr

(5) None of these

3. A man covers a certain distance between his houseand office on scooter. Having an average speedof 30 km/hr, he is late by 10 min. However, with aspeed of 40 km/hr, he reaches his office 5 minearlier. Find the distance between his house andoffice.

(1) 10 km (2) 20 km

(3) 30 km (4) 35 km

(5) None of these

4. A boy walking at a speed of 10 km/hr reaches hisschool 15 minutes late. Next time he increases hisspeed 2 km/ hr, but still he is late by 5 minutes.Find the distance of his school from his house.

(1) 8 km (2) 5 km

(3) 10 km (4) 15 km

(5) None of these

5. A boy walking at a speed of 15 km/hr reaches hisschool 20 minutes late. Next time he increases hisspeed 5 km/hr, but still he is late by 10 minutes.Find the distance of his school from his house.

(1) 15 km (2) 10 km

(3) 18 km (4) 20 km

(5) None of these

6. A boy goes to school at a speed of 3 km/hr andreturns to the village at a speed of 2 km/hr. If hetakes 5 hrs in all, what is the distance between thevillage and the school?

(1) 5 km (2) 10 km

(3) 3 km (4) 6 km

(5) None of these

7. A motor car does a journey in 27 hrs, the first halfat 14 km/hr and the second half at 13 km/hr. Findthe distance.

(1) 264 km (2) 351 km

(3) 251 km (4) 210 km

(5) None of these

8. The distance between two stations A and B is 900km. A train starts from A and moves towards B atan average speed of 30 km/hr. Another train startsfrom B, 20 minutes earlier than the train at A, andmoves towards A at an average speed of 40 km/hr. How for from A will the two trains meet?

(1) 380 km (2) 320 km

(3) 240 km (4) 230 km

(5) None of these

9. Walking 23

of his usual speed, a person is 15 min

late to his office. Find his usual time to cover thedistance.



(5) None of these

10. Walking 13

of his usual speed, a person is 12 min

late to his office. Find his usual time to cover thedistance.

(1) 36 minutes

(2) 18 minutes

(3) 6 minutes


(5) None of these

11. Two men A and B walk from P to Q, a distance of21 km, at 3 and 4 km an hour respectively. Breaches Q, returns immediately and meets A atR. Find the distance from P to R.

(1) 15 km (2) 20 km

(3) 18 km (4) 12 km

(5) None of these

12. One aeroplane started 30 minutes later than thescheduled time from a place 1500 km away fromits destination. To reach the destination at thescheduled time the pilot had to increase the speedby 250 km/hr. What was the speed of theaeroplane per hour during the journey?

(1) 250 km/hr (2) 500 km/hr

(3) 600 km/hr (4) 750 km/hr

(5) None of these

13. A man covers a certain distance on scooter. Hadhe moved 3 km/hr faster, he would have taken 40minutes less. If he had moved 2 km/hr slower, hewould have taken 40 minutes more. Find thedistance in km and original speed.

(1) 30 km/hr (2) 40 km/hr

(3) 25 km/hr (4) 35 km/hr

(5) None of these

14. A car finishes a journey in 10 hours at the speedof 80 km/hr. If the same distance is to be coveredin 8 hours how much more speed does the carhave to gain?

(1) 8 km/hr (2) 10 km/hr

(3) 20 km/hr (4) 16 km/hr

(5) None of these

15. A person wants to plant trees at the edge of acircular field of radius 21 km at every 6 km of thedistance. Find the no. of trees he will have to buyfor this purpose.

(1) 21

(2) 22

(3) 23

(4) Data inadequate

(5) None of these

16. Suresh started cycling along the boundaries of asquare field from corner point A. After half anhour, he reached the corner point C, diagonallyopposite to A. If his speed was 8 km per hour, thearea of the field in square km is

(1) 64 km2

(2) 8 km2

(3) 4 km2


(5) None of these

17. Two trains start at the same time from Aligarhand Delhi and proceed towards each other at therate of 16 km and 21 km per hour respectively.When they meet, it is found that one train hastravelled 60 km more than the other. The distancebetween two stations is

(1) 445 km/hr (2) 444 km/hr

(3) 440 km/hr (4) 450 km/hr

(5) None of these

18. Raman drove from home to a neighbouring townat the speed of 50 km/hr and on his returningjourney, he drove at the speed of 45 km/h and alsotook an hour longer to reach home. What distancedid he cover each way?

(1) 450 km (2) 225 km

(3) 900 km (4) 500 km

(5) None of these

19. Pratibha covers a distance of 24 km at the speedof 8 km/hr and a distance of 18 km at the speed of9 km/hr. Further, she covers a distance of 12 kmat the speed of 3 km/hr. What is her average speedin covering the whole distance?

(1) 8 km/hr (2) 5.5 km/hr

(3) 3 km/hr (4) 6 km/hr

(5) None of these

20. A man walks at the speed of 5 km/hr and runs atthe speed of 10 km/hr. How much time will theman require to cover the distance of 28 km, if he

covers half (first 14 km) his journey walking andhalf his journey running?

(1) 8.4 hr (2) 6 hr

(3) 5 hr (4) 4.2 hr

(5) None of these

21. A car covers the first 35 km of its journey in 45minutes and the remaining 69 km in 75 minutes.What is the average speed of the car?

(1) 42 km/hr (2) 50 km/hr

(3) 52 km/hr (4) 60 km/hr

(5) None of these

22. Milind takes as much time in running 15 metres asa car takes in covering 40 metres. What will bethe distance covered by Milind during the time thecar covers 2 km?

(1) 1000 metres (2) 600 metres

(3) 650 metres (4) 750 metres

(5) None of these

23. A 150 metre long train crosses a platform of equallength in 15 seconds. What is the speed of thetrain?

(1) 22 metres/second




(5) None of these

24. A car covers the first 30 km of its journey in 45minutes and the remaining 25 km in 35 minutes.What is the average speed of the car?

(1) 40 km/hr (2) 64 km/hr

(3) 49 km/hr (4) 48 km/hr

(5) None of these

25. A train running at speed of 120 km/h crosses asignal post in 15 seconds. What is the length ofthe train in metres?

(1) 300

(2) 200

(3) 500


(5) None of these

26. A car finishes a journey in ten hours at the speedof 80 km/hr. If the same distance is to be coveredin eight hours how much more speed does the carhave to gain?

(1) 8 km/hr (2) 10 km/hr

(3) 12 km/hr (4) 16 km/hr

(5) None of these

27. Train ‘A’ leaves Mumbai Central for Lucknow at11 am, running at the speed of 60 km/hr. Train ‘B’leaves Mumbai Central for Lucknow by the sameroute at 2 pm on the same day, running at the speedof 72 km/hr. At what time will the two trains meeteach other?

(1) 2 am on the next day

(2) 5 am on the next day

(3) 5 pm on the next day

(4) 2 pm on the next day

(5) None of these

28. Train A and B are travelling on the same routeheading towards the same destination. Train B hasalready covered a distance of 220 km before trainA started. The two trains meet each other 11 hoursafter the start of train A. Had the trains beentravelling towards each other (from a distance of220 km), they would have met after one hour. Whatis the speed of train B in km/hr?

(1) 100 km/hr

(2) 180 km/hr

(3) 116 km/hr

(4) Data inadequate

(5) None of these

29. The speed of a car increases by 2 km after everyhour. If the distance travelled in the first hour was35 km, what was the total distance travelled in 12hours?

(1) 552 km (2) 456 km

(3) 556 km (4) 482 km

(5) None of these

30. The wheel of an engine is 3

34

metres in

circumference and makes 4 revolutions in 2seconds. The speed of the train is?

(1) 27 km/h (2) 31 km/h

(3) 35 km/h (4) 30 km/h

(5) None of these

31. A person covers half of his journey at 30 km/hand the remaining half at 20 km/h. The averagespeed for the whole journey is?

(1) 25 km/h (2) 28 km/h

(3) 32 km/h (4) 31 km/h

(5) None of these

32. Rajesh covers a certain distance by bus at 16 km/hr and returns back at the starting point on a cycleat 9 km/h. His average speed for the wholejourney is?

(1) 13.54 km/h (2) 11.52 km/h

(3) 15.52 km/h (4) 17.52 km/h

(5) None of these

33. A and B are two towns. A car goes from A to B ata speed of 64 km/h and returns to A at a slowerspeed. If its average speed for the whole journeyis 56 km/h, it returned with speed?

(1) 52.54 km/h (2) 47.74 km/h

(3) 49.78 km/h (4) 55.64 km/h

(5) None of these

34. A bicycle rider covers his onward journey from Ato B at 10 km/h and during the return journey fromB to A he covers to same distance at 8 km/h. If he

finishes the onward and return journey in 1

42

hours, then the total distance covered by him duringthe entire journey is?

(1) 30 km (2) 40 km

(3) 50 km (4) 60 km

(5) None of these

35. On a tour a man travels at the rate of 64 km anhour for the first 160 km, then travels the next 160km at the rate of 80 km an hour. The averagespeed in km per hour for the first 320 km of thetour is?

(1) 81.13 km/h (2) 73.11km/h

(3) 71.11km/h (4) 61.12 km/h

(5) None of these

36. A car completes a journey in 6 hours. It covershalf the distance at 50 km/hr and the rest at 70km/hr. The length of the journey is?

(1) 165 km (2) 175 km

(3) 185 km (4) 180 km

(5) None of these

37. Rakesh sets out to cycle from Delhi to Mathuraand at the same time Suresh starts from Mathurato Delhi. After passing each other they completetheir journeys in 9 and 16 hours, respectively. Atwhat speed does Suresh cycle if Rakesh cyclesat 16 km per hour?

(1) 12 km/h (2) 16 km/h

(3) 14 km/h (4) 12 km/h

(5) None of these

38. A train travels 225 km in 3.5 hours and 370 km in5 hours. Find the average speed of train?

(1) 80 km/h (2) 60 km/h

(3) 70 km/h (4) 50 km/h

(5) None of these

39. A man walks 6 km at a speed of 1

12

km/h, runs 8

km at a speed of 2 km/h and goes by bus another32 km. Speed of the bus is 8 km/h. If the speed ofthe bus is considered as the speed of the man,find the average speed of the man?

(1)5

46

km/h (2)5

36

km/h

(3)7

56

km/h (4)4

26

km/h

(5) None of these

40. A car during its journey travels 30 minutes at aspeed of 40 km/h, another 45 minutes at a speedof 60 km/h, and 2 hours at a speed of 70 km/h.The average speed of the car is?

(1) 63 km/h (2) 65 km/h

(3) 70 km/h (4) 55 km/h

(5) None of these

41. By walking at 34

of his usual speed, a man reaches

office 20 minutes later than usual. His usual timeis?



(5) None of these

42. Two men start together to walk a certain distance,one at 4 km/h and another at 3 km/h. The formerarrives half an hour before the latter. Find thedistance?

(1) 6 km (2) 9 km

(3) 8 km (4) 5 km

(5) None of these

43. A car starts from A for B travelling 20 km an hour.

112

hours later another car starts from A and

travelling at the rate of 30 km an hour reaches B

122

hours before the first car. Find the distance

from A to B?

(1) 280 km (2) 260 km

(3) 240 km (4) 250 km

(5) None of these

44. Mohan walks from Tilak Nagar to Moti Nagar

and back in a certain time at the rate of 1

32

km/h.

But if he had walked from Tilak Nagar to MotiNagar at the rate of 3 km/h and back from MotiNagar to Tilak Nagar at the rate of 4 km/ h., hewould have taken 10 minutes longer. The distancebetween Tilak Nagar and Moti Nagar is?

(1) 28 km (2) 32 km

(3) 24 km (4) 20 km

(5) None of these

45. A boy takes as much time in running 12 metres asa car takes in covering 36 metres. The ratio of thespeeds of the boy and the car is?

(1) 1 : 3 (2) 1 : 2

(3) 2 : 3 (4) 2 : 5

(5) None of these

46. Excluding stoppages, the speed of a bus is 54 km/hr and including stoppages, it is 45 km/h. For howmany minutes does the bus stop per hour?

(1) 9 (2) 10

(3) 12 (4) 20

(5) None of these

47. Ramesh sees a train passing over 1 km longbridge. The length of the train is half that of bridge.If the train clears the bridge in 2 minutes, the speedof the train is?

