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SBI BANK CLERK MODEL QUESTIONS NUMERICAL ABILITY 1.Let R = qs—4. When s=8, R=16. When s=10, R is equal to a. 11 b. 14 c. 20 d. 21 Answer-d 2. Answer d 3. If 272/3 × 81-1/2 = 3x, the value of x is a. -1 b. 0 c. 1 d. 2 Answer -b 4. 0.333 .... × 0.444 .... is equal to a. 0.148148148 .... b. 0.777 .... c. 0.121212 .... d. 1.333 .... Answer-a

SBI Quantitative Aptitute

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Page 1: SBI Quantitative Aptitute

SBI BANK CLERK MODEL QUESTIONS

NUMERICAL ABILITY

1.Let R = qs—4. When s=8, R=16. When s=10, R is equal to

a. 11

b. 14

c. 20

d. 21

Answer-d

2.

Answer d

3. If 272/3 × 81-1/2 = 3x, the value of x is

a. -1

b. 0

c. 1

d. 2

Answer -b

4. 0.333 .... × 0.444 .... is equal to

a. 0.148148148 ....

b. 0.777 ....

c. 0.121212 ....

d. 1.333 ....

Answer-a

Page 2: SBI Quantitative Aptitute

5.

Answer-d

6.

Answer-c

7.

Answer-c

8.

Answer-c

9. On converting the following base-2 numeral in base ten, 1101101, we get

a. 96

b. 104

c. 108

d. 109

Answer-d

10. The number of prime factors of (6)10×(7)17×(55)27

a. 54

b. 64

c. 81

d. 91

Answer-d

11. A train crosses a pole in 15 seconds, while it crosses 100 meter long platform in 25

seconds. The length of the train is -

a. 125m

b. 135 m

c. 159 m

d. 175 m

Answer-c

12.Two taps A and B can fill a tank in 12 minutes and 15 minutes respectively. If both

the taps are opened simultaneously and the tap A is closed after 3 minutes, then how

much more time will it take to fill the tank by tap B?

Page 3: SBI Quantitative Aptitute

a. 7 min & 15 sec

b. 7 min & 45 sec

c. 8 min & 5 sec

d. 8 min & 15 sec

Answer-d

13. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In

what ratio, the liquids be mixed in both the vessels so that the new liquid contains half

milk and half water?

a. 7:5

b. 1:2

c. 2:1

d. 6:5

Answer-a

14.A car covers a distance of 715 km at a constant speed. If the speed of the car would

have been 10 km/hr more, then it would have taken 2 hours less to cover the same

distance. What is the original speed of the car?

a. 45 km/hr

b. 50 km/hr

c. 55 km/hr

d. 65 km/hr

Answer-c

15.A is 50% as efficient as B. C does half of the work done by A and B together. If C

alone does the work in 40 days, then A, B and C together can do the work in

Answer-a

16. A person covered some distance in 12 hours. He covered half the distance by rail @

75 km per hour and the rest by car @ 45 km/hr. The total distance covered by him was

a. 450 km

b. 675 km

c. 337.5 km

d. 1350 km

Answer-b

17. A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A's

share, 4 times B's share and 7 times C's share are all equal. The share of C is

a. Rs. 84

b. Rs. 147

c. Rs. 196

d. Rs. 240

Answer-a

18. A and B entered into a partnership investing Rs. 12000 and Rs. 9000 respectively.

After 3 months C also joined them with a capital of Rs. 15000. The share of C in the half

yearly profit of Rs. 9500 is

a. Rs. 3500

b. Rs. 3000

c. Rs. 2500

d. Rs. 4000

Page 4: SBI Quantitative Aptitute

Answer-c

19.A can do a piece of work in 12 days and B can do it in 18 days. They started the work

together but A left 3 days before the completion of the work. The total number of days to

complete the work is

Answer-b

20.The ratio of income of A and B is 5:4 and their expenditure is as 3:2. If at the end of

the year, each saves Rs. 800, then the income of A is

a. Rs. 1700

b. Rs. 1800

c. Rs. 2000

d. Rs. 2200

Answer-c

21.A and B can together finish a work in 30 days. They worked at it for 10 days together

and then B left. The remaining work was done by A alone in 30 more days. B alone can

finish the work in

a. 48 days

b. 60 days

c. 75 days

d. 90 days

Answer-d

22.The ratio between the curved surface area and the total surface area of a right circular

cylinder is 1:2. If the total surface is 616 sq. cm, the volume of the cylinder is

a. 1848 cm3

b. 1232 cm3

c. 1078 cm3

d. 980 cm3

Answer-c

23.A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides

are in the ratio of 6 : 5. The smaller side of the rectangle is

a. 30 cm

b. 60 cm

c. 72 cm

d. 108 cm

Answer-b

24.A man walking at the rate of 6km per hour crosses a square field diagonally in 9

seconds. The area of the field is-

a. 125 sq. cm

b. 112.5 sq. cm

c. 110 sq. cm

d. 100√2 sq. m

Answer-b

25.A rectangular carpet has an area of 240 sq. cm. If its diagonal and the longer side are

Page 5: SBI Quantitative Aptitute

together equal to five times the shorter side, the length of the carpet is -

a. 10 cm

b. 24 cm

c. 26 cm

d. 27.5 cm

Answer-b

26.The ratio of 435 : 25 is same as

a. 4 : 1

b. 2 :1

c. 7 : 5

d. 7 :10

Answer-a

27. A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to

that of the cube is

a. √π : √6

b. √π : √6

c. √π : √3

d. √6 : √π Answer-d

28.The marked price of a table is Rs. 3000 and is available at successive discounts of

20% and 10% respectively. If there is an additional discount of 5% on cash payment, then

what is the cash price of the table?

a. Rs. 2400

b. Rs. 2160

c. Rs. 2100

d. Rs. 2052

Answer-d

29.A trader marks his goods 25% above the C.P. but discounts 15% on the marked price.

His gain percent in the deal is-

Answer-b

30. A certain sum becomes Rs. 5290 in 2 years and Rs. 6083.50 in 3 years at C.I. The rate

of interest per annum is -

a. 10%

b. 12%

c. 15%

d. 16⅔ %

Answer-c

31.A person borrowed Rs. 500@ 3% per annum S.I and Rs. 600 @4½% per annum on

the agreement that the whole amount will be returned only when the total interest

becomes Rs. 126. The number of years, after which the borrowed sum is to be returned, is

a. 2

b. 3

c. 4

Page 6: SBI Quantitative Aptitute

d. 5

Answer-b

32.A sum of Rs. 12,000 doubles in 5 years at C.I. What will be the amount after 20

years?

a. Rs. 1,20,000

b. Rs. 1,92,000

c. Rs. 1,24,000

d. Rs. 96,000

Answer-b

33. A person sold 320 mangoes for the C.P. of 400 mangoes. His gain percent is

a. 10%

b. 15%

c. 12½%

d. 25%

Answer-d

34.On selling each of the rwo radios for Rs. 5000, a person neither gained nor lost. If he

had sold one radio at 25% gain, then at what percent loss did he sell the other radio?

Answer-a

35. A person bought some oranges @ Rs. 10 per dozen and bought the same amount of

oranges @ Rs. 8 per dozen. He sold these oranges @ Rs. 11 per dozen and gained Rs.

120. The total number of oranges bought by him was -

a. 30 dozen

b. 40 dozen

c. 50 dozen

d. 60 dozen

Answer-d

36.On selling a certain commodity for Rs. 425, there is as much gain as loss on selling it

for Rs. 355. The C.P. of the commodity is

a. Rs. 370

b. Rs. 385

c. Rs. 390

d. Rs. 400

Answer-c

37.A sum of Rs. 800 amounts to Rs. 920 in three years at S.I. If the rate of interest is

increased by 5% then the amount will increase to

a. Rs. 950

b. Rs. 980

c. Rs. 1010

d. Rs. 1040

Answer-d

38.Of the three numbers, second is twice the first and is also thrice the third. If the

average of the three numbers is 44, the largest number is

Page 7: SBI Quantitative Aptitute

a. 24

b. 36

c. 17

d. 72

Answer-d

39.A house owner wants to get his house painted. He is told that this would require 25 kg

of paint. Allowing for 15% wastage and assuming that the paint is available in 2kg tins,

the number of tins required for painting the house is -

a. 15

b. 12

c. 10

d. 20

Answer-a

40.Price of food grains have risen by 10% and of other items of consumption by 15%. If

the ratio of an employee's expenditure on food grains and other items is 2:5, by how

much should his salary be increased so that he may maintain the same level of

consumption as before, assuming that his present salary is Rs. 3500?

a. Rs. 300

b. Rs. 350

c. Rs. 375

d. Rs. 475

Answer-d

SBI CLERK MODEL QUESTION

NUMERICAL ABILITY TEST

1. Sum of smallest six digit no. and greatest five digit no. is:

a. 199999

b. 201110

c. 211110

d. 1099999

e. None of these

2. Value of 112 * 54. is :

a. 6700

b. 70000

c. 76500

d. 77200

e. None of these

3. 1399*1399

a. 1687401

b. 1901541

c. 1943211

d. 1957201

e. None of these

Page 8: SBI Quantitative Aptitute

4. When a no. is multiplied by 13 product consist of all 5’s. The smallest such no. s

a. 41625

b. 42135

c. 42515

d. 42735

e. None of these

5. If n is –ve no. then which of the following is least.

a. 0

b. –n

c. 2n

d. n2

None of these

6. If -1<=x <=2 and 1<= y <= 3 then least value of 2y-3x is :

a. 0

b. -3

c. -4

d. -5

e. None of these

e. None of these

7. The least prime no. is :

a. 0

b. 1

c. 2

d. 3

e. None of these

8. The sum of prime no.’s b/w 60 and 75 is:

a. 199

b. 201

c. 211

d. 272

e. None of these

9. Total no. of even prime no.’s is :

a. 0

b. 1

c. 2

d. None

e. None of these

10. How many No’s B/w 400 and 600 begin with or end with digit 5.

a. 40

b. 100

c. 110

d. 120

e. None of these

11. The digit in unit’s place of product 81*82……..*89 is:

a. 0

Page 9: SBI Quantitative Aptitute

b. 2

c. 6

d. 8

e. None of these

12. The sum of first 45 natural no’s is :

a. 1035

b. 1280

c. 2070

d. 2140

e. None of these

13. The unit’s digit in the product of 771 * 659 * 3 65 is :

a. 1

b. 2

c. 4

d. 6

e. None of these

14. Which no. is exactly divisible by 11

a. 235641

b. 245642

c. 315624

d. 415624

e. None of these

15. The largest natural no. which exactly divides the product of any 4 consecutive atural

no’s is:

a. 6

b. 12

c. 24

d. 120

e. None of these

16. The diff. b/w squares of 2 consecutive odd integers is always divisible by:

a. 3

b. 6

c. 7

d. 8

e. None of these

17. The smallest no. to be added to 1000 so that 45 divides the sum exactly is :

a. 10

b. 20

c. 35

d. 80

e. None of these

18. The least no. which must be subtracted from 6709 to make it exactly divisible y 9 is :

a. 2

b. 3

c. 4

d. 5

Page 10: SBI Quantitative Aptitute

e. None of these

19. Find the no. nearest to 99547 and exactly divisible by 687:

a. 98928

b. 99479

c. 99615

d. 100166

e. None of these

20. The least no. by which 72 must be multiplied in order to produce a multiple of 12 is

a. 6

b. 12

c. 14

d. 18

e. None of these

21. Which largest no. of 5 digits is divisible by 99:

a. 99909

b. 99981

c. 99990

d. 99999

e. None of these

22. A no. when divided by 114 leaves the remainder 21 if same no. is divided by 19 he

remainder will be

a. 1

b. 2

c. 7

d. 21

e. None of these

23. The diff. b/w 2 no’s is 1365 when larger no. is divided by smaller the quotient s 6 and

the remainder is 15. The smaller no. is :

a. 240

b. 270

c. 295

d. 360

e. None of these

24. The divisor is 10 times the quotient and 5 times the remainder if remainder is 6 then

dividend is :

a. 4236

b. 4306

c. 4336

d. 5336

e. None of these

25. A four digit no. divisible by 7 becomes divisible by 3 when 10 is added to it the

argest such no. is :

a. 9947

b. 9987

c. 9989

Page 11: SBI Quantitative Aptitute

d. 9996

e. None of these

ANSWERS WITH EXPLANATION :

1) a

2) 1120000/16 = b

3) (1400-1)*(1400-1) = d

4) 555555/13 = d

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

14)d 15)c 16)d 17)a 18)c 19)c 20)c 21)c

22)d 23)b 24)d 25)b

SBI CLERK MODEL PAPER

NUMERICAL ABILITY

1.

Let R = qs—4. When s=8, R=16. When s=10, R is equal to

a. 11

b. 14

c. 20

d. 21

Answer-d

2.

Answer d

3. If 272/3 × 81-1/2 = 3x, the value of x is

a. -1

b. 0

c. 1

d. 2

Answer -b

4. 0.333 .... × 0.444 .... is equal to

Page 12: SBI Quantitative Aptitute

a. 0.148148148 ....

b. 0.777 ....

c. 0.121212 ....

d. 1.333 ....

Answer-a

5.

Answer-d

6.

Answer-c

7.

Answer-c

8.

