In an examination, 65% of the students passed in Mathematics, 48% passed in Phys

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Question

In an examination, 65% of the students passed in Mathematics, 48% passed in Physics and 30% passed in both. How much per cent of students failed in both the subjects ?

Options:

A . 13%

B . 43%

C . 47%

D . 17%

Answer: Option D
Answer: (d)n(M) = 65, n(P) = 48, n(M?P) = 30n(M?P)= n(M) + n(P) – n(M?P) = 65 + 48 – 30 = 83Percent of students passed = 83Percent of students failed= 17Method 2 : Students passed only in Math = 65 – 30 = 35%Students passed only in Physics = 48 – 30 = 18%Total passing % = 35 + 18 + 30 = 83%Failed = 100 – 83 = 17%

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