SOLUTION:

Its a question that tests on basics of set theory and overlapping sets in particular.

Let "x" be the number of people enjoying BOTH skiing and skating.

Thus, number of people enjoying ONLY Skiing = (60 - x)

Thus, number of people enjoying ONLY Skating=( 80 - x)

Given, the number of people who enjoy NEITHER skiing or skating = 2x

Thus, 200 = (60-x) + x +(80-x) +2x

=> x = 60 and number of people NOT skiing or skating = 2x =2 x 60 =120 (OPTION E)

## According to a survey of 200 people, 60 enjoy skiing and 80 enjoy skating. If the number of people who enjoy neither skiing nor skating is 2 times the number of people who enjoy both skiing and skating, how many people surveyed enjoy neithe Print

Modified on: Tue, 12 Oct, 2021 at 3:56 PM

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