Home Maths Set Theory and Relations General An investigator interviewed 100 students to …
Maths Set Theory and Relations General Single Correct MCQ
Published on: August 13, 2026

An investigator interviewed 100 students to determine their preferences for the three drink: milk (M), coffee

A
20
B
16
C
and tea (T). He reported the following : 10 students had all the three drinks M, C and T; 20 had M and C; 30 had C and T; 25 had M and T; 12 had M only; 5 had C only; and 8 had T only . Find how many did not take any of the three drinks. 25
D
80

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Text Solution

Verified by Experts
The correct answer is:
A

n(U) = 100

n(M C T) = 10;n(M C) = 20;

n(C T) = 30; n(M T) = 25;

n(M only ) = 12; n(only C ) = 5; n(only T ) = 8

∴ n(M C T) = 12+10+5+15+10+20+8 = 80

∴ n(M C T)' = 100 – 80 = 20

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