Answer-c

9. On converting the following base-2 numeral in base ten, 1101101, we get

a. 96

b. 104

c. 108

d. 109

Answer-d

10. The number of prime factors of (6)10×(7)17×(55)27

a. 54

b. 64

c. 81

d. 91

Answer-d

11. A train crosses a pole in 15 seconds, while it crosses 100 meter long platform in 25

seconds. The length of the train is -

a. 125m

b. 135 m

c. 159 m

Page 13: SBI Quantitative Aptitute

d. 175 m

Answer-c

12.Two taps A and B can fill a tank in 12 minutes and 15 minutes respectively. If both

the taps are opened simultaneously and the tap A is closed after 3 minutes, then how

much more time will it take to fill the tank by tap B?

a. 7 min & 15 sec

b. 7 min & 45 sec

c. 8 min & 5 sec

d. 8 min & 15 sec

Answer-d

13. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In

what ratio, the liquids be mixed in both the vessels so that the new liquid contains half

milk and half water?

a. 7:5

b. 1:2

c. 2:1

d. 6:5

Answer-a

14.A car covers a distance of 715 km at a constant speed. If the speed of the car would

have been 10 km/hr more, then it would have taken 2 hours less to cover the same

distance. What is the original speed of the car?

a. 45 km/hr

b. 50 km/hr

c. 55 km/hr

d. 65 km/hr

Answer-c

15.A is 50% as efficient as B. C does half of the work done by A and B together. If C

alone does the work in 40 days, then A, B and C together can do the work in

Answer-a

16. A person covered some distance in 12 hours. He covered half the distance by rail @

75 km per hour and the rest by car @ 45 km/hr. The total distance covered by him was

a. 450 km

b. 675 km

c. 337.5 km

d. 1350 km

Answer-b

17. A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A's

share, 4 times B's share and 7 times C's share are all equal. The share of C is

a. Rs. 84

b. Rs. 147

c. Rs. 196

d. Rs. 240

Answer-a

18. A and B entered into a partnership investing Rs. 12000 and Rs. 9000 respectively.

After 3 months C also joined them with a capital of Rs. 15000. The share of C in the half

Page 14: SBI Quantitative Aptitute

yearly profit of Rs. 9500 is

a. Rs. 3500

b. Rs. 3000

c. Rs. 2500

d. Rs. 4000

Answer-c

19.A can do a piece of work in 12 days and B can do it in 18 days. They started the work

together but A left 3 days before the completion of the work. The total number of days to

complete the work is

Answer-b

20.The ratio of income of A and B is 5:4 and their expenditure is as 3:2. If at the end of

the year, each saves Rs. 800, then the income of A is

a. Rs. 1700

b. Rs. 1800

c. Rs. 2000

d. Rs. 2200

Answer-c

21.A and B can together finish a work in 30 days. They worked at it for 10 days together

and then B left. The remaining work was done by A alone in 30 more days. B alone can

finish the work in

a. 48 days

b. 60 days

c. 75 days

d. 90 days

Answer-d

22.The ratio between the curved surface area and the total surface area of a right circular

cylinder is 1:2. If the total surface is 616 sq. cm, the volume of the cylinder is

a. 1848 cm3

b. 1232 cm3

c. 1078 cm3

d. 980 cm3

Answer-c

23.A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides

are in the ratio of 6 : 5. The smaller side of the rectangle is

a. 30 cm

b. 60 cm

c. 72 cm

d. 108 cm

Answer-b

24.A man walking at the rate of 6km per hour crosses a square field diagonally in 9

seconds. The area of the field is-

a. 125 sq. cm

Page 15: SBI Quantitative Aptitute

b. 112.5 sq. cm

c. 110 sq. cm

d. 100√2 sq. m

Answer-b

25.A rectangular carpet has an area of 240 sq. cm. If its diagonal and the longer side are

together equal to five times the shorter side, the length of the carpet is -

a. 10 cm

b. 24 cm

c. 26 cm

d. 27.5 cm

Answer-b

26.The ratio of 435 : 25 is same as

a. 4 : 1

b. 2 :1

c. 7 : 5

d. 7 :10

Answer-a

27. A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to

that of the cube is

a. √π : √6

b. √π : √6

c. √π : √3

d. √6 : √π Answer-d

28.The marked price of a table is Rs. 3000 and is available at successive discounts of

20% and 10% respectively. If there is an additional discount of 5% on cash payment, then

what is the cash price of the table?

a. Rs. 2400

b. Rs. 2160

c. Rs. 2100

d. Rs. 2052

Answer-d

29.A trader marks his goods 25% above the C.P. but discounts 15% on the marked price.

His gain percent in the deal is-

Answer-b

30. A certain sum becomes Rs. 5290 in 2 years and Rs. 6083.50 in 3 years at C.I. The rate

of interest per annum is -

a. 10%

b. 12%

c. 15%

d. 16⅔ %

Answer-c

31.A person borrowed Rs. 500@ 3% per annum S.I and Rs. 600 @4½% per annum on

Page 16: SBI Quantitative Aptitute

the agreement that the whole amount will be returned only when the total interest

becomes Rs. 126. The number of years, after which the borrowed sum is to be returned, is

a. 2

b. 3

c. 4

d. 5

Answer-b

32.A sum of Rs. 12,000 doubles in 5 years at C.I. What will be the amount after 20

years?

a. Rs. 1,20,000

b. Rs. 1,92,000

c. Rs. 1,24,000

d. Rs. 96,000

Answer-b

33. A person sold 320 mangoes for the C.P. of 400 mangoes. His gain percent is

a. 10%

b. 15%

c. 12½%

d. 25%

Answer-d

34.On selling each of the rwo radios for Rs. 5000, a person neither gained nor lost. If he

had sold one radio at 25% gain, then at what percent loss did he sell the other radio?

Answer-a

35. A person bought some oranges @ Rs. 10 per dozen and bought the same amount of

oranges @ Rs. 8 per dozen. He sold these oranges @ Rs. 11 per dozen and gained Rs.

120. The total number of oranges bought by him was -

a. 30 dozen

b. 40 dozen

c. 50 dozen

d. 60 dozen

Answer-d

36.On selling a certain commodity for Rs. 425, there is as much gain as loss on selling it

for Rs. 355. The C.P. of the commodity is

a. Rs. 370

b. Rs. 385

c. Rs. 390

d. Rs. 400

Answer-c

37.A sum of Rs. 800 amounts to Rs. 920 in three years at S.I. If the rate of interest is

increased by 5% then the amount will increase to

a. Rs. 950

b. Rs. 980

Page 17: SBI Quantitative Aptitute

c. Rs. 1010

d. Rs. 1040

Answer-d

38.Of the three numbers, second is twice the first and is also thrice the third. If the

average of the three numbers is 44, the largest number is

a. 24

b. 36

c. 17

d. 72

Answer-d

39.A house owner wants to get his house painted. He is told that this would require 25 kg

of paint. Allowing for 15% wastage and assuming that the paint is available in 2kg tins,

the number of tins required for painting the house is -

a. 15

b. 12

c. 10

d. 20

Answer-a

40.Price of food grains have risen by 10% and of other items of consumption by 15%. If

the ratio of an employee's expenditure on food grains and other items is 2:5, by how

much should his salary be increased so that he may maintain the same level of

consumption as before, assuming that his present salary is Rs. 3500?

a. Rs. 300

b. Rs. 350

c. Rs. 375

d. Rs. 475

Answer-d

State Bank of India Clerical Cadre

Recruitment Exam

2008 Solved Paper (HELD ON 06-01-2008)

Quantitative Aptitude

Directions—(Q. 81–90) What should come in place of question mark (?) in the following

questions ?

81. (8.2% of 365) – (1.75% of 108) = ?

(A) 16.02 (B) 28.04

(C) 42.34 (D) 53.76

(E) None of these

82. [(135)2 ÷ 15 ´ 32] ÷ ? = 45 ´ 24

(A) 18 (B) 24

(C) 36 (D) 44

(E) None of these

Page 18: SBI Quantitative Aptitute

83. (96)2 + (63)2 = (?)2 – (111)2 – 8350

(A) 33856 (B) 30276

(C) 174 (D) 184

(E) None of these

84. 4368 + 2158 – 596 – ? = 3421 + 1262

(A) 1066 (B) 1174

(C) 1247 (D) 1387

(E) None of these

85. 2172 ÷ ? = 1832 – 956 – 514

(A) 6 (B) 8

(C) 10 (D) 12

(E) None of these

86. 666.06 + 66.60 + 0.66 + 6.06 + 6 + 60 = ?

(A) 819.56 (B) 805.38

(C) 826.44 (D) 798.62

(E) None of these

87. 15.594 – 4.312 – 3.517 – 1.689 = ?

(A) 6.706 (B) 6.760

(C) 6.670 (D) 6.607

(E) None of these

88. 205 ´ ? ´ 13 = 33625 + 25005

(A) 22 (B) 27

(C) 33 (D) 39

(E) None of these

89. 69 ÷ 3 ´ 0.85 + 14.5 – 3 = ?

(A) 36.45 (B) 23.85

(C) 42.95 (D) 18.65

(E) None of these

90. (10)24 ´ (10)– 21 = ?

(A) 3 (B) 10

(C) 100 (D) 1000

(E) None of these

Directions—(Q. 91–95) What should come in place of question mark (?) in the following

number series ?

91. 12 6.5 7.5 12.75 27.5 71.25 ?

(A) 225.75 (B) 216.75

(C) 209.75 (D) 236.75

(E) 249.75

92. 16 24 36 54 81 121.5 ?

(A) 182.25 (B) 174.85

(C) 190.65 (D) 166.55

(E) 158.95

93. 12 12 18 45 180 1170 ?

(A) 13485 (B) 14675

(C) 15890 (D) 16756

(E) 12285

Page 19: SBI Quantitative Aptitute

94. 22 23 27 36 52 77 ?

(A) 111 (B) 109

(C) 113 (D) 117

(E) 115

95. 16 14 24 66 256 1270 ?

(A) 8564 (B) 5672

(C) 4561 (D) 7608

(E) 6340

Directions—(Q. 96–100) Study the following table carefully to answer the questions that

follow—

Number of Boys and Girls in Five Streams of a College Over the Years

STREAMS

YEAR Arts Science Commerce Management IT

Boys Girls Boys Girls Boys Girls Boys Girls Boys Girls

2002 556 414 619 505 668 612 770 633 670 515

2003 763 608 793 612 781 616 667 439 866 722

2004 672 519 540 516 859 713 778 727 781 619

2005 809 602 928 908 870 811 849 729 977 817

2006 745 510 884 820 967 819 562 938 990 808

2007 698 413 765 616 571 515 1288 1016 1151 1010

96. What is the total number of Boys, for all the Streams together, in the year 2004 ?

(A) 4148 (B) 3630

(C) 4433 (D) 3247

(E) None of these

97. The number of Boys in Arts Stream in the year 2004 is approximately what per cent

of the total number of Boys for all the years together in Arts Stream ?

(A) 27 (B) 34

(C) 08 (D) 39

(E) 16

98. What is the ratio of the total number of Boys to the total number of Girls, from all the

Stream together, for the year 2007 ?

(A) 2 : 3 (B) 14 : 13

(C) 52 : 49 (D) 213 : 170

(E) None of these

99. What is the ratio of the total number of Boys to the total number of Girls in the

Manage-ment Stream for all the years together ?

(A) 9 : 8 (B) 71 : 86

(C) 91 : 83 (D) 27 : 23

(E) None of these

100. What is the average number of Girls from Commerce Stream for the given years ?

(A) 681 (B) 675

(C) 618 (D) 657

(E) None of these

Directions—(Q. 101–105) What approximate value should come in place of question

mark (?) in the following questions ? (You are not expected to calculate the exact value.)

101. (935.82)2 = ?

Page 20: SBI Quantitative Aptitute

(A) 870000 (B) 867500

(C) 888800 (D) 875800

(E) 899800

102. 628.306 + 6.1325 ´ 44.0268 = ?

(A) 820 (B) 970

(C) 1050 (D) 1175

(E) 900

103. (739% of 383) ÷ 628 = ?

(A) 10.00 (B) 4.50

(C) 15.75 (D) 19.25

(E) 24.15

104. (9795 + 7621 + 938) ÷ (541 + 831 + 496) = ?

(A) 9 (B) 13

(C) 17 (D) 23

(E) 29

105. 814296 ´ 36 = ? ´ 96324

(A) 326 (B) 272

(C) 304 (D) 358

(E) 260

Directions—(Q. 106–110) Study the infor-mation carefully to answer the following

questions—

In an organization consisting of 750 emp-loyees, the ratio of Males to Females is 8 : 7

respectively. All the employees work in five different departments viz. HR, Management,

PR, IT and Recruitment. 16 per cent of the Females work in Management Department. 32

per cent of Males are in HR Department. One–fifth of the Females are in the Department

of Recruitment. The ratio of Males to Females in the Management Department is 3 : 2

respectively. 20 per cent of the total number of employees are in PR Department.

Females working in Recruitment are 50 per cent of the Males working in the same

Department. 8 per cent of the Males are in IT Department. The remaining Males are in

PR Department. 22 per cent of the Females work in HR Department and the remaining

Females are working in IT Department.

106. What is the total number of Females working in the IT and Recruitment Department

together ?

(A) 147 (B) 83

(C) 126 (D) 45

(E) None of these

107. What is the number of Females working in the HR Department ?

(A) 77 (B) 70

(C) 56 (D) 134

(E) None of these

108. Number of Males working in HR Depart-ment from approximately what per cent of

total number of the employees in the Organization ?

(A) 20 (B) 28

(C) 32 (D) 9

(E) 17

109. Number of Males working in PD Department forms what per cent of the number of

Page 21: SBI Quantitative Aptitute

Females working in the same Department ? (rounded off two digits after decimal)

(A) 22.98 (B) 16.68

(C) 11.94 (D) 6.79

(E) 27.86

110. What is the total number of employees working in the Management Department ?

(A) 128 (B) 77

(C) 210 (D) 140

(E) None of these

111. The simple interest accrued on an amount of Rs. 19,800. At the end of three years is

Rs. 7,128. What would be the compound interest accrued on the same amount at the same

rate in the same period ?

(A) Rs. 8934.6784

(B) Rs. 8017.5744

(C) Rs. 7861.8754

(D) Cannot be determined

(E) None of these

112. If the numerator of a fraction is increased by 400% and the denominator is increased

by 500%, the resultant fraction is 1021 . What was the original fraction ?

(A) 512 (B) 813

(C) 1714 (D) 47

(E) None of these

113. What is 26% of 55% of 1013 th of 6100 ?

(A) 617 (B) 681

(C) 706 (D) 734

(E) None of these

114. The ages of Aarzoo and Arnav are in the ratio of 11 : 13 respectively. After 7 years

the ratio of their ages will be 20 : 23. What is the difference in years between their ages ?

(A) 4 years (B) 7 years

(C) 6 years (D) 5 years

(E) None of these

115. One-eighth of a number is 17.25. What will 73% of that number be ?

(A) 100.74 (B) 138.00

(C) 96.42 (D) 82.66

(E) None of these

Direction—(Q. 116–120) Study the graph carefully to answer the questions that follow—

Number of Girls Enrolled in Different Hobby Classes in Various Institutes in a Year

116. What is the respective ratio of total number of Girls Enrolled in Painting in the

Institutes A and C together to those Enrolled in Stitching in the Institutes D and E

together ?