(1) 45 km/h (2) 43 km/h

(3) 50 km/h (4) 55 km/h

(5) None of these

48. A bullock cart has to cover a distance of 80 km in10 hours. If it covers half of the journey in 3/5 thetime. What should be its speed to cover theremaining distance in the time left?

(1) 8 km/h (2) 20 km/h

(3) 6.4 km/h (4) 10 km/h

(5) None of these

49. A man performs 215

of the total journey by Rail,

20

9 by tonge and the remaining 10 km on foot.

The total journey is?

(1) 15.6 km/h (2) 12.8 km/h

(3) 16.4 km/h (4) 24 km/h

(5) None of these

50. A man covered a certain distance at some speed.Had he moved 3 km per hour faster, he wouldhave taken 40 minutes less. If he had moved 2 kmper hour slower, he would have taken 40 minutesmore. The distance (in km) is?

(1) 20 (2) 35

(3)2

363

(4) 40

(5) None of these

51. A car travelling at speed of 40 km/hour cancomplete a journey in 9 hours. How long will ittake to travel the same distance at 60 km/h?


(3) 4 hours (4)1

42

hours

(5) None of these

52. A car finishes a journey in ten hours at the speedof 80 km/h. If the same distance is to be coveredin eight hours how much more speed does the carhave to gain?

(1) 8 km/h (2) 10 km/h

(3) 20 km/h (4) 16 km/h

(5) None of these

53. A student walks from his house at a speed of 1

22

km per hour and reaches his school 6 minutes late.The next day he increase his speed by 1 km perhour and reaches 6 minutes before school time.How far is the school from his house?

(1)54

km (2)74

km

(3)94

km (4)114

km

(5) None of these

54. Two guns are find from the same place at aninterval of 6 minutes. A person approaching theplace observes that 5 minutes 52 seconds haveelapsed between the hearing of the sound of thetwo guns. If the velocity of the sound is 330 m/sec, the man was approaching that place at whatspeed in km/h?

(1) 24 km/h (2) 27 km/h

(3) 30 km/h (4) 36 km/h

(5) None of these

55. A man completes 30 km of a journey at the speedof 6 km/h and the remaining 40 km of the journeyin 5 hours. His average speed for the whole journeyis?

(1) 7 km/h (2)4

611

km/h

(3) 8 km/h (4) 7.5 km/h

(5) None of these

56. Two persons are walking in the same direction atrates 3 km/h and 6 km/h. A train comes runningfrom behind and passes them in 9 and 10 seconds.The speed of the train is?

(1) 33 km/h (2) 40 km/h

(3) 22 km/h (4) 35 km/h

(5) None of these

57. The poles on the rail road are 50 metres apart,how many will be passed by a train in one and ahalf hour if the speed of the train be 72 km/h?

(1) 2160 (2) 2060

(3) 2100 (4) 2050

(5) None of these

51. 152. 353. 254. 255. 156. 157. 1

ANSWERS11. 312. 413. 514. 315. 316. 317. 318. 119. 420. 5

1. 12. 23. 34. 35. 26. 47. 58. 19. 110. 5

21. 322. 423. 524. 525. 526. 527. 228. 129. 130. 1

31. 532. 233. 334. 235. 336. 337. 538. 139. 340. 2

41. 542. 143. 544. 545. 146. 447. 148. 449. 550. 4

TRAINS

1. A train passes a station platform in 36 secondand a man standing on the platform in 20 seconds.If the speed of the train is 54 km/hour, what is thelength of the platform?

(1) 120 m (2) 240 m

(3) 340 m (4) 300 m

(5) None of these

2. Two trains 100 m and 120 m long are running inthe same direction with speeds of 72 km/hoursand 54 km/hours. In how much time will the firsttrain cross the second one?

(1) 40 second (2) 44 second


(5) None of these

3. Two trains running in opposite directions cross aman standing on the platform in 27 second and17 second respectively and they cross each otherin 23 seconds. The ratio of their speeds is

(1) 1 : 3 (2) 3 : 2

(3) 4 : 3 (4) 5 : 6

(5) None of these

4. A train 240 m long passed a pole in 24 seconds.How long will it take to pass a platform 650 mlong?



(5) None of these

5. How long does a train 110 m long running at thespeed of 72 km/hour takes in crossing a bridge132 m in length?

(1) 9.8 second (2) 12.1 second

(3) 12.42 second (4) 14.3 second

(5) None of these

6. A 260 m long train crosses a 120 m long wall in19 seconds. What is the speed of the train?

(1) 27 km/hour (2) 49 km/hour


(5) None of these

7. A 270-m long train running at the speed of 120km/hr crosses another train running in oppositedirection at the speed of 80 km/hr in 9 seconds.What is the length of the other train?

(1) 240 m (2) 320 m

(3) 260 m (4) 230 m

(5) None of these

8. A train covers a distance of 12 km in 10 minutes.If it takes 6 seconds to pass a telegraph post,then the length of the train is

(1) 90 m (2) 100 m

(3) 120 m (4) 140 m

(5) None of these

9. How many seconds will a 500 m long train taketo cross a man walking with a speed of 3 km/hour in the direction of the moving train, if thespeed of the train is 63 km/hour?

(1) 25 sec (2) 30 sec

(3) 40 sec (4) 45 sec

(5) None of these

10. Two good train each 500 m long are running inopposite direction on parallel tracks. Their speedsare 45 km/hour and 30 km/hour respectively. Findthe time taken by the slower train to pass the driverof the faster one



(5) None of these

11. Two trains one from Howrah to Patna and otherfrom Patna to Howrah, start simultaneously. Afterthey meet, the trains reach their destinations after9 hours and 16 hours respectively. The ratio oftheir speeds is

(1) 2 : 3 (2) 4 : 3

(3) 6 : 7 (4) 9 : 16

(5) None of these

12. A train 110 m long in running with a speed of 60kmph. In what time will it pass a man who isrunning at 6 kmph in the direction opposite tothat in which the train is going?



(5) None of these

13. A 300 m long train crosses a platform in 39seconds while it crosses a signal pole in 18seconds. What is the length of the platform?

(1) 320 m

(2) 650 m

(3) 350 m

(4) data inadequate

(5) None of these

14. Two trains are moving in opposite direction at therate of 60 km/hr and 90 km/hr. Their lengths are1.10 km and 0.9 km respectively. The time takenby the slower train to cross the faster train inseconds is

(1) 36 (2) 45

(3) 48 (4) 49

(5) None of these

15. A train when moves at an average speed of 40kmph, reaches its destination on time. When itsaverage speed becomes 35 kmph, then it reachesits destination 15 minutes late. Find the length ofjourney?

(1) 30 km (2) 40 km

(3) 70 km (4) 80 km

(5) None of these

16. Two trains 140 m and 160 m long run at the speedof 60 km/hour and 40 km/hour respectively inopposite direction on parallel tracks. The time(in seconds) which they take to cross each otheris

(1) 9 sec (2) 9.6 sec

(3) 10 sec (4) 10.8 sec

(5) None of these

17. Train A travelling at 60 km/hr leaves Mumbai forDelhi at 6 p.m. Train B travelling at 90 km/hr alsoleaves Mumbai for Delhi at 9 p.m. Train C leavesDelhi for Mumbai at 9 p.m. If all the three trainsmeet at the same time between Mumbai andDelhi, then what is the speed of train C, if thedistance between Delhi and Mumbai is 1260 km?

(1) 60 km/hr (2) 90 km/hr

(3) 120 km/hr (4) 135 km/hr

(5) None of these

18. Two trains A and B start running together fromthe same point in the same direction, at the speedof 60 kmph and 72 kmph respectively. If thelength of both the trains is 240 metres, how longwill it take for train B to cross train A?

(1) 2 min 12 sec

(2) 1 min 24 sec

(3) 1 min 12 sec

(4) 2 min 24 sec

(5) None of these

19. A 250 metre long train crosses a platform in 10seconds. What is the speed of the train?

(1) 25 m/sec

(2) 20 m/sec

(3) 22 m/sec


(5) None of these

20. A train running at the speed of 20 m/secondcrosses a pole in 24 seconds less than the time it

requires to cross a platform thrice its length at thesame speed. What is the length of the train?

(1) 270 metres

(2) 340 metres

(3) 180 metres

(4) can’t be determined

(5) None of these

21. A 180 metre long is running at a speed of 90 km/hr. How many seconds will it take to cross a 200m long train running in the opposite direction at aspeed of 60 km/hr?

(1) 7 - sec (2) 60 sec

(3) 12 sec (4) 20 sec

(5) None of these

22. A man sitting in a train travelling at the rate of 50km/hr observes that it takes 9 sec. for a goodstrain travelling in the opposite direction to passhim. If the goods train is 187.5 m long, find itsspeed.

(1) 40 km/hr (2) 25 km/hr

(3) 35 km/hr (4) 36 km/hr

(5) None of these

23. Bombay Express left Delhi for Bombay at 14.30hrs, travelling at a speed of 60 kmph and rajdhaniExpress left Delhi for Bomaby on the same dayat 16.30 hrs, travelling at a speed of 80 kmph.How far away from Delhi will the two trains meet?

(1) 120 km (2) 360 km

(3) 480 km (4) 500 km

(5) None of these

24. A train crosses a platform in 60 seconds at aspeed of 45 km/hr. How much time will it take tocross an electric pole if the length of the platformis 100 metres?

(1) 8 seconds (2) 1 minute

(3) 52 seconds(4) 1 hour

(5) None of these

25. A train 300 metres long running at a speed of 18

km/hr. How many seconds will it take to cross a200 m long train running in the opposite directionat a speed of 12 km/hr?

(1) 60 sec (2)1

75

sec

(3) 12 sec (4) 20 sec

(5) None of these

26. A train running at 35 km per hour takes 18seconds to pass a platform. Next, it takes 12seconds to pass a man walking at the rate of 5km/hr in the same direction. Find the length ofthe train and that of the platform.

(1) 50m, 75m (2) 100m, 75m

(3) 75m, 25m (4) 60m, 15m

(5) None of these

27. Two trains of the same length but with differentspeeds pass a static pole in 4 seconds and 5seconds respectively. In what time will they crosseach other when they are moving in the samedirection?

(1) 20 seconds(2) 40 seconds


(5) None of these

28. Two trains of the same length but with differentspeeds pass a static pole in 5 seconds and 6seconds respectively. In what time will they crosseach other when they are moving in the samedirection.

(1) 1 hr (2) 50 sec

(3) 40 sec (4) 60 min

(5) None of these

29. Two trains, 130 and 110 metres long, while goingin the same direction, the faster train takes oneminute to pass the other completely. If they aremoving in opposite direction, they pass each othercompletely in 3 seconds. Find the speed of trains.

(1) 24m/sec, 19m/sec



(4) Data inadequate

(5) None of these

30. Two trains A and B start from Lucknow and Delhitowards Delhi and Lucknow respectively. Afterpassing each other they take 4 hours and 9 hoursto reach Delhi and Lucknow respectively. If thetrain from Lucknow is moving at 60 km/hr thenfind the speed of the other train.

(1) 40km/hr (2) 30 km/hr

(3) 35 km/hr (4) 50 km/hr

(5) None of these

31. Two trains are moving in the opposite directionson parallel tracks at the speeds of 64 km/hr and96 km/hr respectively. The first train passes atelegraph post in 5 seconds whereas the secondtrain passes the post in 6 seconds. Find the timetaken by the trains to cross each other completely.

(1)18

5 sec (2)

28

5 sec

(3) 6 sec (4) 5 sec

(5) None of these

32. The length of the bridge, in which a train of 130m long and travelling at 45 km/hour can cross in30 seconds is

(1) 200 m (2) 225 m

(3) 245 m (4) 250 m

(5) None of these

33. A train 100 m long is running at the speed of 30km/hour. The time time taken by it to pass a manstanding near the railway line is



(5) None of these

34. A train 360 m long is running at a speed of 45km/hour. In what time will it pass a bridge of 140m long?


(3) 45 second (4) 48 seconds

(5) None of these

35. Two trains, each 100 m long, moving in oppositedirections, cross each other in 8 seconds. If oneis moving twice as fast the other, then the speedof the faster train is



(5) None of these

36. Two trains are running at 40 km/hour and 20 km/hour respectively in the same direction. Fastertrain completely passes a man sitting in the slowertrain in 5 seconds. What is the length of the fastertrain?

