From 50 students taking examinations in Mathematics, Physic… | CGP Edu

Maths Set Theory and Relations Practical Problems on Union and Intersection of Two Sets Single Correct MCQ

Published by: CGP EDU Academic Team

Published on: August 13, 2026

From 50 students taking examinations in Mathematics, Physics and Chemistry, 37 passed Mathematics, 24 Physics and 43 Chemistry. At most 19 passed Mathematics and Physics, at most 29 passed Mathematics and Chemistry and at most 20 passed Physics and Chemistry. The largest possible number that could have passed all three examinations is

A

11

B

12

C

13

D

14

Text Solution

Verified by Experts

The correct answer is:

Let and be the sets of students taking examinations in Mathematics, Physics and Chemistry respectively.
,

We have

.

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