Question

A survey was conducted in a society among 600 kids regarding their choice of books. What is the angle made by the science section?

• A. $72{}^{\circ }$
• B. $90{}^{\circ }$
• C. $54{}^{\circ }$
• D. $76{}^{\circ }$

Answer 1

The correct option is A $72{}^{\circ }$

Total number of kids who participated in the survey = 600

Given that 30% of the kids like animation books.
$\text{Number of kids}=\frac{30}{100}\times 600=180$

Also, 25% of the kids like fiction books.
$\text{Number of kids}=\frac{25}{100}\times 600=150$

Kids who like biography = 150

Total number of kids (animation + fiction + biography)
= 180 + 150 + 150 = 480

So,
Number of kids who like science = 600 – 480 = 120

Hence,
Angle subtented by the science section
$=\frac{\text{Number of kids who like science}}{\text{Total kids}}\times 360{}^{\circ }$

$=\frac{\text{120}}{\text{600}}\times 360{}^{\circ }$

$=\frac{\text{1}}{\text{5}}\times 360{}^{\circ }$

$=72{}^{\circ }$