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Venn Diagrams · Question 48 of 65

Question 48

EasyOriginal question

Of the 32 members of a society who play carrom, 8 also play chess but not ludo, 5 also play ludo but not chess, and 3 play all three games. How many members play only carrom?

Options for question 48

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Split the 32 carrom players: 8 (with chess only), 5 (with ludo only), 3 (all three) and the rest.

  2. Only carrom =32−8−5−3=16= 32 - 8 - 5 - 3 = 16.

Worth noting

19 forgets the 3 who play all three; they also play carrom. 13 subtracts the 3 twice.

Concept
Removing the shared regions from one circle
Typical time
40 s
Your time
—
The rule this testsCounting with overlapping sets
Practise this chapter →

Ten questions from Venn Diagrams, at your own pace.

Practise this chapter →

Ten questions from Venn Diagrams, at your own pace.