In a class of 40 students, 32 offer Mathematics, 24 offer Physics and 4 offer neither Mathematics nor Physics. How many offer both Mathematics and Physics?
A
4
B
8
C
16
D
20
Verified Correct Answer: D.
Step-by-Step Mathematical Solution
Let the number of people that offer both Mathematics and Physics = y
Then, \((32 - y) + y + (24 - y) + 4 = 40\)
\(60 - y = 40 \implies y = 20\)
\(\therefore\) 20 students offer both Mathematics and Physics.
Source: Myschool Past Questions Archive (Record #46974)