In a class of 175 students the following data shows the number of students opting 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
Solution
Students taking only Mathematics and Physics:
\[ 30-18=12 \]
Students taking only Mathematics and Chemistry:
\[ 28-18=10 \]
Students taking Mathematics alone:
\[ 100-12-10-18 \]
\[ =60 \]
Answer
\[ \boxed{60} \]
Correct option: (c)