JEE Main 2020MathematicsSets And RelationsVenn DiagrammediumMCQ

JEE Main 2020Sets And Relations Question with Solution

From: JEE Main 2020 (Online) 4th September Morning Slot

Question

A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper 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

JEE Main 2020 (Online) 4th September Morning Slot Mathematics - Sets and Relations Question 91 English Explanation

A B = 63 - x + x + 76 - x = 139 - x

As 139 - x 100

x 39

From venn diagram, you can see x should be less than 76 and 63 otherwise only A newspaper or only B newspaper reader will be negative number.

Intersection of x 63 and x 76 is = x 63.

39 x 63

From options possible value of x = 55.

Practice this on the real CBT interface

Solve this JEE Main question (and the rest of the Sets And Relations chapter) on PrepSharp's TCS iON-style CBT player — with timer, bookmarks and session analytics.

Solve interactively →

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.