(l) 23 m (2)2

239

m

(3) 27 m (4)7

279

m

(5) None of these

37. A train running at speed of 120 km/per hourcrosses a signal post in 15 seconds. What is thelength of the train in metres?

(1) 300

(2) 200

(3) 500

(4) can’t be determined

(5) None of these

38. A train covers a distance of 180 km in 4 hours.Another train covers the same distance in onehour less. What is the difference in the distancescovered by these two trains in one hour?

(l) 45km (2) 40 km

(3) 15 km (4) 9 km

(5) None of these

39. A train is moving at a speed of 132 km/hour. If thelength of the train is 110 m, how long will it taketo cross a railway platform 165 m long?

(1)1

62

second (2) 7 second

(3)1

72

second (4) 8 second

(5) None of these

40. A goods train runs at a speed of 72 kmph andcrosses a 250 m long platform in 26 seconds.What is the length of the goods train?

(1) 230 m (2) 240 m

(3) 260 m (4) 270 m

(5) None of these

41. A train 280 m long, running with a speed of a 63km/hour will pass a tree in



(5) None of these

42. In what time will a train 100 m long cross an electricpole, if its speed be 144 km/hour?

(1) 2.5 seconds (2) 4.25 seconds

(3) 5 seconds (4) 12.5 seconds

(5) None of these

43. A train speeds past a pole in 15 seconds and aplatform 100 m long in 25 seconds. Its length is

(1) 50 m

(2) 150 m

(3) 200 m

(4) data inadequate

(5) None of these

44. A train running at the speed of 60 km/hour crossesa pole in 9 seconds. What is the length of thetrain?

(1) 170 m

(2) 180 m

(3) 225 m


(5) None of these

45. A train 800 m long is running at a speed of 78

km/hour. If it crosses a tunnel in 1 minute then thelength of the tunnel (in m) is

(1) 130 (2) 360

(3) 500 (4) 540

(5) None of these

46. A train 125 m long passes a man, running at 5kmph in the same direction in which the train isgoing in 10 seconds. The speed of the train is



(5) None of these

47. An express train travelled at an average speed of100 km/hour, stopping for 3 minutes after every75 km. How long did it take to reach itsdestination 600 km from the starting point?

(1) 6 hours 21 minute




(5) None of these

48. A jogger running at 9 kmph along side a railwaytrack is 240 m ahead of the engine of a 120 mlong train running at 45 kmph in the samedirection. In how much time will the train passthe jogger?

(1) 3.6 second (2) 18 second


(5) None of these

49. Two trains are running in opposite directions withthe same speed. If the length of each train is 120m and they cross each other in 12 seconds, thenthe speed of each train (in km/hr) is

(1) 10 (2) 18

(3) 36 (4) 72

(5) None of these

50. Two trains of equal length are running on parallellines in the same direction at 46 km/hour and 36km/hour. The faster train passes the slower train

in 36 seconds. The length of each train is

(1) 50 m (2) 72 m

(3) 80 m (4) 82 km

(5) None of these

51. Two trains 140 m and 160 m long run at the speedof 60 km/hour and 40 km/hour respectively inopposite directions on parallel tracks. The time(in seconds) which they take to cross each otheris

(1) 9 (2) 9.6

(3) 10 (4) 10.8

(5) None of these

52. A train moves past a telegraph post and a bridge264 m long in 8 seconds and 20 secondsrespectively. What is the speed of the train?

(1) 69.5 km/hour (2) 70 km/hour

(3) 79 km/hour (4) 79.2 km/hour

(5) None of these

53. Two trains of equal length take 10 seconds and15 seconds respectively to cross a telegraph post.If the length of each train be 120 m, in what time(in seconds) will they cross each other travellingin opposite direction?

(1) 8.5 (2) 9

(3) 10 (4) 12

(5) None of these

54. A train 108 m long moving at a speed of 50 km/hrcrosses a train 112 m long coming from theopposite direction in 6 sec. The speed of thesecond train is

(1) 48 km/hr (2) 54 km/hr

(3) 66 km/hr (4) 82 km/hr

(5) None of these

55. A train covers 180 km distance in 4 hours.Another train covers the same distance in 1 hourless. What is the difference in the distancescovered by these trains in one hour?

(1) 45 km (2) 9 km

(3) 40 km (4) 10 km

(5) None of these

56. A train with 90 km/hr crosses a bridge in 36seconds. Another train 100 metres shorter crossesthe same bridge at 45 km/hr. What is the timetaken by the second train to cross the bridge?



(5) None of these

51. 452. 453. 454. 355. 456. 4

ANSWERS11. 212. 213. 314. 315. 316. 417. 318. 419. 520. 5

1. 22. 23. 24. 25. 26. 37. 48. 39. 210. 3

21. 422. 223. 324. 325. 126. 227. 228. 329. 230. 1

31. 132. 333. 434. 135. 336. 437. 338. 339. 340. 4

41. 242. 143. 144. 545. 346. 247. 148. 349. 350. 1

BOATS & STREAMS

1. A man rows upstream 11 km and downstream26 km taking 5 hours each time. The velocity ofthe current is km/hr.

(1) l km/hr (2) 1.3 km/hr

(3) 1.5 km/hr (4) 2.5 km/hr

(5) None of these

2. The speed of a boat downstream is 15 km/hrand the speed of the stream is 1.5 km/hr. Thespeed of the boat upstream is

(1) 13.5 km/hr (2) 16.5 km/hr

(3) 5.25 km/hr (4) 7.5 km/hr

(5) None of these

3. A boat moves downstream at the rate of 12 km/hr and upstream at 4 km/hr. Find the speed ofthe boat in still water and also the speed of current.

(1) 7 km/hr, 2 km/hr



(4) 7.5 km/hr, 1.5 km/hr

(5) None of these

4. A man can row 7

29

metres per second and

upstream at the rate of 5 km/hr. Find the man’srowing rate in still water and speed of current.


(2) 7.5 km/hr, 3 km/hr

(3) 7.5 km/hr, 1 km/hr

(4) 5.5 km/hr, 1.5 km/hr

(5) None of these

5. A man can row 60 km downstream in 6 hours. Ifthe speed of the current is 3 km/hr, then find inwhat time will he be able to cover 16 kmupstream?

(1) 4.5 hours (2) 4 hours

(3) 5 hours (4) 5.5 hours

(5) None of these

6. A man can row three quarters of a km against the

stream in 1

114

minutes and return in 1

72

minutes.

Find the speed of the man in still water. What isthe speed of the stream?





(5) None of these

7. A man rows upstream 13 km and downstream28 km taking 5 hours each time. What is thevelocity of the current?

(1) 1.5 km/hr (2) 3 km/hr

(3) 2.5 km/hr (4) 4 km/hr

(5) None of these

8. A boat is rowed down a river at 10 km/hr and up

the river at 3

44

km/hr. Find the velocity of the

river.

(1)1

22

km/hr (2)3

28

km/hr

(3)3

24

km/hr (4)5

28

km/hr

(5) None of these

9. A boat takes 9 h to travel a distance upstreamand takes 3 h to travel the same distancedownstream. If the speed of the boat in still wateris 4 km/hr, what is the velocity of the stream?

(1) 4 km/hr (2) 3 km/hr

(3) 6 km/hr (4) 2 km/hr

(5) None of these

10. A boat running downstream covers a distance of16 km in 2 hr while for covering the same distanceupstream it takes 4 hr. What is the speed of theboat in still water?

(1) 4 km/hr

(2) 6 km/hr

(3) 8 km/hr

(4) Data inadequate

(5) None of these

11. The speed of a boat in still water is 12 km/hr andrate of flow of steam is 4 km/hr. If it travelsupstream for 3 h 15 min, find the distance (jnkm) travelled by the boat during this journey.

(1) 24 km (2) 25 km

(3) 26 km (4) 27 km

(5) None of these

12. In one hour, a boat goes 11 km along the streamand 5 km against the stream. The speed of theboat in still water is

(1) 10 kmph (2) 8kmph

(3) 4kmph (4) 8kmph

(5) None of these

13. A man can row upstream at 8 kmph anddownstream at 13 kmph. The speed of stream is

(1) 3.5 kmph (2) 2.5 kmph

(3) 3 kmph (4) 4 kmph

(5) None of these

14. A man rows downstream 32 km and 14 kmupstream. If he takes 6 hours to cover eachdistance, then the velocity of the current is

(l) 3km/hr (2) 2km/hr

(3) 2.5 km/hr (4) 1.33km/hr

(5) None of these

15. A boat running downstream covers a distance of

16 km in 2 hours while for covering the samedistance upstream it takes 4 hours. What is thespeed of the boat in still water ?

(1) 2 km/hr (2) 6 km/hr

(3) 5 km/hr (4) 4 km/hr

(5) None of these

16. A boatman goes 2 km against the current of thestream in 1 hour and goes 1 km along the currentin 10 minutes. How long will it take to go 5 km instationary water ?

(1) 1.5 hr (2) 1 hr

(3) 2 hr (4) 3 hr

(5) None of these

17. A man can row three-quarters of a kilometeragainst the stream in 11.25 minutes. The speedof the man in still water is

(1) 12 kmph

(2) 10 kmph

(3) 6 kmph

(4) Data inadequate

(5) None of these

18. A man takes twice as long to row against thestream as to row the same distance in favor ofthe stream. The ratio of the speed of the boatand the stream is

(1) 2 : 1 (2) 5 : 2

(3) 3 : 1 (4) 2 : 3

(5) None of these

19. A boat running upstream takes 8 hours 48 minutesto cover a certain distance , while it takes 4 hoursto cover the same distance running downstream.What is the ratio between the speed of the boatand speed of the water current respectively?

(1) 60 : 17 (2) 61 : 21

(3) 2 : 3 (4) 3 : 1

(5) None of these

20. If a boat goes 7 km upstream in 42 minutes andthe speed of the stream is 3 kmph , then the speed

of the boat in still water is

(1) 9 kmph (2) 12 kmph

(3) 7 kmph (4) 13 kmph

(5) None of these

21. A man’s speed with the current is 15 km/hr andthe speed of the stream is 2.5 km/hr. The man’sspeed against the current is

(1) 10 km/hr (2) 12 km/hr

(3) 5 km/hr (4) 15 km/hr

(5) None of these

22. If a man rows at the rate of 5 kmph in still waterand his rate against the current is 3.5 kmph, thenthe man’s rate along the current is

(1) 4 kmph (2) 2 kmph

(3) 6.5 kmph (4) 3 kmph

(5) None of these

23. A boat can travel with a speed of 13 km/hr in stillwater. If the speed of the stream is 4 km/hr , findthe time taken by the boat to go 68 kmdownstream

(1) 2 hr (2) 3 hr

(3) 5 hr (4) 4 hr

(5) None of these

24. Speed of a boat in standing water is 9 km/h andthe speed of the stream is 1.5 km/hr. A man rowsto a place at a distance of 105 km and comesback to the starting point. The total time taken byhim is

(l) 24 hr (2) 20 hr

(3) 30 hr (4) 15 hr

(5) None of these

25. The speed of a boat in still water is 15 km/hr andthe rate of current is 3 km/hr. The distancetravelled downstream in 12 minutes is

(1) 2 km/hr (2) 3.6 km/hr

(3) 2.5 km/hr (4) 4 km/hr

(5) None of these

26. A man can row at 5 kmph in still water. If thespeed of current is 1 kmph and it takes him 1hour to row to a place and come back , how faris the place?

