In a college, 40% are girls. 50% of the boys and 60% of the girls passed an exam. If 460 students failed, find the total number of students. MCQ with Answer and Explanation

Question

In a college, 40% are girls. 50% of the boys and 60% of the girls passed an exam. If 460 students failed, find the total number of students.

A. 800

B. 1000

C. 1100

D. 900

Answer: Option B

Solution (By JKSSB Mock Tests)

Total T. Boys=0.6T, girls=0.4T. Passed=0.5×0.6T+0.6×0.4T=0.3T+0.24T=0.54T. Failed=0.46T=460 → T=1000.

This question belongs to: Maths Percentage

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Question #1

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If 15% of a number is 75, the number is:

A. 450

B. 600

C. 500

D. 400

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Correct Answer: Option C

Explanation:
Let the number be x. 15% of x = 75 → 0.15x = 75 → x = 75 / 0.15 = 500.

This question belongs to: Maths Percentage

Question #2

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Mixture 40 L milk-water with 10% water. Water added to make 20%:

A. 4 L

B. 6 L

C. 8 L

D. 5 L

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Correct Answer: Option D

Explanation:
Water=4 L, milk=36 L. New total = 36/0.8 = 45 L, water added = 5 L.

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Question #3

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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. 2.5 kmph

B. 2 kmph

C. 3.5 kmph

D. 3 kmph

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Correct Answer: Option D

Explanation:
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.

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