An investigator interviewed 100 students to determine the performance of three drinks: that 10 students take all three drinks milk, milk, coffee and tea. The investigator reported coffee and tea; 20 students take milk and coffee: 25 students take milk and tea; 20 students take coffee and tea; 12 students take milk only; 5 students take coffee only and 8 students take tea only. then the number of students who did not take any of three drinks is

Explanation

Correct option is `D. 30`

Let,

`n(M)` number of students who drink milk only

`n(T)` number of students who drink tea only

`n(C)` number of students who drink coffee only

Given:

`n(M)=12,n(C)=5 and n(T)=8, n(M∩C∩T)=10`

`⇒n(M∩C)=20−n(M∩C∩T)=20−10=10`

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