Question
Mathematics Question on Number Systems
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
35
Explanation
Solution
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)