(A) 5 : 4 (B) 5 : 7

(C) 16 : 23 (D) 9 : 8

(E) None of these

117. Number of Girls Enrolled in Stitching in Institute B forms approximately what per

cent of the total number of Girls Enrolled in Stitching in all the Institutes together ?

(A) 29 (B) 21

(C) 33 (D) 37

Page 22: SBI Quantitative Aptitute

(E) 45

118. What is the respective ratio of total number of Girls Enrolled in Painting, Stitching

and Dancing from all the Institutes together ?

(A) 44 : 48 : 47 (B) 43 : 47 : 48

(C) 44 : 47 : 48 (D) 47 : 48 : 44

(E) None of these

119. Number of Girls Enrolled in Dancing in Institute A forms what per cent of total

number of Girls Enrolled in all the Hobby Classes together in that Institute ? (rounded off

to two digits after decimal)

(A) 23.87 (B) 17.76

(C) 31.23 (D) 33.97

(E) 20.69

120. What is the total number of Girls Enrolled in Painting from all the Institutes together

?

(A) 1150 (B) 1200

(C) 1275 (D) 1100

(E) None of these

Answers with Explanation :

81. (B) ? = (8·2% of 365) – (1·75% of 108)

= 365 ´ – 108 ´

= 29·93 – 1·89 = 28.04 Ans.

82. (C) ? = [(135)2 ÷ 15 ´ 32] ÷ (24 ´ 45)

= ÷ (1080)

= = 36 Ans.

83. (D) ?2 = (96)2 + (63)2 + (111)2 + 8350

= 9216 + 3969 + 12321 + 8350

= 33856 = (184)2

? = 184 Ans.

84. (C) ? = 4368 + 2158 – 596 – 3421 – 1262

= 6526 – 5279 = 1247 Ans.

85. (A) 2172 ÷ ? = 1832 – 956 – 514

\ ? = =

= 6 Ans.

86. (B) ? = 666·06 + 66·60 + 0·66 + 6·06

+ 6 + 60

= 805·56 Ans.

87. (E) ? = 15·594 – 4·312 – 3·517 – 1·689

= 15·594 – 9·518 = 6·076 Ans.

88. (A) ? = =

= 22 Ans.

89. (E) ? = 69 ÷ 3 ´ 0·85 + 14·5 – 3

= 23 ´ 0·85 + 14·5 – 3

= 19·55 + 14·50 – 3 = 34·05 – 3

= 31·05 Ans.

Page 23: SBI Quantitative Aptitute

90. (D) ? = (10)24 ´ (10)– 21

= (10)24 – 21 = (10)3

= 1000 Ans.

91. (B)

92. (A)

93. (E)

94. (C)

95. (D)

96. (B) Total no. of boys for all streams in 2004

= 672 + 540 + 859 + 778 + 781

= 3630 Ans.

97. (E) Reqd. Percentage

= %

= % = 15·84%

16% (Approximate) Ans.

98. (D) Reqd. Ratio = (698 + 765 + 571 + 1288 + 1151) : (413 + 616 + 515 + 1016 +

1010)

= (4473) : (3570)

=

= 213 : 170 Ans.

99. (C) Reqd. Ratio = (770 + 667 + 778 + 849 + 562 + 1288) : (633 + 439 + 727 + 729 +

938 + 1016)

= (4914) : (4482)

= (91 ´ 54) : (83 ´ 54)

= 91 : 83 Ans.

100. (A) Average number of girls from Commerce Stream for the given years

=

= = 681 Ans.

101. (d) ? = (935·82)2 = 875759·0724

875800 (Approximate) Ans.

102. (E) ? = 628·306 + 6·1325 ´ 44·0268

628 + 6 ´ 44 628 + 264

900 (Approximate) Ans.

103. (B) ? = (739% of 383) ÷ 628

= 2830·37 ÷ 628 4·50 (Approximate)

Ans.

104. (A) ? = (9795 + 7621 + 938)

÷ (541 + 831 + 496)

= (18354) ÷ (1868) = 9·825

9 (Approximate) Ans.

105. (C) ? = = 304·33

304 (Approximate) Ans.

For questions 106 to 110

The data in the following table are based on the given information for these questions—

Department Male Female Total

H.R. 400 = 128

Page 24: SBI Quantitative Aptitute

350 ´

= 77

205

Manage-ment

56 ´

= 84

350 ´

= 56

140

P.R.

400 –

(128 + 84 + 32 + 140) = 400 – 384

= 16

150 – 16

= 134

750 ´ = 150

I.T.

400 ´

= 32

350 – (77 + 56 + 134 + 70) = 350 – 337 = 13

45

Recruitment

2 ´ 70

= 140

350 ´

= 70

210

Total

400

350

750

106. (B) Total No. of Females in I.T. and Recruit-ment Deptt. = 13 + 70 = 83 Ans.

107. (A) Number of females in H.R. Department

= 22% of 350 = ´ 350 = 77 Ans.

108. (E) Required Percentage = ´ 100%

= 17·06%

= 17% (Approximate) Ans.

109. (C) Reqd. Percentage = ´ 100%

= 11·94 Ans.

110. (D) Total number of employees in the Mana-gement = 84 + 56

= 140 Ans.

111. (B) Let the annual rate of interest = R%, Then as per question—

˙.˙ 7128 =

Þ R = = 12%

Reqd. Compound Interest

= 19800

Page 25: SBI Quantitative Aptitute

= 19800

= 19800

=

= Rs. 8017·5744 Ans.

112. (d) Let the original fraction be . Then

=

Þ =

= = Ans.

113. (e) Given Exp. = 26% of 55% of th

of 6100

= ´ ´ ´ 6100

= 2 ´ ´ 10 ´ 61

= 11 ´ 61 = 671 Ans.

114. (c) Let the ages of Aarzoo and Arnav are 11x and 13x years

Then, as per question—

˙.˙ =

Þ 260x + 140 = 253x + 161

Þ (260 – 253)x = 161 – 140

Þ 7x = 21

x = 3

Reqd. difference in years between their ages

= 13x – 11x

= 2 ´ 3 = 6 years Ans.

115. (a) Let the required number be x.

˙.˙ ´ x = 17·25

Þ x = 17·25 ´ 8 = 138

73% of the number = ´ 138

= 100·74 Ans.

116. (c) Reqd. Ratio

=

=

= = 16 : 23 Ans.

117. (b) Reqd. Percentage

= %

= % = 20·83% 21% (app.) Ans.

118. (a) Reqd. Ratio

= (Girls Enrolled in Painting) :

(Stitching) : (Pancing)

= (250 + 225 + 150 + 175 + 300) : (325 + 250 + 50 + 250 + 325) : (150 + 200 + 75 + 400

+ 350)

= (1100) : (1200) : (1175)

= 44 : 48 : 47 Ans.

119. (e) Reqd. Percentage = %

= % = 20·689%

20·69% Ans.

120. (d) Total number of girls enrolled in Painting from all the institutes

Page 26: SBI Quantitative Aptitute

= 250 + 225 + 150 + 175 + 300

= 1100 Ans.

FREE SBI Bank Clerk Numerical Ability

Solved Paper

1 A , B & C started a business by investing Rs 1,20,000 , Rs 1 , 35 , 000 & Rs 1,50,000

respectively . Find the share of each , out of the annual profit of Rs 56, 700

(a) 16800 , 18900 , 21000 (b) 16800 , 18900 , 25000

(c) 16850 , 18900 , 21000 (d) 16820 , 18500 , 21000

2 A , B , C start a business each investing Rs 20,000 . After 5 month A withdrawal Rs

5000 , B withdrawal Rs 4000 & C invests Rs 6000 more . At the end of the year , a total

profit of Rs 69900 was recorded . Find the share of each .

(a) 20500 , 21200 , 28200 (b) 20501 , 21202 , 22200

(c) 28500 , 21200 , 28200 (d) 20500 , 21200 , 28200

3 A invested Rs 76000 in a business . After few month , B joined him with Rs 57000 . At

the end of the year , the total profit was divided between them in the ratio 2 : 1 . After

how many months did B join .

(a) 4 (b) 5

(c) 6 (d) 7

4 Anand & Deepak started a business investing Rs 22,500 & 35,000 . Out of a total profit

of Rs 13,800, Deepak’s share is

(a) 5400 (b) 7200

(c) 8400 (d) 9600

5 Reena & Shaloo are partner in a business . Reena invests Rs 35,000 for 8 months &

Shaloo invests Rs 42,000 for 10 months . Out of a profit of 31,570 , Reena’s share is

(a) 9471 (b) 12,628

(c) 18040 (d) 18492

6 Aman started a business investing Rs 70000 . Rakhi joined him after six months with

an amount of Rs 105000 & Sagar joined

Them with Rs 1.4 Lakh after another six months . The amount of profit earned should be

distributed in what ratio among Aman , Rakhi & Sagar respectively , 3 years after Aman

started a business ?

(a) 7 : 6 : 10 (b) 12 : 15 : 16

(c) 42 : 45 : 56 (d) can’t determine (e) none of these

7 A, B , C enter into a partnership . A initially invests 25 lakh & adds another 10 lakhs

after one year . B initially invests 35 lakh & withdrawal 10 lakh after 2 years & C invests

Rs 30 Lakhs . In what ratio shoud the profit be divided at the end of 3 years ?

(a) 10 : 10 : 9 (b) 20 : 20 : 19

(c) 20 : 19 : 18 (d) none of these

8 A , B , C invests 50000 in a business . A invests 4000 more than B & B Rs 5000 more

than C . Out of a total profit of 35000 A receives

(a) 8400 (b) 11900

(c) 13600 (d) 14700

Page 27: SBI Quantitative Aptitute

9 Three partners A , B , C start a business . twice A’s capital is equal to thrice B’s capital

& B’s Capital is four times C’s capital Out of a total profit of Rs 16500 at the end of a

year , B’s share is

(a) 4000 (b) 6000

(c) 7500 (d) 6600

10 In a business , A & C invested amounts in the ratio 2 : 1 , whereas the ratio between

amounts invested by A & B was 3 : 2 . If Rs 157300 was their profit , how much amount

did B receive

(a) 24200 (b) 36300

(c) 48400 (d) 72600

11 A , B , C enter into a partnership in the ratio 7/2 : 4/3 : 6/5 . After four months , A

invested his share by 50 % . If the total profit at the end of one year be rs 21600, then B’s

share in the profit is

(a) 2100 (b) 2400

(c) 3600 (d) 4000

12 X & Y invested in a business . They earned some profit which they divided in the ratio

2 : 3. If X invested Rs 40000 , the amount invested by Y is

(a) 45000 (b) 50000

(c) 60000 (d) 80000

13 A began a business with s 85000 . He was joined afterwards by with Rs 42500 . For

how much period does B join , if the profits at the end of the years are divided in the ratio

3 : 1 ?

(a) 4 months (b) 5 months

(c) 6 months (d) 8 months

14 A & B start a business jointly . A invests Rs 16000 for 8 month & B remains in a

business for 4 months . Out of total profit , B claims 2/7 of the profit . How much money

was contributed by B ?

(a) 10500 (b) 11900

(c) 12800 (d) 13600

15 A & B invest in a business in the ratio 3 : 2 . If 5% of the total profit goes to charity &

A’s share is 855 , the total profit is

(a) 1425 (b) 1500

(c) 1537.50 (d) 1576

16 If 4 ( A’s Capital ) = 6 ( B’s Capital ) = 10 ( C’s Capital ) , then out of the total profit

of Rs 4650 , C will receive

(a) 465 (b) 900

(c) 1550 (d) none of these

17 A, B , C enter into a partnership . A invest some money at the beginning , B invests

double the amount after six month & C invests thrice the amount after 8 months . If the

annual profit be Rs 27000 , C’s share is

(a) 8625 (b) 9000

(c) 10800 (d) 11250

18 A & B started a partnership business investing some amount in the ratio 3 : 5 . C

joined them after six months with an amount equal to that of B. In what proportion

should the profit at the end of one year be distributed among A , B , C

(a) 3 : 5 : 2 (b) 3 : 5 : 5

Page 28: SBI Quantitative Aptitute

(c) 6: 10 : 5 (d) data inadequate (e) none

19 A , B , C enter into a partnership & their share are in the ratio ½ : 1/3 : ¼ , after two

months , A withdraws half of the capitals & after 10 months , a profit of Rs 378 is

divided among them . What is B’s share

(a) 129 (b) 144

(c) 156 (d) 168

20 In a partnership , A invests 1/6 of the capital for 1/6 of the time , B invests 1/3 of the

capitals for 1/3 of the time & C , the rest of the capital for the whole time , out of a profit

of Rs 4600 , B’s share is

(a) 650 (b) 800

(c) 960 (d) 1000

21 A , B , C started a shop by investing Rs 27000 , 72000 , 81000 respectively . At the

end of the year , the profit were distributed among them . If C’s share of profit be 36000 ,

then total profit was

(a) 80000 (b) 95600

(c) 108 000 (d) 116000

22 A & B started a business jointly , A’s investment was thrice the investment of B & the

period of his investment was two times the period of investments of B . If B received Rs

4000 as profit , then their total profit is

(a) 16000 (b) 20000

(c) 24000 (d) 28000

23 Two friends started a business investing in the ratio 5 : 6 . R joined them after six

months investing an amount equal to that of Q’s . At the end of year , 20 % profit was

earned which was equal to 98000 . What was the amount invested by R

(a) 105 000 (b) 175000

(c) 210000 (d) Data Inadequate

(e) none

24 Three partner share the profit in a business in the ratio 5 : 7 : 8 . They had partnered

for 14 months , 8 months , 7 months . What was the ratio of their investments ?

