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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

AAYUSH KESHAVA
22 Points
8 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)

GAURAV AGRAWAL
29 Points
8 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.