1000+ Berhan Bank Exam Questions and Answers Pdf - 1
Question: 1
A can cultivate $${2}/{5}$$ of a land in 6 days and B can cultivate $${1}/{3}$$ of the same land in 10 days. Working together, A and B can cultivate $${4}/{5}$$ of the land in
(A) 5 days
(B) 8 days
(C) 9 days
(D) 10 days
Ans: B
A can cultivate full part of the land in $${6 × 5} /{2}$$ days.
B can cultivate full part of the land in (10 × 3) = 30 days.
Hence, the required time to do $${4}/{5}$$ part when A and B
work together = $$({15 × 30}/{30 + 15})$$ × $${4}/{5}$$ = 8 days.
Question: 2
A and B can finish a piece of work in 30 days, B and C can finish it in 15 days while C and A can finish it in 10 days. Time taken by them together to do this work is
(A) $$2{1}/{2}$$ days
(B) 5 days
(C) 10 days
(D) $$7{1}/{2}$$ days
Ans: C
(A + B)’s one days work = $${1}/{30}$$
(B + C)’s one day’s work = $${1}/{15}$$
(C + A)’s one day’s work = $${1}/{10}$$
∴ 2(A + B + C)’s one day’s work
= $${1/30} + {1/15} + {1/10}$$ = $${1 + 2 + 3} / {30}$$ = $${1}/{5}$$.
∴ (A + B + C)’s one day’s work = $${1}/{10}$$.
Question: 3
If 72 men can build a wall 280 m long in 21 days, how many men will take 18 days to build a similar type of wall of length 100 m?
(A) 20
(B) 30
(C) 40
(D) 50
Ans: B
Required number of men = $$72 × {21/18} × {100/280}$$ = 30.
Question: 4
Vinod can complete a job in 15 hours. Vinay alone can complete the same job in 10 hours. Vinod works for 9 hours and then the remaining job is completed by Vinay. How many hours will it take Vinay to complete the remaining job alone?
(A) 2
(B) 4
(C) 5
(D) 6
Ans: B
The part of job that Vinod completes in 9 hours = $${9}/{15}$$ = $${3}/{5}$$
Remaining job = $$1 - {3}/{5}$$ = $${2}/{5}$$
Remaining job can be done by Vinay in $${2}/{5} × 10$$ = 4 hours.
Question: 5
A and B undertake to do a piece of work for Rs. 600. A alone can do it in 6 days while B alone can do it in 8 days. With the help of C, they finish it in 3 days. Find the share of each.
(A) Rs. 25
(B) Rs. 50
(C) Rs. 70
(D) Rs. 75
Ans; D
C’s 1 day’s work = $${1}/{3} – ({1/6 }+ {1/8})$$ = $${1}/{24}$$.
∴ A : B : C = Ratio of their 1 day’s work = $${1}/{6} : {1}/{8} : {1}/{24}$$ = 4 : 3 : 1.
∴ A’s share = Rs. $$(600 × {4}/{8})$$ = Rs. 300.
B’s share = Rs. $$(600 × {3}/{8})$$ = Rs. 225.
C’s share = Rs [600 – (300 + 225)] = Rs. 75.
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