(1) 3.5 km (2) 3 km

(3) 2.4 km (4) 5 km

(5) None of these

27. A swimmer covers a distance of 28 km againstthe current and 40 km in the direction of thecurrent. If in each case he takes 4 hours, then thespeed of the current is

(1) 3.5 km/h (2) 1.5 km/h

(3) 2.5 km/h (4) 1.5 km/h

(5) None of these

28. A boat moves downstream at the rate of one kmin 10 minutes and upstream at the rate of 4 km anhour. What is the velocity of the current

(1) 5 km/h (2) 3 km/h

(3) 1 km/h (4) 2 km/h

(5) None of these

29. If a man’s rate with the current is 12 km/h and

the rate of the current is 1

12

km/h, then his rate

against the current is

(1) 13 km/h (2) 7 km/h

(3) 9 km/h (4) 6 km/h

(5) None of these

30. A boatman can row 2 km against the stream in20 minutes and return in 18 minutes. Find the rateof current.

(1) 1/3 km/h (2) 2/3 km/h

(3) 5/3 km/h (4) 3/2 km/h

(5) None of these

31. A boatman can row 48 km downstream in 4 h. Ifthe speed of the current is 5 km/h, then find inwhat time will he be able to cover 8 km upstream?

(1) 6 h (2) 4 h

(3) 8 h (4) 5 h

(5) None of these

32. A man can row at a speed of 10 km/h in stillwater to a certain upstream point and back tothe starting point in a river which flows at 4 km/h.Find his average speed for total journey.

(1)2

95

km/h (2)2

85

km/h

(3)2

115

km/h (4)2

55

km/h

(5) None of these

33. A man can row 6 km/h in still water. If the river isrunning at 2 km/h, it takes 3 hours more inupstream than to go downstream for the samedistance. How far is the place?

(1) 24 km (2) 28 km

(3) 36 km (4) 25 km

(5) None of these

34. A boat covers a certain distance downstream in2 hours but takes 4 hours to return upstream tothe starting point. If the speed of the stream be 3km/h, find the speed of the boat in still water.

(1) 11 km/h (2) 13 km/h

(3) 9 km/h (4) 10 km/h

(5) None of these

35. In a river flowing at 2 km/h, a boat travels 32 kmupstream and then returns downstream to thestarting point. If its speed in still water be 6 km/h,find the total journey time.



(5) None of these

36. A boat travels upstream from B to A anddownstream from A to B in 3 hrs. If the speed ofthe boat in still water is 9 km/h and the speed ofthe current is 3 km/h, the distance between A andB is

(1) 8 km (2) 16 km

(3) 12 km (4) 20 km

(5) None of these

37. A boat travels 2 km upstream in a stream flowingat 3 km/h and then returns downstream to thestarting point in 30 minutes. The speed of the boatin still water is:

(1) 17 km/h (2) 9 km/h

(3) 13 km/h (4) 15 km/h

(5) None of these

38. A man swimming in a stream which flows 1 1

12

km/h finds that in a given time he can swim twiceas far with the stream as he can against it. At whatrate does he swim?

(1)1

42

km/h (2)1

52

km/h

(3)1

72

km/h (4)1

62

km/h

(5) None of these

39. A boat travels upstream from B to A anddownstream from A to B in 3 hours. If the speedof the boat in still water is 9 km/h and the speedof the current is 3 km/h, the distance between Aand B is

(1) 4 km (2) 6 km

(3) 8 km (4) 12 km

(5) None of these

40. A man rows upstream 12 km and downstream28 km taking 5 hours each time. The velocity ofwater current is

(1)1

25

km/h

(2)1

22

km/h

(3) 3km/h

(4)3

15

km/h

(5) None of these

41. Twice the speed downstream in equal to the thricethe speed upstream, the ratio of speed in still waterto the speed of the current is

(1) 1 : 5 (2) 5 : 1

(3) 1 : 3 (4) 2 : 3

(5) None of these

42. A man can swim 3 km/h in still water. If thevelocity of the stream be 2 km/h, the time takenby him to swim to a place 10 km upstream andback, is

(1) 8-h

(2) 9?h

(3) 10 h

(4) 12 h

(5) None of these

43. A boat covers 24 km upstream and 36 kmdownstream in 6 h, while it covers 36 kmupstream and 24 km downstream in 6 —h . Thevelocity of the current is

(1) 1.5 km/h (2) 1 km/h

(3) 2 km/h (4) 2.5 km/h

(5) None of these

44. A boatman goes 2 km against the current of thestream in 1 h and goes 1 km along the current in10 min. How long will he take to go 5 km instationary water?

(1) 1 h (2) 1 h 15 min

(3) 1.5 h (4) 40 min

(5) None of these

45. P, Q R are three towns on a river which flowsuniformly. Q is equidistant from P and R. A manrows P to Q and back in 10 h. He can row fromP to R in 4 h. The ratio of speed of man in stillwater to the speed of the current is

(1) 5 : 3 (2) 3 : 5

(3) 2 : 5 (4) 1 : 2

(5) None of these

46. In a stream running at 2 km/h, a motor boat goes10 km upstream and back again to the startingpoint in 55 min. Find the speed of the motorboatin still water.

(1) 20 km/h (2) 21 km/h

(3) 22 km/h (4) 24 km/h

(5) None of these

47. A man can row 30 km upstream and 44 kmdownstream in 10 h. Also, he can row 40 kmupstream and 55 km downstream in 13 hours.Find the rate of the current and the speed of theman in still water.

(1) 3 km/h, 8 km/h

(2) 3.5 km/h, 7.5 km/h

(3) 4 km/h, 7 km/h

(4) 4.5 km/h, 6.5 km/h

(5) None of these

41. 342. 243. 344. 245. 146. 447. 4

ANSWERS9. 110. 411. 412. 213. 414. 515. 516. 3

1. 32. 13. 54. 15. 36. 17. 28. 1

17. 418. 219. 420. 221. 122. 423. 324. 2

25. 426. 127. 328. 429. 130. 231. 332. 1

33. 234. 235. 336. 337. 138. 239. 240. 1

ALLIGATION MIXTURE

1. In what ratio two varieties of tea one costing Rs27 per kg and the other costing Rs 32 per kg shouldbe blended to produce a blended variety of teaworth Rs 30 per kg. How much should be thequantity of second variety of tea, if the first varietyis 60 kg?

(1) 90 kg (2) 85 kg

(3) 80 kg (4) 75 kg

(5) None of these

2. Sugar at Rs 15 per kg is mixed with sugar at Rs20 per kg in the ratio 2:3. Find the price per kg ofthe mixture.

(1) Rs 19 (2) Rs 18

(3) Rs 15 (4) Rs 20

(5) None of these

3. How many kg of tea worth Rs 25 per kg must beblended with 30 kg of tea worth Rs 30 per kg sothat by selling the blended variety at Rs 30 per kgthere should be a gain of 10%?

(1) 36 kg (2) 40 kg

(3) 32 kg (4) 42 kg

(5) None of these

4. There are 65 students in a class, 39 rupees aredistributed among them so that each boy gets 80P and each girl gets 30 P. Find the number of boysand girls in that class.

(1) 43, 40 (2) 36, 33

(3) 39, 26 (4) 45, 42

(5) None of these

5. A trader has 50 kg of sugar, a part of which hesells at 10% profit and the rest at 5% loss. Hegain 7% on the whole. What is the quantity sold at10% gain and 5% loss?

(1) 40 kg, 10 kg (2) 10 kg, 35 kg

(3) 25 kg, 15 kg (4) 30 kg, 20 kg

(5) None of these

6. A person has Rs 5000. He invests a part of it at3% per annum and the remainder at 8% per annumsimple interest. His total income in 3 years is Rs750. Find the sum invested at different rates ofinterest.

(1) Rs 2000, Rs 1000

(2) Rs 3000, Rs 1000

(3) Rs 1000, Rs 4000

(4) Rs 3000, Rs 2000

(5) None of these

7. Some amount out of Rs 7000 was lent at 6% p.a.and the remaining at 4% p.a. If the total simpleinterest from both the fractions in 5 years was Rs1600, the sum lent at 6% p.a. was

(1) Rs 3000 (2) Rs 4000

(3) Rs 5000 (4) Rs 2000

(5) None of these

8. In what proportion water must be added to spiritto gain 20% by selling it at the cost price?

(1) 1 : 5 (2) 2 : 5

(3) 3 : 5 (4) 4 : 5

(5) None of these

9. A person covers a distance 100 kms in 10 hr, partlyby walking at 7 km per hr and rest by running at12 km per hr. Find the distance covered in eachpart.

(1) 28 km, 72 km (2) 32 km, 82 km

(3) 24 km, 68 km (4) 26 km, 70 km

(5) None of these

10. The average weekly salary per head of allemployees (supervisors and labourers) is Rs 100.The average weekly salary per head of all thesupervisors is Rs 600 while the average weeklysalary per head of all the labourers is Rs 75. Findthe number of supervisors in the factory if thereare 840 labourers in it.

(1) 46 (2) 42

(3) 44 (4) 48

(5) None of these

11. A person travels 285 km in 6 hr in two stages. Inthe first part of the journey, he travels by bus atthe speed of 40 km per hr. In the second part ofthe journey, he travels by train at the speed of 55km per hr. How much distance did he travel bytrain?

(1) 205 km (2) 145 km

(3) 165 km (4) 185 km

(5) None of these

12. A trader has 50 kg of pulses, part of which hesells at 8% profit and the rest at 18% profit. He

gains 14% on the whole. What is the quantity soldat 18% profit?

(1) 30 kg (2) 25 kg

(3) 20 kg (4) 40 kg

(5) None of these

13. Mira’s expenditure and savings are in the ratio3 : 2. Her income increases by 10%. Herexpenditure also increases by 12%. By how many% does her savings increase?

(1) 7% (2) 10%

(3) 9% (4) 13%

(5) None of these

14. Two types of steel are available. Type A contains5% of nickel and type B contains 40% of nickel.How much of each type be mixed to obtain 140tonnes of steel containing 30% of nickel?

(1) 40,100 tonnes (2) 50,125 tonnes

(3) 30,75 tonnes (4) 60,180 tonnes

(5) None of these

15. Two alloys A and B contain silver and copper inthe ratio 5 : 1 and 7 : 2, respectively. Find the ratioin which they be mixed such that there be 80% ofsilver.

(1) 3 : 2 (2) 2 : 3

(3) 1 : 3 (4) 3 : 4

(5) None of these

16. In what ratio water should be mixed with a liquidat Rs. 12 per litre so that by selling the mixture atRs.13.75 per litre, the seller gains 25%?

(a) 1 : 11 (2) 1 : 15

(3) 1 : 17 (4) 1 : 13

(5) None of these

17. A tea seller mixes two kinds of tea one at Rs. 15kg and other at Rs. 20 per kg. In what ratio shouldhe mix them to get the price of mixture at Rs.16.50 per kg?

(a) 8 : 3 (2) 5 : 7

(3) 7 : 3 (4) 7 : 5

(5) None of these

18. Ajar full of whisky contains 40% of alcohol. Apart of this whisky is replaced by anothercontaining 19% alcohol and now the percentageof alcohol was found to be 26. The quantity ofwhisky replaced by

(1)25

(2)15

(3)23

(4)35

(5) None of these

19. A part of sum of Rs 10000 is lent at 8% and theremaining sum at 10% per annum. If the averagerate of interest is 9.2%, then the two parts are

(1) Rs. 4000, Rs. 6000

(2) Rs. 5500, Rs. 6000

(3) Rs. 5000, Rs. 5000

(4) Rs. 5500, Rs. 4500

(5) None of these

20. What quantity of water should be added to 3 litresof 10% solution of salt, so that it becomes 5% saltsolution?

(1) 1.5 litre

(2) 2.7 litre

(3) 3 litres


(5) None of these

21. Jaydeep purchased 25 kg of rice at the rate of Rs16.80 per kg and 35 kg of rice at the rate of Rs25.50 per kg. He mixed the two and sold themixture. Approximately, at what price per kg didhe sell the mixture to make 25 percent profit?

(1) Rs. 26.50 (2) Rs. 27.50

(3) Rs. 28.50 (4) Rs. 30.00

(5) None of these

22. A grocer purchased 20 kg of rice at the rate ofRs. 15 per kg and 30 kg of rice at the rate of 13per kg. At what price per kg should he sell themixture to earn 33 % profit on the cost price?

