GATE 2010 CS (CS1) – Question 4

General Aptitude · Quantitative Aptitude: Data Interpretation, Arithmetic and Number Computation · 1 mark · Multiple choice

In a room of 25 people, 15 play hockey, 17 play football, and 10 play both. How many play neither?

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Correct answer: (D) 3

Explanation

By inclusion–exclusion the number playing at least one sport is 15+17−10=22. Subtracting from the room total gives 25−22=3 who play neither. Thus D; subtracting both sport counts without correcting the overlap would double-count ten people.

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