Question 37

In a group of 20 people, 8 read Hindi, 11 read English while 5 of them read none of these two. How many of them read Hindi and English both ?

Solution

Given,

n(h) = 8, n(e) = 11, n(e $$\cup$$ h) = 20 - 5 = 15......(1)

Where, n(h) = number of people who can read Hindi,

n(e) = number of people who can read English

n(e $$\cup$$ h) = Total number of people who can read both English and Hindi

n(e $$\cap$$ h) = n(e) + n(h) - n(e $$\cup$$ h).....(2)

Substitute equation (1) in (2)

n(e $$\cap$$ h) = 8 + 11 - 15 = 4

Hence, option C is the correct answer.

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