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?

A) 35

B) 48

C) 60

D) 22

Correct Answer: C

Solution :

[c] \[n\,(M\,\text{alone})=n\,(M)-n\,(M\cap C)\] \[-n\,(M\cap P)+n\,(M\cap P\cap C)\] \[=100-28-30+18\] \[=60\]