In an examination, 54% of the candidates passed in Science and 42% failed in Mathematics. If 32% failed in both subjects, what pe…

Question

In an examination, 54% of the candidates passed in Science and 42% failed in Mathematics. If 32% failed in both subjects, what percentage passed in both subjects?

1. A. 56%
2. B. 48%
3. C. 32%
4. D. 44% (Correct answer)

Correct Answer

Option D — 44%

Detailed Solution & Explanation

The correct answer is 44%.

Key Points

• Failed Science=46%, Failed Math=42%, Failed both=32%.
• Failed in at least one = 46+42−32=56%.
• Passed both = 100−56 = 44%.