Paper 1 · Mathematical Reasoning and Aptitude
ArtistsPlayersDoctors30251722483Using the same diagram (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 both players and artists?
A22
B8
C3 ✓ Correct
D30
Correct answer: (C) 3 — 3 doctors are both players and artists, so that is the answer.
Explanation
★3 doctors are both players and artists, so that is the answer.
★Doctors who are both players and artists lie where all three circles overlap.
★This is the central region common to Artists, Players and Doctors.
★The diagram gives this all-three region as 3.
★So only that central value answers the question.
★So 3 doctors are both players and artists.
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