(a) 5:7: 8 (b) 28 : 49 : 64

(c) 38 : 28 : 21 (d) none

25 A & B partner in a business , A contribute ¼ of the capital for 15 months & B

received 2/3 of the profit . For how many times B’s money was used

(a) 6 months (b) 9 months

(c) 10 months ( d) 1 years

AnswerS

1(a) , 2(a) , 3(a) , 4 (c) , 5(b) , 6(b) , 7 (d) , 8 (d) , 9 (b) , 10 (c) , 11 ( d ) , 12 (c) , 13 (d) ,

14 (c) , 15 (b) 16 (b) 17 (b) 18 (c) 19 (b) 20 (b) 21 (a) 22 (d) 23 (c) 24 (d) 25 (c)

Answers with Explanation :-

Q-1 Ratio of shares A , B , C = ratio of their investments = 120000 : 135000 : 150000 = 8

: 9 : 10

×A’s share = ( 56700 8/27 ) = 16800

9/27 ) = 18900×B’s share = ( 56700

×C’s share = ( 56700 10/27 ) = 21000

× 5 + 15000 ×Q-2 Ratio of the capitals of A , B , C = 20000 7× 5 + 26000 × 7 : 20000 ×

5 + 16000 ×7 : 20000

Page 29: SBI Quantitative Aptitute

205000 : 212000 : 282000 = 205 : 212 : 282

205/699) = 20500×A’s share = ( 69900

B’s share = (69900 212 / 699 ) = 21200×

282/699 ) = 28200×C’s share = ( 69900

Q-3 Let B joined after x month . Then, B’s money was invested for ( 12 – x ) month

( { 12 – x }) = 2/1× 12 ) / ( 57000 ×76000

912000 = 114000 ( 12 – x ), 912 = 114 ( 12 – x ) , x = 4

Hence , B joined after 4 months .

Q-4 Ratio of their share = 22500 : 35000 : = 9 : 14

14 /23 ) =×Deeepak share = ( 13800 8400

10 ) = 2 :× 8 ) : ( 42000 ×Q-5 Ratio of their shares = ( 35000 3

2/5) = 12628×Reena’s share = ( 31570

Q-6 Aman : Rakhi : Sagar = ( 24 ) = 12 : 15 : 16× 30 ) : ( 140000 × 36 ) : ( 105000

×70000

Q-7 A : B : C 1 ) : ( 30 lakh× 2 + 25 lakh × 2 ) : ( 35 lakh × 1 ) : ( 35 lakh ×= ( 25 lakh

3 )×

95 lakh : 95 lakhs : 90 lakhs = : 19 : 19 : 18

Q-8 Let C = x . Then B = ( x + 5000 ) & A = x + 5000 + 4000 = x + 9000

So , x + x + 5000 + x + 9000 = 50000 , 3x = 36000 , x = 12000

A : B : C = 21000 : 17000 : 12000 = 21 : 17 : 12

21 50 ) = 14700×A’s share ( 35000

Q-9 Let C = x . Then B = 4x & 4x = 12x or A = 6x×2A = 3

A : B : C = 6x : 4x : x = 6 : 4 : 1

So 4/11 ) = 6000×B’s capital = ( 16500

Q-10 A : B = 3 : 2 , B : A = 2 : 3 = 4 : 6 & A : C = 2 : 1 = 6 : 3

So B : A : C = 4 : 6 : 3 or A : B : C = 6 : 4 : 3

4/13 ) = 48400×B’s share = ( 157300

Q-11 Ratio of initial investments = 7/2 : 4/3 : 6/5 = 105 : 40 : 36

Let the initial investments be 105 x , 40x , 36x

4 +× 8 ) : ( 5x × 105x × 4 + 150/100 ×A : B : C = ( 105x 8 )×5x/2

1680x : 480x : 432x = 35 : 10 : 9

×Hence B’s share = ( 21600 10/54 ) = 4000

Q-12 Let Y invested Rs y . Then 40000 /y = 2/3 or y = 60000

x = 3/1× 12 ) / 42500 ×Q-13 Let B joined for x month . Then ( 85000

x = 8 , so B joined for 8 month .

Q-14 Let the total profit be x , then B = 2x/7 & A = ( x – 2x/7 ) = 5x/7

So A : B = 5x/7 : 2x /7 = 5 : 2

Let B’s 4 ) = 5/2 , y = 12800× 8 ) / ( y ×capital be Rs y . Then , ( 16000

Q-15 Let the total profit be Rs 100

×After paying to charity , A’s share = ( 95 3/5 ) = 57

If A’s share is 57 , then total profit = 100

If A’s share is 855 ) = 1500×855 , total profit = ( 10057

Q-16 Let 4A = 6B = 10 C = k

Therefore we can say that A = k/4 , B = k /6 , C = k /10

A : B : C = k/4 : k/6 : k /10 = 15 : 10 : 6

Page 30: SBI Quantitative Aptitute

×Therefore we can say that C’s share is = ( 4650 6 / 31) = 900

Here we use 6 because C’s ratio is 6

Q-17 Let A’s investments be x

× 6 ) : ( 3x × 12 ) : ( 2x ×Then , ratio of capitals = ( x 4 ) = 12x : 12x : 12x = 1: 1: 1

1 / 3) =×Therefore C’s share is = ( 27000 9000

Q-18 Let the initial investments of A & B is 3x & 5x

A : B : 6 ) = 36 : 60 : 30 = 6 : 10 : 5× 12 ) : ( 5x × 12 ) : ( 5x ×C = ( 3x

Q-19 Ratio of initial investments = ½ : 1/3 : ¼ = 6 : 4 : 3

Let their initials investments be 6x , 2x , 3x

12 ) : (× 10 ) : ( 4x× 2 + 3x ×A : B : C = ( 6x 12 ) = 42 : 48 : 36 = 7 : 8 : 6×3x

8 /21 ) =×B’s share is = ( 378 144

Q-20 Let A’s investments x /6 for y /6 months . Then , B’s investments is Rs x / 3 for y/3

months.

C invests[ x – (x/6 + x/3)] i. e., Rs. x/2 for y months.

y) = 1/36 : 1/9× y/3) : (x/2 × y/6) : (x/3 ×There for A:B:C = (x/6 : ½ = 1 : 4 : 18.

4/23 ) = Rs. 800.×Hence, B’s share = Rs. (4600

Q-21 A : B : C = 27000 : 72000 : 81000 = 3 : 8 : 9. So, C’s share : Total profit = 9 : 20.

20×Let the total profit be Rs x. Then, 9 / 20 = 36000 / x or x = (36000 / 9) = 80000.

Q-22 Suppose B invested Rs x & y month . Then , A invested Rs 3x for 2y months .

y ) = 6xy : xy = 6 :× 2y ) : ( x ×So A: B = ( 3x 1

Therefore B’s profit : total profit = 1 : 7

Suppose total profit be x . Then 1/7 = 4000 / x , or x = 28 000

Q-23 Let the total profit = z

20 % of x = 98000 , x = 490 000

Let the capitals of P , Q , R be 5x , 6x & 6x

12× 6 ) = 490 000 × 12 ) + ( 6x × 12 ) + ( 6x ×( 5x

x = 35 000

R’s investments = 6x = 6( 35000 ) = 210 000

Q-24 Let their investments be Rs x for 14 months , y for 8 months & z for 7 months

Then 14x : 8y : 7z = 5 : 7 : 8

14x / 8y = 5/7 , y = 7/4 z

14x /7z = 5/8 , z = 112 / 35 x = 16 /5 x

x: y : z = x : 7/4 x : 16/5 x = 30 : 35 : 64

Q-25 Let the total profit be z

B’s share is = 2z/3, A’s share = Rs. z/3.

There for A : B = z / 3 : 2z /3 = 1 : 2.

Let the total capital be rate x & suppose B’s money was used for x months. Then ,

SBI BANK CLERK NUMERICAL ABILITY

1. Minimum number that should be added to 23087 to make it completely divisible by 8

is ......

(a) 1 (b) 2 (c) 3 (d) 4

Page 31: SBI Quantitative Aptitute

Ans (a)

2. The angles ABC are 5x0, 7x0 and 6x0 respectively. What is the measure of the Ð

BCA?

(a) 500 (b) 600 (c) 700 (d) cannot decide

Ans (c)

3. 390× 1000 × 201 × 34 = ?

(a) 895 (b) 1540 (c) 1620 (d) 1780

Ans (c)

4. Ratio of costs of a table and a chair is 5:3 . If the tables cost Rs. 500 more than the cost

of chair's, what is the chair's cost?

(a) Rs. 1250 (b) Rs. 1750 (c) Rs. 1450 (d) Rs. 750

Ans (d)

5. 1646 − 13 × 18 + 249 = ? + 875

(a) 786 (b) 687 (c) 2486 (d) 2356

Ans (a)

6. A number when divided by 5 leaves the remainder 3. What is the remainder when the

square of the same number is divided by 5?

(A) 9 (b) 3 (c) 0 (d) 4

Ans (d)

7. 12% 650 + ? % of 400 = 110

(a) 25 (b) 18 (c) 8 (d) 80%

Ans (c)

8. train 'A' crosses a 160 m standing train 'B' in 15 sec and a standing person in 9 sec.

What is its speed?

(a) 96 km/hr (b) 72 km/hr (c) 84 km/hr (d) 92 km/hr

Page 32: SBI Quantitative Aptitute

Ans (a)

9. The type of matrix

√2 0 0

0 √3 0

0 0 √2

is?

(a) Scalar (b) Unit (c) Diagonal (d) Transpose

Ans (c)

10. The value of log 10000 is

(a) 4 (b) 8 (c) 5 (d) 6

Ans (a)

11. The sum of all numbers between 800 and 1100 which are divisible by 79 is

(a) 2846 (b) 2844 (c) 3844 (d) 3584

Ans (b)

12. The difference between the squares of any two consecutive integers is equal to

(a) Product of two numbers (b) Sum of two numbers

(c) Difference of two numbers (d) An even number

Ans (b)

13. 74 is divided into two parts so that 5 times one part and 11 times the others part are

together equal to 454. Then the parts are

(a) 14,60 (b) 60,14 (c) 30,44 (d) 20,34

Ans (b)

14. If 4 workers can make 42 toys in 6 days, how many toys can 12 workers make in 3

days?

Page 33: SBI Quantitative Aptitute

(a) 63 (b) 28 (c) 252 (d) 7

Ans (a)

15. The price of 349 coconuts are Rs 2094. What will be the price of 26 dozens of

coconuts?

(a) Rs 1662 (b) Rs 1562 (c) Rs 2062 (d) Rs 1872

Ans (d)

16. The area of a rectangular field is 10 times of its length. If the breadth of the field is

10m, what is its length?

(a) 40m (b) 25m (c) 20m (d) data inadequate

Ans (d)

16. The salary of an employee was reduced by 40% first and then was increased by 50%.

How much percent did he lose?

(a) 15% (b) 20% (c) 10% (d) 12%

Ans (c)

17. If 9 men & 15 women can do a piece of work in 25 days, then 39 men and 10 women

will complete the same work in

(a) 7 days (b) 6 days (c) 5 days (d) 4 days

Ans (c)

18. One person took a loan of Rs. 5000 for 3 yrs on simple interest. After three years he

paid back Rs. 6200 including the principal and the interest accrued. Calculate the rate of

interest.

(a) 6% (b) 7% (c) 8% (d) 7.5%

Ans (c)

19. The smallest number which when added to the number 1154 makes it a perfect square

is

(a) 1 (b) 2 (c) 3 (d) 4

Ans (b)

Page 34: SBI Quantitative Aptitute

20. The present age of Ramesh is ¼ of his father's age. After 4 years, the sum of their

ages will be 68. What is the present age of Ramesh?

(a) 10 yrs (b) 15 yrs (c) 16 yrs (d) 12 yrs

Ans (b)

21. Sheet metal required to make a hollow cone of height 24 cm and radius 7 cm is

(a) 407 cm2 (b) 250 cm2 (c) 704 cm2 (d) 400 cm2

Ans (c)

22. If 42 men can do a work in 15 days, how many men are required to complete it in 21

days?

(a) 24 (b) 36 (c) 30 (d) none of these

Ans (a)

23. Average marks in Maths in a class of 40 students is 45. Average of all the 30 boys is

50. Then the average marks obtained by the girls is

(a) 30 (b) 35 (c) 25 (d) none of these

Ans (a)

24. The largest angle of a quadrilateral is two times the smallest angle. If the angles form

a series (a, a+d, a+2d, a+3d), the other two angles would be

(a) 600, 1200 (b) 800, 1000 (c) 900, 1000 (d) 700, 900

Ans (b)

25. A mixture of 20 kg of spirit and water contains 10% water. How much water must be

added to this mixture to raise the percentage of water to 25%

(a) 4 kg (b) 5 kg (c) 8 kg (d) 30 kg

Ans (a)

26. A shopkeeper bought locks at the rate of 8 locks for Rs. 34 and sold them at 12 locks

for Rs. 57. The number of locks he should sell to have a profit of Rs. 900 is

(a) 1400 (b) 1600 (c) 1800 (d) 2000

Page 35: SBI Quantitative Aptitute

Ans (c)

27. A person travels equal distance with speed of 3 km/hr; 4 km/hr and 5 km/hr. and

takes a total time of 47 minutes. The total distance (in km) is

(a) 1 (b) 3 (c) 4 (d) 5

Ans (a)

28. The perimeter of a circular and another square field are equal. Find the area in sq.m of

the circular field if the area of the square field is 484 sq.m.

(a) 888 (b) 770 (c) 616 (d) None of these

Ans (c)

29. If the compound interest on a certain sum for 2 yrs at 10% annum is Rs. 2100, the

simple interest on it at the same rate for 2 yrs will be.

(a) Rs. 1700 (b) Rs. 1800 (c) Rs. 1900 (d) Rs. 2000

Ans (d)

30. The diagonal of a square A is x + y. The diagonal of a square 'B' with twice the area

of A is

(a) 2(x + y) (b) x + 2y (c) √2 (x + y) (d) 2x + 4y

Ans (c)

31. If 10x+3y : 5n+2y = 9:5, then x : y is

(a) 3:5 (b) 5:3 (c) 2:5 (d) 1:2

Ans (a)

32. A conical tent of radius 12m and height 16m is to be made. Find its cost if canvas is

Rs. 10 per m2

(a) Rs 7543 (b) Rs 7445 (c) Rs 7342 (d) 7600

Ans (a)

33. 1, 5, 14, 30, ?, 91

Page 36: SBI Quantitative Aptitute

(a) 45 (b) 55 (c) 46 (d) 60

Ans (b)

34. 1, 2, 4, 6, 7, 10, 10, ?, 13

(a) 7 (b) 11 (c) 14 (d) 12

Ans (c)

35. 2, 6, 30, 60, 130, ?