(1) Rs. 28.00 (2) Rs. 20.00

(3) Rs. 18.40 (4) Rs. 17.40

(5) None of these

23. Two varieties of soda water with different pricesare mixed in the ratio of 2 : 3. The price of firstsoda water is Rs.10 per litre while the price ofsecond soda water is Rs. 15 per litre, respectively.The average price of the mixture is

(1) Rs. 13 (2) Rs. 15

(3) Rs. 16 (4) Rs. 20

(5) None of these

24. 5 kg of superior quality of sugar is mixed with 25kg of inferior quality sugar. The price of superiorquality and inferior quality sugar is Rs.18 and Rs.12respectively. The average price per kg of themixture is

(1) Rs. 14 (2) Rs. 13

(3) Rs. 15 (4) Rs. 25

(5) None of these

25. 16 litres of kerosene is mixed with 5 litres of petrol.

The price of kerosene is Rs.12 per litres and theprice of petrol is Rs.33 per litre. The average priceof mixture per litres is

(1) Rs. 20 (2) Rs. 18

(3) Rs. 17 (4) Rs. 21

(5) None of these

26. Amit travels 30 minutes at the speed of 25 km/hr.Further, he travels 20 minutes at the speed of 40km/hr. Find his average speed .

(1) 30 (2) 32

(3) 28 (4) 31

(5) None of these

27. A milkman has two types of milk .In the firstcontainer the percentage of milk is 80 % and inthe second container the percentage of milk is 60%. If he mixes 28 litres of the first container tothe 32 litres of milk of the second container, thenthe percentage of milk in the mixture is

(1) 50.33% (2) 69.33%

(3) 70.33% (4) 60.33%

(5) None of these

28. Modern electronics shop sold 30 % hardware atthe profit of 50% and 90% software at the profitof 10%. The average profit percent of modernelectronics shop is, if it sells only these two kindsof things

(1) 30 (2) 35

(3) 40 (4) 20

(5) None of these

29. Avinash covered 150 km distance in 10 hours. Thefirst part of his journey he covered by car, then hehired a rickshaw. The speed of car and rickshawis 20 km/hr and 12 km/hr respectively. The ratioof distance covered by car and the rickshawrespectively are:

(1) 1 : 2 (2) 1 : 1

(3) 2 : 1 (4) 3 : 1

(5) None of these

30. A mixture of rice is sold at Rs 3.00 per kg .Thismixture is formed by mixing the rice of Rs 2.10and Rs. 2.52 per kg. What is the ratio of price ofcheaper to the costlier quality in the mixture if theprofit of 25% is being earned?

(1) 4 : 10 (2) 4 : 5

(3) 3 : 10 (4) 6 : 10

(5) None of these

31. A milkman has 20 litres of milk. If he mixes 5litres of water, which is freely available, in 20 litresof pure milk .If the cost of pure milk is Rs 18 perlitres, then the profit of the milkman ,when he sells

all the mixture at cost price is

(1) 25% (2) 30%

(3) 45% (4) 30%

(5) None of these

32. In what ratio should water and wine be mixed sothat after selling the mixture at the cost price aprofit of 33.33% is made?

(1) 1 : 5 (2) 1 : 4

(3) 1 : 2 (4) 1 : 3

(5) None of these

33. In what ratio should freely available water bemixed with the wine worth Rs.60 per litres so thatafter selling the mixture at Rs.50 per litres, theprofit will be 25%?

(1) 1 : 3 (2) 2 : 1

(3) 1 : 8 (4) 1 : 6

(5) None of these

34. How much pepsi at Rs.9 a litre is added to 15litres of ‘dew’at Rs.10 a litre so that the price ofthe mixture be Rs.9 a litre?

(1) 5 (2) 6

(3) 4 (4) 1

(5) None of these

35. In my pocket there are Rs.25 consisting of onlythe denominations of 20 paise and 50 paise. Thus,there are total 80 coins in my pocket. The numbersof coins of the denomination of 50 paise is?

(1) 40 (2) 30

(3) 60 (4) 50

(5) None of these

36. There are some shepherds and their sheep in agrazing field. The number of total heads is 60 andtotal legs is 168 including both men and sheep.The number of sheep is

(1) 20 (2) 24

(3) 30 (4) 27

(5) None of these

37. In my office, the average age of all the femalesemployees is 21 years and that of male employeesis 32 years ,where the average age of all the (maleand female) employees is 28 years. The possiblenumber of total employees in my office could be

(1) 231 (2) 250

(3) 251 (4) 241

(5) None of these

38. A car agency has 108 cars, it sold some cars at 9% profit and rest at 36 % profit. Thus, it gains 17% on the sale of all its cars. The numbers of carssold at 36% profit is?

(1) 33 (2) 35

(3) 32 (4) 36

(5) None of these

39. Rs. 69 were divided among 115 students so thateach girl gets 50 paise less than a boy. Thus eachboy received twice the paise as each girl received.The numbers of girls in the class is?

(1) 98 (2) 92

(3) 93 (4) 97

(5) None of these

40. In what proportion water be mixed with spirit togain 12.5% by selling it at cost price?

(1) 1 : 8 (2) 1 : 7

(3) 1 : 6 (4) 1 : 5

(5) None of these

41. A butler stole wine from a butt of sherry containing50% of spirit and then he replenished it by differentwine containing 20% spirit. Thus there was only30% strength (spirit) in the new mixture. Howmuch of the original wine did he steal?

(1) 4/3 (2) 1

(3) 3/4 (4) 2/3

(5) None of these

42. Mr. Mohit purchased two toy factories ,one in indiaand other one in Sri Lanka for total Rs. 72 crores.Later on he sold the Indian factory at 16% profitand Sri Lankan factory at 24% profit. Thus hegained a total profit of 19%.The selling price ofIndian factory is

(1) Rs.60 crores (2) Rs.52 crores

(3) Rs.70 crores (4) Rs.55 crores

(5) None of these

43. A milkman sells the milk at the cost price but hemixes the water (freely available) in it and thus hegains 9.09%. The quantity of water in the mixtureof 1 litres is

(1) 85.33 ml (2) 75.33 ml

(3) 65.33 ml (4) 45.33 ml

(5) None of these

44. The price of petrol is Rs 70 per litres and the priceof spirit is Rs 30 per litres. In what ratio the petroland spirit be mixed such that the profit after sellingthe mixture at Rs.75 per litres be 25%?

(1) 3 : 1 (2) 2 : 3

(3) 3 : 4 (4) 4 : 3

(5) None of these

45. A trader sells total 315 mobile sets. He sells blackand white mobile sets at a loss of 6% and colourmobile sets at a profit of 15%. Thus, he gains 9 %

on the whole. The number of black and whitemobile sets, which he has sold, is

(1) 215

(2) 315

(3) 200


(5) None of these

46. In a class of 30 students, the average weight ofboys is 20 kg and the average weight of the girlsis 25 kg. The fraction of boys out of the totalstudents of the class is

(1) 2 : 3 (2) 4 : 3

(3) 3 : 5 (4) 4 : 7

(5) None of these

47. Two varieties of soft drinks with different pricesare mixed in the ratio of 3 : 4. The price of firstsoft drink is Rs.8 per litre while the price of secondsoft drink is Rs. 13 per litre, respectively. Theaverage price of the mixture is?

(1) Rs. 10.50 (2) Rs. 30.10

(3) Rs. 10.14 (4) Rs. 33

(5) None of these

48. 4 kg of variety A is mixed with 14 kg Variety B.The prices of Variety A and Variety B are Rs.16and Rs. 14 respectively. The average price per kgof the mixture is

(1) Rs. 18 (2) Rs. 20

(3) Rs. 30 (4) Rs. 16

(5) None of these

49. 9 litres of orange juice is mixed with 4 litres ofapple juice. The price of orange is Rs.10 per litresand the price of apple juice is Rs. 25 per litre. Theaverage price of mixture per litres is

(1) Rs. 20 (2) Rs. 25

(3) Rs. 30 (4) Rs. 32

(5) None of these

50. Ranjan, travelling in a car takes 50 minutes at thespeed of 24 km/hr. Further, he travels 40 minutesat the speed of 35 km/hr. Find his average speed.

(1) 30 km/hr (2) 25 km/hr

(3) 32 km/hr (4) 28.8 km/hr

(5) None of these

51. In a tank, the percentage of a paint is 45% and inthe second tank, the percentage of the same paintis 25%. If 16 litres of the first tank is mixed with24 litres of paint of the second tank, then thepercentage of paint in the mixture is

(1) 43% (2) 33%

(3) 55% (4) 56%

(5) None of these

52. A shopkeeper sold the 25% of sweets at the profitof 45% and 75% of sweets at the profit of 9%.The average profit percent of shopkeeper is, if itsells only these two kinds of things

(1) 20% (2) 18%

(3) 25% (4) 30%

(5) None of these

53. Ratan reaches his office in 5 hrs which is 125 kmfrom his home. He covers a part of the distanceby bus and another part by a second bus. Thespeed of the first bus and the second bus are 35km/hr and 10 km/hr. What is the ratio of thedistances covered by the first bus and the secondbus?

(1) 8 : 3 (2) 7 : 3

(3) 5: 3 (4) 2 : 3

(5) None of these

54. A mixture of wheat is sold at Rs 4.00 per kg .Thismixture is formed by mixing the rice of Rs 3 andRs. 3.7 per kg. What is the ratio of price of cheaperto the costlier quality in the mixture if the profit of30% is being earned?

(1) 5 : 1 (2) 3 : 2

(3) 10 : 1 (4) 3 : 4

(5) None of these

55. If a shopkeeper mixes 8 kg of brick powder, whichis freely available, in 50 kg litres of chilly powder.If the cost of pure chilly powder is Rs 54 per kg,then the profit of the shopkeeper, when he sells allthe mixture at cost price is

(1) 15% (2) 12%

(3) 16% (4) 13%

(5) None of these

56. In what ratio should water and wine be mixed sothat after selling the mixture at the cost price, aprofit of 25% is made?

(1) 1 : 3 (2) 1 : 5

(3) 1 : 2 (4) 1 : 4

(5) None of these

57. In what ratio should freely available water bemixed with the wine worth Rs.70 per litres so thatafter selling the mixture at Rs.48 per litres, theprofit will be 15%?

(1) 975 : 87 (2) 985 : 87

(3) 967 : 87 (4) 987 : 87

(5) None of these

51. 252. 253. 254. 355. 356. 457. 5

ANSWERS11. 312. 113. 114. 115. 216. 117. 318. 319. 120. 3

1. 12. 23. 14. 35. 16. 47. 48. 19. 110. 2

21. 222. 323. 124. 225. 326. 427. 228. 429. 230. 3

31. 132. 433. 534. 435. 236. 237. 138. 339. 240. 1

41. 442. 243. 544. 145. 546. 547. 348. 549. 550. 4

SIMPLE INTEREST

1. A sum or Rs 4000 is lent for 5 years at the rate of

15% per annum. Find the interest.

(1) Rs 3000 (2) Rs 2000

(3) Rs 1000 (4) Rs 4000

(5) None of these

2. If the simple interest on Rs 625 increases by Rs25, when the time increases by 2 years. Find the

rate per cent per annum.

(1) 2% (2) 3%

(3) 1% (4) 0.5%

(5) None of these

3. The simple interest on a sum of money is 1/2 ofthe principle, and the number of years is equal to

the rate per cent annum. Find the rate per cent.

(1)2

63

% (2)3

55

%

(3)2

73

% (4)1

63

%

(5) None of these

4. If simple interest on Rs 375 increases by Rs75,

when the rate % increases by 5% per annum.Find the time.



(5) None of these

5. In what time does a sum of money become thriceat the simple interest rate of 8% per annum?



(5) None of these

6. A sum was put at SI at a certain rate for 3 years.Had it been put at 4% higher rate, it would havefetched Rs 600 more. Find the sum.

(1) Rs 5000 (2) Rs 4000

(3) Rs 6000 (4) Rs 3000

(5) None of these

7. A certain sum of money amounts to Rs 550 in 3years and to Rs 650 in 4 years. Find the sum.

(1) Rs 500 (2) Rs 5000

(3) Rs 400 (4) Rs 4000

(5) None of these

8. The simple interest on a sum of money will be Rs150 after 4 years. In the next 4 years principalbecomes 5 times what will be the total interest at

the end of the 8th years?

(1) Rs 950 (2) Rs 900

(3) Rs 910 (4) Rs 860

(5) None of these

9. The simple interest on a sum of money will be Rs

225 after 3 years. In the next 5 years principalbecomes 3 times, what will be the total interest atthe end of 8 the years?

