In the figure given below, the three circles show the students of a college who are members of the Science, Quiz and Drama clubs; each number is the number of students in that region.
How many students are members of exactly one club?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 38
A student who is in exactly one club stands in a part of one circle that lies outside the other two circles. All the shared regions are left out.
Science only: 16
Quiz only: 12
Drama only: 10
Total \(=16+12+10=38\)
Checking the other options
Option (1): 16 — Incorrect. This adds the regions shared by exactly two circles (5 + 7 + 4).
Option (2): 18 — Incorrect. This adds the regions shared by two or three circles.
Option (4): 56 — Incorrect. This is the number of students in all the regions together.