1.

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 A. 210  B. 290 C. 180 D. 260

Answer»

B. 290

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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