A man can row 9 kmph in still water. It takes him twice as long to row up as to row down the river. Find the rate of the stream. MCQ with Answer and Explanation

Question

A man can row 9 kmph in still water. It takes him twice as long to row up as to row down the river. Find the rate of the stream.

A. 3 kmph

B. 2.5 kmph

C. 2 kmph

D. 3.5 kmph

Answer: Option A

Solution (By JKSSB Mock Tests)

Let stream = s. Speed up = 9-s, down = 9+s. Time up = 2 × time down → distance/(9-s) = 2×distance/(9+s) → 9+s = 2(9-s) → 9+s=18-2s → 3s=9 → s=3 kmph.

This question belongs to: Maths Percentage

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Question #1

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A person buys an article at 20% discount on the marked price and sells it at the marked price. What is his profit percent?

A. 22%

B. 25%

C. 28%

D. 20%

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Correct Answer: Option B

Explanation:
Let MP=100, CP=80, SP=100, profit% = (20/80)×100 = 25%.

This question belongs to: Maths Percentage

Question #2

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A number decreased by 15% becomes 170. Original number is:

A. 200

B. 190

C. 205

D. 195

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Correct Answer: Option A

Explanation:
0.85x = 170 → x = 200.

This question belongs to: Maths Percentage

Question #3

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A 60-litre mixture contains milk and water in the ratio 2:1. How many litres of the mixture should be withdrawn and replaced with water to make the ratio 1:2?

A. 30 L

B. 25 L

C. 35 L

D. 20 L

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Correct Answer: Option A

Explanation:
Milk=40 L, water=20 L. Withdraw x L mixture: milk removed = (2/3)x, water removed = (1/3)x. After replacement, milk = 40 - 2x/3, water = 20 - x/3 + x = 20 + 2x/3. Ratio 1:2 → (40 - 2x/3)/(20 + 2x/3) = 1/2 → 2(40 - 2x/3) = 20 + 2x/3 → 80 - 4x/3 = 20 + 2x/3 → 60 = 2x → x = 30.

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