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
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 :
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
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
BI - Clerk Recruitment Exam 2009
Quantitative Aptitude
Directions—(Q. 1–6) What should come in place of the question mark (?) in the following questions ? 1. 196 × 948 ÷ 158 = ? (A) 1156 (B) 1200 (C) 1188 (D) 1176
(E) None of these Ans : (D) 2. (786 × 64) ÷ 48 = ? (A) 1050 (B) 1024 (C) 1048 (D) 1036
(E) None of these Ans : (C)
3. 3·5 + 11·25 × 4·5 – 32·5 = ? (A) 18·275
(B) 21·625 (C) 32·375 (D) 25·45
(E) None of these Ans : (B) 4. (2640 ÷ 48) × (2240 ÷ 35) = ? (A) 3520 (B) 3515 (C) 3495 (D) 3490
(E) None of these Ans : (A) 5. 7414 + 3698 + 1257 + 1869 = ? (A) 14328 (B) 14438 (C) 13428 (D) 13248
(E) None of these Ans : (E) 6. (98360 + 25845 – 36540) ÷ 2500 = ? (A) 36·585 (B) 30·082 (C) 32·085 (D) 35·066 (E) None of these Ans : (D)
Directions—(Q. 7–11) What should come in place of the question mark (?) in the following number series ?
7. 1, 9, 25, 49, ?, 169 (A) 100
(B) 64 (C) 81 (D) 121
(E) None of these Ans : (D) 8. 3, 23, 43, ?, 83, 103 (A) 33 (B) 53 (C) 63 (D) 73
(E) None of these Ans : (C) 9. 748, 737, 715, 682, 638, ? (A) 594 (B) 572 (C) 581 (D) 563
(E) None of these Ans : (E) 10. 121, 117, 108, 92, 67, ? (A) 31 (B) 29 (C) 41 (D) 37
(E) None of these Ans : (A) 11. 50, 26, 14, ?, 5, 3·5 (A) 6 (B) 8 (C) 10 (D) 12
(E) None of these Ans : (B)
12. The ratio of ducks and frogs in a pond is 37 : 39 respectively. The average number of ducks and frogs in the pond is 152. What is the number of frogs in the pond ?
(A) 148 (B) 152 (C) 156 (D) 144
(E) None of these Ans : (C)
13. The number of employees in Companies A, B and C are in a rtio of 4 : 5 : 6 respectively. If the number of employees in the three Companies is increased by 25%, 30% and 50% respectively, what will be the new ratio of employees working in Companies A, B and C respectively ?
(A) 13 : 10 : 18 (B) 10 : 13 : 17 (C) 13 : 15 : 18
(D) Cannot be determined (E) None of these
Ans : (E)
14. The average of five positive numbers is 213. The average of the first two numbers is 233·5 and the average of last two numbers is 271. What is the third number ?
(A) 64 (B) 56 (C) 106
(D) Cannot be determined (E) None of these
Ans : (B)
15. Sonali invests 15% of her monthly salary in insurance policies. She spends 55% of her monthly salary in shopping and on household expenses. She saves the remaining amount of Rs. 12,750. What is Sonali’s monthly income ?
(A) Rs. 42,500 (B) Rs. 38,800 (C) Rs. 40,000 (D) Rs. 35,500 (E) None of these
Ans : (A)
16. In how many different ways can the letters of the word ‘ARISE’ be arranged ? (A) 90
(B) 60 (C) 180 (D) 120
(E) None of these Ans : (D)
17. What approximate amount of compound interest can be obtaied on an amount of Rs. 9650 at the rate of 6 p.c.p.a. at the end of 3 years ?
(A) Rs. 1737 (B) Rs. 1920 (C) Rs. 1720 (D) Rs. 1860 (E) Rs. 1843 Ans : (E)
18. A milkman sells 120 litres of milk for Rs. 3360 and he sells 240 litres of milk for Rs. 6120. How much concession does the trader give per litre of milk, when he sells 240 litres of milk ?
(A) Rs. 2 (B) Rs. 3·5 (C) Rs. 2·5 (D) Rs. 1·5 (E) None of these Ans : (C)
19. When 3626 is divided by the square of a number and the answer so obtained is multiplied by 32, the final answer obtained is 2368. What is the number ? (A) 7
(B) 36 (C) 49 (D) 6
(E) None of these Ans : (A)
20. The sum of the two digits of a two digit number is 14. The difference between the first digit and the second digit of the two digit number is 2. What is the
product of the two digits of the two digit number ? (A) 56
(B) 48 (C) 45
(D) Cannot be determined (E) None of these
Ans : (B)
21. A car runs at the speed of 50 kms per hour when not serviced and runs at 60 kms/hr. when serviced. After servicing the car covers a certain distance in 6 hours. How much time will the car take to cover the same distance when not serviced ?
(A) 8·2 hours (B) 6·5 hours (C) 8 hours (D) 7·2 hours (E) None of these
Ans : (D)
Directions—(Q. 22–24) What approximate value should come in place of the question mark (?) in the following questions ?
(You are not expected to calculate the exact value.) 22. (4863 + 1174 + 2829) ÷ 756 = ? (A) 18 (B) 16 (C) 12 (D) 9 (E) 22 Ans : (C) 23. 37·35 + 13·064 × 3·46 = ? (A) 89 (B) 83 (C) 76 (D) 79 (E) 85 Ans : (B) 24. 54 × 746 ÷ 32 = ? (A) 1259 (B) 1268 (C) 1196 (D) 1248 (E) 1236 Ans : (A)
SBI Bank Clerk Numerical Ability Exam Paper With Answers 2007
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 is fi lled in . If two-third of a bucket 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
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) 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.
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 2 B 3 A 4 B 5 C 6 B 7 C 8 D 9 C 10 B 11 B 12 A 13 D 14 D 15 A 16 C 17 D 18 A 19 C 20 B 21 C 22 B 23 A 24 C 25 B 26 A 27 B 28 D 29 C 30 B 31 D 32 D 33 B 34 D 35 C 36 D 37 B 38 C 39 C 41 A 42 A 43 B 44 C 45 A 46 C 47 B 48 D 49 B 50 B
Sample Practice Paper SBI Bank (2009)
1. The sum of two consecutive numbers is 55, which is the largest number?
(a) 25 (b) 28 (c) 26 (d) 27
Answer : (b) 28
2. 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
Answer : (c) 8:27
3. 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
Answer : (b) 1/6
4. What is the common ratio of the progression 3√2, 6, 6√2 ?
(a) 3 (b) 2 (c) √2 (d) √3
Answer : (c) √2
5. Five times an unknown number is 5 less than 50. The unknown number .
(a) 10 (b) 11 (c) 9 (d) 5
Answer : (c) 9
6. 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
Answer : (a) 20 minutes
7. 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%
Answer : (a) 10%
8. 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
Answer : (b) 10 minutes
9. The acute angle between the hour hand and minute hand of a clock at 4 PM.
(a) 900 (b) 1200 (c) 1500 (d) 2400
Answer : (b) 1200
10. 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 %
Answer : (d) 50%
11. 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
Answer : (b) 1.0
12. If 75 % of a number is added to 75, the result is the number itself, then thenumber is:
(a) 250 (b) 750 (c) 400 (d) 300
Answer : (d) 300
13. 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
Answer : (d) 450
14. 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
Answer : (c) 10 days
15. 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
