Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Data Interpretation & Stats

Question:

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 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?

Options:

48°

32°

58°

42°

Correct Answer:

42°

Explanation:

Number of girls in all the five school = \(\frac{3}{7}\) × 28 + \(\frac{2}{5}\) × 15 + \(\frac{5}{8}\) × 24 + \(\frac{1}{3}\) × 18 + \(\frac{4}{5}\) × 15

= 12 + 6 + 15 + 6 + 12 = 51

Sector angle corresponding to school B for girls = \(\frac{6}{51}\) × 360º

= 42.35º

= 42º   ( nearest integer )