(a) 210 (b) 216 (c) 200 (d) 160

Ans (a)

SBI BANK CLERK NUMERICAL ABILITY

Directions (question 1 to 12) Completing the given Series

Q:1 5 , 10 , 13 , 26 , 58 , 61 , ( ----- )

(a) 122 (b) 12 (c) 128 (d) 64

Q: 2 2, 9, 28, 65, 126, (--------).

(a) 229 (b) 223 (c) 217 (d) 199

Q: 3 2, 4, 7, 11, 16, (------).

(a) 18 (b) 20 (c) 22 (d) 25

Q: 4 5, 9, 6, 11, 7, (---------).

(a) 13 (b) 15 (c) 17 (d) 19

Q: 5 11, 13, 17, 19, 23, 29, 31, 37, 41, (---------).

(a) 43 (b) 47 (c) 51 (d) 53

Q: 6 97, 86, 73, 58, 45, (--------).

(a) 34 (b) 54 (c) 55 (d) 56

Q: 7 1 , 3 , 4 , 8 , 15 , 27 , ( -----)

(a) 37 (b) (c) 50 (d) 55

Q: 8 212 , 179 , 146 , 113 , ( ------- )

(a) 91 (b) 79 (c) 112 (d) 80

Q: 9 1 , 9 17 , 33 , 49 , 73 , ( ----- )

(a) 97 (b) 98 (c) 99 (d) 100

Q: 10 2 , 5 , 11 , 23 , 47 , ( ---- )

(a) 49 (b) 52 (c) 95 (d) 106

Q: 11 9 , 12 , 11 , 14 , 13 , ( ------ ) , 15

(a) 12 (b) 16 (c) 10 (d) 17

Q: 12 165 195 , 255 , 285 , 345 , ( ----- )

(a) 375 (b) 420 (c) 435 (d) 390

Directions (question 13 to 30) Finding the Wrong Term In The Given Series . In all these

question from 13 to 30 one term in the number series is wrong . Find out the wrong term

Q: 13 8 , 13 , 21 , 32 , 47 , 63 , 83

Page 37: SBI Quantitative Aptitute

(a) 21 (b) 13 (c) 23 (d) 83 (e) 47

Q: 14 1 , 3 , 10 , 21 , 64 , 129 , 356 , 777

(a) 10 (b) 21 (c) 356 (d) 129 ( e) 164

Q: 15 6 , 12 , 48 , 100 , 384 , 768 , 3072

(a) 768 (b) 384 (c) 100 (d) 48 (e) 12

Q: 16 3 , 7 , 15 , 39 , 63 , 127 , 255 , 511

(a) 39 (b) 15 (c) 7 (d) 63 (e) 127

Q: 17 8 , 27 , 125 , 343 , 1331

(a) 1331 (b) 343 (c) 125 (d) 8 (e) none

Q: 18 6 , 13 , 18 , 25 , 30 , 37 , 40

(a) 25 (b) 30 (c) 37 (d) 40 (e) 13

Q: 19 8 , 13 , 21 , 32 , 47 , 63 , 83

(a) 13 (b) 47 (c) 63 (d) 32 (e) 83

Q: 20 25 , 36 , 49 , 81 , 121 , 169 , 225

(a) 36 (b) 49 (c) 121 (d) 169 (e) 225

Q:21 1 , 2 , 6 , 15 , 31 , 56 , 91

(a) 31 (b) 15 (c) 56 (d) 91 (e) none of these

Q: 22 2 , 5 , 10 , 17 , 26 , 37 , 50 , 64

(a) 50 (b) 17 (c) 26 (d) 37 (e) 64

Q: 23 46080 , 3840 , 384 , 48 , 24 , 2 , 1

(a) 1 (b) 2 (c) 24 (d) 48 (e) 384

Q: 24 52 , 51 , 48 , 43 , 34 , 27 , 16

(a) 51 (b) 48 (c) 34 (d) 43 (e) 27

Q: 25 105 , 85 , 60 , 30 , 0 , – 45 , – 9 0

(a) 0 (b) 85 (c) 60 (d) – 45 (e) 105

Q: 26 325 , 259 , 202 , 160 , 127,105,94

(a) 94 (b) 127 (c) 105 (d) 202 (e) 259

Q: 27 112, 114, 120, 124, 127, 123, 129

(a) 114 (b) 120 (c) 124 (d) 132 (e) 142

Q: 28 125, 126, 124, 127, 123, 129

(a) 123 (b) 124 (c) 126 (d) 127 (e) 129

Q: 29 3, 4, 10, 32, 136, 685, 4116

(a) 136 (b) 10 (c) 4116 (d) 685 (e) 32

Q: 30 196, 169, 144, 121, 100, 80, 64

(a) 169 (b) 144 (c) 121 (d) 100 (e) 80

ANSWER SHEET

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

a c c a a a c d a c b c e c c

16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

a e d b a d e c c a d b e e e

Answers With Explanatios :

1. Multiplied by 2 & increased by 3

5 2 = 26, 26 + 3 = 29× 2= 10, 10 +3 = 13, 13 ×

There for missing number is 61 2 = 122×

2. 13 + 1, 23 + 1, 33 +1, 43 + 1, 53 + 1

Page 38: SBI Quantitative Aptitute

There for missing number is 63 + 1= 217.

3. Difference between consecutive no; increased by 1

2 +3 + 4 + 5---------

There for missing number is 16 + 6 = 22.

4. It is a combination of two series = 5, 6, 7, & 9, 11, (--------)

There for missing number is 11+ 2 = 13.

5. Series consists of Prime no:.

There for missing number is 43.

6. Sequence is – 11 , – 13 , – 15 , – 13------------

There for missing number is 45 – 11 = 34.

7. Sum of any three consecutive terms of the series gives the next term.

Thus, 1 +3 +4 = 8; 3+4+8 = 15; 4+8+15= 27 & so on.

There for missing number is 8+ 15 +27 = 50.

8. 33 is subtracted from each term of the series to obtain the next term.

There for missing number is 113 – 33 = 80

9. The sequence is +8, +8, +16, +16, +24----------

There for missing number is 73 + 24 = 97

10. The sequence is +3, +6, +12, +24, ------------

There for missing number is 47 9 +48 = 95.

11. Alternately we add 3 & subtract 1.

Thus 9 +3=12, 12 – 1 = 11, 11+3 = 14 & so on.

There for missing number is 13+3= 16.

12. In each term 15 multiplied a prime no. i. e.

19,×17, 15×13, 15× 11, 15×15 23,×15

29 = 435.×There for missing number is = 15

13. The sequence is +5, +8, +11, +14, +17, +20

There for 47 breaks this sequence & The correct sequence is =46

14 Suppose the terms of the series as A, B, C, D-------------

3+1×2+1, D×3+ 1, C×2+1, B×Then the sequence is A

There for wrong number is 356.

15. Each term at even place in the series, except 100 is obtained multiplying the

preceding term by 2.

There for wrong number is 100 & the correct term is 96.

16 each number in the series is multiplied by 2 & the result is increased by 1 to obtain the

next number

17 The no. are cube of prime number , i.e 23 , 33 , 53 , 73 ----------------

18 The sequence is , +7 , +5 , + 7 , + 5

19 The sequence is , +5 , + 8 , + 11 , + 14 , +17 , +30

20 The correct sequence is 52 , 72 , 92 , --------------------

21 The sequence is , +12 , +22 , +32 , ------------------

22 The nos. are 12 + 1 , 22 + 1 , -------------------------

23 The terms are successively divided by 12 , 10 , 8 , 6

24 The sequence is , – 1 , – 3 , – 5 , -----------------------

25 The sequence is , – 20 , – 25 , – 30 , – 35 --------------

26 The sequence is , – 66 , – 55 , – 44 , ----------------

27 The sequence is , +2 , +4 , + 6

Page 39: SBI Quantitative Aptitute

28 The sequence is , +1 , – 2 , +3 , – 4 , ------------------

29 The sequence is as follows

2nd term = ( 1st term + 1) 1

3rd term = ( 2nd term + 1 ) 2 etc

30 The sequence is ( 14 )2 , ( 13)2 , (12)2 , (11)2 , (10)2

1 . How many solid spherical balls each of radius 1 cm can be made out of solid metallic

cube of edge 22 cm?

(a) 22

(b) 120

(c) 121

(d) 2541

(e)None of these

Ans (d)

2. There are 26 students in a class and one of them who is 14 years old leaves the class

and his place is filled up by a newcomer, if the average age is thereby lowered by one

month, what is the age of the newcomer?

(a) 11 years 11 months

(b) 12 years

(c) 13 years 11 months

(d) 16 years

(e)None of these

Ans (a)

3. The average divided paid during 7 years by a company is 17.5%. The dividend paid for

the first 6 years were, respectively, 12.5, 15, 18, 12.5 and 18 percent. What is the

dividend for the 7th year?

(a) 17.5%

(b) 18.5%

(c) 26.5%

(d) 25%

(e)None of these

Ans (c)

4.

The average price of 12 different books is Rs 16 while the average price of 10 of these

books is Rs 16.10. Of the remaining two books if the price of one is 50% more than the

price of the other. What is the price of these two books?

(a) Rs 13, Rs 19.50

(b) Rs 24, Rs 36.15

(c) Rs 12.40, Rs 18.60

(d) Rs 16.40, Rs 24.60

(e)None of these

Ans (d)

Page 40: SBI Quantitative Aptitute

5. The average salary per head of all the employees in an institution is Rs 1600. The

average salary per head of 40 officers is Rs 2950, the average salary per head of the rest

is Rs 600. What is the total number of workers?

(a) 37

(b) 64

(c) 59

(d) 63

(e)None of these

Ans (b)

6. The mean temperature from 4th to 11th February, both days inclusive, was 34.60C and

from 5th to 12th it was 39.80C; the mean temperature on the 4th was 30.50C, what was it

on the 12th?

(a) 37.70C

(b) 43.40C

(c) 72.10C

(d) 73.20C

(e)None of these

Ans (c)

7. An aeroplane flies once round a square whose side is 100 km long, taking the first side

at 160 km per hour, the second side at 200 km per hour, the third side at 320 km per hour

and the fourth side at 400 km per hour. What is the average speed (approximate) of the

plane in its flight around the square?

(a) 327 km/h

(b) 237 km/h

(c) 213 km/h

(d) 192 km/h

(e)None of these

Ans (b)

8. A batsman finds that by scoring a century in the 11th innings of his test games he has

bettered his average of the previous ten innings by 5. What is his average after the 11th

innings?

(a) 40

(b) 50

(c) 45

(d) 95

(e)None of these

Ans (c)

9. The average of six numbers n1, n2, n3, n4, n5, n6, is while the average of n2, n3 and

n4, is 6, n6 is greater than n1 by 2 and n5 is 8. What are the values of n1 and n6?

(a) 6, 8

Page 41: SBI Quantitative Aptitute

(b) 5, 7

(c) 7, 9

(d) 11, 13

(e)None of these

Ans (c)

10. If 101525 = 33.5, then the value of log (3.25), when rounded to the nearest tenth is

(a) 1.5

(b) 1.6

(c) 0.6

(d) 0.5

(e)None of these

Ans (d)

11. What is the percentage error, correct to three places of decimal, if 0.48 is written

correct to one place to decimal?

(a) 0.02

(b) 0.021

(c) 4.166

(d) 4.167

(e)None of these

Ans (d)

12. When 0.004284 is approximated to 0.0043 correct to the nearest ten thousandth,

significant figures are

(a) 4 and 3

(b) 0.4 and 3

(c) 0.4 and 2

(d) 4.167

(e)None of these

Ans (a)

13. If the value of π is taken as 22/7 instead of 3.1416, what percentage error is made?

(a) 0.04%

(b) −0.04%

(c) 0.4%

(d) −0.4%

(e)None of these

Ans (b)

14. 6.75924 when rounded to the nearest thousandth becomes

(a) 6.760

(b) 6.7592

Page 42: SBI Quantitative Aptitute

(c) 6.759

(d) 6.7593

(e)None of these

Ans (a)

15. 90099 when rounded to the nearest thousand becomes

(a) 0099

(b) 9099

(c) 90000

(d) 90100

(e)None of these

Ans (c)

16. In six equal groups, 1265 plants are to be arranged. How many plants will be left out

of the groups?

(a) 5

(b) 4

(c) 3

(d) 2

(e)None of these

Ans (a)

17. Sanjay wants to reach the Railway station at 10.00 am. The station is 10 km away

from his house. If Satish walks at the speed of 4 km/hour at what time shall he start from

his home?

(a) 7 am

(b) 7.30 am

(c) 7.45 am

(d) 8.00 am

(e)None of these

Ans (b)

18. Piyush gave one-fourth of his money to Suyash. Suyash in turn gave one—third of

what he received, to Jayesh. If the difference between the amount of Suyash and Jayesh is

Rs 100, how much money did Sanjay have?

(a) Rs 450

(b) Rs 600

(c) Rs 800

(d) Rs 900

(e)None of these

Ans (d)

19. Sixteen men can complete a work in fifteen days. Twenty four children can do the

same work in twenty days. In how many days will eight men and eight children together

complete the same work?

Page 43: SBI Quantitative Aptitute

(a) 16

(b) 15

(c) 25

(d) 18

(e) None of these

Ans (e)

20. The ratio between the ages of P and Q four years ago was 5:6. If the total of their ages

at present is 52 years, what is the ratio of their present ages?

(a) 4:5

(b) 8:9

(c) 7:8

(d) 6:7

(e) None of these

Ans (d)

21. If 40 percent of a number is 120, what is 5/6th of that number?

(a) 200

(b) 300

(c) 250

(d) 180

(e) None of these

Ans (c)

22. The ratio between two numbers is 11:9. If the sum of these two numbers is 40, what

is the product these two numbers?

(a) 396

(b) 432

(c) 400

(d) 384

(e) None of these

Ans (a)

23. The ratio between the length and and the breadth of a rectangular garden is 5:3. If the

perimeter of the garden is 160 meters, what will be the area of a 5 meter wide road

around it's outside?

