QUANTITATIVE TEST : BANK PO/MBA/BANK CLERK

QUANTITATIVE TEST : BANK PO/MBA/BANK CLERK

1. A trader sells his goods at a discount of 20 per cent. He still makes a profit of 25 per cent. If he sells the goods at the marked price only, his profit will be
(a) 56.25 per cent
(b) 25.56 per cent
(c) 50.25 per cent
(d) 54.25 per cent

2. The total surface area of a metallic hemisphere is 1848 cm2 . The hemisphere is melted to form a solid right circular cone. If the radius of the base of the cone is the same as the radius of the hemisphere, its height is
(a) 21 cm.
(b) 26 cm.
(c) 28 cm.
(d) 30 cm.

3. A circle is inscribed in an equilateral triangle of side 8 cm. The area of the portion between the triangle and the circle is
(a) 11 sq. cm.
(b) 10.95 sq. cm.
(c) 10 sq. cm
(d) 10.50 sq. cm

4. A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their respective volumes is
(a) 1:2:3
(b) 2:1:3
(c) 1:3:2
(d) 3:1:2

5. The difference between a discount of 40 per cent on Rs. 500 and two successive discounts of 36 per cent and 4 per cent on the same amount is
(a) zero
(b) Rs. 1.93
(c) Rs. 2.00
(d) Rs. 7.20

6. If a discount of 20 per cent on the marked price of a shirt saves a man Rs. 150, how much did he pay for the shirt?
(a) Rs. 600
(b) Rs. 650
(c) Rs. 500
(d) Rs. 620

7. In a cricket match the total number of runs scored by Sachin, Vinod and Saurav is 285. The ratio of the number of runs scored by Sachin and Saurav is 3:2 and that of the runs scored by Sourav and Vinod is also 3:2. The number of runs scored by Sachin in that match is
(a) 135
(b) 90
(c) 60
(d) 140

8. If A:B = 2:3 and B:C = 4:5, then A:B:C is
(a) 2:3:5
(b) 5:4:6
(c) 6:4:5
(d) 8:12:15

9. If two times of A is equal to three times of B and also equal to four times of C, then A:B:C is
(a) 2:3:4
(b) 3:4:2
(c) 4:6:3
(d) 6:4:3

10. In a bag, there are three types of coins- rupee, 50-paise and 25-paise in the ratio 3:8:20. Their total value is Rs. 372. The total number of coins is
(a) 1200
(b) 961
(c) 744
(d) 612

11. 5 years ago, the average age of A,B,C and D was 45 years. With E joining them now, the average of all the five is 49 years. How old is E?
(a) 25 years
(b) 40 years
(c) 45 years
(d) 64 years.

12. 200 liters of a mixture contains milk and water in the ratio 17:3. After the addition of
some more milk to it, the ratio of milk of water in the resulting mixture becomes 7:1. The quantity of milk added it was
(a) 20 liters.
(b) 40 liters.
(c) 60 liters.
(d) 80 liters.

13. Two trains A and B are running at the speeds of 45 KMPH and 25 KMPH respectively in the same direction. The faster train i.e. train A crosses a Man sitting in the slower train B in 18 secs. Find the length of the train A?
(A) 100 metres
(B) 120 metres
(C) 150 meters
(D) 180 meters
Ans (A)

14. The least number, which is a perfect square and is divisible by each of the numbers 16,20 and 24, is
(a) 1600
(b) 3600
(c) 6400
(d) 14400

15. The L.C.M. of the two numbers is 45 times their H.C.F. If one of the numbers is 125 and the sum of H.C.F. and L.C.M. is 1150, the other number is
(a) 215
(b) 220
(c) 225
(d) 235

16.The sum of two 2-digit numbers is 132. If their H.C.F. is 11, the numbers are -
(a) 55, 77
(b) 44, 88
(c) 33, 99
(d) 22,110

17. The average of 30 numbers is 15. The average of the first 18 numbers is 10 and that of next 11 numbers is 20. The last number is
(a) 56
(b) 52
(c) 60
(d) 50

18. If (a-b) is 6 more than (c+d) and (a+b) 3 is less than (c-d), then (a-c) is
(a) 0.5
(b) 1
(c) 1.5
(d) 2.5

19. In a test, a student got 30 per cent marks and failed. In the same test, another student got 40 per cent marks and secured 25 marks more than the essential minimum pass mark. The maximum marks for the test were
(a) 400
(b) 480
(c) 500
(d) 580

20. 200 liters of a mixture contains 15 per cent water and the rest is milk. The amount of milk that must be added so that the resulting mixture contains 87.5 per cent milk is
(a) 30 liters.
(b) 35 liters.
(c) 40 liters.
(d) 45 liters.

