NIMCET 2019 Question Paper with solutions

Question : 52 of 120

Marks: +1, -0

Statement — I : Out of total of 200 readers, 100 read Indian Express, 120 read Times of India and 50 read Hindu.
Statement — II : Out of a total 200 readers, 100 read Indian Express, 121 reads Times of India and 50 reads neither.
How many people (from the group surveyed) read both Indian Express and Times of India ?

The question can be answered with the help of Statement II, alone.
Both, statement I and statement II are needed to answer the question.
The question can be answered with the help of statement I alone.
The question cannot be answered even with the help of both the statements.

Validate

Solution:

From statement II
Total readers = 200
Number of readers who read Indian Express = 100
Number of readers who read Times of India =121
Number of readers who neither read Indian Express nor
Times of India = 50

∵n(A∪B)=n(A)+n(B)-n(A∩B)

=100+121-(200-50)

=221-150=71

∴ Required number of people who read both Indian
Express and Times of India =71

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