Home Maths Set Theory and Relations General In a survey conducted on 800 students of a s…
Maths Set Theory and Relations General Numeric Response
Published on: August 13, 2026

In a survey conducted on 800 students of a school, 250 students were found to like tea and 300 like coffee, 150 like both tea and coffee. Find how many students like neither tea nor coffee?

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Verified by Experts
The correct answer is:
400

(400)

Let
be the set of all students who took part in the survey, be the set of students who like tea, and
be the set of students who like coffee.
According to the question,

To find the number of students taking neither tea nor coffee i.e., we have to find

Hence, 400 students like neither tea nor coffee.

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