(a) 600 sq.meters

(b) 1,200 sq.meters

(c) 900 sq meters

(d) Data inadequate

(e) None of these

Ans (c)

24. Monty bought an article with 30 percent concession on the labelled price. he sold it

for Rs 1,820 with 30 percent profit on the labelled price. At what price did he buy the

article?

Page 44: SBI Quantitative Aptitute

(a) Rs 1,274

(b) Rs 980

(c) Rs 1,456

(d) Rs 1,092

(e) None of these

Ans (b)

25. The average age of 25 boys in a class is 16 years. If the age of two teachers are added,

the average increases by one. What is the sum of the ages of these two teachers?

(a) 68 years

(b) 59 years

(c) 49 years

(d) 64 years

(e) None of these

Ans (b)

FREE BANK PO /SBI CLERK SOLVED PAPER ON : http://allexam.blogspot.com

FREE EXAMINATION SOLVED PAPER ON : http://indiaknow.blogspot.com

1. A clock shows the time as 6 a.m. If the minute hand gains 2 minutes every hour,

how many minutes will the clock gain by 9 p.m.?

(a) 30 minutes

(b) 25 minutes

(c) 28 minutes

(d) 34 minutes

1.Study each of the following table and choose the alternative which can

best replace the question mark (?)

1 2 3 2 10 12

2 5 12 10 16 13

1 2 1 ? 10 24

(a) 5 (b) 11 (c) 13 (d) 8

Ans (c)

2. Study each of the following table and choose the alternative which can

best replace the question mark (?)

3 8 10 2 ? 1

6 56 90 2 20 0

Page 45: SBI Quantitative Aptitute

(a) 0 (b) 3 (c) 5 (d) 7

Ans (c)

3.In the following question one term in the number series is wrong. Find out

the wrong term.

11, 5, 20, 12, 40, 26, 74, 54

(a) 5 (b) 20 (c) 40 (d) 26

Ans (c)

4. In the following question one term in the number series is wrong. Find

out the wrong term.

8, 14, 26, 48, 98, 194, 386

(a) 14 (b) 48 (c) 98 (d) 194

Ans (b)

5. Calculate value of each word by the following formula:

Consonants = (2 × Position of the letter in alphabet) - 1

Vowels = (3 × Position in alphabet) + 1

CHANGE

(a) 77 (b) 79 (c) 83 (d) 80

Ans (d)

6. Calculate value of each word by the following formula:

Consonants = (2 × Position of the letter in alphabet) - 1

Vowels = (3 × Position in alphabet) + 1

FLUTE

Page 46: SBI Quantitative Aptitute

(a) 153 (b) 157 (c) 151 (d) 149

Ans (a)

7. Calculate value of each word by the following formula:

Consonants = (2 × Position of the letter in alphabet) - 1

Vowels = (3 × Position in alphabet) + 1

BREAD

(a) 67 (b) 62 (c) 59 (d) 65

Ans (d)

8. In a certain code language, ‘3a, 2b, 7c’ means ‘Truth is Eternal’; ‘7c, 9a,

8b, 3a’ means ‘Enmity is not Eternal’ and 6a, 4d, 2b, 8b’ means ‘Truth does

not perish’. Which of the following means ‘enmity’ in that language?

(a) 3a (b) 7c (c) 8b (d) 9a

Ans (d)

9. In a certain code language, ‘po ki top ma’ means ‘Usha is playing cards’;

‘Kop ja ki ma’ means ‘Asha is playing tennis’; ki top sop ho’ means ‘they are

playing football’; and ‘po sur kop’ means ‘cards and tennis’. Which word in

that language means ‘Asha’?

(a) ja (b) ma (c) kop (d) top

Ans (a)

10. A girl was born on September 6, 1970, which happened to be a Sunday.

Her birthday has again fall on Sunday in

(a) 1975 (b) 1976 (c) 1977 (d) 1981

Ans (d)

Page 47: SBI Quantitative Aptitute

11. A long rope has to be cut to make 23 small pieces. If it is double folded

to start with how many times does it need to be cut?

(a) 9 (b) 23 (c) 11 (d) 12

Ans (c)

12. There are 19 hockey players in a club. On a particular day 14 were

wearing the hockey shirts prescribed, while 11 were wearing the prescribed

hockey pants. None of them was without either hockey pants or hockey

shirts. How many were in complete hockey uniform?

(a) 8 (b) 6 (c) 9 (d) 7

Ans (b)

13. In a class room three fourth of the boys are above 160 cm in height and

they are 18 in number. Also out of the total strength, the boys form only

two third and the rest are girls. The total number of girls in the class is

(a) 18 (b) 24 (c) 12 (d) 30

Ans (c)

14. ‘A’ is east of ‘B’ and west of ‘C’. ‘H’ is South-West of ‘C’, ‘B’ is South-East

of ‘X’. which is farthest West?

(a) C (b) A (c) X (d) B

Ans (c)

15. A girl earns twice as much in December as in each of the other months.

What part of her entire year’s earning does she earn in December?

(a) 2/11 (b) 2/13 (c) 3/14 (d) 1/6

Ans (b)

16. One watch is 1 minute slow at 1 pm on Tuesday and 2 minutes fast at 1

pm on Thursday. When did it show the correct time?

Page 48: SBI Quantitative Aptitute

(a) 1.00 am on Wednesday (b) 5.00 am on Wednesday (c) 1.00 pm on

Wednesday (d) 5.00 pm on Wednesday

Directions (Question 17 to 22) :Given a statement followed by two

assumptions numbered I and II. You have to consider the statement and

the following assumptions and decide which of the assumptions is implicit

in the statement.

Mark (a) if only assumption I is implicit

Mark (b) if only assumption II is implicit

Mark (c) if either I or II is implicit

Mark (d) if neither I or II is implicit

17.Statement: Even with the increase in the number of sugar factories in

India. We still continue to import sugar.

Assumptions :I. The consumption of sugar per capita has increased in India.

II. Many of the factories are not in a position to produce sugar to their

fullest capacity.

Ans (c)

18.Statement :I cannot contact you on phone from Karshik.

Assumption : I. Telephone facility is not available at Karshik.

II. Nowadays it is difficult to contact on phone.

Ans (b)

19.Statement : The government has decided to reduce the custom duty on

computer peripherals.

Assumptions : I. The domestic market price of computer peripherals may go

up in near future.

II. the domestic manufacturers may oppose the decision.

Page 49: SBI Quantitative Aptitute

Ans (a)

20. Statement : In Bombay, railway trains are indispensable for people in

the suburbs to reach their places of work on time.

Assumptions : I. Railway trains are the only mode of transport available in

the suburbs of Bombay.

II. Only railway trains run punctually.

Ans (a)

21. Statement :The private bus services in the city has virtually collapsed

because of the ongoing strike of its employees.

Assumptions : I. Going on strikes has become the right of every employee.

II. People no more require the services of private bus operators.

Ans (b)

22. Statement : Detergents should be used. to clean clothes.

Assumptions : I. Detergents from more lather.

II. Detergents help to dislodge grease and dirt.

Ans (d)

23. Which letter when placed at the sign of interrogation shall complete the

matrix?

A D H

F I M

? N R

(a) P (b) N (c) K (c) O

Ans (c)

Page 50: SBI Quantitative Aptitute

24. Which letter when placed at the sign of interrogation shall complete the

matrix?

A M B N

R C S D

E U F ?

(a) T (b) F (c) V (d) R

Ans (c)

25. Which number when placed at the sign of interrogation shall complete

the matrix?

1 4 9 ?

1 2 3 4

2 4 6 ?

(a) 16 and 8 (b) 36 and 4 (c) 25 and 5 (d) 49 and 7

Ans (a)

26. Which number when placed at the sign of interrogation shall complete

the matrix?

6 6 8

5 7 5

4 3 ?

120 126 320

(a) 12 (b) 16 (c) 8 (d) 4

Ans (c)

Page 51: SBI Quantitative Aptitute

27. In the following questions, there are given two statements followed by

two conclusions numbered I and II. You have to take the two given

statements to be true even if they seem to be at variance from commonly

known facts and then decide which of the given conclusions logically follows

from two given statements, disregarding commonly known facts. Read both

the statements and give answer as:

(a) If only conclusion I follows. (b) If only conclusion II follows.

(c) If either I or II follows. (d) If neither I nor II follows.

Statements: I. Many scooters are trucks. II. All trucks are trains

Conclusions: I. Some scooters are trains. II. No truck is a scooter.

Ans (a)

28. In the following questions, there are given two statements followed by

two conclusions numbered I and II. You have to take the two given

statements to be true even if they seem to be at variance from commonly

known facts and then decide which of the given conclusions logically follows

from two given statements, disregarding commonly known facts. Read both

the statements and give answer as:

(a) If only conclusion I follows. (b) If only conclusion II follows.

(c) If either I or II follows. (d) If neither I nor II follows.

Statements: I. All cars are cats. II. All fans are cats.

Conclusions: I. All cars are fans. II. Some fans are cars.

Ans (d)

29. In the following questions, there are given two statements followed by

two conclusions numbered I and II. You have to take the two given

statements to be true even if they seem to be at variance from commonly

known facts and then decide which of the given conclusions logically follows

Page 52: SBI Quantitative Aptitute

from two given statements, disregarding commonly known facts. Read both

the statements and give answer as:

(a) If only conclusion I follows. (b) If only conclusion II follows.

(c) If either I or II follows. (d) If neither I nor II follows.

Statements: I. All pilots are experts. II. All authors are pilots.

Conclusions: I. All authors are experts. II. No expert in an author.

Ans (a)

30.In the following questions, there are given two statements followed by

two conclusions numbered I and II. You have to take the two given

statements to be true even if they seem to be at variance from commonly

known facts and then decide which of the given conclusions logically follows

from two given statements, disregarding commonly known facts. Read both

the statements and give answer as:

(a) If only conclusion I follows. (b) If only conclusion II follows.

(c) If either I or II follows. (d) If neither I nor II follows.

Statements: I. Some doctors are institutes. II. Some crooks are institutes.

Conclusions: I. All institutes are doctors. II. Some institutes are crooks.

Ans (b)

1. A clock shows the time as 6 a.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 9 p.m.? (a) 30 minutes (b) 25 minutes (c) 28 minutes (d) 34 minutes 2. Find the right number, from the given options, at the place marked by the question mark: 2, 4, 8, 32, 256, ? (a) 4096

Page 53: SBI Quantitative Aptitute

(b) 8192 (c) 512 (d) 1024 3. Find the number missing at question mark: 10, 11, 23, 39, 64, ?, 149 (a) 100 (b) 103 (c) 78 (d) 128 4. A super fast bus of KSRTC starting from 'Trivandrum' and reaches 'Attingal' in 45 minutes with an average speed of 40 km/hr. If the speed is increased by 10 km/hr how much time it will take to cover the same distance? (a) 34 minutes (b) 36 minutes (c) 38 minutes (d) 40 minutes 5. The difference between 6 times and 8 times of a figure is 14. What is the figure? (a) 12 (b) 9 (c) 7 (d) 6 6. If 92y = 36 what is 9y? (a) 4 (b) 6 (c) 9 (d) 18 7. One fourth percent of 180 is: (a) 4.5 (b) 0.45 (c) 0.045 (d) 45 8. A candidate appearing for an examination has to secure 40% marks to pass paper I. But he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper I? (a) 100 (b) 200 (c) 180 (d) 150 9. Find the missing number 32, 52, 74, 112, 135 ............... (a) 16 (b) 15 (c) 17 (d) 14 10. If 250 is increased to 300, what is the percentage increase? (a) 16.67 (b) 20 (c) 23 (d) 17 11. The ratio of 9 seconds to 10 hours is ............. (a) 1:40 (b) 1:4000 (c) 9:10 (d) 1:400 12. A person lost 10% when he sold goods at Rs.153. For how much should he sell them

Page 54: SBI Quantitative Aptitute

to gain 20%? (a) 204 (b) 250 (c) 240 (d) 210 13. What will be xy if 7862xy is to be divisible by 125? (a) 25 (b) 00 (c) 75 (d) 50 14. A train of 100 meters long is running at the speed of 36 km per hour. In what time it passes a bridge of 80 meters long? (a) 30 seconds (b) 36 seconds (c) 20 seconds (d) 18 seconds 15. If two-third of a bucket is filled in one minute then the time taken to fill the bucket completely will be ....... (a) 90 seconds (b) 70 seconds (c) 60 seconds (d) 100 seconds 16. If a quarter kilogram costs Rs. 60 then how much will cost for 150 grams? (a) Rs. 30 (b) Rs. 24 (c) Rs. 36 (d) Rs. 40 17. If 3 men or 6 boys can do a piece of work in 20 days then how many days with 6 men and 8 boys take to do the same work? (a) 5 (b) 8 (c) 10 (d) 6 18. Find the sum of first 100 natural numbers (a) 5050 (b) 5005 (c) 9900 (d) 9050 19. Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance between their feet is 12 meters then find the difference in the distance between their tops: (a) 12m (b) 5m (c) 13m (d) 11m 20. How many balls of radius 4 cm can be made from a solid sphere of lead of radius 8 cm? (a) 4 (b) 8 (c) 16 (d) 2 21. The solution to x2 +6x+9 = 0 is ........ (a) x1 = + 3, x2 = -3 (b) x1 = 3, x2 = 3 (c) x1 = -3, x2 = -3 (d) No solution 22. What is the chance of getting a 2 or 4 in rolling a die? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2 23. At what rate of simple interest per annum an amount will be doubled in 10 years? (a) 10% (b) 7.5% (c) 16% (d) 15% 24. Five times an unknown number is 5 less than 50. The unknown number

