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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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