Question Bank - General Aptitude

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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

Solution:

Given:Total number of people in the room = 25Number of people who play Hockey = 15Number of people who play Football = 17Number of people who play both = 10Calculation:Number of people who play only Hockey = 15 - 10 = 5Number of people who play only Football = 17 - 10 = 7? ? The total number of person who play either of the two = 5 + 10 + 7 = 22? The number of persons playing neither hockey nor football = 25 - 22 = 3? The required result will be 3.The number of persons playing neither hockey nor football = ? - n(A ? B) - n(A) - n(B)The number of persons playing neither hockey nor football = 25 - 10 - 7 - 5The number of persons playing neither hockey nor football = 3

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