Question

A survey of 500 television watchers produced the following information; 285 watch badminton, 195 watch chess, 115 watch cricket, 45 watch badminton and cricket, 70 watch badminton and chess, 50 watch chess and cricket 50 do not watch any of the three games. How many watch all the three games? How many watch exactly one of the three games?

• A. 10, 360
• B. 20, 325
• C. 24, 352
• D. 40, 440

Answer 1

The correct option is B 20, 325


Total people watching atleast 1 of thes
= 500-50 = 450
$\Rightarrow$ 450 = (x+170)+(x+75)+(x+20)+(70-x)+(45-x)+(50-x)+x
$\Rightarrow$ x = 20
People watching exactly one = x+170+x+75+x+20
= 3x+265 = 325