21. A man sold two chairs at Rs. 1,200 each. On one hand he gained 20 per cent and on other he lost 20 per cent. His gain or loss in the whole transaction is
(a) 1 per cent loss.
(b) 2 per cent loss.
(c) 4 per cent loss.
(d) 1 per cent gain.

22. If the angles of a triangle are in the ratio 1:2:7 then the triangle is ______
(A) acute angled
(B) obtuse angled
(C) right angled
(D) isosceles
Ans (D)

23. Two sides of a triangle are 8cm and 11cm then the possible third side is____
(A) 1 cm
(B) 2 cm
(C) 3 cm
(D) 4 cm
Ans (D)

24. If the circumference of a circle is increased by 50 per cent, then the area will be increased by -
(a) 50 per cent
(b) 75 per cent
(c) 100 per cent
(d) 125 per cent

25. A , B and C enter into a partnership. A contributes Rs. 3,20,000 for 4 months, B contributes Rs. 5,10,000 for 3 months and C contributes Rs. 2,70,000 for 5 months. If the total profit be Rs. 1,24,800, then A’s share of profit is
(a) Rs. 38,400
(b) Rs. 45,900
(c) Rs. 40,500
(d) Rs. 41,500

Answers

1. (c) 2. (b) 3. (a) 4. (d) 5. (a) 6. (a) 7. (d) 8. (d) 9. (b)
10. (c) 11. (b) 12. (c) 13. (d) 14. (c) 15. (c) 16. (c) 17. (a)
18. (a) 19. (c) 20. (c) 21. (c) 22. (b) 23. (d) 24. (a) 25. (d)

Mathematical Aptitude for Various exams

Mathematical Aptitude for Various exams :