(1) Rs 1250 (2) Rs 1330

(3) Rs 1360 (4) Rs 1350

(5) None of these

10. A sum of money becomes two times at the simpleinterest rate of 2% per annum. At what rate per

cent will it become five fold?

(1) 10% (2) 8%

(3) 6% (4) 9%

(5) None of these

11. A sum of money doubles itself in 5 years. It willbecome 4 times of itself in



(5) None of these

12. The simple interest on Rs 1250 will be less thanthe interest on Rs 1400 at 3% simple interest byRs 45. Find the time.



(5) None of these

13. The difference in simple interests on a certain sum

at 4% per annum for 3 years and 5% per annumfor 2 years is Rs 50. Find the sum.

(1) Rs 5000 (2) Rs 4000

(3) Rs 3000 (4) Rs 2500

(5) None of these

14. The difference between the interests received

from two different banks on Rs 200 for 3 years isRs 60. Find the difference between their rates.

(1) 10% (2) 12%

(3) 15% (4) 17%

(5) None of these

15. A sum of money lent out at simple interest amountsto Rs 720 in 2 years and to Rs 1020 in 7 years.

Find the rate per cent per annum.

(1) 10% (2) 3.5%

(3) 3.85% (4) 15%

(5) None of these

16. At what rate of interest per annum will a sum

double itself in 8 years?

(1)1

122

% (2) 5%

(3) 6% (4)1

102

%

(5) None of these

17. If x is the simple interest on y is the simple interest

on z, the rate % and the time being the same inboth cases, what is the relation between x, y andz?

(1) x2 = yz (2) y2 = xz

(3) z2 = xy (4) xyz =1

(5) None of these

18. A sum of money doubles itself in 10 years at simpleinterest. What is the rate of interest?

(1) 8 % (2) 7%

(3) 6% (4) 10 %

(5) None of these

19. A sum of money triples itself in 20 years at SI.Find the rate of interest.

(1) 12% (2) 5%

(3) 10% (4)1

102

%

(5) None of these

20. In what time does a sum of money become fourtimes at the simple interest rate of 5% per annum?



(5) None of these

21. Ashish borrowed Rs 15000 at the rate of 12%and another amount at the rate of 15% for twoyears. The total interest paid by him was Rs 9000.How much did he borrow?

(1) Rs 32,000 (2) Rs 33,000

(3) Rs 30,000 (4) Rs 63,000

(5) None of these

22. Rajesh deposited two parts of a sum of Rs 25000

in different banks at the rates of 15% per annumand 18% per annum respectively. In one year hegot Rs 4050 as the total interest. What was the

amount deposited at the rate of 18% per annum?

(1) Rs 9,000 (2) Rs 18,000

(3) Rs 15,000 (4) Rs 20,000

(5) None of these

23. The simple interest in 14 months on a certain sum

at the rate of 60% per annum is Rs 250 more thanthe interest on the same sum at the rate of 8% in8 months. How much amount was borrowed?

(1) Rs 15000 (2) Rs 25000

(3) Rs 7500 (4) Rs 14500

(5) None of these

24. The simple interest in 14 months on a certain sumat the rate of 6 per cent per annum is Rs 250more than the interest on the same sum at the

rate of 8 per cent in 8 months. How much amountwas borrowed?

(1) Rs 15,000 (2) Rs 25,000

(3) Rs 7,500 (4) Rs 14,500

(5) None of these

25. In what time will a sum of money double itself at5% per annum simple interest being charged?



(5) None of these

26. At what rate per cent simple interest will a sum of

money double itself in 20 years?

(1) 4% (2) 3%

(3) 5% (4) 7%

(5) None of these

27. Nitin obtained an amount of Rs 8376 as simple

interest on a certain amount at 8 p.c.p.a. after 6years. What is the amount invested by Veena?

(1) Rs 17180 (2) Rs 18110

(3) Rs 16660 (4) Rs 17450

(5) None of these

28. The simple interest on a sum of money will be Rs600 after 10 years. If the principal is trebled after5 years, the total interest at the end of 10 years

will be.

(1) Rs 600 (2) Rs 900

(3) Rs 1200 (4) D a t einadequate

(5) None of these

29. In what time will Rs 72 become Rs 81 at 1

64

%

per annum simple interest?


(3) 2.5 years (4) D a t einadequate

(5) None of these

30. A sum of Rs 1500 is lent out in two parts in such away that the simple interest on one part at 10%per annum for 5 years is equal to that on the secondpart at 12.5% per annum for 4 years. The sumlent out at 12.5% is

(1) Rs 500 (2) Rs 1000

(3) Rs 750 (4) Rs 1250

(5) None of these

31. Simple interest on a certain sum at a certain annualrate of interest is 1/9 of the sum. If the numbersrepresenting rate per cent and time in years be

equal, then the rate of interest is

(1) 5 % (2) 6.6 %

(3) 8% (4) 3.33%

(5) None of these

32. Simple interest on a certain amount is 9/16 of the

principal. If the numbers representing the rate ofinterest in per cent and time in years be equal,then time for which the principal is lent out is

(1) 7.5 years (2) 6 years


(5) None of these

33. A lends Rs. 2500 to B and a certain sum to C atthe same rate at 7 % per annum, simple interest.If after 4 years, A altogether receives Rs.1120 asinterest from B and C, then the sum lent to C is

(1) Rs. 1000 (2) Rs. 1500

(3) Rs. 1200 (4) Rs. 1250

(5) None of these

34. Two equal sums of money were lent at simpleinterest at 11 % per annum for 3.5 years and 4.5

years respectively. If the difference in interestsfor two periods was Rs. 421.50, then each sum is

(1) Rs. 5100 (2) Rs. 3000

(3) Rs. 1800 (4) Rs. 2500

(5) None of these

35. If the simple interest on a certain sum for 15months at 7.5 % per annum exceeds the simpleinterest on the same sum for 8 months at 12.5 %

per annum by Rs. 32.50, then the sum is

(1) Rs. 3500 (2) Rs. 6000

(3) Rs. 3120 (4) Rs. 4200

(5) None of these

36. Roshan invests a certain sum of money at 6% perannum simple interest and another sum at 7 %

per annum simple interest. His income frominterest after 2 years was Rs. 354. One-fourth ofthe first sum is equal to one-fifth of the secondsum. The total sum invested was

(1) Rs. 2700 (2) Rs. 2500

(3) Rs.2200 (4) Rs. 3000

(5) None of these

37. A borrowed some money from B at 12 % perannum simple interest for 3 years. He then added

some more money to be borrowed sum and lent itto C for the same period at 14% per annum rateof interest. If A gains Rs. 93.90 in the whole

transaction, then how much money did he add fromhis side?

(1) Rs. 110 (2) Rs. 105

(3) Rs. 120 (4) Rs. 190

(5) None of these

38. Tina borrowed Rs. 500 @ 3 % per annum simpleinterest and Rs. 600 @ 4.5% per annum on theagreement that the whole sum will be returned

only when the total interest becomes Rs. 126. Thenumber of years, after which the borrowed sumis to be returned, is



(5) None of these

39. A lends Rs. 5000 to B for 2 years and Rs. 3000 to

C for 4 years on simple interest at the same rateof interest and received Rs. 2200 in all from both

of them as interest. What is the rate of interestper annum?

(1) 5.5 % (2) 10%

(3) 8% (4) 3.33%

(5) None of these

40. A sum of Rs. 725 is lent in the beginning of a year

at a certain rate of interest. After 8 months, a sumof Rs. 362.50 more is lent but at the rate twice theformer. At the end of the year, Rs.33.50 is earned

as interest from both the loans. What was original

rate of interest?

(1) 3.46% (2) 6 %

(3) 9% (4) 3.33%

(5) None of these

41. The difference between the simple interestreceived from two different sources on Rs.1500

for 3 years is Rs 13.50. The difference betweentheir rate of interest is

(1) 1.5 % (2) 0.3 %

(3) 2% (4) 0.5%

(5) None of these

42. Chitra invested an amount of Rs 12,000 at the rateof 10 % per annum simple interest and anotheramount at the rate of 20 % simple interest. The

total interest earned at the end of the year on thetotal amount invested became 14 % per annum.Find the total amount invested.

(1) Rs. 18000 (2) Rs. 18750

(3) Rs. 25,000 (4) Rs. 15,000

(5) None of these

43. What should be the least number of years in whichthe simple interest on Rs. 2600 at 6.5% will be anexact number of rupees?

(1) 2 (2) 1

(3) 4 (4) 5

(5) None of these

44. The rate of simple interest in two banks A and Bare in the ratio 5:4. A person wants to deposit histotal savings in two banks in such a way that he

received equal half-yearly interest from both. Heshould deposit the savings in banks A and B in theratio

(1) 4:5 (2) 6:5

(3) 8:7 (4) 3:7

(5) None of these

45. A sum was put at simple interest at a certain rate

for 2 years. Had it been put at 3% higher rate, itwould have fetched Rs. 72 more. The sum is

(1) Rs. 1200 (2) Rs. 1600

(3) Rs. 1130 (4) Rs. 1250

(5) None of these

46. If the annual rate of simple interest from 10% to12.5%, a man’s yearly income increases by

Rs.1250. His principal is

(1) Rs. 55,000 (2) Rs. 37,000

(3) Rs. 50,000 (4) Rs. 35,000

(5) None of these

47. A moneylender finds that due to a fall in the annualrate of interest from 8% to 7.75%, his yearlyincome diminishes by Rs.61.50. His capital is

(1) Rs. 22,500 (2) Rs. 24,000

(3) Rs. 21,000 (4) Rs. 24,600

(5) None of these

48. What annual payment will discharge a debt of Rs.6450 due in 4 years at 5% simple interest?

(1) Rs. 1600 (2) Rs. 1250

(3) Rs. 1500 (4) Rs. 1575

(5) None of these

49. A person takes a loan of Rs. 200 at 5% simple

interest. He returns Rs.100 at the end of the year.In order to clear his dues at the end of 2 years, hewould pay

(1) Rs. 115 (2) Rs. 200

(3) Rs. 120 (4) Rs. 151

(5) None of these

50. The price of a sofa set worth Rs. 20,000 is to bepaid in 20 installments of Rs.1000 each. If the rateof interest be 6% per annum and the firstinstallment be paid at the time of purchase, then

the value of the last installment covering theinterest as well will be

(1) Rs. 12450 (2) Rs. 15500

(3) Rs. 17,000 (4) Rs. 15,000

(5) None of these

51. If the rate increases by 2%, the simple interestreceived on a sum of money increases by Rs. 108.If the time period is increased by 2 years, the simple

interest on the same sum increases by Rs.180.

The sum is

(1) Rs. 1200 (2) Rs. 500

(3) Rs. 60 (4) Rs. 110


52. Geeta invested an amount of Rs. 13,900 dividedin two different schemes A and B at the simple

interest of 14% per annum and 11% per annumrespectively. If the total amount of simple interestearned in 2 years be Rs. 3508, what was theamount invested in scheme B?

(1) Rs. 5600 (2) Rs. 6400

(3) Rs. 8265 (4) Rs. 3124

(5) None of these

53. A sum of Rs. 2600 is lent out in two parts in sucha way that the interest on one part at 10% for 5years is equal to that on another at 9% for 6 years.The sum lent out at 10% is

(1) Rs. 1520 (2) Rs. 1700

(3) Rs. 1345 (4) Rs. 1750

(5) None of these

54. A sum of Rs. 1550 was lent partly at 5% and partlyat 8% per annum simple interest. The total interestreceived after 3 years was Rs.300. The ratio of

the money lent at 5% to that lent at 8% is

(1) 5:3 (2) 16:15

(3) 11:9 (4) 4:3

(5) None of these

55. A sum fetched a total simple interest of Rs.4016.25at the rate of 9% per annum in 5 years. What isthe sum?

(1) Rs. 5132 (2) Rs. 6450

(3) Rs. 7134 (4) Rs. 8925

(5) None of these

56. The simple interest at x% for x years will be Rs. xon a sum of

(1) Rs. 200/x (2) Rs. 5x

(3) Rs. 100/x (4) Rs. 3x

(5) None of these

57. A certain amount earns simple interest of Rs. 1750

after 7 years. Had the interest been 2% more,how much more interest would it have earned?

