Quantitative Aptitude Quiz for IBPS | IPPB – Set 192

1)A tap can fill an empty tank in 12 h and a leakage can empty the tank in 20 h. If tap and leakage both work together, then how long will it take to fill the tank?
a) 25 h
b) 40 h
c) 30 h
d) 35 h
e) None of these

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Answer c) 30 h
Short-cut method,
Here, m = 20 and n = 12
Then, T = (m*n)/(m-n) = (12*20)/8 = 30 h.

2)A tank has a leak which would empty it in 8 h. A tap is turned on which admits 3 L a min into the tank and it is now emptied in 12 h. How many litres does the tank hold?
a) 4320 L
b) 4000 L
c) 2250 L
d) 4120 L
e) None of these

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Answer a) 4320 L
Work done by the inlet in 1 h = (1/8 – 1/12) = 1/24
Work done by the inlet in 1 min = 1/24 * 1/60 = 1/1440
Volume of 1/1440 part = 3 L
Then, Volume of the whole = 3 * 1440 = 4320 L.

3)The sum of the present ages of a father and his son is 60 years. Six years ago, father’s age was five times the age of the son. After 6 years, son’s age will be?
1) 12 years
2) 14 years
3) 18 years
4) 20 years

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Answer 4) 20 years

3)The average weight of 8 person’s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg. What might be the weight of the new person?
1) 76 kg
2) 76.5 kg
3) 85 kg
4) Data inadequate
5) None of these

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Answer 3) 85 kg

4)1)Excluding stoppage, the speed of a bus is 54 kmph and including stoppages, it is 45 kmph. For how many minutes does the bus stop per hour?
a) 9
b) 10
c) 12
d) 20
e) None of these

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Answer b)10
Due to stoppages, it cover 9 km less.
Time taken to cover 9 km=[(9/54)X60)min=10 min

5)Two men starting from the same place walk at the rate of 4 kmph and 4.5 kmph respectively. What time will they take to be 8.5 km apart, if they walk in the same direction?
a) 1 hour
b) 4 hrs 15 min
c) 17 hrs
d) 2 hrs. 55 min.
e) None of these

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Answer c)17hrs
To be 0.5 km apart, they take 1 hour
To be 8.5 km apart, they would take=[(1/0.5)X8.5]hrs=17 hrs.

6)7)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

7)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

8)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

9)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

10)A work is done by three person A,B and C. A alone takes 10 hours to complete a single product but B and C working together takes 4 hours, for the completion of the same product. If all of them worked together and completed 14 products, then how many hours have they worked?
a)20 hrs
b)28 hrs
c)40 hrs
d)54 hrs
e)none of these

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Answer C)40hrs
1/A=1/10 and
1/B+1/C=1/4 (Given)
1/A+1/B+1/C=1/4+1/10
=7/20
In 20 hours, working together they will complete 7 products.
Thus in 40 hours they will complete 14 products

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