SSC Mains MATHS 4 (1)

Centres at: MUKHERJEE NAGAR UTTAM NAGAR SHAKARPUR ROHINI

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1. Average age of a couple is 25 years at the time of marriage. After 3 years, they have a 2 year

old baby. The average age of the family is

(A) 29 years (B)

(C) (D)

2. A shopkeeper allows a discount of 10% on the marked price. How much above cost price must

he mark his goods (in rupees) to gain 8% ?

(A) 110 (B) 120

(C) 108 (D) 118

3. A gardener has 1000 plants. He wants to plant them in such a way that the number of rows and

columns remains same. Then what will be the. minimum number of plants he will need for

this ?

(A) 35 (B) 25

(C) 24 (D) 34

4. Find the cube root of 0.037 .

(A) 0.3 (B) 0.27

(C) 0.37 (D) 0.6

5. The ratio of three numbers is 2 : 3 : 5 and their product is 10290. The numbers respectively

are

(A) 35, 21, 14 (B) 21, 14, 35

(C) 14, 21, 35 (D) 14, 35, 21

6. In an alloy of brass, the ratio of copper to zinc is 7 : 4. If 6 kg of zinc be added in 33 kg of such

a quality of brass, then the new ratio of copper to zinc is

(A) 5 : 4 (B) 6 : 5

(C) 7 : 6 (D) 8 : 7

7. Tapas deposited a certain sum of money in a post office at 12% p.a. for 4 years and deposited an

equal amount in a bank for 5 years at 15% p.a. If the difference in the interest from the two

sources is ` 1,890, the sum deposited in each case is

(A) ` 5,000 (B) ` 9,000

(C) ` 7,000 (D) ` 8,000

8. A man rides at the rate of 350 metres per minute and stops 6 minutes to change horses at the

end of every sixth kilometre. Then to travel a distance of 84 km, the time taken by the man is

(A) 3 hr. 15 min (B) 6 hr. 17 min

(C) 5 hr. 18 min (D) 2 hr. 17 min

9. 4 men and 6 women can complete a work in 8 days, while 3 men and 7 women can complete it

in 10 days. The ratio of the daily work done by a man and a woman is

(A) 11 : 1 (B) 7 : 4

(C) 5 : 3 (D) 9 : 8

10. If x = r sinA cosC, y = r sinA sinC and z = r cosA, then x2+y2+z2 is equal to.

(A) 1 - r2 (B) r2

(C) 1 + r2 (D) 1

vadxf.krh; ;ksX;rk


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11. A fountain, 50 metres off the base of a pillar on the same level ground was visible from

rd1

3

height of the pillar at 30 angle of depression. Then the height of the pillar is

(A) 150 m (B)150

3 m

(C)50

3 m (D) 50 3 m

12. Two circles of radii 4 cm and 5 cm have centres at A and B respectively. They bouch each

other externally. Then the area of the circle having AB as diameter is

(A)81

sq. cm4 (B)

9 sq. cm

4

(C) sq. cm4

(D)

49 sq. cm

4

13. Perimeters of a rectangle and a square are equal. Which of the following is true ?

(A) Area of rectangle > Area of square

(B) Areas of rectangle and square are equal

(C) Area of square > Area of rectangle

(D) Comparison of areas is not possible

14. The sum of length, breadth and height of a cuboid is 19 cm and its diagonal is 11 cm. Find the

surface area of the cuboid, in cm2.

(A) 120 (B) 140

(C) 160 (D) 240

15. Find be real, the minimum value of 4x2+4x+9 is

(A)4

3(B) 8

(C)1

2 (D) 9

16. If x = 1 + 2 + 3 , then x + 1

x 1 is

(A) 1 - 2 3 (B) 1 2 3

(C) 3 2 1 (D) 1 2 3

17. If (x-2a) (x-5a) (x-8a) (x-11a)+ka4 is a perfect square, then the value of K is

(A) 81 (B) 49

(C) 64 (D) 72

Directions : The following is the bar chart of Results of Annual Examination of boys and girls of

classes y to X. Study the bar chart and answer the questions no. 42 to 45.

Boys Girls


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18. In which standard is the filure of girls 44.

(A) X (B) IX

(C) VI (D) VIII

19. In which standard is the result of boys less than the average result of the girls?

(A) IX (B) VI

(C) X (D) VII

20. In which pair of standard are the results of girls and boys in inverse proportion?

(A) VI & IX (B) V & VI

(C) V & X (D) VI & VIII

21. In which standard is the result is the result of girls more than the avarage result of the boys

for the school?

(A) VIII (B) VI

(C) IX (D) X

Direction: The following pie chart shows the different transport used by the student to come to

school. Total number of student = 7200. Study th pie chart and answer the question 22 to 26.

