Commonwealth Bank of Australia Aptitude Test (Interview) Questions - 1
Question: 1
Two pipes, A and B, can separately fill a tank in 6 hours and 8 hours, respectively. Both the pipes are opened together, but $$1{1}/{2}$$ hours later pipe A is turned off. How much time will it take to fill the tank?
(A) $$4{1}/{2}$$ hours
(B) $$5{1}/{2}$$ hours
(C) 5 hours
(D) 6 hours
Ans: D
Pipe (A + B)’s $$1{1}/{2}$$ hours job = $${3}/{2} ({1/6 + 1/8})$$
Part unfilled = $$1 - {7}/{16}$$ = $${9}/{16}$$
Pipe B can fill $${1}/{8}$$ of the tank in = 1 hour
Pipe B can fill $${9}/{16}$$ of the tank in $$8× {9}/{16}$$ = $${9}/{2}$$ hours.
Total time taken to fill the tank = $$({3/2} + {9/2})$$ hours = 6 hours.
Question: 2
A tap can empty a tank in one hour. A second tap can empty it in 30 minutes. If both the taps operate simultaneously, how much time is needed to empty the tank?
(A) 10 minutes
(B) 20 minutes
(C) 30 minutes
(D) 40 minutes
Ans: B
In one minute $${1/60} + {1/30}$$ = $${1}/{20}$$ of the tank will be empty.
Question: 3
A tank can be filled by pipe A in 2 hours and pipe B in 6 hours. At 10 am pipe A was opened. At what time will the tank be filled if pipe B is opened at 11 am?
(A) 5 pm
(B) 12 pm
(C) 12.45 am
(D) 11.45 am
Ans: D
Part of the tank filled in 1 hour by pipe A = $${1}/{2}$$
Part of the tank filled by both pipes in 1 hour = $${1/2} + {1/6}$$ = $${3 + 1}/ {6}$$ = $${2}/{3}$$∴ Time taken to fill $${2}/{3}$$ parts = 60 minutes
∴ Time taken to fill $${1}/{2}$$ part = $${60 × 3} / {2} × {1/2}$$ = 45 minutes
∴ The tank will be filled at 11:45 am.
Question: 4
A pipe can empty a cistern in 12 hours. Find the part of the cistern emptied in 4 hours.
(A) $${1}/{2}$$
(B) $${1}/{3}$$
(C) $${1}/{4}$$
(D) $${1}/{6}$$
Ans: B
We have, part of the cistern emptied in 1 hour = $${1}/{12}$$
∴ Part of the cistern emptied in 4 hours = $${1}/{12} × 4$$ = $${1}/{3}$$.
Question: 5
A cistern has two pipes. One can fill it with water in 8 hours and the other can empty it in 5 hours. In how many hours will the cistern be emptied if both the pipes are opened together when $${3}/{4}$$ of the cistern is already full of water?
(A) $${1}/{3}$$ hours
(B) 6 hours
(C) 10 hours
(D) $$13{1}/{3}$$ hours
Ans: C
In one hour, $${1/5} - {1/8}$$ = $${3/40}$$ of the cistern is emptied.
∴ Whole cistern is emptied in $${40}/{3}$$ hours
i.e., $${3}/{4}$$ of the cistern is emptied in $${40/3} × {3/4}$$ = 10 hours.
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