(1) 5 %

(2) 6.6 %

(3) 8%

(4) Data inadequate

(5) None of these

58. In how many years Rs.150 will produce the same

interest @ 8% as Rs.800 produce in 3 years @4.5%?

(1) 5

(2) 9

(3) 8

(4) Data inadequate

(5) None of these

59. A sum of money becomes 7/6 of itself in 3 yearsat a certain rate of simple interest. The rate perannum is

(1) 47/13% (2) 50/9%

(3) 8% (4) 3.33%

(5) None of these

60. If Rs. 64 amounts to Rs. 83.20 in 2 years, what

will Rs.86 amount to in 4 years at the same rateper cent annum?

(1) 51.60 (2) 66 (3) 43.25(4)42.75 (5) None of these

61. The simple interest on a certain sum of money atthe rate of 5% per annum for 8 years is Rs.840.At what rate of interest the same amount can bereceived on the same sum after 5 years?

(1) 5 % (2) 8 %

(3) 9% (4) 3.33%

(5) None of these

62. The interest on a certain deposit at 4.5% perannum is Rs.202.50 in one year. How much willthe additional interest in one year be ort the samedeposit at 5% per annum?

(1) Rs. 51 (2) Rs. 25

(3) Rs. 80 (4) Rs. 30

(5) None of these

63. At the rate of 8.5% per annum simple interest, a

sum of Rs.4800 will earn how much interest in 2years 3 months?

(1) Rs. 918 (2) Rs. 750

(3) Rs. 860 (4) Rs. 352

(5) None of these

64. What will be the simple interest earned on anamount of Rs.16, 800 in 9 months at the rate of

6.25% per annum?

(1) Rs.512.45 (2) Rs. 787.50

(3) Rs. 816 (4) Rs. 452

(5) None of these

65. The simple interest on Rs.1820 from March 9, 2003to May 21, 2003 at 7.5% rate will be

(1) Rs. 52 (2) Rs. 65

(3) Rs. 87 (4) Rs. 30

(5) None of these

66. A person borrows Rs.5000 for 2 years at 4% perannum simple interest. He immediately lends it toanother person at 6.25% per annum for 2 years.

Find his gain in the transaction per year.

(1) Rs. 125 (2) Rs. 156

(3) Rs. 112.50 (4) Rs. 132

(5) None of these

67. How much time will it take for an amount of Rs.450to yield Rs.81 as interest at 4.5% per annum ofsimple interest?


(3) 5.5 years (4) 3 years

(5) None of these

68. A sum of Rs. 1600 gives a simple interest of Rs.252in 2 years and 4 months. The rate of interest perannum is

(1) 5.35% (2) 5.75%

(3) 8.17% (4) 6.25%

(5) None of these

69. Ranjan took a loan of Rs. 1200 with simple interestfor as many years as the rate of interest. If shepaid Rs.432 as interest at the end of the loan period,

what was the rate of interest?

(1) 5% (2) 6%

(3) 8% (4) 4%

(5) None of these

70. A man took a loan from a bank at the rate of 12%per annum simple interest. After 3 years, he had

to pay Rs.5400 interest only for the period. Theprincipal amount borrowed by him was

(1) Rs. 15,000 (2) Rs. 12340

(3) Rs. 14500 (4) Rs. 10,575

(5) None of these

71. What is the present worth of Rs. 132 due in 2

years at 5% simple interest per annum?

(1) Rs. 525 (2) Rs. 659

(3) Rs. 823 (4) Rs. 350

(5) None of these

72. The simple interest on Rs.1000 for 4 months atthe rate of 3 paise per rupee per month

(1) 110 (2) 135

(3) 156 (4) 132

(5) None of these

73. A sum of money at simple interest amounts toRs.815 in 3 years and to Rs.854 in 4 years. Thesum is

(1) Rs. 544 (2) Rs. 698

(3) Rs. 720 (4) Rs. 351

(5) None of these

74. A sum of money lent out at simple interest amountsto Rs.720 after 2 years and to Rs.1020 after afurther period of 5 years. The sum is

(1) Rs. 522 (2) Rs. 643

(3) Rs. 600 (4) Rs. 350

75. The rate at which a sum becomes four times ofitself in 15 years at S.I. will be

(1) 15 % (2) 20%

(3) 18% (4) 13.33%

76. If a sum of money at simple interest doubles in 6

years, it will become 4 times in



77. A sum of money trebles itself in 15 years 6 months.

In how many years would it double itself?

(1) 15/4 (2) 6

(3) 31/4 (4) 5

(5) None of these

78. The simple interest on a sum of money at 8% perannum for 6 years is half the sum. The sum is

(1) Rs. 1000 (2) Rs. 500

(3) Rs. 120 (4) D a t ainadequate

(5) None of these

79. At what rate per cent per annum will the simpleinterest on a sum of money be 2/5 of the amountin 10 years?

(1) 5 % (2) 6 %

(3) 4% (4) 3.33%

(5) None of these

ANSWERS

15. 116. 117. 218. 419. 320. 221. 222. 223. 124. 125. 226. 327. 428. 3

1. 12. 13. 54. 35. 46. 17. 58. 29. 510. 211. 212. 113. 414. 1

29. 130. 331. 432. 133. 234. 535. 336. 137. 238. 439. 240. 541. 242. 5

43. 244. 145. 146. 347. 448. 349. 150. 551. 552. 253. 354. 455. 456. 3

57. 458. 259. 260. 161. 262. 563. 164. 265. 566. 367. 168. 569. 270. 1

71. 572. 573. 274. 375. 276. 177. 378. 479. 3

COMPOUND INTEREST

1. Mohan invested an amount of Rs 15,000 at

compound interest rate 5% p.a. for a period of 2

years. What amount will be received at the end of

2 years?

(1) Rs 16,537.50 (2) Rs 18, 543.50

(3) Rs 20,302.75 (4) Rs 12,421.50

(5) None of these

2. Rashi invested Rs 16,000 for two years at

compound interest and received an amount of Rs

17,640 on maturity. What is the rate of interest?

(1) 6% p.a. (2) 8% p.a.

(3) 7% p.a. (4) 5% p.a.

(5) None of these

3. Find the amount of Rs 8,000 in 1^- years at 5%

per annum compound interest payable half-yearly.

(1) Rs 7,315.12(2) Rs 8,615.13

(3) Rs 9,247.10(4) Rs 7,415.10

(5) None of these

4. Find the compound interest on Rs 1,000 at 40%

per annum compounded quarterly for 1 year.

(1) Rs 350.12 (2) Rs 361.10

(3) Rs 451.50 (4) Rs 464.10

(5) None of these

5. Rs 50000 is borrowed at CI at the rate of 1% for

the first year, 2% for the second year and 3% for

the third year. Find the amount to be paid after 3

years.

(1) Rs 50353.3 (2) Rs 53055.3

(3) Rs 53505.3 (4) Rs 53053.3

(4) None of these

6. At what rate per cent compound interest will Rs

400 amount to Rs 441 in 2 years?

(1) 4% (2) 5%

(3) 6% (4) 3%

(5) None of these

7. A sum of money placed at compound interest

doubles itself in 6 years. In how many years will it

amount to 16 times itself?



(5) None of these

8. A sum of money placed at compound interest thrice

itself in 4 years. In how many years will it amount

to 27 times itself?



(5) None of these

9. At what rate per cent will the compound interest

does a sum of money become four fold in 2 years?

(1) 150% (2) 100%

(3) 200% (4) 75%

(5) None of these

10. At what rate per cent will the compound interest

does a sum of money become 27 times in 3 years?

(1) 100% (2) 150%

(3) 75% (4) 200%

(5) None of these

11. The simple interest on a certain sum of money for

2 years at 5% per annum is Rs 100. Find the

compound interest at the same rate and for the

same time.

(1) Rs 102.50 (2) Rs 103

(3) Rs 103.50 (4) Rs 309

(5) None of these

12. The compound interest on a certain sum for 2 years

is Rs 105 and simple interest is Rs 100. Find the

rate of interest per annum and the sum.

(1) 10%; Rs 500

(2) 10%; Rs 1000

(3) 20%; Rs 1000

(4) 15%; Rs 1200

(5) None of these


is Rs 60.60 and simple interest is Rs 60. Find the

rate of interest per annum and the sum.

(1) 2%; Rs 1600 (2) 2%; Rs 1400

(3) 3%; Rs 1500 (4) 2%; Rs 1500

(5) None of these

14. On a certain sum of money, the simple interest for

2 years is Rs 150 at the rate of 3% per annum.

Find the difference in CI and SI.

(1) Rs 5 (2) Rs 4.5

(3) Rs 2.5 (4) Rs 2.25

(5) None of these

15. The difference between the compound interest and

the simple interest on a certain sum of money at

4% per annum for 2 years is Rs. 1.40. Find the

sum.

(1) Rs 875 (2) Rs 857

(3) Rs 785 (4) Rs 865

(5) None of these

16. Find the difference between the compound interest

and the simple interest for the sum Rs 625 at 8%

per annum for 2 years.

(1) Rs 3 (2) Rs 4

(3) Rs 4.5 (4) Rs 1.5

(5) None of these

17. Find the difference between the compound interest

and the simple interest for the sum Rs 2500 at 6%

per annum for 2 years.

(1) Rs 9 (2) Rs 8

(3) Rs 7.5 (4) Rs 6

(5) None of these

18. On what sum will the difference between the

simple and compound interest for 3 years at 5 per

cent per annum amount to Rs 12.20?

(1) Rs 1600 (2) Rs 800

(3) Rs 1200 (4) Rs 1500

(5) None of these

19. Find the difference between the simple and

compound interest on Rs 10000 for 3 years at 3

per cent.

(1) Rs 27.8 (2) Rs 27.27

(3) Rs 37.27 (4) Rs 37.8

(5) None of these

20. Find the difference between the simple and

compound interest on Rs 8000 for 3 years at 5 per

cent.

(1) Rs 61 (2) Rs 60

(3) Rs 51 (4) Rs 59

(5) None of these

21. A certain amount of money at compound interest

grows up to Rs 7520 in 15 years and upto Rs 7896

in 16 years. Find the rate per cent per annum.

(1) 10% (2) 8%

(3) 5% (4) 7%

(5) None of these

22. What sum of money at compound interest will

amount to Rs 650 at the end of the first year and

Rs 676 at the end of the second year?

(1) Rs 625 (2) Rs 630

(3) Rs 620 (4) Rs 635

(5) None of these

23. What sum of money at compound interest will

amount to Rs 480 at the end of the first year and

Rs 576 at the end of the second year?

(1) Rs 420 (2) Rs 450

(3) Rs 400 (4) Rs 375

(5) None of these

24. Find the ratio of CI to SI on a certain sum at 5%

per amount for 2 years.

(1) 41:40 (2) 42:41

(3) 43:40 (4) 41:35

(5) None of these

25. Divide Rs 1105 between A and B, so that the A’s

share at the end of 5 years may equal B’s share

at the end of 7 years, compound interest being at

10%.

(1) Rs 505, Rs 600 (2) Rs 605, Rs 500

(3) Rs 705, Rs 400 (4) Rs 625, Rs 480

(5) None of these

26. Divide Rs 6100 between A and B, so that A’s share

at the end of 3 years may equal B’s share at the

end of 5 years, compound interest being at 20%.

(1) Rs 3600, Rs 2500

(2) Rs 3500, Rs 2600

(3) Rs 3400, Rs 2700

(4) Rs 3700, Rs 2400

(5) None of these

27. Kamal purchased a scooter car 4 years ago for

Rs 2 lakh. Its value depreciated each year at the

rate of 2.5% p.a. What is the present value of the

car?

(1) Rs 86,425 (2) Rs 85,242

(3) Rs 84,375 (4) Rs 86,342

(5) None of these

28. Kaya invests Rs 5,000 in a bond which gives

interest at 4% per annum during the first year, 5%

during the second year and 10% during the third

year.

(1) Rs 6,006 (2) Rs 7,216

(3) Rs 3,001 (4) Rs 5,216

(5) None of these

29. The population of a village decreases at the rate

of 20% per annum. If its population 2 years ago

was 10,000, what is its present population?

