Memory Based SBI Clerk Mains - Quant.
Time Allowed: 45 Minutes

Maximum Marks: 50

1. 7 151
223
259
277
?
(a) 268
(b) 295
(c) 286
(d) 259
(e) None of these
2. 27 30.2
23.8
33.4
20.6
?
(a) 30.2
(b) 36.6
(c) 39.8
(d) 17.4
(e) None of these
3. 5
4
6
15
56
?
(a) 280
(b) 275
(c) 270
(d) 265
(e) 285
4. 7
10 21 52
121 ?
(a) 256
(b) 270
(c) 254
(d) 252
(e) None of these
5. 5 3
4
?
38
(a) 8.5
(b) 6
(c) 7.5
(d) 8
(e) None of these
6. Distance between A and B is 24 km a boat travels
from A to B and comes back in 6 hour. The speed of
boat in still water is thrice the speed of stream. Find
the speed of boat.
(a) 3 km/hr
(b) 11 km/hr
(c) 7 km/hr
(d) 12 km/hr
(e) 9 km/hr
7. A rectangular grassy plot is 112 m by 78 m. It has a
gravel path 2.5 m wide all round it on the inside.
Find the area of the path and the cost of
constructing it at Rs. 2 per square metre?
(a) Rs. 1500
(b) Rs. 1600
(c) Rs. 1750
(d) Rs. 1850
(e) None of these
8. Find length of BC ?

(a) 24
(c) 22

(b) 26
(d) 28

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(e) 27
9. Circumference of circle is 44 meter. Find the area of
triangle ?

(a) 49
(b) 49√
(c) 98√
(d) 98
(e) None of these
10. Find the area of shaded portion ?

(a) 154
(b) 196
(c) 156
(d) 198
(e) None of these
11. A bag contains 4 red, 5 yellow and 6 green balls. 3
balls are drawn randomly.
What is the probability that the balls drawn contain
no yellow ball?
(a)
(b)
(c)
(d)Data inadequate
(e) None of these
Directions (12 – 16) : In each of these questions,
two equations (I) and (II) are given. You have to solve
both the equations and give answer.
(a) if x > y
(b) if x  y
(c) if x < y
(d) if x  y
(e) if x = y or no relation can be established between
‘x’ and y.
12. I. 4x + 7y = 42
II. 3x – 11y = – l
13. I. 9x2 – 29x + 22 = 0
II. y2 – 7y + 12 = 0
14. I. 3x2 – 4x – 32 = 0
II. 2y2 – 17y + 36 = 0
15. I. 3x2 – 19x – 14 = 0
II. 2y2 + 5y + 3 = 0
16. I. x2 + 14x + 49 = 0
II. y2 + 9y = 0
Directions (17-21): Read the following graph
carefully and answer the questions given below.

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Number of employees

Number of employees and their salaries (in
thousands per month) in different banks.
PNB

800

OBC

SBI

600

600

400
300
200
100

200

400
300
200

300
200
100

400
300

400
300
200

300
200

200
100

100

0
10

15

20

25

30

35

40

19. What is the respective ratio between the total salary
of Rs. 15000 salaried employees to the total salary
of Rs. 35000 salaried employees?
(a) 1 : 3
(b) 2 : 3
(c) 1 : 1
(d) 4 : 1
(e) None of these
20. The number of employees of OBC drawing salary Rs.
20000 is approximately what percent of the
number of employees of SBI drawing salary Rs.
30000 month?
(a) 75%
(b)
(c)

(d) 80%

salary
(e) 66 %
17. What is the average salary of employees of PNB?
21. Total salary of Rs. 20000 salaried employees is
(a) Rs. 26125
(b) Rs. 24525
what percent of the total salary of 25000 salaried
(c) Rs. 23186
(d) Rs. 25625
employees?
(e) None of these
(a) 92
(b) 90
18. Which bank has the lowest number of employees?
(c) 94
(d) 86
(a) SBI
(b) PNB
(e) None of these
(c) OBC
(d) PNB and OBC
(e) None of these
Directions (Q. 22-26): Study the table carefully to answer the questions that follow.
Number of animals in grasslands of four different countries in five different years
Year
1990
1995
2000
2005
2010

