Question

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

Answer 1

Answer: (C)

60

Answer 2

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