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?

Question

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 %

Tardigrade Admin · Accepted Answer

The given condition is as follows- <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/b22601b40fde5fb9f4014f6860f896cf-.png" /> We know that (a+d+e+g)+(b+d+f+g)+ (c+e+f+g) -(d+e+f)-2 g=a+b+c+d+e+f+g or 61 x+46 x+29 x-25 x-2 g=97 x or 2 g =14 x or g =7 x

Q. 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?

$39%$

$11%$

$14%$

$7%$

The given condition is as follows-

We know that ${(a + d + e + g) + (b + d + f + g) +$
$(c + e + f + g)} - (d + e + f) - 2 g = a + b + c + d + e + f + g$
or $61 x + 46 x + 29 x - 25 x - 2 g = 97 x$
or $2 g = 14 x$ or $g = 7 x$

Q. 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?

39%

11%

14%

7%