An investigator interviewed 100 students to determine the performance of three drinks: milk, coffee, and tea. The investigator report that 10 students take all three drinks, 20 had milk and coffee, 30 had coffee and tea; 25 students take milk 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 drink is

10

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20

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25

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30

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Solution

The correct option is B $20$
Number of students who can take any drink

$= 12 + 5 + 8 + 10 + (20 - 10) + (25 - 10) + (30 - 10)$

$= 80$

Number of students who did not take any drink

$= 100 - 80$

$= 20$

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Similar questions

Q. An investigator interviewed 100 students to determine the performance of three drinks: milk, coffee and tea. The investigator reported that 10 students take all three drinks milk, coffee and tea; 20 students take milk and coffee; 25 students take milk 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
(a) 10
(b) 20
(c) 25
(d) 30

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In a class of 100 students, 12 students drink only milk and 5 students drink only coffee and 8 students drink only Tea. Other report says 30 students take both coffee and tea, 25 students take milk and tea and 20 students take only milk and coffee. 10 students drink all the three. Find the number of students who do not drink anything.

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The correct option is B 20Number of students who can take any drink=12+5+8+10+(20−10)+(25−10)+(30−10)=80Number of students who did not take any drink=100−80=20

The correct option is B $20$
Number of students who can take any drink

$= 12 + 5 + 8 + 10 + (20 - 10) + (25 - 10) + (30 - 10)$

$= 80$

Number of students who did not take any drink

$= 100 - 80$

$= 20$