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In a club of ...

Question

In a club of 70 members 30 play tennis but not cricket and 55 play tennis How many members play cricket but not tennis? (Each member plays either Tennis or Cricket)

A

15

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B

20

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C

30

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D

40

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Solution

The correct option is A 15
We can draw a Venn Diagram to solve this.
As $30$ play only Tennis but not cricket, we first write $30$ in the circle for Tennis, but as $55$ in all play Tennis, $55 - 30 = 25$ play both cricket and Tennis.
As the total members are $70$ , so number of members who play only cricket $= 70 - 30 - 25 = 15$

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