numerical ability

SBI CLERK PRELIMS QUANT PRACITCE SET
NUMERICAL ABILITY
Directions (1 – 5) : Study the table carefully to answer
the questions that follow.
Number of students studying in different standards
of different schools
Standards
I
II
III
IV
V
VI
Schools
A
42
54
48 58
50
38
B
50
60
58 45
45
46
C
40
48
58 46
42
54
D
45
55
46 40
52
50
E
48
55
44 55
52
48
F
52
52
54 42
60
54
1. What is the approximate average number of students
studying in standard I from all schools together?
(a) 38
(b) 50
(c) 40
(d) 46
(e) None of these
2. Number of students studying in standard IV from
school E is what per cent of those studying in
standard IV from school D?
(a) 128%
(b) 132.5%
(c) 124%
(d) 137.5%
(e) None of these
3. Which school has the highest total number of
students from all the given standards together?
(a) E
(b) F
(c) B
(d) A
(e) None of these
4. Which standard has the lowest total number of
students from all the given schools together?
(a) V
(b) VI
(c) I
(d) III
(e) None of these
5. What is the respective ratio of students studying in
standard III of schools A and B together to those
studying in standard VI of schools C and D together
(a) 53. : 52
(b) 43 : 47
(c) 25 : 27
(d) 87 : 81
(e) None of these
6. A man can row 24 km upstream and 54 km
downstream in 6 hours. He can also row 36 km
upstream and 48 km downstream in 8 hours. What is
the speed of the man in still water?
(a) 18.75 kmph
(b) 19.25 kmph (c) 17.65 kmph
(d) 15.55 kmph
(e) 22.75 kmph
7. In how many ways can the letters of the word
IMAGINARY be arranged in such a way that all the
vowels never come together?
(a) 95040
(b) 94050
(c) 93070
(d) 86400
(e) 98090
8. 6 boys and 6 girls sit in a row at random.The
probability that all the girls sit together is?
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(a)
(b)
(c)
(d)
(e)
9. The numerator of a fraction is decreased by 25% and
the denominator is increased by 250%. If the
resultant fraction is , what is the original fraction?
(a)
(b)
(c)
(d)
(e)
10. What would be the area of a rectangle whose area is
equal to the area of a circle of radius 7 cm?
(a) 77 cm2
(b) 154 cm2
(c) 184 cm2
(d) 180 cm2
(e) 150 cm2
11. A dishonest vendor professes to sell fruits at the cost
price but he uses a weight of 800 grams in lieu of 1
kg weight. Find his percentage gain.
(a) 22%
(b) 24%
(c) 25%
(d) 30%
(e) 20%
12. P sells a cow to Q at a loss of 10% and Q sells it to R
at a loss of 8%. If R pays Rs. 1656 for it, at what price
did P buy it?
(a) Rs. 1533
(b) Rs. 1803
(c) Rs. 1217
(d) Rs. 1672
(e) Rs. 2000
13. Find the ratio of compound interest to simple
interest on a sum at 8% per annum for 3 years.
(a) 2143 : 3354
(b) 1051 : 1529 (c) 129 : 427
(d) 2 : 3
(e) 2029 : 1875
14. Find the compound interest on Rs. 12000 for 2 years,
the rate of interest being 3% per annum.
(a) Rs. 840.8
(b) Rs. 935.7 (c) Rs. 1035.6
(d) Rs. 730.8
(e) Rs. 473.5
15. A container contains milk and water in the ratio of 4 :
1. How much mixture should be taken out and
replaced with water so that the container contains
milk and water in the ratio of 3 : 2?
(a)
(b)
(c)
(d)
(e)
16. A is 2.5 times as good workman as B and A is able to
finish the work in 50 days less than B. Find the time
in which they can do it working together.
(a)
days
(b)
days (c)
days
(d)
days
(e)
days
17. Rajan covers a certain distance in 12 minutes if he
runs at a speed of 10 kmph. What should be his
speed in order to reduce his running time to 8
minutes?
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(a) 15 kmph
(b) 14 kmph
(c) 12 kmph
(d) 8 kmph
(e) 18 kmph
18. If the ratio of the area of two squares is 16 : 28, find
the ratio of their diagonals.
(a) 2 : √
(b) √ : 2
(c) 4 : √
(d) √
(e) 4 : 5
19. A man invests equal sums at the ratio of 10% per
annum compound interest and simple interest
respectively for 2 years. After 2 years, the difference
between the compound interest and the simple
interest is Rs. 1000. Then the sum is
(a) Rs. 100500
(b) Rs. 110000 (c) Rs. 120000
(d) Rs. 100000
(e) Rs. 90000
20. Satshivam can finish a work in 18 days. Altmash
takes 2.5 times more time than Balasubramanyam
and Balasubramanyam takes half as many days as
Satshivam to finish the work alone. In how many
days all of them will complete work together?
(a)
days
(b)
days
(c)
days
(d)
days
(e)
days
Directions (21-30) : What value should come in place of
question mark (?) in the following equations?
21. 18.5% of 124 = ?
(a) 21.32
(b) 22.94
(c) 23.64
(d) 24.48
(e) 25.64
22. (√
× 3.25 = ?
(a) 24.7
(b) 25.4
(c) 26.6
(d) 27.2
(e) 28.5
23. 17.8 + of 89.6 = ?
(a) 52.8
(b) 54.4
(c) 56.2
(d) 58.6
(e) 60.4
24. 373.816 + 274.102 – 199.573 – 108.108 = ?
(a) 338.147
(b) 339.787
(c) 340.237
(d) 341.347
(e) 342.107
25. 14.8 × 7.25 = 20% of ?
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(a) 524.5
(b) 528.5
(c) 532.5
(d) 536.5
(e) 540.5
26. √
×√
(a) 212
(b) 215
(c) 218
(d) 220
(e) 221
27.
=
(a) 84
(b) 98
(c) 104
(d) 116
(e) 128
28. 44 × 6.5 + 2970 18 = ?
(a) 451
(b) 463
(c) 484
(d) 497
(e) 504
29. √
×√
(a) 632
(b) 635
(c) 642
(d) 646
(e) 651
30. of of 6864 = ?
(a) 1638
(b) 1640
(c) 1636
(d) 2638
(e) 2640
Directions (31-35): What will come in place of question
mark (?) in the following number series ?
31. 860 739
658
609
584
?
(a) 475
(b) 585
(c) 575
(d) 593
(e) 420
32. 4 7 20 79 394
2363 ?
(a) 16540
(b) 15682
(c) 16583
(d) 14582
(e) 14213
33. 7 10.5
21
?
157.5 551.25
(a) 42.5
(b) 52
(c) 63
(d) 52.5
(e) 62.5
34. 93 95.8
99.8
105
?
119
(a) 110.4
(b) 111.4
(c) 110.8
(d) 112.4
(e) 111.8
35. 34 36
41
51
?
94
131
(a) 58
(b) 67
(c) 68
(d) 69
(e) 55
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