Bank PO, RRB TC, RRB ASM,Bank Clerk,MBA

1. Two numbers are respectively 25% and 20% less than a third number. What percent is the first number of the second.
(A) 5.85%
(B) 75.85%
(C) 80.60%
(D) 93.75%
Ans (D)
2. A pump can fill a tank with water in two hours. Because of a leak in the tank it was taking two 1/3 hours to fill the tank. The leak can drain all the water off the tank in.
(A) 8 hours
(B) 7 hours
(C) 13/3 hours
(D) 14 hours
Ans (D)
3. A can do a peace of work in 4 hours. B and C can do it in 3 hours. A and C can do it in two hours. How long will B take to do it?
(A) 10 hours
(B) 12 hours
(C) 8 hours
(D) 24 hours
Ans (B)
4. The difference between the simple and compound interest on a certain sum of money at 5% rate of interest p.a. for two years is Rs.15. Then the sum is _____
(A) Rs.6500
(B) Rs.5500
(C) Rs.6000
(D) Rs.7000
Ans (C)
5. A sum borrowed under compound interest doubles itself in 10 years. When will it become four fold of itself at the same rate of interest?
(A) 15 years
(B) 20 years
(C) 24 years
(D) 40 years
()Ans (B)
6. The students in three classes are in the ratio of 2:3:5 if 40 students are increased in each class the ratio changes to 4:5:7 if 40 students are increased in each class the ratio changes to 4:5:7 originally the total number of students was _______
(A) 100
(B) 180
(C) 200
(D) 400
Ans (C)
7. The ratio of incomes of two persons is 5:3 and that of their expenditure is 9.5. Find the income of each person if they save Rs.1300 and Rs.900 respectively.
(A) Rs.4000, Rs.2400
(B) Rs.3000, Rs.1800
(C) Rs.5000, Rs.3000
(D) Rs.4500, Rs.2700
Ans (A)
8. A fort has provision for 50 days if after 10 days they are strengthen by 500 men and the remaining food lasts 35 days. How many men were there in the fort initially?
(A) 3500
(B) 3000
(C) 2500
(D) 4000
Ans (A)
9. A number is increased by 20% and then it is decreased by 10%. Find the net increase or decrease in %
(A) 10% increase
(B) 10% decrease
(C) 8%increase
(D) 8% decrease
Ans (C)
10. The product of two positive numbers is 2500 if one number is 4 times the other, the sum of the two numbers is ______
(A) 25
(B) 125
(C) 225
(D) 250
Ans (B)
11. Which of the following is the largest number which is exactly devisable by 7,9 and 15?
(A) 9450
(B) 9765
(C) 9865
(D) 9550
Ans (B)
12. What percent of 5/8 is 8/5?
(A) 100
(B) 64
(C) 256
(D) 1024
Ans (C)
13. 2.3 + 6.5 - 7.1 + 4.9 -1.4 + 8.6 - 5.3?
(A) 8.5
(B) 8.6
(C) 8.7
(D) 8.4
Ans (A)
14. Example of a mathematical statement is ______
(A) (10+8)-9
(B) 2x+3=5
(C) 5<9+3
(D) x+3
Ans (C)
15. If 4x = 10 then X=?
(A) 10-4
(B) 10 X 4
(C) 10 +4
(D) 10/4
Ans (D)
16. a and b are two numbers. The property of a = b then b=a is called _______
(A) Reflexive property
(B) Transitive property
(C) Symmetric property
(D) Associative property
Ans (C)
17. "10 added to 5 times x is equal to 20" in symbolic form is _______
(A) 5(x+10)=20
(B) 5x+10=20
(C) x/5+10=20
(D) 5x-10=20
Ans (B)
18. The point equidistant from the vertices of a triangle is its_____
(A) Orthocentre
(B) Centroid
(C) circumcentre
(D) Incentre
Ans (C)
19. The centroid of a triangle is the point of concurrence of its
(A) angle bisectors
(B) perpendicular bisector
(C) altitudes
(D) medians
Ans (D)
20. If the angles of a triangle are in the ratio 1:2:7 then the triangle is ______
(A) acute angled
(B) obtuse angled
(C) right angled
(D) isosceles
Ans (D)
21. Two sides of a triangle are 8cm and 11cm then the possible third side is____
(A) 1 cm
(B) 2 cm
(C) 3 cm
(D) 4 cm
Ans (D)
22. A triangle always has exactly
(A) one acute angle
(B) at least two acute angles
(C) exactly one right angle
(D) exactly two acute angles
Ans (B)
23. Two trains A and B are running at the speeds of 45 KMPH and 25 KMPH respectively in the same direction. The faster train i.e. train A crosses a Man sitting in the slower train B in 18 secs. Find the length of the train A?
(A) 100 metres
(B) 120 metres
(C) 150 meters
(D) 180 meters
Ans (A)
24. A circular road runs round a circular ground. If the difference between the circumference of the outer circle and inner circle is 44 meters, find the width of road.
(A) 8 meters
(B) 7 meters
(C) 17 meters
(D) 9 meters
Ans (B)
25. A and B started a business in partnership. A invested Rs.2000/- for six months and B invested Rs.1500 for 8 months. What is the share of A in total profit of Rs.510?
(A) Rs.250
(B) Rs.255
(C) Rs.275
(D) Rs.280
Ans (B)

BANK PO NUMERICAL ABILITY

NUMERICAL ABILITY : BANK PO

Directions—(Q. 1 to 2) What should come in place of the question mark (?) in the following questions ?

1. 73% of 8523 + 32% of 6245 = ?

(A) 8042·21 (B) 8136·28

(C) 8625·35 (D) 8220·19

(E) None of these

2. 8226 ÷ 15 ÷ 5 = ?

(A) 2156 (B) 109·68

(C) 185·56 (D) 2742

(E) None of these

3. 1 9 48 260 1590 ?

(A) 11130 (B) 11172

(C) 11135 (D) 11137

(E) None of these

4. 4 10 33 136 685 ?

(A) 3430 (B) 4110

(C) 4116 (D) 3435

(E) None of these

5. 25 27 30 34 39 ?

(A) 45 (B) 44

(C) 47 (D) 43

(E) None of these

Directions—(Q. 6 to 10) What approximate value should come in place of the question mark (?) in the following questions ?

(You are not expected to calculate the exact value.)

