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
Correct Answer: Option D
Explanation
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.
There is an explanation video available below.