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Venn Diagrams · Question 26 of 65

The diagram shows the games played by students in a hostel.

Question 26

EasyOriginal question

The diagram shows the games played by students in a hostel. How many students in the hostel play none of the three games?

Venn diagram of three overlapping circles labelled Cricket, Football and Hockey inside a box labelled Students in a hostel. Only Cricket: 20. Only Football: 14. Only Hockey: 6. Cricket and Football only: 9. Cricket and Hockey only: 4. Football and Hockey only: 3. All three: 2. Outside all three: 12.
Options for question 26

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Students who play none of the games are inside the box but outside every circle.

  2. That number is 12.

Worth noting

58 counts the students who play at least one game and 70 is the whole hostel. 0 ignores the number written outside the circles.

Concept
Reading the region outside all circles
Typical time
40 s
Your time
—
The rule this testsReading a labelled diagram
Practise this chapter →

Ten questions from Venn Diagrams, at your own pace.

Practise this chapter →

Ten questions from Venn Diagrams, at your own pace.