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An investigator interviewed 100 students to determine their preferences for the three drinks: milk (M), coffee (C) and tea (T). He reported the following: 10 students had all the three drinks M, C, T; 20 had M and C only; 30 had C and T; 25 had M and T; 12 had M only; 5 had C only; 8 had T only. How many did not take any of the three drinks? (A) 10 (B) 20 (C) 25 (D) 28 (E) Can’t be determined

An investigator interviewed 100 students to determine their preferences for the three drinks: milk (M), coffee (C) and tea (T). He reported the following: 10 students had all the three drinks M, C, T; 20 had M and C only; 30 had C and T; 25 had M and T; 12 had M only; 5 had C only; 8 had T only. How many did not take any of the three drinks?
(A) 10
(B) 20
(C) 25
(D) 28
(E) Can’t be determined

Grade:11

2 Answers

AAYUSH KESHAVA
22 Points
11 years ago

TOTAL NO. OF STUDENTS i e n(MUTUC)=10+20+30+25+12+5+8=101

BUT THERE ARE ONLY 100 STUDENTS SO, (E)

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GAURAV AGRAWAL
29 Points
11 years ago

ANSWER IS (A)-10.AS 10 STUDENTS TAKE ALL DRINKS,SO 10 WILL BE SUBTRACTED FROM  INTERSECTION OF C AND T,M AND T,NOT FROM M AND C.SO,AFTER ALL THIS,DO,100-12-8-5-10-20-20-15=10,SO ANSWER IS10. 

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