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Venn Diagrams · Question 42 of 65

Question 42

EasyOriginal question

In Meenakshi's class, 25 students like cricket, 18 like chess and 7 like both. Every student likes at least one of the two games. How many students are in the class?

Options for question 42

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Adding 25+1825 + 18 counts the 7 students who like both twice.

  2. Students =25+18−7=36= 25 + 18 - 7 = 36.

Worth noting

43 forgets to remove the double count; 29 removes it twice. 11 is the number who like only chess.

Concept
Inclusion–exclusion for two sets
Typical time
35 s
Your time
—
The rule this testsCounting with overlapping sets
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Ten questions from Venn Diagrams, at your own pace.

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