GCE Mathematics 1989 Question 17

Question 17

Sets

The Venn diagram below shows the number of students who studied Physics, Chemistry, and Mathematics in a certian school. How many students took at least two of the three subjects?

A.165
B.160
C.155
D.135
E.85.

Show the answer and explanation

Answer: B (160)

Explanation

Add the regions that lie in two or more circles: 45 + 75 + 30 + 10 = 160.