1000+ HP Aptitude Questions and Answers 2023-2024 Pdf - 1
Question: 1
A man rows upstream 12 km and downstream 28 km taking 5 hours each time. The velocity of water current is
(A) $$1{3}/{5}$$ Km/h
(B) $$2{1}/{2}$$ Km/h
(C) 3 Km/h
(D) 4 Km/h
Ans: A
Let, the man’s rowing speed in still water = x Km/h
and speed of the current = y Km/h
Speed upstream = (x - y) Km/h
And speed downstream = (x + y) Km/h
∴ 5(x - y) = 12 and 5(x+ y) = 28
Subtracting 10y = 16
∴ y = $${8}/{5}$$ = $$1{3}/{5}$$Km/h.
Question: 2
A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 Km/h and the speed of the current is 3 Km/h, the distance between A and B is
(A) 4 km
(B) 8 km
(C) 12 km
(D) 16 km
Ans: C
Speed downstream = (9 + 3) Km/h = 12 Km/h.
Speed upstream = (9 - 3) Km/hr = 6 Km/h.
Let, the distance AB = x Km
Then, $${x/6} + {x/12}$$ = 3 ⇒ 2x + x = 36
⇒ x = 12
∴ Distance = AB = 12 Km.
Question: 3
A boat covers a distance downstream in 2 hours, but takes 4 hours to return upstream to the starting point. If the speed of the stream be 3 Km/h, find the speed of the boat in still water.
(A) 9 km/h
(B) 10 km/h
(C) 11 km/h
(D) 13 km/h
Ans: A
Speed of the boat in still water
= y$$({t2 + t1} / {t2 – t1})$$.
= 3$$({4 + 2} / {4 - 2})$$ = 9 Km/h.
Question: 4
A boatman can row 2 km against the stream in 20 minutes and return in 18 minute. Find the rate of current.
(A) $${1}/{2}$$ Km/h
(B) $${1}/{3}$$ Km/h
(C) $${1}/{4}$$ Km/h
(D) $${1}/{6}$$ Km/h
Ans: B
Speed of the boatman upstream = $${2}/{20} × 60$$ = 6 Km/h.
Speed of the boatman downstream = $${2}/{18}× 60$$ = $${20}/{3}$$ Km/h.
= $${2}/{18} × 60$$ = $${20}/{3}$$ Km/h.
∴ Rate of the current
= $${1}/{2} (Downstream speed – Upstream speed)$$
= $${1}/{2}({20}/{3} - 6)$$ = $${1}/{3}$$ Km/h.
Question: 5
Speed of a man is 10 Km/h in still water. If the rate of current is 3 Km/h. then the effective speed of the man upstream is
(A) 6 Km/h
(B) 7 Km/h
(C) 8 Km/h
(D) 9 Km/h
Ans: B
Speed of man in still water = 10 km/h.
Speed of current = 3 km/h
∴ Speed of man upstream = 10 - 3 = 7 km/h.
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