Paper 1 · Mathematical Reasoning and Aptitude
ArtistsPlayersDoctors30251722483In the diagram, the Artists, Players and Doctors circles have these values: Artists only 30, Players only 25, Doctors only 17, Artists and Players only 22, all three 3, Players and Doctors only 8, Artists and Doctors only 4. How many doctors are neither artists nor players?
A17 ✓ Correct
B5
C10
D30
Correct answer: (A) 17 — 17 doctors are neither artists nor players, so that is the answer.
Explanation
★17 doctors are neither artists nor players, so that is the answer.
★Doctors who are neither artists nor players lie in the doctors-only region.
★This is the part of the doctors circle that overlaps no other circle.
★The diagram gives this doctors-only region as 17.
★So that region alone answers the question.
★So 17 doctors are neither artists nor players.
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