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. 900

B. 1100

C. 1000

D. 800

Answer: Option C

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 60% of a number is subtracted from another number, the second number reduces to 52% of itself. Find the ratio of the first to the second.

A. 5:8

B. 2:3

C. 3:4

D. 4:5

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Correct Answer: Option D

Explanation:
y - 0.6x = 0.52y → 0.48y = 0.6x → x/y = 0.48/0.6 = 4/5.

This question belongs to: Maths Percentage

Question #2

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The price of sugar is decreased by 20%. By what percent must a householder increase its consumption so that expenditure does not change?

A. 25%

B. 30%

C. 15%

D. 20%

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Correct Answer: Option A

Explanation:
New price 0.8, consumption multiplier = 1/0.8 = 1.25, increase 25%.

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Question #3

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35% of 240 is:

A. 90

B. 78

C. 84

D. 72

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Correct Answer: Option C

Explanation:
0.35 × 240 = 84.

This question belongs to: Maths Percentage

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