Question

The pie chart depicts the results of a survey conducted to identify the favourite juice of a group of students.

How many students like juices other than that of mango, orange and pineapple if the total number of students is 360?

• A. 70
• B. 80
• C. 65
• D. 60

Answer 1

The correct option is D 60

The angle of the sector representing students who like juices other than that of mango, orange and pineapple
$={360}^{\circ }-({75}^{\circ }+{90}^{\circ }+{135}^{\circ })$
$={60}^{\circ }$
Total number of students = 360
i.e., $\text{The number of students represented by the full circle of}{360}^{\circ }=360$
$\Rightarrow$ No. of students represented by $1^{\circ }$
= $\frac{360}{360}=1$
$\Rightarrow$ No. of students represented by ${60}^{\circ }$ = 1 $\times$ 60 = 60
$\therefore$ 60 students like juices other than that of mango, orange and pineapple.