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Question
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 ______.
Options
210
290
180
260
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Solution
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 290.
Explanation:
Total number of persons in a town = 840
⇒ n(U) = 840
Number of persons who read Hindi = 450
⇒ n(H) = 450
Number of persons who read English = 300
⇒ n(E) = 300
Number of persons who read both = 200
⇒ n(H ∩ E) = 200
∴ n(H ∪ E) = n(H) + n(E) – n(H ∩ E)
= 450 + 300 – 200
= 550
n(H' ∩ E') = n(U) – n(H ∪ E)
= 840 – 550
= 290
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