Quantitative Aptitude Quiz for RBI | IBPS – Set 151

1)Two places A and B are 600 km apart. A train leaves ‘A’ for ‘B’ and at the same time another train leaves ‘B’ for ‘A’. Both the trains meet after eight hours of starting their journey. If the train travelling from ‘A’ to ‘B’ travels 15 kmh–1 faster than the other train, what is the ratio of the speed of the slower train to the speed of the faster train?
a) 1: 2
b) 2 : 3
c) 3 : 4
d) 4 : 5
e) 3 : 5

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Answer b) 2:3
Let speed of slower train=x kmph
Speed of faster train=x+15
(x+15)*8 + x*8=600[speed*time=distance] X=30 hence ratio=30/45=2:3

2) Seven persons are sitting around a round table. What is the probability that three particular persons are sitting together?
a) 1/7
b) 2/7
c) 1/5
d) 2/5
e) 1/6

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Answer c)1/5
n(s) = No. of ways in which seven persons can sit around a round table = 6! As three persons can be taken as a unit, total persons = 5 and number of ways in which five persons can sit around the table = 4! and three persons can sit in 3!
ways among themselves.
n(E) = 4! × 3!
P(E) = 4! x 3!/6! = 1/5

3) What is the probability that a number selected from numbers
1,2,3,…,30, is prime number, when each of the given numbers is equally likely to be selected?
a) 9/30
b) 8/30
c) 10/30
d) 11/30
e) 7/30

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Answer c) 10/30
Total no of prime numbers b/w 1 to 30 = 10[2,3,5,7,11,13,17,19,23,29] so P(E)= 10/30

4)On a certain sum of money, after 2 years the simple interest and compound interest obtained are Rs 800 and Rs 960 respectively. What is the sum of money invested?
a) Rs 1420
b) Rs 1325
c) Rs 1000
d) Rs 1405
e) Rs 1375

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Answer C) Rs 1000
Diff = 960-800 = 160
r = 2*Diff*100/SI
So r = 2*160*100/800 = 40%
Now 160 = Pr2/1002

5) A sum of money becomes Rs 35,280 after 2 years and Rs 37,044 after 3 years when lent on compound interest. Find the principal amount.
a) Rs 32,000
b) Rs 28,000
c) Rs 31,500
d) Rs 32,500
e) None of these

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Answer a) Rs 32,000
P[1 + r/100]3 = 37,044, and P[1 + r/100]2 = 35,280
Divide both equations, [1 + r/100] = 37044/35280 = 21/20
So P[21/20]2 = 35280

6) 1781.90÷54.20 + 456.13 – 2345.80 *0.98 = ? * 2
a) – 928
b)988
c)-876
d) -675
e)None of these

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Answer a) – 928
1782÷54+456-2345*1
= 33+456-2345
= -1856/2 = -928

7) [√(√65536)+144] = ?
a)36
b)17
c)20
d)41
e)None of these

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Answer c)20
√65536 = 256
√256+144 = √400 = 20

8) (575+7511-467+543)÷(76*0.5+675-342) = √?
a)456
b)484
c)529
d)625
e)None of these

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Answer b)484
8161 ÷ (38+675-342)= 8162 ÷ 371 = 22
√? = 22*22 = 484

9) (2344.65÷4.5-359)/? = 308/28
a)42
b)34
c)25
d)10
e)None of these

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Answer d)10
2345÷5 = 469 – 359 = 110
308/28 = 11
110/11 = 10

10) (5616÷156)×23.67 = ? ÷ 16.78
a)12388
b)14336
c)18644
d)14688
e)None of these

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Answer d)14688
36*24 = 864
864*17 = 14688