22. The vehicle in which 1000 students are coming to school is

(A) Bus (B) Car

(C) Cycle (D) Two-wheeler

23. Number of student who come either on foot or by bus in

(A) 1000 (B) 600

(C) 400 (D) 1400

34. The ratio of number of student who come on foot to the student who used two-wheeler is


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(A) 1 : 2 (B) 1 : 6

(C) 1 : 3 (D) 6 : 1

25. Ratio of student who come by car to that of cycle is

(A) 5 : 4 (B) 6 : 11

(C) 11 : 6 (D) 6 : 5

26. Ths student who come by cycle and bus exceed the student who come by two-wheeler by

(A)1

10 %9

(B) 10%

(C)1

11 %9

(D) 11%

27. A field is in the form of a ractangle of lengt 18m and width 15m. A pit, 7.5m long, 6 m. broad and

0.8 m deep, is dug in a corner the field and the earth taken out iss evenl spread over the

remaining area of the filed the level of the field raised is

(A) 12 cm (B) 14 cm

(C) 16 cm (D) 18 cm

28. The last digit, that is th digit in the unit's place of the number [(57)25-1] is

(A) 6 (B) 8

(C) 0 (D) 5

29. The sum of five consecutive integers is a and the sum of next five consecutive integers is b.

Then (b a)

100

is equal to

(A)1

4(B)

1

2

(C) 4 (D) 2

30. A number N is a positive three-digit number If x is in its hundred's place and y is in its unit's

place, then the number N - 100x-y is always divisible by

(A) 8 (B) 9

(C) 10 (D) 11

31. The ratio alcohol and water in 40 litres of mixture is 5 : 3.- 8" litres of the mixture is removed

and replaced with water. Now, the ratio of the alcohol and water in the resultant mixture is

(A) 1 : 2 (B) 1 : 1

(C) 2 : 1 (D) 1 : 3

32. Rama's expenditure and savings are in the ratio 3 : 2. His income increases by 10 percent. His

expenditure also increases by 12%. His savings increases by

(A) 7% (B) 10%

(C) 9% (D) 13%

33. Ten years ago, the average age of P and Q Was 20 years. Average age of P, Q and R is 30 years

now. After 10 years, the age of R will be

(A) 35 years (B) 40 years

(C) 30 years (D) 45 years

34. The average value of the numbers 15, 21, 32, 35, 46, x, 59, 65, 72 should be greater than or

equal to 43 but less than or -equal to 44. Then the value of x should be

(A) 42 51 x (B) 13 50 x


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(C) 42 49 x (D) 43 50 x

35. The base of right pyramid is a equilateral triangle of side 4 cm. The height of the pyramid is

half of its slant height. Its volume is

(A)28 2 cm

9(B)

27 3 cm9

(C)28 3 cm

9(D)

27 2 cm9

36. Water flows in a tank 150m 100m at the base, through a pipe whose cross-section is 2 dm by

1.5 dm, at the speed of 15 km per hour. In what time will the water be 3 metres deep?

(A) 100 hours (B) 120 hours

(C) 140 hours (D) 150 hours

37. A tent is of the shape of a right circular cylinder upto a height of 3 metres and then becomes

a right circular cone with maximum height of 13-5 metres above the ground. If the radius of

the base is 14 metres, the cost of painting the inner side of the tent at the rate of ` per square

metre is

(A) ` 2,050 (B) ` 2,060

(C) ` 2,068 (D) ` 2,080

38. Rahim bought a gift item for ` 510 after getting a discount fo 15%. He then sells it 5% above the

marked price. The profit earned in this deal is

(A) ` 150 (B) ` 120

(C) ` 100 (D) ` 90

39. If x+y+z = 1, xy+yz+zx = -1, xyz = -1, then x 2+y2+z2 is

(A) 2 (B) 1

(C) 0 (D) 1

40. If 2 3

x 3 , x 0x x

, then the value of 2

2

1x

x is

(A)1

23

(B) 2

23

(C)4

29

(D)5

29

41. A fruit seller bought 240 bananas at the rat of ` 48 per dozen. He sells 1

2 of then at the rate of

` 5 per bananna. 1

6th of the remaining are found to be rotten. The price per bananan at which

he has to sell the remaining bananas to get a profit of 25% on his entire investment is

(A) ` 5.5 (B) ` 6.0

(C) ` 5.0 (D) ` 6.5

42. If a train runs at 40 km/hr, it reaches its destination late by 11 minutes, but if it runs at 50

km/hr, it is late by 5 minutes only. Find the correct timefor the train to complete its journey.

(A) 19 minutes (B) 20 minutes

(C) 21 minutes (D) 18 minutes

43. If x 2+y 2+z 2+2=2(yx) , then value of x 3+y 3+z 3 is equal to


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(A) 0 (B) 1

(C) 2 (D) 3

44. The distance between the centres of the two circles with radii 4 cm and 9 cm is 13 cm. The

length of the direct common tangent (between two points of contact) is

(A) 13 cm (B) 153 cm

(C) 12 cm (D) 18 cm

45. The external bisector of ABC of ABC intersects the straight line through A and parallel to

BC at the point D. If ABC 50 then measure of ADB is

(A) 65 (B) 55

(C) 40 (D) 20

46. The tangents drawn at P and Q on the circumference of a circle intersect at A. If PAQ 68 , then

the measure of th APQ is

(A) 56 (B) 68

(C) 28 (D) 34

47.

22

22

0.001930.307

0.01933.07

(A) 100 (B) 101 (C) 1000 (D) 99

48. Two candles of same height are lighted at the same time. The first takes 4hrs and and thesecond candle takes 3hrs to burn completely. Assuming that both the candles burn at a constantrate, then in how much time the ratio of the heights of the candles will become 2:1.

(A) 2 hr. 24 min. (B) 2 hr. 48 min. (C) 3 hrs. (D) 2 hrs.

49. In an examination 80% students passed in hindi and 75% in mathematics. 18% studentsfailed in both subjects. If 438 students passed in both the subjects then how many studentsappeared for the exams?