6. 182·225 ´ 21·652 ´ 33·584 = ?

(A) 132507 (B) 149428

(C) 120426 (D) 106438

(E) 112642

7. 63·5% of 8924·2 + ?% of 5324·4 = 6827·5862

(A) 36 (B) 22

(C) 17 (D) 31

(E) 9

8. 11/7 + 22/3 + 18/5 = ?

(A) 21 (B) 8

(C) 25 (D) 13

(E) 30

9. (9%of86) X (6.5%of144) =?
A) 340.1664
B) .325.1664
C) 3.333.3333
D) 4.328.0065
E).None of these

10. 9546324 ÷ 4584 = ?

(A) 2149 (B) 1986

(C) 2083 (D) 2247

(E) 1805

Directions—(Q. 11 to 15) Study the information carefully and answer the questions that follow—

A school has a total of 1200 students. The ratio of girls to boys in the school is 3 : 2. All the students have enrolled in hobby classes viz. Singing, Dancing, Martial Arts and Cooking. One-twelfth of the boys have enrolled in only cooking classes. 25 per cent of the girls have enrolled in Cooking and Singing classes to-gether. Number of boys enrolled in only Martial Arts classes is 150 per cent of the number of girls enrolled in the same. Number of students enrol-led in only Dancing is 26 per cent of the total number of students. 5 per cent of the girls have enrolled in only Martial Arts classes. One-third of the boys enrolled in only Dancing classes. 35 per cent of the girls enrolled in Singing, Dancing and Martial Arts together and the remaining enrolled in only Cooking. 15 percent of the boys enrolled in Cooking and Singing classes together and the remaining enrolled in Singing, Dancing and Martial Arts classes together.

11. Number of boys enrolled in Cooking and Singing classes together is what per cent of the girls enrolled in the same ?

(A) 48 (B) 36

(C) 20 (D) 25

(E) None of these

12. What is the total number of students learning Martial Arts ?

(A) 90 (B) 496

(C) 342 (D) 128

(E) None of these

13. How many girls are enrolled in only Cooking classes ?

(A) 280 (B) 252

(C) 154 (D) 100

(E) None of these

14. How many boys learn Singing ?

(A) 226 (B) 184

(C) 72 (D) 96

(E) None of these

15. What is the respective ratio of girls to boys enrolled in only Dancing classes ?

(A) 8 : 7 (B) 14 : 17

(C) 19 : 20 (D) 12 : 7

(E) None of these

16. 4 men, 5 women and 3 children together can complete a piece of work in 16 days. In how many days can 10 women alone com-plete the piece of work if 10 men alone complete the work in 24 days ?

(A) 18

(B) 15

(C) 12

(D) Cannot be determined

(E) None of these

17. What will be the difference bet-ween the simple interest and compound interest earned on a sum of Rs. 985 @ 14 p.c.p.a. at the end of two years ?

(A) Rs. 16·408

(B) Rs. 14·214

(C) Rs. 19·218

(D) Rs. 17·405

(E) None of these

Directions—(Q. 18 and 19) Study the information carefully to answer the questions that follow—

A basket contains 3 blue, 2 green and 5 red balls.

18. If three balls are picked at random, what is the probability that at least one is red ?

(A) 1/2 (B) 7/12

(C) 11/12 (D) 1/5

(E) None of these

19. If four balls are picked at random, what is the probability that two are green and two are blue ?

(A) 1/8 (B) 1/70

(C) 3/5 (D) 1/2

(E) None of these

20. In how many different ways can the letters of the word ‘FLEECED’ be

arranged ?

(A) 840 (B) 2520

(C) 1680 (D) 49

(E) None of these

ANSWERS :

1. (d 2. (b) 3. (B) 4. (C) 5. (A) 6. (a)

7. (b) 8. (d) 9. (B) 10. (c) 11. (e)

12. (a) Total no. of students learning Martial Arts

= 36 + 54 = 90

13. (e) No. of girls enrolled in only Cooking classes = 468

14. (A) 15. (c) 16. (d) 17. (e) 18. (c) 19. (b) 20. (a)

SBI Clerk Recruitment Model Paper

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

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?
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
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 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
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
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

Free SBI Bank Clerk Model Paper

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 SOLVED PAPER

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

sbi bank clerk numerical ability

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)