Electronics and Communication Engineering - Exam Questions Papers - Discussion

2. 

25 persons are in a room. 15 of them play hockey, 17 of them play football and 10 of them play both hockey and football. Then the number of persons playing neither hockey nor football is:

[A]. 2
[B]. 17
[C]. 13
[D]. 3

Answer: Option D

Explanation:

Representing the given information in the Venn diagrams, we have

Let the number of people who play only hockey = a

The number of people who play only football = b

Now, a = n(H) - 10 = 15 - 10 = 5

b = n(F) - 10 = 17 - 10 = 7

Clearly, a + b + 10 + n = 25

n = 25 - 7 - 5 -10 ⇒ n = 3

The number of people who do not play neither Hockey nor Football is 3.


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