1000+ IBM Aptitude Questions and Answers 2023-2024 Pdf - 1
Question: 1
A man swimming in a stream which flows $$1{1}/{2}$$Km/h, finds that in a given time he can swim twice as far with the stream as he can against it. At what rate does he swim?
(A) $$2{1}/{2}$$ Km/h
(B) $$4{1}/{2}$$ Km/h
(C) $$5{1}/{2}$$Km/h
(D) $$7{1}/{2}$$Km/h
Ans: B
Speed of the man = $$({n + 1}/ {n - 1})$$
Speed of stream = $$({2 + 1}/{2 - 1})$$ × $${3}/{2}$$ = $${9}/{2}$$ or $$4{1}/{2}$$Km/h.
Question: 2
Twice the speed downstream is equal to the thrice the speed upstream, the ratio of speed in still water to the speed of the current is
(A) 1 : 3
(B) 1 : 5
(C) 2 : 3
(D) 5 : 1
Ans: D
Let speed in still water = x Km/h.
Speed of current = y Km/h.
Speed downstream = (x + y) Km/h.
Speed upstream = (x - y) Km/h.
∴ 2(x + y) = 3(x - y)
∴ x = 5y
or, $${x}/{y}$$ = $${5}/{1}$$ or 5 : 1.
Question: 3
A man can row at a speed of 10 Km/h in still water to a certain upstream point and back to the starting point in a river which flows at 4 Km/h. Find his average speed for total journey
(A) $$8{2}/{5}$$Km/h
(B) $$9{2}/{5}$$Km/h
(C) $$10{2}/{5}$$Km/h
(D) $$11{2}/{5}$$Km/h
Ans: A
Average speed = $${Upstream × Downstream} / {Man’s rate in still water}$$ = $${(10 – 4) (10 + 4)} / {10}$$ = $$8{2}/{5}$$Km/h.
Question: 4
A swimmer covers a distance of 29 Km against the current and 40 Km in the direction of the current. If in each case he takes 4 hours, then the speed of the current is
(A) 1.5 Km/h
(B) 2.5 Km/h
(C) 3.5 Km/h
(D) 4.5 Km/h
Ans: A
Speed of the swimmer upstream
= $${28}/{4}$$ = 7 km/h.
Speed of the swimmer downstream
= $${40}/{4}$$ = 10 km/h.
∴ Speed of the stream
= $${1}/{2} (Downstream speed - Upstream speed)$$
= $${1}/{2}(10 - 7)$$ = $${3}/{5}$$ = 1.5 km/h.
Question: 5
The speed of a boat in still water is 8 km/h. If its speed downstream be 15 Km/h. then speed of the stream is
(A) 7 Km/h
(B) 9 Km/h
(C) 10 Km/h
(D) 11 Km/h
Ans: A
Speed of the boat downstream = 15 km/h.
Speed of the boat in still water = 8 km/h.
Let the speed of the stream = y km/h.
We have, 15 = 8 + y
∴ y = 15 - 8 = 7 km/h.
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