Page 55: SBI Quantitative Aptitute

(a) 10 (b) 11 (c) 9 (d) 5 25. The acute angle between the hour hand and minute hand of a clock at 4 PM (a) 900 (b) 1200 (c) 1500 (d) 2400 26. Water is filled in a cylindrical vessel in such a way that its volume doubles after every five minutes. If it takes 30 minutes for the vessel to be full, then the vessel will be one fourth full in (a) 20 minute (b) 25 minutes (c) 7 minutes 30 seconds (d) 10 minutes 27. If 10 cats can kill 10 rats in 10 minutes how long will it take 100 cats to kill 100 rats (a) 1 minutes (b) 10 minute (c) 100 minutes (d) 10000 minutes 28. If 75 % of a number is added to 75, the result is the number itself, then the number is: (a) 250 (b) 750 (c) 400 (d) 300 29. A school has enough food for 400 children for 12 days. How long will the food last if 80 more children join them? (a) 6 days (b) 7 days (c) 10 days (d) 8 days 30. The sum of two consecutive numbers is 55, which is the largest number? (a) 25 (b) 28 (c) 26 (d) 27 31. When a shop keeper sold 2/3 of an item, he got the cost price of the whole lot. What is the percentage of his profit? (a) 33 1/8 % (b) 66 2/3 % (c) 25 % (d) 50 % 32. The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is: (a) 7,200m2 (b) 15,000m2 (c) 54,000m2 (d) 13,500m2 33. If you add 100 to a certain number, the result will be more than, if you multiply that number by 1000 what is that number? (a) 1.5 (b) 1.0 (c) 2.5 (d) 2.0 34. A student has to secure 40 % marks to pass. He gets 150 marks and fails by 30 marks. What is the maximum marks? (a) 400 (b) 500 (c) 475 (d) 450 35. The circumcentre of an obtuse triangle will always be in the (a) Interior of the triangle

Page 56: SBI Quantitative Aptitute

(b) Midpoint of the diameter (c) Exterior of the triangle (d) Midpoint of the side of the triangle 36. What is the degree measure of a semicircle? (a) 360 (b) 90 (c) 270 (d) 180 37. Which among the following is the point of intersection of the medians of a triangle? (a) Circumcentre (b) Centroid (c) Orthocenter (d) Incentre 38. The height of a cone and its base diameter are equal. If the base radius is 'r' what is its slant height? (a) 3r (b) 4r (c) v5r (d) v3r 39. The radii of two spheres are in the ratio 2:3. What is the ratio of their surface areas? (a) 4:9 (b) 2:3 (c) 8:27 (d) 4:6 40. What is the common ratio of the progression 3v2, 6, 6v2 ? (a) 3 (b) 2 (c) v2 (d) v3 41. In class of 100 students 50 students passed in Mathematics and 70 passed in English, 5 students failed in both Mathematics and English. How many students passed in both the subjects? (a) 25 (b) 30 (c) 50 (d) 45 42. Speed of a boat in still water is 9 km/hr. It goes 12 km down stream and comes back to the starting point in three hours.What is the speed of water in the stream? (a) 3 km/hr (b) 4 km/hr (c) 4.5 km/hr (d) 5 km/hr 43. A student was asked to add 16 and subtract 10 from a number.He by mistake added 10 and subtracted 16. If his answer is 14 what is the correct answer? (a) 20 (b) 26 (c) 30 (d) 32 44. Find the area of a right angled triangle whose hypotenuse is 10 cm and base 8 cm. (a) 48 sq.cm (b) 34 sq.cm (c) 24 sq.cm (d) 42 sq.cm 45. Find the next term of the series: 3, 6, 9, 18, 27, 54, ...... (a) 81 (b) 69 (c) 63 (d) 57 46. A number consists of 20 plus 20% of its value. The number is: (a) 20 (b) 22 (c) 25 (d) 30 47. 20% of 5 + 5% of 20 =

Page 57: SBI Quantitative Aptitute

(a) 5 (b) 2 (c) 6 (d) 21 48. The angle between the minute hand and the hour hand of a clock, when the time is 8.30 (a) 800 (b) 600 (c) 1050 (d) 750 49. Rs. 1581 is divided among A, B and C in the ratio 10 : 15 : 6. What is the share of B? (a) 306 (b) 765 (c) 700 (d) 510 50. The sum of four consecutive counting numbers is 154. Find the smallest number: (a) 36 (b) 37 (c) 38 (d) 31 Answers 1 A 11 B 21 C 31 D 41 A 2 B 12 A 22 B 32 D 42 A 3 A 13 D 23 A 33 B 43 B 4 B 14 D 24 C 34 D 44 C 5 C 15 A 25 B 35 C 45 A 6 B 16 C 26 A 36 D 46 C 7 C 17 D 27 B 37 B 47 B 8 D 18 A 28 D 38 C 48 D 9 C 19 C 29 C 39 C 49 B 10 B 20 B 30 B 40 C 50 B

PAPER : SBI CLERK MODEL PAPER ONLINE NUMERICAL ABILITY

1. Let R = qs—4. When s=8, R=16. When s=10, R is equal toa. 11b. 14c. 20d. 21

Answer-d

3. If 272/3 × 81-1/2 = 3x, the value of x isa. -1b. 0c. 1d. 2

Answer -b

Page 58: SBI Quantitative Aptitute

4. 0.333 .... × 0.444 .... is equal to a. 0.148148148 ....b. 0.777 ....c. 0.121212 ....d. 1.333 ....

Answer-a

9. On converting the following base-2 numeral in base ten, 1101101, we geta. 96b. 104c. 108d.

109

Answer-d

10. The number of prime factors of (6)10×(7)17×(55)27 a. 54b. 64c. 81d. 91

Answer-d

11. A train crosses a pole in 15 seconds, while it crosses 100 meter long platform in 25 seconds.

The length of the train is -a. 125mb. 135 mc. 159 md. 175 m

Answer-c

12.Two taps A and B can fill a tank in 12 minutes and 15 minutes respectively. If both the taps

are opened simultaneously and the tap A is closed after 3 minutes, then how much more time

will it take to fill the tank by tap B?a. 7 min & 15 secb. 7 min & 45 secc. 8 min & 5 secd. 8 min

& 15 sec

Answer-d

13. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In what

ratio, the liquids be mixed in both the vessels so that the new liquid contains half milk and half

water?a. 7:5b. 1:2c. 2:1d. 6:5

Answer-a

14.A car covers a distance of 715 km at a constant speed. If the speed of the car would have

been 10 km/hr more, then it would have taken 2 hours less to cover the same distance. What is

the original speed of the car?a. 45 km/hrb. 50 km/hrc. 55 km/hrd. 65 km/hr

Page 59: SBI Quantitative Aptitute

Answer-c

15.A is 50% as efficient as B. C does half of the work done by A and B together. If C alone does

the work in 40 days, then A, B and C together can do the work in

Answer-a

16. A person covered some distance in 12 hours. He covered half the distance by rail @ 75 km

per hour and the rest by car @ 45 km/hr. The total distance covered by him wasa. 450 kmb.

675 kmc. 337.5 kmd. 1350 km

Answer-b

17. A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A's share, 4

times B's share and 7 times C's share are all equal. The share of C isa. Rs. 84b. Rs. 147c. Rs.

196d. Rs. 240

Answer-a

18. A and B entered into a partnership investing Rs. 12000 and Rs. 9000 respectively. After 3

months C also joined them with a capital of Rs. 15000. The share of C in the half yearly profit

of Rs. 9500 isa. Rs. 3500b. Rs. 3000c. Rs. 2500d. Rs. 4000

Answer-c

19.A can do a piece of work in 12 days and B can do it in 18 days. They started the work

together but A left 3 days before the completion of the work. The total number of days to

complete the work is

Answer-b

20.The ratio of income of A and B is 5:4 and their expenditure is as 3:2. If at the end of the

year, each saves Rs. 800, then the income of A is a. Rs. 1700b. Rs. 1800c. Rs. 2000d. Rs. 2200

Answer-c

21.A and B can together finish a work in 30 days. They worked at it for 10 days together and

Page 60: SBI Quantitative Aptitute

then B left. The remaining work was done by A alone in 30 more days. B alone can finish the

work in a. 48 daysb. 60 daysc. 75 daysd. 90 days

Answer-d

22.The ratio between the curved surface area and the total surface area of a right circular

cylinder is 1:2. If the total surface is 616 sq. cm, the volume of the cylinder isa. 1848 cm3b.

1232 cm3c. 1078 cm3d. 980 cm3

Answer-c

23.A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides are in

the ratio of 6 : 5. The smaller side of the rectangle isa. 30 cmb. 60 cmc. 72 cmd. 108 cm

Answer-b

24.A man walking at the rate of 6km per hour crosses a square field diagonally in 9 seconds.

The area of the field is-a. 125 sq. cmb. 112.5 sq. cmc. 110 sq. cmd. 100√2 sq. m

Answer-b

25.A rectangular carpet has an area of 240 sq. cm. If its diagonal and the longer side are

together equal to five times the shorter side, the length of the carpet is -a. 10 cmb. 24 cmc. 26

cmd. 27.5 cmAnswer-b26.The ratio of 435 : 25 is same asa. 4 : 1b. 2 :1c. 7 : 5d. 7 :10

Answer-a

27. A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to

that of the cube isa. √π : √6b. √π : √6c. √π : √3d. √6 : √π

Answer-d

28.The marked price of a table is Rs. 3000 and is available at successive discounts of 20% and

10% respectively. If there is an additional discount of 5% on cash payment, then what is the

cash price of the table?a. Rs. 2400b. Rs. 2160c. Rs. 2100d. Rs. 2052

Answer-d

Page 61: SBI Quantitative Aptitute

29.A trader marks his goods 25% above the C.P. but discounts 15% on the marked price. His gain

percent in the deal is-

Answer-b

30. A certain sum becomes Rs. 5290 in 2 years and Rs. 6083.50 in 3 years at C.I. The rate of

interest per annum is -a. 10%b. 12%c. 15%d. 16⅔ %

Answer-c

31.A person borrowed Rs. 500@ 3% per annum S.I and Rs. 600 @4½% per annum on the

agreement that the whole amount will be returned only when the total interest becomes Rs.

126. The number of years, after which the borrowed sum is to be returned, isa. 2b. 3c. 4d. 5

Answer-b

32.A sum of Rs. 12,000 doubles in 5 years at C.I. What will be the amount after 20 years?a. Rs.

1,20,000b. Rs. 1,92,000c. Rs. 1,24,000d. Rs. 96,000

Answer-b

33. A person sold 320 mangoes for the C.P. of 400 mangoes. His gain percent isa. 10%b. 15%c.

12½%d. 25%

Answer-d

34.On selling each of the rwo radios for Rs. 5000, a person neither gained nor lost. If he had

sold one radio at 25% gain, then at what percent loss did he sell the other radio?

Answer-a

35. A person bought some oranges @ Rs. 10 per dozen and bought the same amount of oranges

@ Rs. 8 per dozen. He sold these oranges @ Rs. 11 per dozen and gained Rs. 120. The total

number of oranges bought by him was -a. 30 dozenb. 40 dozenc. 50 dozend. 60 dozen

Answer-d

Page 62: SBI Quantitative Aptitute

36.On selling a certain commodity for Rs. 425, there is as much gain as loss on selling it for Rs.

355. The C.P. of the commodity isa. Rs. 370b. Rs. 385c. Rs. 390d. Rs. 400

Answer-c

37.A sum of Rs. 800 amounts to Rs. 920 in three years at S.I. If the rate of interest is increased

by 5% then the amount will increase toa. Rs. 950b. Rs. 980c. Rs. 1010d. Rs. 1040

Answer-d

38.Of the three numbers, second is twice the first and is also thrice the third. If the average of

the three numbers is 44, the largest number isa. 24b. 36c. 17d. 72

Answer-d

39.A house owner wants to get his house painted. He is told that this would require 25 kg of

paint. Allowing for 15% wastage and assuming that the paint is available in 2kg tins, the

number of tins required for painting the house is -a. 15b. 12c. 10d. 20

Answer-a

40.Price of food grains have risen by 10% and of other items of consumption by 15%. If the ratio

of an employee's expenditure on food grains and other items is 2:5, by how much should his

salary be increased so that he may maintain the same level of consumption as before, assuming

that his present salary is Rs. 3500?a. Rs. 300b. Rs. 350c. Rs. 375d. Rs. 475

Answer-d

PAPER : State Bank of India Clerical Cadre Recruitment Exam 2008 Solved Paper

SBI BANK CLERK MODEL QUESTIONS

NUMERICAL ABILITY

Page 63: SBI Quantitative Aptitute

1.Let R = qs—4. When s=8, R=16. When s=10, R is equal to

a. 11

b. 14

c. 20

d. 21

Answer-d

2.

Answer d

3. If 272/3 × 81-1/2 = 3x, the value of x is

a. -1

b. 0

c. 1

d. 2

Answer -b

4. 0.333 .... × 0.444 .... is equal to

a. 0.148148148 ....

b. 0.777 ....

c. 0.121212 ....

d. 1.333 ....

Answer-a

5.

Answer-d

6.

Page 64: SBI Quantitative Aptitute

Answer-c

7.

Answer-c

8.

Answer-c

9. On converting the following base-2 numeral in base ten, 1101101, we get

a. 96

b. 104

c. 108

d. 109

Answer-d

10. The number of prime factors of (6)10×(7)17×(55)27

a. 54

b. 64

c. 81

d. 91

Answer-d

11. A train crosses a pole in 15 seconds, while it crosses 100 meter long platform in 25

seconds. The length of the train is -

a. 125m

b. 135 m

c. 159 m

d. 175 m

Answer-c

12.Two taps A and B can fill a tank in 12 minutes and 15 minutes respectively. If both

the taps are opened simultaneously and the tap A is closed after 3 minutes, then how

much more time will it take to fill the tank by tap B?

a. 7 min & 15 sec

b. 7 min & 45 sec

c. 8 min & 5 sec

d. 8 min & 15 sec

Answer-d

13. The milk and water in two vessels A and B are in the ratio 4:3 and 2:3 respectively. In

what ratio, the liquids be mixed in both the vessels so that the new liquid contains half

milk and half water?