(A) 600 (B) 650 (C) 700 (D) 580

50. A cow is sold at a profit of 8%. If it was bought 20% less and sold at 40% profit,then the person

gets Rs. 640 more than earlier. Find th CP of the cow.

(A) 16000 (B) 18000 (C) 20000 (D) 14000

51. A merchant decides the price of its commodities in such a way that even after providing a

discount of 10% he makes a profit of 15%. If the merchant buys the commodity for Rs. 720,then the marked price of commodity is

(A) 920 (B) 900 (C) 890 (D) 950

52. Mr. Chandan lends 1/3 of his income at 7% ,5

2at 10% and rest of his income at 12% interest.

After two years his interest is Rs. 1430, then find the initial amount that he had lend.

(A) 7500 (B) 7000 (C) 8000 (D) 6800

53. In the production of a car three types of costs are involved. Cost of raw material, expenditure

on labour and miscellaneous costs. Ratio of expenditure on these cost in any year is 4:3:2. Inthe next year cost of raw material increased by 10%, expenditure on labour increased by 8%

and miscellaneous expenditure decreased by 5%. Find the percentage rise in the cost of car.

(A) 6% (B) 8% (C) 10% (D) 5%

54. 5 men and 5 women can complete at work in 12 days. Same work is completed by 3 men and

15 women in 10 days .In how much time 4 men and 3 women can complete 3/2 times of thework ?

(A) 24 (B) 30 (C) 20 (D) 26


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55. The combined income of A, B and C is Rs. 14, 400. Percentage of expenditure by them is 80%,

85% and 75% respectively. If their savings are in the ratio of 8 : 9 : 20,find their individualincomes.

(A) 3200, 4800, 6400 (B) 3000, 4000, 7200 (C) 3500, 4300, 6400 (D) None of these

56. What number must be deduced from 3, 5, 6, 7 so that they become proportionate to one another?

(A) 9 (B) 10 (C) 8 (D) 6

57. A and B can complete a work in 6 days. A and C can complete the same work in 2

12 days less

than B and C. A, B and C can complete the same work in 5 days. A, B and C can individually dothe work in.

(A) 10, 15, 30 (B) 10, 15, 20 (C) 15, 10, 30 (D) 10, 20, 30

58. A steam engine can run at a speed of 24 km/hr without any coach. The decrease in the speed

of the engine is directly proportional to the square root of the number of coaches attached.

With 4 coaches speed of the engine becomes 20 km/hr.Find the number of coaches that can

be exactly pulled by the engine.

(A) 143 (B) 144 (C) 142 (D) 141

59. If the length of a rectangular field is increased by 14m and breadth is decreased by 6 m. then

its area remains the same. If the length is decreased by 14 m and breadth increased by 10m

then also area remains the same. The length and breadth of rectangle are.

(A) 56, 30 (B) 40, 30 (C) 35, 40 (D) None of these

60. If 2

3x then

xx

xx

11

11

(A) 3 (B) 2 (C) 2 (D) 5

61. A runs two times faster than B. And B runs three times faster than C. If C covers any distance

in 1 hour 54 minutes, the time taken by B to cover the same distance is

(A) 19 minutes (B) 38 minutes (C) 51 minutes (D) 57 minutes

62. If 625 x , then the value of

xx

1 is

(A) 22 (B) 23 (C) 32 (D) 33

63. If 101p , then the value of

3 2 133 ppp is

(A) 100 (B) 101 (C) 102 (D) 1000

64. Value of 22738

74

is

(A) 3 (B) -1 (C) 1 (D) 3

65. The ratio of the numbers of boys and girls in a school was 5 : 3. Some new boys and girls were

admitted to the school, in the ratio 5 : 7. At this, the total number of students in the school

became 1200, and the ratio of boys to girls changed to 7 : 5. The number of students in the

school before new admission was

(A) 700 (B) 720 (C) 900 (D) 960

66. A mixture contains wine and water in the ratio 3 : 2 and another mixture contains them in


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the ratio 4 : 5. How many litres of the latter must be mixed with 3 litres of the former so that

the resulting mixture may contain equal quantities of wine and water?

(A) 5

25 litres (B)

3

25 litres (C)

2

14 litres (D)

4

33 litres

67. The value of %570.0080.092 3 of 2.80 is

(A) 0 (B) .01 (C) -1 (D) .001

68. Two trains of equal length take 10 seconds and 15 seconds respectively to cross a telegraphpost. If the length of each train be 120 metres, in what time (in seconds) will they cross eachother travelling in opposite direction?

(A) 16 (B) 15 (C) 12 (D) 10

69. In a family of 8 adults and some minors, the average consumption of rice per head per monthis 10.8 kg; while the average consumption for adults is 15 kg per head and for minors it is 6 kgper head. The number of minors in the family is

(A) 8 (B) 6 (C) 7 (D) 9

70. The price of an article was increased by r%. Later the new price was decreased by r% . If thelatest price was Re 1, then the original price was

(A) Re 1 (B) Rs. 100

1 2r(C) Rs.

100

1 2r(D)Rs.

210000

10000

r

71. The average of 8 numbers is 20. The average of first two number is2

115 and that of the next

three is 3

121 . If the sixth number be less than the seventh and eighth number by 4 and 7

respectively, then the eighth number is

(A) 18 (B) 22 (C) 25 (D) 27

72. Fresh fruit contains 68% water and dry fruit contains 20% water. How much dry fruit can beobtained from 100 kg of fresh fruits?

