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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