Q36 of 58 Page 12

In a town of 840 persons, 450 persons read Hindi, 300 read English and 200 read both. Then the number of persons who read neither is

Given:


Total number of persons are 840


Persons who read Hindi and English are 450 and 300 respectively


Persons who read both are 200


To find: number of persons who read neither


Let U be the total number of persons, H and E be the number of persons who read Hindi and English respectively


n(U) = 840, n(H) = 450, n(E) = 300, n(H ∩ E) = 200


Number of persons who read either of them = n(H ∪ E)


= n(H) + n(E) – n(H ∩ E)


= 450 + 300 – 200


= 550


Number of persons who read neither


= Total – n(H ∪ E)


= 840 – 550


= 290


Hence, there are 290 persons who read neither Hindi nor English.

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