CONCEPT:

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

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) **