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In a survey of 250 persons it was found that 87 subscribed to The NYT, 61 subscribed to The TOI and 21 subscribed to The Guardian. A total of 36 subscribed to at least two of these newspaper and 13 subscribed to all three. How many persons did not subscribe to any of the three?

In a survey of 250 persons it was found that 87 subscribed to The NYT, 61 subscribed to The TOI and 21 subscribed to The Guardian. A total of 36 subscribed to at least two of these newspaper and 13 subscribed to all three. How many persons did not subscribe to any of the three? Correct Answer 130

Calculation:

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⇒ Let a = Who subscribed NYT and TOI both

⇒ b = Who subscribed NYT and TG both

⇒ c = Who subscribed TG and TOI both

A/c to question.

⇒ a + b + c + 13 = 36

⇒ a + b + c = 23

⇒ total no. of subscribers = (74 - a - b) + (48 - a - c) + (8 - b - c) + (a + b + c) + 13

⇒ 143 – (a + b + c) = 143 – 23 = 120                                   

⇒ Person who didn’t subscribe any of three             

⇒ 250 – 120 = 130

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