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?
18%
21%
23%
25%
A
25%
B
18%
C
21%
D
23%
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Solution
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The correct option is C23%
Given that 52% candidates failed in English, 42% failed in mathematics and 17% failed in both subjects.
Let n(A)=52%,n(B)=42%
Thus number of students who failed in one or both subjects =(52+42−17)%=77%
Therefore, pass percentage =23%.
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