(A) 32 kg (B) 40 kg (C) 52 kg (D) 80 kg

73. The lowest value among

320.2,0.2-0.2,- and

40.2 is

(A) -0.2 (B)

20.2 (C)

30.2 (D)

40.2

74. 1 + 2 + 3 + 4 + ..... + 99 + 100 + 99 + ..... + 3 + 2 + 1 is equal to

(A) 1000 (B) 10000 (C) 200 (D) 500

75. If 14

5:

7

2 ,

3

1:

9

2 b:ca:b and

5

3:

10

7c:d then dcba ::: is

(A) 4 : 6 : 7 : 9 (B) 16 : 24 : 30 : 35 (C) 8 : 12 : 15 : 7 (D) 30 : 35 : 24 : 16

76. 8% of the voters in election did not cast their votes. In this election, there were only twocandidates. The winner by obtaining 48% of the total votes defeated his contestant by 1100votes. The total number of voters in the election was

(A) 21000 (B) 23500 (C) 22000 (D) 27500

77. A number consists of two digits such that the digit in the ten's place is less by 2 than the digitin the unit's place. Three times the number added to 6/7 times the number obtained byreversing the digits equals 108. The sum of digits in the number is

(A) 8 (B) 9 (C) 6 (D) 7

78. The total earnings of A, B and C are Rs. 76000 and they save 30%, 25% and 20% of theirincomes respectively. If their savings are in the ratio of 4 : 5 : 6, then the total earnings of A


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and B is more than the earnings of C by

(A) Rs. 2000 (B) Rs. 3000 (C) Rs. 6000 (D) Rs. 4000

79. Water is drawn out of a full tank. The shape of the tank is cuboid of length 3 m, breadth 1.4 mand depth 80 cm. If the rate of water flowing out is 100 cm3/sec, then water level (in cms) inthe tank after 5 minutes is

(A) 7

179 (B)

7

279 (C)

7

169 (D)

7

269

80. A takes twice as much time as B and thrice as much time as C to finish piece of work.Working together, they can finish the work in 2 days. The number of days required by B to dothe work alone is

(A) 4 (B) 6 (C) 8 (D) 12

81. A pipe can fill a tank in 8 minutes and another pipe can empty 6 kilolitres of water in 1minute. If both the pipes are opened together the empty tank can be filled up in 20 minutes.The capacity of the tank (in kilolitres) is

(A) 50 (B) 60 (C) 75 (D) 80

82. A contractor engaged 100 labourers for a construction work to be completed in 96 days. Butonly 1/7 of the work was done in 1/6th of the sceduled time. The additional number of labourers

that will be required to complete the work in time, is

(A) 20 (B) 40 (C) 30 (D) 15

83. 94939291 4444 is divisible by

(A) 17 (B) 13 (C) 11 (D) 3

84. The value of 3 3 49722165921 is

(A) 4 (B) 5 (C) 6 (D) 8


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1. fookg ds le; ,d tksM+s dh vkSlr vk;q 25 o"kZ gSA rhu o"kksZa ckn] muds 2 o"kZ dk ,d cPpk Hkh gSA rUnuqlkj ml ifjokj dhvkSlr vk;q fdruh gS\

(A) 29 o"kZ (B) 1

193o"kZ (C)

217

3o"kZ (D) 20 o"kZ

2. ,d nqdkunkj viuh phtksa ds vafdr ewY; ij 10 NwV nsrk gSA rnuqlkj mls mu phtksa ij 8 ykHk izkIr djus ds fy, vafdrewY; dks ykxr ewY; ls fdruk T;knk ( ` esa) j[kuk pkfg,\

(A) 110 (B) 120 (C) 108 (D) 118

3. ,d ekyh ds ikl 1000 ikS/s gSaA og pkgrk gS fd mUgsa bl rjg yxk, rkfd iafkQ;ksa vkSj LraHkksa dh la[;kvksa esa ,d lekurk jgsArnuqlkj] mls blds fy, de ls de fdrus ikS/s dh vfrfjDr t:jr iM+sxhA

(A) 35 (B) 25 (C) 24 (D) 34

4. 0.037 dk ?ku ewy Kkr dhft,A

(A) 0.3 (B) 0.27 (C) 0.37 (D) 0.6

5. rhu la[;kvksa dk vuqikr 2%3%5 gS vkSj mudk xq.kuiQy 10290 gSA rnuqlkj os la[;k, e'k% gSA

(A) 35, 21, 14 (B) 21,14,35 (C) 14,21,35 (D) 14,35,21

6. ihry dh ,d feJ/krq esa] rkacs vkSj tLrs dk vuqikr 7 % 4 gSA rnuqlkj ;fn 33 fdxzk ihry dh ml izdkj dh feJ/krq esa 6fdxzk tLrk vkSj feyk fn;k tk,] rks mlesa rkacs vkSj tLrs dk u;k vuqikr fdruk gks tk,xk\

(A) 5 : 4 (B) 6:5 (C) 7:6 (D) 8:7

7. rkil us ,d /ujkf'k Mkd?kj esa 12 okf"kZd C;kt ij 4 o"kksZa ds fy, tek dh vkSj mruh gh /ujkf'k ,d cSad esa 15 okf"kZdC;kt ij 5 o"kksZa ds fy, tek dhA rnuqlkj ;fn mu nksuska L=kksarksa ls izkIr C;kt dk varj ` 1]890 dk gks] rks tek dh xbZ izR;sd/ujkf'k fdruh Fkh\