Page 65: SBI Quantitative Aptitute

a. 7:5

b. 1:2

c. 2:1

d. 6:5

Answer-a

14.A car covers a distance of 715 km at a constant speed. If the speed of the car would

have been 10 km/hr more, then it would have taken 2 hours less to cover the same

distance. What is the original speed of the car?

a. 45 km/hr

b. 50 km/hr

c. 55 km/hr

d. 65 km/hr

Answer-c

15.A is 50% as efficient as B. C does half of the work done by A and B together. If C

alone does the work in 40 days, then A, B and C together can do the work in

Answer-a

16. A person covered some distance in 12 hours. He covered half the distance by rail @

75 km per hour and the rest by car @ 45 km/hr. The total distance covered by him was

a. 450 km

b. 675 km

c. 337.5 km

d. 1350 km

Answer-b

17. A sum of Rs. 427 is to be divided among A, B and C in such a way that 3 times A's

share, 4 times B's share and 7 times C's share are all equal. The share of C is

a. Rs. 84

b. Rs. 147

c. Rs. 196

d. Rs. 240

Answer-a

18. A and B entered into a partnership investing Rs. 12000 and Rs. 9000 respectively.

After 3 months C also joined them with a capital of Rs. 15000. The share of C in the half

yearly profit of Rs. 9500 is

a. Rs. 3500

b. Rs. 3000

c. Rs. 2500

d. Rs. 4000

Answer-c

19.A can do a piece of work in 12 days and B can do it in 18 days. They started the work

together but A left 3 days before the completion of the work. The total number of days to

complete the work is

Answer-b

Page 66: SBI Quantitative Aptitute

20.The ratio of income of A and B is 5:4 and their expenditure is as 3:2. If at the end of

the year, each saves Rs. 800, then the income of A is

a. Rs. 1700

b. Rs. 1800

c. Rs. 2000

d. Rs. 2200

Answer-c

21.A and B can together finish a work in 30 days. They worked at it for 10 days together

and then B left. The remaining work was done by A alone in 30 more days. B alone can

finish the work in

a. 48 days

b. 60 days

c. 75 days

d. 90 days

Answer-d

22.The ratio between the curved surface area and the total surface area of a right circular

cylinder is 1:2. If the total surface is 616 sq. cm, the volume of the cylinder is

a. 1848 cm3

b. 1232 cm3

c. 1078 cm3

d. 980 cm3

Answer-c

23.A circular wire of radius 42 cm is cut and bent in the form of a rectangle whose sides

are in the ratio of 6 : 5. The smaller side of the rectangle is

a. 30 cm

b. 60 cm

c. 72 cm

d. 108 cm

Answer-b

24.A man walking at the rate of 6km per hour crosses a square field diagonally in 9

seconds. The area of the field is-

a. 125 sq. cm

b. 112.5 sq. cm

c. 110 sq. cm

d. 100√2 sq. m

Answer-b

25.A rectangular carpet has an area of 240 sq. cm. If its diagonal and the longer side are

together equal to five times the shorter side, the length of the carpet is -

a. 10 cm

b. 24 cm

c. 26 cm

d. 27.5 cm

Answer-b

26.The ratio of 435 : 25 is same as

a. 4 : 1

Page 67: SBI Quantitative Aptitute

b. 2 :1

c. 7 : 5

d. 7 :10

Answer-a

27. A sphere and a cube have equal surface areas. The ratio of the volume of the sphere to

that of the cube is

a. √π : √6

b. √π : √6

c. √π : √3

d. √6 : √π Answer-d

28.The marked price of a table is Rs. 3000 and is available at successive discounts of

20% and 10% respectively. If there is an additional discount of 5% on cash payment, then

what is the cash price of the table?

a. Rs. 2400

b. Rs. 2160

c. Rs. 2100

d. Rs. 2052

Answer-d

29.A trader marks his goods 25% above the C.P. but discounts 15% on the marked price.

His gain percent in the deal is-

Answer-b

30. A certain sum becomes Rs. 5290 in 2 years and Rs. 6083.50 in 3 years at C.I. The rate

of interest per annum is -

a. 10%

b. 12%

c. 15%

d. 16⅔ %

Answer-c

31.A person borrowed Rs. 500@ 3% per annum S.I and Rs. 600 @4½% per annum on

the agreement that the whole amount will be returned only when the total interest

becomes Rs. 126. The number of years, after which the borrowed sum is to be returned, is

a. 2

b. 3

c. 4

d. 5

Answer-b

32.A sum of Rs. 12,000 doubles in 5 years at C.I. What will be the amount after 20

years?

a. Rs. 1,20,000

b. Rs. 1,92,000

c. Rs. 1,24,000

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d. Rs. 96,000

Answer-b

33. A person sold 320 mangoes for the C.P. of 400 mangoes. His gain percent is

a. 10%

b. 15%

c. 12½%

d. 25%

Answer-d

34.On selling each of the rwo radios for Rs. 5000, a person neither gained nor lost. If he

had sold one radio at 25% gain, then at what percent loss did he sell the other radio?

Answer-a

35. A person bought some oranges @ Rs. 10 per dozen and bought the same amount of

oranges @ Rs. 8 per dozen. He sold these oranges @ Rs. 11 per dozen and gained Rs.

120. The total number of oranges bought by him was -

a. 30 dozen

b. 40 dozen

c. 50 dozen

d. 60 dozen

Answer-d

36.On selling a certain commodity for Rs. 425, there is as much gain as loss on selling it

for Rs. 355. The C.P. of the commodity is

a. Rs. 370

b. Rs. 385

c. Rs. 390

d. Rs. 400

Answer-c

37.A sum of Rs. 800 amounts to Rs. 920 in three years at S.I. If the rate of interest is

increased by 5% then the amount will increase to

a. Rs. 950

b. Rs. 980

c. Rs. 1010

d. Rs. 1040

Answer-d

38.Of the three numbers, second is twice the first and is also thrice the third. If the

average of the three numbers is 44, the largest number is

a. 24

b. 36

c. 17

d. 72

Answer-d

39.A house owner wants to get his house painted. He is told that this would require 25 kg

of paint. Allowing for 15% wastage and assuming that the paint is available in 2kg tins,

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the number of tins required for painting the house is -

a. 15

b. 12

c. 10

d. 20

Answer-a

40.Price of food grains have risen by 10% and of other items of consumption by 15%. If

the ratio of an employee's expenditure on food grains and other items is 2:5, by how

much should his salary be increased so that he may maintain the same level of

consumption as before, assuming that his present salary is Rs. 3500?

a. Rs. 300

b. Rs. 350

c. Rs. 375

d. Rs. 475

Answer-d

SBI BANK CLERK NUMERICAL ABILITY 1. A clock shows the time as 6 a.m. If the minute hand gains 2 minutes every hour, how

many minutes will the clock gain by 9 p.m.?

(a) 30 minutes

(b) 25 minutes

(c) 28 minutes

(d) 34 minutes

2. Find the right number, from the given options, at the place marked by the question

mark: 2, 4, 8, 32, 256, ?

(a) 4096

(b) 8192

(c) 512

(d) 1024

3. Find the number missing at question mark:

10, 11, 23, 39, 64, ?, 149

(a) 100

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(b) 103

(c) 78

(d) 128

4. A super fast bus of KSRTC starting from 'Trivandrum' and reaches 'Attingal' in 45

minutes with an average speed of 40 km/hr. If the speed is increased by 10 km/hr how

much time it will take to cover the same distance?

(a) 34 minutes (b) 36 minutes (c) 38 minutes (d) 40 minutes

5. The difference between 6 times and 8 times of a figure is 14. What is the figure?

(a) 12 (b) 9 (c) 7 (d) 6

6. If 92y = 36 what is 9y?

(a) 4 (b) 6 (c) 9 (d) 18

7. One fourth percent of 180 is:

(a) 4.5 (b) 0.45 (c) 0.045 (d) 45

8. A candidate appearing for an examination has to secure 40% marks to pass paper I. But

he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper

I?

(a) 100 (b) 200 (c) 180 (d) 150

9. Find the missing number 32, 52, 74, 112, 135 ...............

(a) 16 (b) 15 (c) 17 (d) 14

10. If 250 is increased to 300, what is the percentage increase?

(a) 16.67 (b) 20 (c) 23 (d) 17

11. The ratio of 9 seconds to 10 hours is .............

(a) 1:40 (b) 1:4000 (c) 9:10 (d) 1:400

12. A person lost 10% when he sold goods at Rs.153. For how much should he sell them

to gain 20%?

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(a) 204 (b) 250 (c) 240 (d) 210

13. What will be xy if 7862xy is to be divisible by 125?

(a) 25 (b) 00 (c) 75 (d) 50

14. A train of 100 meters long is running at the speed of 36 km per hour. In what time it

passes a bridge of 80 meters long?

(a) 30 seconds (b) 36 seconds (c) 20 seconds (d) 18 seconds

15. If two-third of a bucket is filled in one minute then the time taken to fill the bucket

completely will be .......

(a) 90 seconds (b) 70 seconds (c) 60 seconds (d) 100 seconds

16. If a quarter kilogram costs Rs. 60 then how much will cost for 150 grams?

(a) Rs. 30 (b) Rs. 24 (c) Rs. 36 (d) Rs. 40

17. If 3 men or 6 boys can do a piece of work in 20 days then how many days with 6 men

and 8 boys take to do the same work?

(a) 5 (b) 8 (c) 10 (d) 6

18. Find the sum of first 100 natural numbers

(a) 5050 (b) 5005 (c) 9900 (d) 9050

19. Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance

between their feet is 12 meters then find the difference in the distance between their tops:

(a) 12m (b) 5m (c) 13m (d) 11m

20. How many balls of radius 4 cm can be made from a solid sphere of lead of radius 8

cm?

(a) 4 (b) 8 (c) 16 (d) 2

21. The solution to x2 +6x+9 = 0 is ........

(a) x1 = + 3, x2 = -3 (b) x1 = 3, x2 = 3

(c) x1 = -3, x2 = -3 (d) No solution

22. What is the chance of getting a 2 or 4 in rolling a die?

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(a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2

23. At what rate of simple interest per annum an amount will be doubled in 10 years?

(a) 10% (b) 7.5% (c) 16% (d) 15%

24. Five times an unknown number is 5 less than 50. The unknown number

(a) 10 (b) 11 (c) 9 (d) 5

25. The acute angle between the hour hand and minute hand of a clock at 4 PM

(a) 900 (b) 1200 (c) 1500 (d) 2400

26. Water is filled in a cylindrical vessel in such a way that its volume doubles after every

five minutes. If it takes 30 minutes for the vessel to be full, then the vessel will be one

fourth full in

(a) 20 minute (b) 25 minutes

(c) 7 minutes 30 seconds (d) 10 minutes

27. If 10 cats can kill 10 rats in 10 minutes how long will it take 100 cats to kill 100 rats

(a) 1 minutes (b) 10 minute (c) 100 minutes (d) 10000 minutes

28. If 75 % of a number is added to 75, the result is the number itself, then the number is:

(a) 250 (b) 750 (c) 400 (d) 300

29. A school has enough food for 400 children for 12 days. How long will the food last if

80 more children join them?

(a) 6 days (b) 7 days (c) 10 days (d) 8 days

30. The sum of two consecutive numbers is 55, which is the largest number?

(a) 25 (b) 28 (c) 26 (d) 27

31. When a shop keeper sold 2/3 of an item, he got the cost price of the whole lot. What

is the percentage of his profit?

(a) 33 1/8 % (b) 66 2/3 % (c) 25 % (d) 50 %

32. The perimeter of a rectangular field is 480 meters and the ratio between the length

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and breadth is 5:3. The area of the field is:

(a) 7,200m2 (b) 15,000m2 (c) 54,000m2 (d) 13,500m2

33. If you add 100 to a certain number, the result will be more than, if you multiply that

number by 1000 what is that number?

(a) 1.5 (b) 1.0 (c) 2.5 (d) 2.0

34. A student has to secure 40 % marks to pass. He gets 150 marks and fails by 30 marks.

What is the maximum marks?

(a) 400 (b) 500 (c) 475 (d) 450

35. The circumcentre of an obtuse triangle will always be in the

(a) Interior of the triangle

(b) Midpoint of the diameter

(c) Exterior of the triangle

(d) Midpoint of the side of the triangle

36. What is the degree measure of a semicircle?

(a) 360 (b) 90 (c) 270 (d) 180

37. Which among the following is the point of intersection of the medians of a triangle?

(a) Circumcentre (b) Centroid (c) Orthocenter (d) Incentre

38. The height of a cone and its base diameter are equal. If the base radius is 'r' what is its

slant height?

(a) 3r (b) 4r (c) √5r (d) √3r

39. The radii of two spheres are in the ratio 2:3. What is the ratio of their surface areas?

(a) 4:9 (b) 2:3 (c) 8:27 (d) 4:6

40. What is the common ratio of the progression 3√2, 6, 6√2 ?

(a) 3 (b) 2 (c) √2 (d) √3

41. In class of 100 students 50 students passed in Mathematics and 70 passed in English,

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5 students failed in both Mathematics and English. How many students passed in both the

subjects?

(a) 25 (b) 30 (c) 50 (d) 45

42. Speed of a boat in still water is 9 km/hr. It goes 12 km down stream and comes back

to the starting point in three hours.What is the speed of water in the stream?

(a) 3 km/hr (b) 4 km/hr (c) 4.5 km/hr (d) 5 km/hr

43. A student was asked to add 16 and subtract 10 from a number.He by mistake added

10 and subtracted 16. If his answer is 14 what is the correct answer?

(a) 20 (b) 26 (c) 30 (d) 32

44. Find the area of a right angled triangle whose hypotenuse is 10 cm and base 8 cm.

(a) 48 sq.cm (b) 34 sq.cm (c) 24 sq.cm (d) 42 sq.cm

45. Find the next term of the series: 3, 6, 9, 18, 27, 54, ......

(a) 81 (b) 69 (c) 63 (d) 57

46. A number consists of 20 plus 20% of its value. The number is:

(a) 20 (b) 22 (c) 25 (d) 30

47. 20% of 5 + 5% of 20 =

(a) 5 (b) 2 (c) 6 (d) 21

48. The angle between the minute hand and the hour hand of a clock, when the time is

8.30

(a) 800 (b) 600 (c) 1050 (d) 750

49. Rs. 1581 is divided among A, B and C in the ratio 10 : 15 : 6. What is the share of B?

(a) 306 (b) 765 (c) 700 (d) 510

50. The sum of four consecutive counting numbers is 154. Find the smallest number:

(a) 36 (b) 37 (c) 38 (d) 31

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Answers

1 A 11 B 21 C 31 D 41 A

2 B 12 A 22 B 32 D 42 A

3 A 13 D 23 A 33 B 43 B

4 B 14 D 24 C 34 D 44 C

5 C 15 A 25 B 35 C 45 A

6 B 16 C 26 A 36 D 46 C

7 C 17 D 27 B 37 B 47 B

8 D 18 A 28 D 38 C 48 D

9 C 19 C 29 C 39 C 49 B

10 B 20 B 30 B 40 C 50 B