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

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

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

e. 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

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 natural 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 by 9 is :

a. 2

b. 3

c. 4

d. 5

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 112 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 the 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 is 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 46 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 largest such no. is :

a. 9947

b. 9987

c. 9989

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 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

(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%?

(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

(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

(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, 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


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

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
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
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?
(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)
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
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
(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)

--
with warm regards

Harish Sati
Indira Gandhi National Open University (IGNOU)
Maidan Garhi, New Delhi-110068

(M) + 91 - 9990646343 | (E-mail) Harish.sati@gmail.com


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