(A) ` 5,000 (B) ` 9,000 (C) ` 7,000 (D) ` 8,000

8. ,d O;fDr 350 ehVj izfr feuV dh xfr ls ?kqM+lokjh djrk gS vkSj izR;sd N% fdyksehVj ckn viuk ?kksM+k cnyus ds fy, 6 feuV:d tkrk gSA rnuqlkj ml O;fDr dks 84 fdeh dh nwjh rd tkus esa dqy fdruk le; yxsxk\

(A) 3 ?kaVs 15 feuV (B) 6 ?kaVs 17 feuV

(C) 5 ?kaVs 18 feuV (D) 2 ?kaVs 17 feuV

9- 4 iq:"k vkSj 6 fL=k;k ,d dk;Z 8 fnuksa esa iwjk dj ldrs gSa] tcfd 3 iq:"k vksj 7 fL=k;k ogha dk;Z 10 fnuksa esa dj ldrs gSaA rnuqlkj,d iq:"k rFkk ,d L=kh }kjk izfrfnu fd, x, dk;Z dk vuqikr fdruk gksxk\

(A) 11 % 1 (B) 7 % 4 (C) 5 % 3 (D) 9 % 8

10- ;fn x = r sin A cos C, y = r sin A sin C rFkk z = r cos A, rks x2 + y2 z2 fdlds cjkcj gksxk\

(A) 1 r2 (B) r2 (C) 1 + r2 (D) 1

11- ,d [kaHks dh vk/kj&Hkwfe ls 50 ehVj dh nwjh dk ,d iQkSokjk [kaHks dh 1

3mQpkbZ ds Lrj ls 300 ds voueu dks.k ds vk/kj ij

n'kZuh; gSA rnuqlkj ml [kaHks dk mQpkbZ fdruh gS\

(A) 150 ehVj (B) 150

3 ehVj (C)

50

3 ehVj (D) 50 3 ehVj

12- 4 lseh rFkk 5 lseh f=kT;k okys nks o`kksa ds dsanz e'k% A rFkk B gSaA os ijLij ckgj ls Li'kZ djrs gSaA rnuqlkj ml o`k dk {ks=kiQyfdruk gksxk] ftldk O;kl AB ds cjkcj gks\

(A) 81

4oxZ lseh- (B)

9

4oxZ lseh- (C)

4

oxZ lseh- (D)

49

4oxZ lseh-


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13- ,d vk;r rFkk ,d oxZ ds ifjeki cjkcj gSA rnuqlkj fuEu esa ls dkSu&lk lgh gS\

(A) vk;r dk {ks=kiQy > oxZ dk {ks=kiQy (B) vk;r rFkk oxZ ds {ks=kiQy cjkcj gS

(C) oxZ dk {ks=kiQy > vk;r dk {ks=kiQy (D) {ks=kiQyksa dh rqyuk laHko ugha gSA

14- ,d yacdksf.kd lekukarj ?kV~iQyd (vk;riQydh) dh yackbZ] pkSM+kbZ vkSj mQpkbZ dk ;ksxiQy 19 lseh- gS vkSj mldk fod.kZ IIlseh gSA rnuqlkj mldh i"`Bh; {ks=kiQy lseh2 esa fdruk gksxk\

(A) 120 (B) 140 (C) 160 (D) 240

15- ;fn x okLrfod gks] rks 4x2 + 4x + 9 dk U;wure eku D;k gksxk\

(A) 4

3(B) 8 (C)

1

2 (D) 9

16- ;fn x 1 2 3 gks rks 1

xx 1

fdruk gksxk\

(A) 1 2 3 (B) 1 2 3 (C) 3 2 1 (D) 1 2 3

17- ;fn 4(x 2a)(x 5a)(x 8a)(x 11a) ka iw.kZ oxZ gks] rks k dk eku fdruk gksxk\

(A) 81 (B) 49 (C) 64 (D) 72

funsZ'k% uhps ,d ,slk LraHk&vkjs[k gS] ftlesa d{kk v ls x rd dh okf"kZd ijh{kkvksa esa yM+ds vkSj yM+fd;ksa ds ijh{kkiQy n'kkZ,x, gSaA bl LraHk&vkjs[k dk v;;u djuds iz'u la- 18 ls 21 rd ds mkj nhft,A

yM+ds yM+fd;k

18- fdl d{kk esa yM+fd;ksa dh vliQyrk lcls de jgh gS\

(A) X (B) IX (C) VI (D) VIII

19- fdl d{kk esa yM+dksa dk ijh{kkiQy yM+fd;ksa ds vkSlr ijh{kkiQy ls de jgk gSA\

(A) IX (B) VI (C) X (D) VII

20- fdu d{kkvksa ds tksM+s esa yM+fd;ksa vkSj yM+dksa ds ijh{kkiQy foijhr vuqikr esa gS\

(A) VI rFkk IX (B) V rFkk VI (C) V rFkk X (D) VI rFkk VIII

21- fdl d{kk esa yM+fd;ksa dk ijh{kkiQy] fo|ky; esa yM+dksa ds vkSlr ijh{kkiQy ls T;knk gS\