(1) 6,000 (2) 9,000

(3) 6,400 (4) 7,600

(5) None of these

30. The difference between simple interest and

compound interest on a certain sum of money for

2 years at 4 per cent annum is Re. 1. The sum of

money is

(1) Rs 600 (2) Rs 625

(3) Rs 560 (4) Rs 650

(5) None of these

31. Joy invested an amount of Rs. 8000 in a fixed

deposit scheme for 2 years at compound interest

rate 5% per annum. How much amount will Joy

get on maturity of the fixed deposit?

(1) Rs. 8000 (2) Rs. 7000

(3) Rs. 8820 (4) Rs. 6000

(5) None of these

32. What will be the compound interest on a sum of

Rs. 25,000 after 3 years at the rate of 12% per

annum ?

(1) Rs. 10123.20

(2) Rs. 10000.20

(3) Rs. 10500.20

(4) Rs. 11000.20

(5) None of these

33. The compound interest on Rs.20,480 at 6.25% per

annum for 2 years 73 days , is

(1) Rs. 3000 (2) Rs. 2929

(3) Rs. 4500 (4) Rs. 4600

(5) None of these

34. Sarita invested Rs.15,000 at the rate 10% per

annum for one year. If the interest is compounded

half-yearly, then the amount received by Sarita at

the end of the year will be

(1) Rs. 16000 (2) Rs. 16537.50

(3) Rs. 15000 (4) Rs. 14000

(5) None of these

35. Find the compound interest on Rs.15, 625 for 9

months at 16% per annum compounded quarterly

(1) Rs. 17600 (2) Rs. 18000

(3) Rs. 15000 (4) Rs. 17576

(5) None of these

36. If the simple interest on a sum of money for 2

years at 5% per annum is Rs.50 , then what is the

compound interest on the same sum at the same

rate and for the same time?

(1) Rs. 551.25 (2) Rs. 560.25

(3) Rs. 500 (4) Rs. 600

(5) None of these

37. What will be the difference between simple and

compound interest at the rate 10% per annum on

a sum of Rs. 1000 after 4 years?

(1) Rs. 65 (2) Rs. 80

(3) Rs. 90 (4) Rs. 100

(5) None of these

38. The difference between simple and compound

interest on Rs.1200 for one year at 10% per annum

reckoned half-yearly is

(1) Rs. 5 (2) Rs. 3

(3) Rs. 5 (4) Rs. 10

(5) None of these

39. The compound interest in Rs.30,000 at 7% per

annum is Rs.4347. The period is



(5) None of these

40. At what rate of compound interest per annum will

a sum of Rs. 1200 becomes Rs. 1348.32 in 2 years

?

(1) 6% (2) 8%

(3) 9% (4) 10%

(5) None of these

41. The principal that amounts to Rs 4913 in 3 years

at 6.25% per annum compound interest

compounded annually is

(1) Rs. 5096 (2) Rs. 5000

(3) Rs. 6000 (4) Rs. 3000

(5) None of these

42. The present worth of Rs. 169 due in 2 years at

4% per annum compound interest is

(1) Rs. 150.25 (2) Rs. 160

(3) Rs. 170 (4) Rs. 180

(5) None of these

43. In how many years will a sum of Rs. 800 at 10%

per annum compounded semi- annually becomes

Rs. 926.10?

(1) 3 years (2) 1.5 years


(5) None of these

44. If the compound interest on a sum for 2 years at

12.5 % per annum is Rs.510, the simple interest

on the same sum at the same rate for the same

period of time is

(1) Rs. 500 (2) Rs. 600

(3) Rs. 700 (4) Rs. 480

(5) None of these

45. The simple interest on a certain sum of money for

3 years at 8% per annum is half the compound

interest on Rs.4000 for 2 years at 10% per annum.

The sum placed on simple interest is

(1) Rs. 500 (2) Rs. 800

(3) Rs. 600 (4) Rs. 600

(5) None of these

46. There is 60% increase in an amount in 6 years at

simple interest. What will be the compound interest

of Rs.12, 000 after 3 years at the same rate?

(1) Rs. 1550 (2) Rs. 1800

(3) Rs. 1750 (4) Rs. 2000

(5) None of these


at 10% per annum is Rs.525. The simple interest

on the same sum for double the time at half the

rate per cent annum is

(1) Rs. 4000 (2) Rs. 5000

(3) Rs. 6000 (4) Rs. 7000

(5) None of these

48. The effective annual rate of interest corresponding

to a nominal rate of 6% per annum payable half-

yearly is

(1) 6.09% (2) 8.09%

(3) 10% (4) 11%

(5) None of these

49. A sum of money invested at compound interests

amounts to Rs.800 in 3 years and to Rs 840 in 4

years. The rate of interest per annum is

(1) 10% (2) 7%

(3) 6% (4) 4%

(5) None of these

50. The compound interest on Rs.3000 for 3 years at

12% per annum compounded annually is

(1) Rs. 1500 (2) Rs.2000

(3) Rs. 16000 (4) Rs. 1214.58

(5) None of these

51. The compound interest on Rs.2000 for 2 years at

5% per annum compounded annually is

(1) Rs. 300 (2) Rs. 205

(3) Rs. 400 (4) Rs. 405

(5) None of these

52. Rs. 2000 is invested at annual rate of interest of

10%. What is the amount after two years if

compounding is done annually?

(1) Rs. 5000 (2) Rs. 2420

(3) Rs. 3000 (4) Rs. 3200

(5) None of these

53. What will be the compound interest on a sum of

Rs.25, 000 after 3 years at the rate of 12% per

annum?

(1) Rs. 10123.20 (2) Rs. 11000

(3) Rs. 12000 (4) Rs. 13000

(5) None of these

54. Sheela invested Rs.8000 for 3 years at 5% CI in a

post office. If the interest is compounded once in

a year, what sum will she get after 3 years?

(1) Rs. 10000 (2) Rs. 7000

(3) Rs. 8000 (4) Rs. 8500

(5) None of these

55. A man saves Rs.200 at the end of each year and

lends the money at 5% compound interest. How

much will it become at the end of 3 years?

(1) Rs. 655.02 (2) Rs. 662.02

(3) Rs. 687.52 (4) Rs. 700

(5) None of these

56. What sum will amount to Rs.6655 at 10% per

annum compounded yearly for 3 years?

(1) Rs. 5000 (2) Rs. 3000

(3) Rs. 2500 (4) Rs. 4500

(5) None of these

57. Find the present worth of Rs.9261 due 3 years

hence at 5% per annum compounded yearly.

(1) Rs.7000 (2) Rs. 9000

(3) Rs. 10000 (4) Rs. 8000

(5) None of these

58. Rohan invested Rs. 15,000 at the rate 10% per

annum for one year. If the interest is compounded

half-yearly, then the amount received by Rohan

at the end of the year will be

(1) Rs. 16537.50 (2) Rs. 15000

(3) Rs. 16000 (4) Rs. 13000

(5) None of these

59. What will be the difference in the compound

interest on Rs.50, 000 at 12% for one year when

the interest is paid yearly and half yearly?

(1) Rs. 180 (2) Rs. 200

(3) Rs. 300 (4) Rs. 500

(5) None of these

60. A bank offers 5% compound interest calculated

on half-yearly basis. A customer deposits Rs. 1600

each on 1st January and 1st July of the year. At

the end of the year, the amount he would have

gained by way of interest is

(1) Rs. 150 (2) Rs. 300

(3) Rs. 400 (4) Rs. 121

(5) None of these

61. A sum put out at 4% compound interest payable

half-yearly amounts to Rs. 6632.55 in one year

and 6 months. The sum is

(1) Rs. 6250 (2) Rs. 5000

(3) Rs. 4000 (4) Rs. 3000

(5) None of these


interest on Rs.1200 for one year at 10% per annum

reckoned half yearly is

(1) Rs. 5 (2) Rs. 3

(3) Rs. 7 (4) Rs. 8

(5) None of these

63. What will be the difference between simple and

compound interest at the rate 10 % per annum on

a sum of Rs. 1000 after 4 years?

(1) Rs. 100 (2) Rs. 65

(3) Rs. 150 (4) Rs. 64.10

(5) None of these

64. The difference between the simple interest and

the compound interest on Rs.60 for 1 year at 10%

per annum, reckoned half-yearly is

(1) Rs. 2 (2) Rs. 1.5

(3) Rs. 3.5 (4) Rs. 3

(5) None of these

65. If the simple interest on a sum of money for 2

years at 5% per annum is Rs.50, what is the

compound interest on the same sum at the same

rate and for the same time?

(1) Rs. 51.25 (2) Rs. 100.25

(3) Rs. 125 (4) Rs. 130

(5) None of these

66. The compound interest on Rs. 16,000 at 20% per

annum for 9 months, compounded quarterly is

(1) Rs. 3000 (2) Rs. 2522

(3) Rs. 3500 (4) Rs. 4000

(5) None of these

67. If the compound interest on a certain sum at

16.66% for 3 years is Rs.1270 , the simple interest

on the same sum at the same rate and for the

same period is

(1) Rs. 1080 (2) Rs. 1500

(3) Rs. 2500 (4) Rs. 2000

(5) None of these

68. The compound interest on a sum of money for 2

years is Rs.832 and the simple interest on the same

sum for the same period is Rs.800. The difference

between the compound interest and the simple

interest for 3 years will be

(1) Rs. 100 (2) Rs. 98.56

(3) Rs. 125 (4) Rs. 128

(5) None of these


at 10% per annum is Rs.525. The simple interest

on the same sum for double the time at half the

rate per cent per annum is

(1) Rs. 600 (2) Rs. 500

(3) Rs. 800 (4) Rs. 900

(5) None of these

70. On what sum will the compound interest at 5%

per annum for two years compounded annually

be Rs.1640?

(1) Rs. 15000 (2) Rs. 16000

(3) Rs. 14000 (4) Rs. 12000

(5) None of these

71. What annual rate of interest compounded annually

doubles an investment in 2 years?

(1) 41.4% (2) 12%

(3) 13% (4) 15%

(5) None of these

72. The compound interest on Rs.30,000 at 7% per

annum is Rs. 1331. The required time period is



(5) None of these

73. A certain sum invested at 4% per annum

compounded semi-annually amounts to Rs. 78030

at the end of one year. The sum is

(1) Rs. 85000 (2) Rs.95000

(3) Rs. 80000 (4) Rs. 75000

(5) None of these

74. The difference between the compound interest and

simple interest on a certain sum at 3% for 2 years

is Rs. 1.50. The sum is

(1) Rs. 700 (2) Rs. 800

(3) Rs. 900 (4) Rs. 1000

(5) None of these


interest on Rs.1250 for 2 years at 4% per annum

is

(1) Rs. 3 (2) Rs. 4

(3) Rs. 5 (4) Rs. 6

ANSWERS

15. 116. 217. 118. 119. 220. 121. 322. 123. 324. 125. 226. 127. 528. 1

1. 12. 43. 24. 45. 26. 27. 18. 19. 210. 411. 112. 113. 514. 4

29. 330. 231. 332. 133. 234. 235. 436. 137. 538. 239. 440. 141. 542. 5

43. 244. 445. 546. 547. 548. 149. 550. 451. 252. 253. 154. 555. 256. 1

57. 458. 159. 160. 461. 162. 263. 464. 265. 166. 267. 168. 269. 270. 2

71. 172. 373. 474. 575. 576. 577. 178. 4

(5) None of these

76. If the compound interest on a certain sum for 2

years is Rs.105 and simple interest is Rs. 100, then

the sum is

(1) Rs. 700 (2) Rs. 600

(3) Rs. 800 (4) Rs. 900

(5) None of these

77. The difference between the simple interest and

the compound interest compounded annually at the

rate of 12% per annum of Rs.5000 for two years

will be

(1) Rs. 72 (2) Rs. 100

(3) Rs. 300 (4) Rs. 400

(5) None of these

78. Find the compound interest on Rs.1000 at 6%

compounded semi-annually for 6 years?

(1) Rs. 500 (2) Rs. 425.76

(3) Rs. 500 (4) Rs. 425.76

(5) None of these

Documents

NUMBER SYSTEM and the third number is 77. The sum of the third and thrice the first number is 104. What is the third number? (1) 25 (2) 39 (3) 48 (4) 54 (5) None of these 24.The difference