question_answer

A class has 175 students. The following data shows the number of students obtaining one or more subjects. Mathematics 100, Physics 70, Chemistry 40; Mathematics and Physics 30, Mathematics and Chemistry 28, Physics and Chemistry 23; Mathematics, Physics and Chemistry 18. How many students have offered Mathematics alone [Kerala (Engg.) 2003]

A) 35

B) 48

C) 60

D) 22 30

Correct Answer: C

Solution :

n(M alone)\[=n(M)-n(M\cap C)-n(M\cap P)+n(M\cap P\cap C)\] \[=100-28-30+18=60\].