(A) VIII (B) VI (C) IX (D) X


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funsZ'k% fuEu ikbZ&pkbZ esa Ldwy ds fy, Nk=kksa }kjk fofHkUu okguksa ds iz;ksx dks n'kkZ;k x;k gSA Nk=kksa }kjk fofHkUu okguksa ds iz;ksxdks n'kkZ;k x;k gSA Nk=kksa dh dqy la[;k 7200 ikbZ&pkVZ dk v;;u djds iz'u la[;k 22 ls 26 rd ds mkj nhft,A

22- og okgu dkSu lk gS] ftfldk iz;ksx djds 100 Nk=k Ldwy vkrs gSa\

(A) cl (B) dkj (C) lkbfdy (D) f}ifg;k

23- mu Nk=kksa dh la[;k fdruh gS] tks iSny ;k cl }kjk vkrs gSa\

(A) 1000 (B) 600 (C) 400 (D) 1400

24- iSny vkSj f}ifg;k okgu dk iz;ksx djds vkus okys Nk=kksa ds chp dk vuqikr fdruk gS\

(A) 1 % 2 (B) 1 % 6 (C) 1 % 3 (D) 6 % 1

25- dkj ls vkus okys vkSj lkbfdy ds vkus okys Nk=kksa ds chp dk vuqikr D;k gS\

(A) 5 % 4 (B) 6 % 11 (C) 11 % 6 (D) 6 % 5

26- lkbfdy rFkk cl ls vkus okys Nk=kksa dh la[;k f}ifg;k okgu ls vkus okys Nk=kksa ls fdruh T;knk gS\

(A) 1

10 %9

(B) 10% (C) 1

11 %9

(D) 11%

27- ,d [ksr 18 m yacs vkSj 15 m pkSM+s vk;r ds :Ik esa gSA [ksr ds ,d dksus essa 7-5 m yack] 6 m pkSM+k vkSj 0-8 m xgjk xM~


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Ph:011-27607854 9868182639, 9213169353

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(C) 2 % 1 (D) 1 % 3

32- jke dk O;; vkSj cpr 3 % 2 ds vuqikr esa gSA mldh vk; esa 10 izfr'kr dh o`f gksrh gS vkSj mldk O;; Hkh 12 c


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Ph:011-27607854 9868182639, 9213169353

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(A) 1

23

(B) 2

23

(C) 4

49

(D)5

29

41- ,d iQy fosrk us ` 48 izfr ntZu dh nj ls 240 dsys [kjhnsA mlus muesa ls 1

2(vk/s) ` 5 izfr dsyk dh nj ls cspsA 'ks"k dk

1

6[kjkc gks x,A vius laiw.kZ fuos'k ij 25 dk ykHk ikus ds fy, mls vius 'ks"k dsys fdl dher ij cspus gksaxs\

(A) ` 5-5 (B) ` 6-0

(C) ` 5-0 (D) ` 6-5

42- ;fn ,d jsyxkM+h 40 km/hr ij pyrh gS] rks vius xarO; LFkku ij 11 feuV foyac ls igqprh gS] fdUrq f;n og 50 km/hr ij pys] rks dsoy 5 feuV foyac ls igqprh gSA viuh ;k=kk iwjh djus ds fy, jsyxkM+h dk lgh le; Kkr dhft,A

(A) 19 feuV (B) 20 feuV

(C) 21 feuV (D)18 feuV

43- ;fn 2 2 2x y z 2 2(y x), rks 3 3 3x y z dk eku gS

(A) 0 (B) 1

(C) 2 (D)3

44- ABC dk ifjdsanz O gSA ;fn BAC 85, BCA 75, rks OAC ?

(A) 700 (B) 600

(C) 800 (D)1000

45- ABC ds ABC dk ok f}Hkktd BC ds lekukarj A ls tkrh gqbZ tq js[kk dk D fcUnq ij izfrPNsn djrk gSA ;fn

ABC 50, rks ADB dk eki gS

(A) 650 (B) 550

(C) 400 (D)200

46- ,d o`k dh ifjf/ ij P RkFkk Qij [khaph xbZ Li'kZ js[kk, Aij izfrPNsn djrh gSA ;fn PAQ 68 rks APQ dk eki

gS

(A) 560 (B) 680

(C) 280 (D)340

47.

22

22

0.001930.307

0.01933.07

(A) 100 (B) 101 (C) 1000 (D) 99

48. ,d gh yEckbZ dh nks eksecfk;k ,d lkFk tykbZ tkrh gS A igyh ekseckh iqjh rjg tyus esa 4 ?kaVs rFkk nwljh 3 ?kaVs ysrh gSA vxjnksuksa eksecfk;k ,d gh nj ij tyrh gS , rks fdrus le; esa nksuksa eksecfk;kas dh yEckbZ dk vuqikr 2% 1 gks tk,sxk\

(A) 2 ?kaVs 24 fe. (B) 2 ?kaVs 48 fe. (C) 3 ?kaVs (D) 2 ?kaVs

49. fdlh ijh{kk esa 80 Nk=k fgUnh rFkk 75 Nk=k xf.kr esa mkh.kZ gq,A 18 Nk=k nksuksa fo"k;ksa esa vuqkh.kZ gq,A ;fn dqy 438 Nk=knksuksa fo"k;ksa esa mkh.kZ gq, gks rks dqy fdrus Nk=k ijh{kk esa cSBs Fks\(A) 600 (B) 650 (C) 700 (D) 580