South Africa
Tiger
Lion
145
156
134
165
120
135
110
184
160
224

Bear
250
354
324
285
264

China
Tiger
320
445
583
466
411

Lion
346
256
325
475
535

22. What is the average of the number of tigers in the
grassland of Sri Lanka over all the years together?
(a) 386
(b) 389
(c) 369
(d) 276
(e) None of these
23. What is the difference between the total number of
lions and bears in the grassland of England in the
year 2005 and the number of tigers in the grassland
of South Africa in the year 1995?
(a) 597
(b) 558
(c) 677
(d) 668
(e) None of these
24. The total number of animals together in the
grassland of China in the year 1990 is
approximately what per cent of the total number of
bears in the grassland of Sri Lanka over all the years
together?
(a) 44%
(b) 56%
(c) 41%
(d) 47%
(e) 51%
25. If 35 per cent of the total number of animals in the
grassland of China in the year 2010 died due to an
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Country
Sri Lanka
Bear
Tiger
436
280
542
354
454
433
322
343
534
535

Lion
468
354
345
324
532

Bear
255
343
545
546
453

England
Tiger
423
368
354
562
349

Lion
342
136
267
235
345

Bear
234
345
456
567
324

epidemic, how many animals remained in the
grassland of China in the year 2010?
(a) 976
(b) 952
(c) 986
(d) 962
(e) None of these
26. What is three-fourths of the total number of lions in
the grasslands of all the four countries in the year
2000?
(a) 848
(b) 868
(c) 804
(d) 824
(e) None of these
27. The salaries of A, B and C are in the ratio 1 : 3 : 4. If
the salaries are increased by 5%, 10% and 15%
respectively, then the increased salaries will be in
the ratio
(a) 20 : 66 : 95
(b) 21 : 66 : 95
(c) 21 : 66 : 92
(d) 19 : 66 : 92
(e) None of these
28. Two pipes A and B can separately fill a cistern in 60
minutes and 75 minutes respectively. There is a
third pipe in the bottom of the cistern to empty it. If
all the three pipes are simultaneously opened, then
the cistern is full in 50 minutes. In how much time,

