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In an examination 70% candidates passed in prelims and 55% candidates passed in Mains. If 62% candidates passed in both these subjects, then what per cent of candidates failed in both the exams?
  • a)
    37%
  • b)
    26%
  • c)
    43%
  • d)
    15%
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In an examination 70% candidates passed in prelims and 55% candidates ...
Answer – 1.37% Explanation : Students passed in Prelims = 70% Students passed in Mains = 55% Students passed in both  = 62% No of students passed in at least one subject = (70+55)-62 = 63%. students failed in both subjects = 100-63 = 37%.
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In an examination 70% candidates passed in prelims and 55% candidates ...
P(prelims passed)=P(A)=70%
P(mains passed)=P(B)=55%
P(passed both)=P(A^B)=62%
P(passed any)=P (A¿B)= P(A)+P(B)-P(A^B)
=70%+55%-62%
=63%
there failed both= 100%- passed any
=100%-63%
=37%
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