In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like neither tea nor coffee?(a) 20(b) 40(c) 50(d) 60The question was asked during a job interview.My question is taken from Venn Diagrams topic in section Sets of Mathematics – Class 11

In a population of 100 persons, 40 persons like tea and 30 persons lik

1.	In a population of 100 persons, 40 persons like tea and 30 persons like coffee. 10 persons like both of them. How many persons like neither tea nor coffee?(a) 20(b) 40(c) 50(d) 60The question was asked during a job interview.My question is taken from Venn Diagrams topic in section Sets of Mathematics – Class 11
Answer» RIGHT option is (b) 40 For explanation: Given, a + b + c + d = 100, a + c = 40, b + c = 30, c = 10 b+10=30 => b=20 a + b + c = 40+20 = 60 d+60=100 => d=40 i.e. 40 persons LIKE NEITHER TEA nor coffee.

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