Question

In an examination, $52\%$ candidates failed in English and $42\%$ failed in Mathematics. If $17\%$ candidates failed in both English and Mathematics, what percentage of candidates passed in both the subjects?

• A. $18\%$
• B. $21\%$
• C. $23\%$
• D. $25\%$

Answer 1

The correct option is C $23\%$

Given that $52\%$ candidates failed in English, $42\%$ failed in mathematics and $17\%$ failed in both subjects.

Let $n\left(A\right)=52\%,n\left(B\right)=42\%$

Thus number of students who failed in one or both subjects $=(52+42-17)\%$ $=77\%$

Therefore, pass percentage $=23\%$.