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Venn Diagrams · Question 45 of 65

Question 45

EasyOriginal question

Each of the 50 members of a music club plays the tabla, the harmonium or both. If 32 play the tabla and 27 play the harmonium, how many play both?

Options for question 45

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Tabla + harmonium =32+27=59= 32 + 27 = 59, but there are only 50 members.

  2. The extra 9 have been counted twice, so 9 play both.

Worth noting

23 and 18 are the numbers who play only the tabla and only the harmonium. 59 is the sum before removing the double count.

Concept
Finding the overlap from the total
Typical time
35 s
Your time
—
The rule this testsCounting with overlapping sets
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