SECTION – 1

21. A survey shows that 61%, 46% and 29% of the people watched "3 idiots", "Rajneeti" and "Avatar" respectively. 25% people watched exactly two of the three movies and 3% watched none. What percentage of people watched all the three movies?

A. 39% B. 11% C. 14% D. 7%

Solution:

We know that,

Exactly 1 + 2 exactly 2 + 3 exactly 3 = 61 + 46 + 29 = 136% ® ①

Exactly 1 + exactly 2 + exactly 3 = 100 – 3 = 97% ® ②

① + ② Þ exactly 2 + 2 exactly 3 = 39

exactly 2 = 25 Þ 25 + 2 exactly 3 = 39

Þ exactly 3 = 7%

\ 7% of people watched all the movies. Choice (D)