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Venn Diagrams · Question 41 of 65

In the hostel sports diagram, what percentage of all the students in the hostel play Cricket?

Question 41

HardOriginal question

In the hostel sports diagram, what percentage of all the students in the hostel play 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 41

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. All students =20+14+6+9+4+3+2+12=70= 20 + 14 + 6 + 9 + 4 + 3 + 2 + 12 = 70.

  2. Cricket players =20+9+4+2=35= 20 + 9 + 4 + 2 = 35.

  3. Percentage =3570×100=50%= \frac{35}{70} \times 100 = 50\%.

Worth noting

The base is the whole hostel, 70, including the 12 who play nothing. Using 58 (only those who play something) gives about 60%. 35 is the count, not the percentage.

Concept
Percentage of a set within the universe
Typical time
120 s
Your time
—
The rule this testsReading a labelled diagram
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