In the figure given below, the three circles show the people of a club who like reading, music and travel; each number is the number of people in that region.
How many people like music?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 29
Everyone who likes music lies somewhere inside the Music circle, so all four regions of that circle are added, the shared ones included.
Music only: 14
Music and reading, not travel: 6
Music and travel, not reading: 7
All three: 2
Total \(=14+6+7+2=29\)
Checking the other options
Option (1): 14 — Incorrect. This is the number who like music only; the shared regions of the Music circle are left out.
Option (3): 27 — Incorrect. This leaves out the 2 people in the centre, who like all three and so like music too.
Option (4): 22 — Incorrect. This leaves out the 7 people who like music and travel but not reading.