Question

A class has $175$students.

The following data shows the number of students obtaining one more subject.

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 been offered Mathematics alone

• A. $35$
• B. $48$
• C. $60$
• D. $22$

Answer 1

The correct option is C

$60$

Find the number of students :

Given the number of students obtaining Mathematics, Physics, and Chemistry$=18$

Now, the number of students obtaining Mathematics and Physics only $=30-18=12$

and the number of students obtaining Mathematics and Chemistry only $=28-18=10$

and the number of students obtaining Physics and Chemistry only $=23-18=5$

From, figure Number of students in mathematics alone

$\begin{array}{rcl}& \Rightarrow & 100-(12+18+10)=100-40=60\end{array}$

Hence, the correct option is (C).