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the third pipe alone can empty the cistern?
(a) 90minutes
(b) 100 minutes
(c)110 minutes
(d) 120 minutes
(e) None of these
Directions (29-33): Each question below is
followed by two statements I and II. You are to
determine whether the data given in the statement
is sufficient to answer the question. You should use
the data and your knowledge of Mathematics to
choose between the possible answers. Give
answer—
(a) If the question can be answered by using
statement I alone but cannot be answered by
statement II alone.
(b) If the question can be answered by using
statement II alone but cannot be answered by
statement I alone.
(c) If both statements I and II together are required
to answer the question.
(d) If the answer can be found by using any of the
two statements alone.
(e) If both the statements together are not
sufficient to answer the question.
29. What will be the cost of painting a rectangular wall?
I. Cost of painting is Rs 10 per square meter.
II. Perimeter of wall is 60 m.
30. Age of A is one third of age of B. What are their
ages?
I. After 10 years the ratio between age of A and B
will 3 : 7.
II.10 years ago the ratio of their ages was 1 : 5.
31. What is the length of a train?
I. It takes 8 seconds to cross a man.
II. It takes 20 seconds to cross a 50-meter-long
bridge with the same speed.
32. What is sum of two numbers a and b?
I. a – z = 20
II. z – b = 20
33. What is the age of A and B?
I. Age of A is 80% of the age of C.
II. Age of B is 60% of the age of C
34. The ages of Ranjana and Rakhi are in the ratio of 15
: 17 respectively. After 6 years, the ratio of their
ages will be 9 : 10. What will be the age of Ranjana
after 6 years?
(a) 40 years
(b) 30 years
(c) 34 years
(d) 36 years
(e) None of these
35. The simple interest accrued on an amount of Rs.
20000 at the end of 3 years is Rs. 7200. What would
be the compound interest accrued on the same
amount at the same rate in the same period?
(a) Rs. 8342.36
(b) Rs. 8098.56
(c) Rs. 8246.16
(d) Rs. 8112.86
(e) None of these
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36. A pipe can empty a tank in 40 minutes. A second
pipe with diameter twice much as that of the first is
also attached with the tank to empty it. The two
together can empty the tank in ;
(a) 8 minutes
(b) 13 minutes
(c) 30 minutes
(d) 38 minutes
(e) None of these
37. A shopkeeper purchased a TV for Rs. 2,000 and a
radio for Rs. 750. He sells the TV at a profit of 20%
and the radio at a loss of 5%. The total loss or gain
is
(a) Gain Rs. 352.50
(b) Gain Rs. 362.50
(c) Loss Rs. 332
(d) Loss Rs. 300
(e) None of these
38. 8 men and 4 women together can complete a piece
of work in 6 days. Work done by a man in one day is
double the work done by a woman in one day. If 8
men and 4 women started working and after 2 days,
4 men left and 4 new women joined. In how many
more days will the work be completed?
(a) 5 days
(b) 8 days
(c) 6 days
(d) 4 days
(e) 9 days
39. A, B and C started a business with their investments
in the ratio 1 : 2 : 4. After 6 month A invested the
half amount more as before and B invested same
the amount as before while C withdrew th of his
investment. Find the ratio of their profits at the end
of the year.
(a) 5 : 12 : 13
(b) 5 : 11 : 14
(c) 5 : 12 : 14
(d) 5 : 12 : 10
(e) None of these
40. Richa’s science test consist of 85 questions from
three sections- i.e. A, B and C. 10 questions from
section A, 30 questions from section B and 45
question from section C. Although, she answered
70% of section A, 50% of section B and 60% of
section C correctly. She did not pass the test
because she got less than 60% of the total marks.
How many more questions she would have to
answer correctly to earn 60% of the marks which is
passing grade?
(a) 4
(b) 2
(c) 5
(d) 6
(e) 8
41. The average age of 28 men is 27 years. If the age of
one more man is added to it, the average increases
by 1 year. What is the age of the new man?
(a) 28 years
(b) 42 years
(c) 56 years
(d) 54 years
(e) None of these
42. Ms Deepti Jain invests 11% of her monthly salary,
i.e. , Rs. 5236 in Fixed Deposits. Later she invests
19% of her monthly salary on Life Insurance
Policies, also she invests another 7% of her monthly

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salary on Mutual Funds. What is the total annual
amount invested by Ms Deepti Jain?
(a) Rs. 211344
(b) Rs. 17612
(c) Rs. 105672
(d) Rs. 35224
(e) None of these
43. A committee of 3 members is to be selected out of 3
men and 2 women. What is the probability that the
committee has atleast one woman?
(a)
(b)
(c)
(d)
(e) None of these
44. A and B together can complete a piece of work in 12
days. A alone can complete in 20 days. If B does the
work only half a day daily, then in how many days A
and B together will complete the work?
(a) 10 days
(b) 20 days
(c) 11 days
(d) 15 days
(e) None of these
45. A train is moving at a speed at a speed of 132
km/hour. If the length of the train is 110 metres,
how long will it take to cross a railway platform 165
metres long?
(a) 5 second
(b) 7.5 second
(c) 10 second
(d) 15 second
46. 15 litres of a mixture contains alcohol and water in
the ratio 1 : 4. If 3 litres of water is mixed in it, the
percentage of alcohol in the new mixture will be
(a) 15
(b)
(c) 17
(e) None of these

(d)

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47. Two pipes A and B can fill a cistern in 30 minutes and
45 minutes resp. Both pipes are opened. The cistern
will be filled in just 20 min, if the pipe B is turned off
after
(a) 5 min
(b) 9 min
(c) 10 min
(d) 15 min
(e) None of these

