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Venn Diagrams · Question 34 of 65

According to the hostel sports diagram, how many students play Football or Hockey but not Cricket?

Question 34

MediumOriginal question

According to the hostel sports diagram, how many students play Football or Hockey but not Cricket?

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 34

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. Keep regions in Football or Hockey that lie outside Cricket.

  2. Only Football 14, Only Hockey 6, Football and Hockey only 3.

  3. Total =14+6+3=23= 14 + 6 + 3 = 23.

Worth noting

35 also counts the 12 students who play nothing; they are not Cricket players, but they do not play Football or Hockey either. 29 and 38 include regions shared with Cricket.

Concept
Union of two sets minus a third
Typical time
70 s
Your time
—
The rule this testsReading a labelled diagram
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