In an examination, 60% of students passed in Mathematics, 70% passed in Science, and 20% failed in both. What percentage passed in both subjects? MCQ with Answer and Explanation

Question

In an examination, 60% of students passed in Mathematics, 70% passed in Science, and 20% failed in both. What percentage passed in both subjects?

A. 40%

B. 60%

C. 50%

D. 70%

Answer: Option C

Solution (By JKSSB Mock Tests)

Passed in at least one subject = 100% - 20% = 80%. n(M U S) = n(M) + n(S) - n(M ∩ S). 80 = 60 + 70 - n(M ∩ S). n(M ∩ S) = 130 - 80 = 50%.

This question belongs to: Maths Percentage

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Question #1

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If 25% of a number is subtracted from 30% of the same number, the result is 15. Find the number.

A. 200

B. 350

C. 250

D. 300

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Correct Answer: Option D

Explanation:
0.3x - 0.25x = 0.05x = 15 → x = 300.

This question belongs to: Maths Percentage

Question #2

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A trader bought articles for Rs. 1200. Ten were damaged, rest sold at Rs. 2 more than CP each, total profit Rs. 60. Number of articles:

A. 80

B. 100

C. 90

D. 110

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Correct Answer: Option B

Explanation:
Let n articles, CP each = 1200/n. Sold (n-10) at (1200/n + 2). Total SP = (n-10)(1200/n +2) = 1260. Solving gives n=100.

This question belongs to: Maths Percentage

Question #3

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45 is what percentage of 90?

A. 55%

B. 50%

C. 40%

D. 45%

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Correct Answer: Option B

Explanation:
(45 / 90) * 100 = 50%.

This question belongs to: Maths Percentage

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