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Question

# In a class, 25 children play cricket, 25 play hockey and 28 play Football. All the students play at least one of the games. 24 children play at least 2 of the games and 12 children play all the games. If it is known that number of students playing Hockey and Football only is 4. Find the number of students playing only cricket.

A
5
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B
9
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C
13
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D
Cannot be determined
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Solution

## The correct option is A 5 Let x be the number of children playing only cricket a+b =12-4 = 8 Thus 25 =12+8+x ⇒ x= 5.

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