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In an examination, 52% of the candidates failed in English, 42% in Mathematics and 17% in…

Paper 1 · Mathematical Reasoning and Aptitude
In an examination, 52% of the candidates failed in English, 42% in Mathematics and 17% in both. What percentage passed in both subjects?
A83%
B23% ✓ Correct
C64%
D55.5%
Correct answer: (B) 23% — 23% passed in both subjects, so that is the answer.
Explanation
23% passed in both subjects, so that is the answer.
The percentage that failed in at least one subject is 52 plus 42 minus the 17 counted twice.
That is 52 plus 42 minus 17, which is 77%.
So 77% failed in at least one subject.
The rest passed in both, that is 100 minus 77.
This gives 23%.

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