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
• Correct answer
  C

  60
• D

  22

Solution

$\begin{aligned} & n(\mathrm{M} \text { alone }) \\ &=n(\mathrm{M})-n(\mathrm{M} \cap \mathrm{C})-n(\mathrm{M} \cap \mathrm{P})+n(\mathrm{M} \cap \mathrm{C} \cap \mathrm{P}) \\ &=100-28-30+18=60 \end{aligned}$

Hence, the correct answer is option: 'C'.