Out of 130 students appearing in an examination, 62 failed in English

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Out of 130 students appearing in an examination, 62 failed in English, 52 failed in Mathematics, whereas 24 failed in both English and Mathematics. The number of students who passed finally is

  1. 40
  2. 50
  3. 55
  4. 60

Answer

n(E) = 62; n(M) = 52; n(E ∩ M) = 24

n(E U M) = 62 + 52 - 24 = 90

90 students failed in at least one subject. So 130 - 90 = 40 passes finally.

The correct option is A.