The given pie chart shows the percentage of students in five schools and the table shows the ratio of boys and girls in each school.

Study the pie chart and table and answer the question that follows.

The below table shows the ratio of girls and boys in the given five schools.

School

Girls : Boys

A

3 ∶ 4

B

2 ∶ 3

C

5 ∶ 3

D

1 ∶ 2

E

4 ∶ 1

If the total number of girls from all five schools is represented as a pie chart, then what will be the measure of the sector angle (to the nearest integer) corresponding to school B?

Question

Question

This question was previously asked in

SSC CGL 2021 Tier-I (Held On : 12 April 2022 Shift 3)

Answer 1

Given:

There is the percentage of students in five schools in the given pie chart and the table shows the ratio of boys and girls in each school.

Concept used:

The total angle of a pie chart = 360°

Calculation:

Let, the total number of students = 100

So, the total students of each schools are:

A = 28; B = 15; C = 24; D = 18; E = 15

Then, the total number of girl student in school B = (2/5) × 15 = 6

The total number of girl student in all schools = [(3/7) × 28 + (2/5) × 15 + (5/8) × 24 + (1/3) × 18 + (4/5) × 15]

= 12 + 6 + 15 + 6 + 12

= 51

The angle = \(\frac{Number of girls in school B}{Total number of girls} \times 360\)

⇒ (6/51) × 360 = 42.35...° ≈ 42° (the nearest integer)

∴ The measure of the sector angle (to the nearest integer) will be 42°