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50. ,d xk; 8 ds ykHk ij csph tkrh gSA ;fn mls 20 de ewY; ij [kjhnk tkrk vkSj 40 ds ykHk ij cspk tkrk rks O;fDr dksigys ewY; ls 640 # vf/d izkIr gksrs gSA xk; dk ;&ewY; Kkr dhft,A(A) 16000 (B) 18000 (C) 20000 (D) 14000

51. ,d O;kikjh viuh oLrqvksa dk ewY; bl izdkj fu/kZfjr djrk gS fd udn HkwDrku djus ij 10 dh NwV nh tkrh gS fiQj Hkh mls15 dk ykHk gks tkrk gSA ;fn O;kikjh ml oLrq dks 720 # esa [kjhnrk gS rks oLrq dk vafdr ewY; Kkr dhft,\(A) 920 (B) 900 (C) 890 (D) 950

52. panu viuh vk; dk 3

1Hkkx 7 dh nj ij]

5

2Hkkx 10 dh nj ij rFkk 'ks"k Hkkx 12 dh C;kt nj ij m/kj nsrk gSA nks o"kZ

ckn mls 1430 # dh vk; gksrh gS , rks mlus fdruk /u m/kj ij fn;k

(A) 7500 (B) 7000 (C) 8000 (D) 6800

53. ,d dkj ds mRiknu esa 3 izdkj ds [kpZ lfEefyr gS] dPpk eky] Je ij [kpZ rFkk vfrfjDr [kpZA bu lHkh [kpZ dk vuqikr% 4% 3 % 2 gSA ;fn vxys o"kZ dPps eky ds ewY; esa 10 dh o`f ,Je ij 8 dh o`f rFkk vU; [kpZ ij 5 dh deh gkstk;s rks dkj ds ewY; esa fdruh izfr'kr o`f gksxh(A) 6% (B) 8% (C) 10% (D) 5%

54. 5 vkneh rFkk 5 vkSjrs fdlh dk;Z dks 12 fnu esa iwjk dj ldrh gSA mlh dke dks 3 vkneh rFkk 15 vkSjrs 10 fnu esa dj ldrs

gSA 4 vkneh rFkk 3 vkSjrs ml dke dk 2

3xq.kk fdrus le; esa iwjk djsaxs\

(A) 24 (B) 30 (C) 20 (D) 26

55. A, B rFkk C dh lfEefyr vk; 14,400 # gSA muds [kpZ mudh vk; dk 80] 85 rFkk 75 gSA ;fn mudh cpr dk vuqikr8%9%20 gS rks izR;sd dh vk; Kkr dhft,A(A) 3200, 4800, 6400 (B) 3000, 4000, 7200 (C) 3500, 4300, 6400 (D) buesa ls dksbZ ugha

56. 3] 5] 6] 7 esa ls D;k ?kVk;k tk;s rkfd og vkil esa lekuqikrh gks tk,s\(A) 9 (B) 10 (C) 8 (D) 6

57. A rFkk B fdlh dk;Z dks 6 fnuksa esa iwjk dj ldrs gSA A rFkk C mlh dk;Z dks djus esa B rFkk C ls 2

12 fnu de ysrs gSA A,

B rFkk C ml dk;Z dks 5 fnu esa iwjk dj ldrs gSA rks Kkr dhft, fd os vdsys bl dk;Z dks fdrus le; esa djsaxs\(A) 10, 15, 30 (B) 10, 15, 20 (C) 15, 10, 30 (D) 10, 20, 30

58. ,d ok"ipfyr batu jsy ds fMCcksa ds cxSj 24 fdeh@?kaVs dh pky ls py ldrk gSA batu dh xfr esa deh lkFk esa yxk, x, fMCcksadh la[;k ds oxZewy ds lekuqikrh gSA 4 fMCcksa ds lkFk mldh xfr 20 fdeh@?kaVk gks tkrh gSA fMCcksa dh vf/dre la[;k Kkr dhft,ftls batu [khap ldrk gS\(A) 143 (B) 144 (C) 142 (D) 141

59. ;fn ,d vk;r dh yackbZ 14 eh ls c


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Ph:011-27607854 9868182639, 9213169353

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62. ;fn 625 x gks] rks

xx

1 dk eku gksxk

(A) 22 (B) 23 (C) 32 (D) 33

63. ;fn 101p gks] rks

3 2 133 ppp dk eku gksxk

(A) 100 (B) 101 (C) 102 (D) 1000

64. ;fn 2

3x gks] rks

xx

xx

11

11dk eku gksxk

(A) 3 (B) -1 (C) 1 (D) 3

65. fdlh fo|ky; esa yM+dksa rFkk yM+fd;ksa dh la[;kvksa esa 5 % 3 dk vuqikr FkkA 5 % 7 ds vuqikr esa dqy u;s yM+ds rFkk yM+fd;kfo|ky; esa HkrhZ fd;s x,A blls fo|ky; esa fo|kfFkZ;ksa dh dqy la[;k 1200 gks x;h rFkk yM+dksa rFkk yM+fd;ksa dh la[;kvksa dkvuqikr 7 % 5 esa ifjofrZr gks x;kA u;h HkrhZ ls igys fo|ky; esa fo|kfFkZ;ksa dh la[;k Fkh(A) 700 (B) 720 (C) 900 (D) 960

66. fdlh feJ.k esa 'kjkc rFkk ikuh 3 % 2 ds vuqikr esa rFkk ,d vU; feJ.k esa ;s 4 % 5 ds vuqikr esa gSaA ckn okys feJ.k dhfdruh ek=kk igys okys feJ.k dh 3 yhVj ek=kk ds lkFk feyk;h tk, rkfd ifj.kkeh feJ.k esa 'kjkc rFkk ikuh cjkcj ek=kk esagks tk, ?

