In an examination 80% of the boys passed in English and 85% passed in Mathematic

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Question

In an examination 80% of the boys passed in English and 85% passed in Mathematics, while 75% passed in both. If 45 boys failed in both, the number of boys who sat for the examination was

Options:

A . 200

B . 450

C . 150

D . 400

Answer: Option B
Answer: (b)Successful boys in English or Maths or both = 80 + 85 – 75 = 90%Unsuccessful boys = 10%Total number of boys = $100/10 × 45$ = 450

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