Question

Out of 80 students in a class, 25 are studying commerce, 15 mathematics and 13 physics. 3 are studying commerce and mathematics, 4 are studying mathematics and physics and 2 are studying commerce and physics. 1 student is studying all the three subjects together. How many students are not studying any of the three subjects?

• A. 35
• B. 40
• C. 20
• D. 15

Answer 1

The Correct Option is A

Total students = 80
Commerce students = 25
Mathematics students = 15
Physics students = 13
We can draw the venn diagram as follows

Total students studying at least one subject =21+1+2+1+9+3+8=45
Students who are not studying any of three subjects =80-45=35
The correct option is (A)