JEE Main 2020MathematicsSets and RelationsMediumMCQ

JEE Main 2020 — Sets and Relations Question with Solution

JEE Main 2020 (04 Sep Shift 1)

Question

A survey shows that 63% of the people in a city read newspaper A whereas 76% read news paper B. If  x% of the people read both the newspapers, then a possible value of x can be:

Choose an option

Show full solutionCorrect option: D
Correct answer
D55

Step-by-step explanation

nA=63

nB=76

nA∩B=x

Let n∪=100

nA∪B=nA+nB−nA∩B≤100

⇒63+76−x≤100

⇒x≥39

But nA∩B≤nA

∴ 39≤x≤63 .

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About this question

This is a previous-year question from JEE Main 2020, covering the Sets and Relations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.