A dinner party is to be fixed for a group of 100 persons In this party 50 persons do not prefer fish...........

Logical Reasoning(Master ) Logical Venn Diagrams

A dinner party is to be fixed for a group of 100 persons. In this party, 50 persons do not prefer fish, 60 prefer chicken and 10 do not prefer both. Find the number of people who prefer both fish and chicken.

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Explanation:

Let A be the set of persons who prefer Veg and B be the set of persons who prefer Non-veg.
Solve by using set theory
n(A U B) = 100 - 10 = 90
n(A) = 100 - 50 = 50
and n(B) = 60
Therefore
n(A Inter B) = n(A) + n(B) - n(A U B)
= 50+60 - 90) = 20

Hence, option 1 is the correct asnwer.