(A) 5

25 yh- (B)

3

25 yh- (C)

2

14 yh- (D)

4

33 yh-

67. 2.800.0080.092 3 dk 75% dk eku gS

(A) 0 (B) .01 (C) -1 (D) .001

68. leku yEckbZ okyh nks jsyxkfM+;k ,d VsyhxzkWiQ ds [kEcs dks e'k% 10 lsd.M rFkk 15 lsd.M esa ikj djrh gSaA ;fn izR;sd jsyxkM+hdh yEckbZ 120 eh gks] rks foijhr fn'kkvksa esa pyrs gq, os ,d nwljs dks fdrus le; (lsd.M) esa ikj djsaxh\(A) 16 (B) 15 (C) 12 (D) 10

69. vkB izkS


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Ph:011-27607854 9868182639, 9213169353

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(A) -0.2 (B)

20.2 (C)

30.2 (D)

40.2

74. 1 + 2 + 3 + 4 + ..... + 99 + 100 + 99 + ..... + 3 + 2 + 1 cjkcj gS(A) 1000 (B) 10000 (C) 200 (D) 500

75. ;fn 14

5:

7

2 ,

3

1:

9

2 b:ca:b vkSj

5

3:

10

7c:d gks] rks dcba ::: cjkcj gS

(A) 4 : 6 : 7 : 9 (B) 16 : 24 : 30 : 35 (C) 8 : 12 : 15 : 7 (D) 30 : 35 : 24 : 16

76. fdlh pquko esa 8 ernkrkvksa us vius er ugha MkysA bl pquko esa dsoy nks gh izR;k'kh FksA thrus okys izR;k'kh us dqy erksa ds48 er izkIr dj 1100 erksa ls pquko esa nwljs izR;k'kh dks gjk fn;kA pquko esa dqy er Fks(A) 21000 (B) 23500 (C) 22000 (D) 27500

77. nks vadksa okyh ,d la[;k bl izdkj gS fd ngkbZ okyk vad] bdkbZ okys vad ls 2 de gSA bl la[;k ds frxqus esa ml la[;k ds6@7 dks tksM+us ij] tks vadksa ds vkil esa cnyus ls izkIr gksrh gS] 108 izkIr gksrk gSA la[;k esa vadksa dk ;ksx gS(A) 8 (B) 9 (C) 6 (D) 7

78. A , B vkSj C dh dqy vk; # 76000 gS vkSj os viuh vk; dk e'k% 30] 25 vkSj 20 cpkrs gSaA ;fn mudh cpr dkvuqikr 4 % 5 % 6 gS rks A rFkk B dh dqy vk; C dh vk; ls fdruh vf/d gS\

(A) 2000 # (B) 3000 # (C) 6000 # (D) 4000 #

79. yckyc Hkjh gqbZ ,d Vadh ls ikuh fudkyk tkrk gSA Vadh dh vkfr ml ?kukHk dh gS ftldh yackbZ 3 eh-] pksMkbZ 1-4 eh- vkSjxgjkbZ 80 lseh gSA ;fn ckgj cgus okys ikuh dh nj 100 lseh3@lsdaM gS rks 5 feuV ds ckn Vadh esa ikuh dh pkbZ gksxh

(A) 7

179 (B)

7

279 (C)

7

169 (D)

7

269

80. ,d dke iwjk djus esa A dks B ls nqxuk vkSj C ls rhu xq.kk le; yxrk gSA ,d&lkFk dke djds os ml dke dks 2 fnu esaiwjk dj ldrs gSaA B dks vdsys og dke djus esa fdrus fnu yxsaxs\(A) 4 (B) 6 (C) 8 (D) 12

81. ,d ikbZi fdlh Vadh dks 8 feuV esa Hkj ldrh gS vkSj vU; ikbZi 1 feuV esa 6 fdyksyhVj ikuh fudky ldrh gSA ;fn nksuksa ikbZiksaadks ,d lkFk [kksy fn;k tk, rks [kkyh Vadh 20 feuV esa Hkj ldrh gSA Vadh dh /kfjrk (fdyksyhVj esa) gS(A) 50 (B) 60 (C) 75 (D) 80

82. fdlh Bsdsnkj us fdlh dke dks 96 fnu esa iwjk djus ds fy, 100 eT+knwj yxk,A fdarq fu/kZfjr le; ds 1@6 Hkkx esa dsoy 1@7dke gqvkA dke dks le; ij iwjk djus ds fy, visf{kr vfrfjDr eT+knwjksa dh la[;k gS(A) 20 (B) 40 (C) 30 (D) 15

83. 94939291 4444 foHkkT; gS

(A) 17 ls (B) 13 ls (C) 11 ls (D) 3 ls

84. 3 3 49722165921 dk eku gS

(A) 4 (B) 5 (C) 6 (D) 8

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SSC Mains MATHS 4 (1)