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 ?

Options

A. 8
B. 6
C. 4
D. 2

Answer

C

Explanation

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.