48. 2 men and 3 boys can do a piece of work in 10 days
while 3 men and 2 boys can do the same piece of
work in 8 days. In how many days can 2 men and 1
boy do the same piece of work?
(a)
days
(b) 24 days
(c) 32 days
(d)
days
(e) None of these
49. A man sets out on cycle from Delhi to Faridabad,
and at the same time another man starts from
Faridabad on cycle for Delhi. After passing each
other they complete their journeys in
and
hours respectively. At what rate does the second
man cycle if the first man cycles at 14 kmph?
(a) 10 kmph
(b) 5 kmph
(c) 7 kmph
(d) 8 kmph
(e) None of these
50. The length of rectangular floor is twice its breadth.
If Rs 256 is required to paint the floor at the rate Rs
2 per sq m, then what would be the length of floor ?
(a) 16 m
(b) 8 m
(c) 12 m
(d) 32 m
(e) 20 m

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1. (c);
2. (b);
3. (b);
4. (d);
5. (e); The pattern is : × 1 – 2, × 2 – 2, × 3 –2, × 4 – 2
6. (e);
7. (d);
8. (b);
9. (a);
10. (a);
11. (a);
12. (a);

Solutions

=(1/100)
The third pipe can alone fill the tank in 100
minutes.
29. (e);Both the statements together is not sufficient.
30. (d);Both statements alone is sufficient.
Let age of A is x and age of B is y.
∴ 3x = y ... (i)
From statement I:

Solving equations (i) and (ii), x = 20, y = 60
From statement II:
=

13. (c);

x  10 3
 ... (ii)
y  10 7

x  10 1

y  10 5

=>5x – 50 = y – 10
=>5x – y = 40 (iii)
From equations (i) and (iii), x = 20, y = 60
31. (c);Let length the train be x.
From statement I:

14. (d);

Speed =

15. (a);

x
8

From statement II:
Speed =

16. (e);
No relation between and .
17. (e); Average salary =
= 26875
18. (b);Number of employees in :
PNB = 1600
OBC = 1700
SBI = 2100
19. (e); Required ratio = 15000×600 : 35000 × 900
=2:7
20. (e); Required percentage =

Solving this, x =

x=

80
z
100

From statement II:

60
z
100

From these two equations

22. (b); Required No.
23. (d); Required difference
(
)
24. (e); Required %

x 4
 but cannot find
y 3

x and y separately.
34. (d);Let the present age of Ranjana and Rakhi be 15x
and 17x

25. (d); Required animals
(
)
26. (c); Required No. of lions
)
= (
27. (c); Let their salaries be 100, 300 and 400
Their new salaries

X=2
Age of Ranjana after 6 years
36 years.
35. (b);S.I. =7200
R=

28. (b);Work done by the third pipe in 1 min.
=(1/50)- [(1/60)+(1/75)] =[(1/50)-(3/100)]
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400 100
=
3 meter
12

32. (e);From I and II we find a + b = 2z
we can not find a + b from I and II together.
33. (e);Data is not sufficient.
From statement I:

y=
21. (b);Required percentage =

x  50
20

C.I = 20000[(1+
= 8098.56

)

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36. (a); Here volume of water emptied by the second
pipe will be 4 times to that of first Hence, Time take
will be 1/4 of the first pipe. When both the pipes are
open the part of the tank emptied in 1 minute= 1/8
Hence the tank will be emptied in 8 minutes.
37. (b); Total CP = 2000 + 750 = 2750
Total
= 2400 + 712.5
= 3112.5
Total gain 3112 – 2750 = 362.5
38. (a);Let Man
Woman

46. (b);
New ratio = 1 : 5
Required %
=
47. (d);

Let B turned off after T min
2T+3
T=15 min
)
(
)
48. (a); (

Man = 30, woman = 120

days
days

Required No. of days
(

)

= 5 days
39. (c); Let their investment be
A
(
)

and
Required No. of days
√

49. (a); Ratio of their speeds
(

days
√

)
√

Required Ratio = 15 : 36 : 42

√

40. (b);Number of questions attempted correctly =
70% of 10 + 50% of 30 + 60% of 45 = 7 + 15 +
27 = 49
Passing grade = (60/100 )* 85 = 51
Reqd.Ans = 51 - 49 = 2
41. (c); Age of new man
years
42. (b); 11% 5236
(
43. (c); Probability

)

√

50. (a); Area

√

√

√
kmph

√
√

√
√

m2

Rs.

44. (d);

Required length

m

B = 30 days
Required No. of days
days
45. (b);
seconds
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