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
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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
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
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.