1000+ Virtusa Aptitude Questions and Answers Pdf - 1
Question: 1
A boat moves downstream at the rate of one Km in 10 minutes and upstream at the rate of 4 Km an hour. What is the velocity of the current?
(A) 1 Km/h
(B) 3 Km/h
(C) 5 Km/h
(D) 7 Km/h
Ans: A
Speed of the boat downstream
= $${60}/{10}$$ = 6 km/h.
Speed of the boat upstream = 4 km/h.
∴ Velocity of the current
= $${1}/{2} (Downstream speed – Upstream speed)$$
= $${1}/{2} (6 - 4)$$ = 1 Km/h.
Question: 2
A man can row 6 Km/h in still water. If the river is running at 2 Km/h, it takes 3 hours more in upstream than to go downstream for the same distance. How far is the place?
(A) 24 km
(B) 28 km
(C) 32 km
(D) 36 km
Ans: A
The required distance
= $${(x^2 – y^2)t} / {2y}$$
= $${(36 - 4)^3}/ {2× 2}$$ = 24 Km.
Question: 3
A boat running downstream covers a distance of 16 km in 2 hours while for covering the same distance upstream it takes 4 hours. What is the speed of the boat in still water?
(A) 4 Km/h
(B) 6 Km/h
(C) 8 Km/h
(D) 12 Km/h
Ans: B
Rate upstream = $${16}/{2}$$Km/h = 8 Km/h.
Rate downstream = $${16}/{4}$$ = 4 Km/h.
∴ Rate in still water = $${1}/{2}(8 + 4)$$ = 6 Km/h.
Question: 4
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) 6 Km
(C) 8 Km
(D) 12 Km
Ans: D
Speed downstream = (9 + 3) Km/h = 12 km/h
Speed upstream = (9 - 3) Km/h = 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: 5
A man can swim 3 Km/h in still water. If the velocity of the stream be 2 km/h, the time taken by him to swim to a place 10 km upstream and back is
(A) 10 hours
(B) 12 hours
(C) $$8{1}/{3} hours$$
(D) $$9{1}/{5} hours$$
Ans: B
Speed upstream = (3 - 2) Km/h = 1 Km/h.
Speed downstream = (3 + 2) Km/h = 5 Km/h.
Total time taken = $$({10/1} + {10/5})$$ hours = 12 hours.
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