Study Notes: Pie Chart Questions in DI

Pie Charts

Introduction

Pie Chart is a circular form of Data representation. In this, the circle is divided into sectors either per cent-wise or degree-wise. In the per cent-wise division, the total area of the chart is taken to be 100% and in the degree-wise division, the total area of the chart is taken to be 360^o.

Sample Question

Directions: Study the following pie chart and answer the questions that follow:

Total Number of Teachers = 6400

(Uttar Bihar Gramin Bank 2012)

Question 1: If one-thirty-sixth of the number of teachers from university F is professors and the salary of each professor is Rs 96000, what will be the total salary of all the professors together from university F?

[1] Rs. 307.2 lakh

[2] Rs. 32.64 lakh

[3] Rs. 3.072 lakh

[4] Rs. 3.264 lakh

[5] None of these

Solution:-

Number of teachers from university F = 18% of 6400 = 1152

1/36 of 1152 = 32

Total salary = 32*96000 = 3072000 = 30.72 lakh. Answer [5] is correct. (Note the tricky options [1] and [2])

Question 2: The difference between the total number of teachers in University A, B, and C together and the total number of teachers in university D, E, and F together is exactly equal to the number of teachers in which university?

[1] A

[2] B

[3] C

[4] D

[5] F

(You don’t even have to calculate the number of teachers. Just presence of mind is needed.)

Solution:-

Number of teachers in university A, B and C = 11+17+19 = 47%

Number of teachers in university D, E and F = 6+29+18 = 53%

Difference = 6% = University D. Answer [4] is correct.

Question 3: What is the average of teachers in universities A, C, D and F together?

[1] 854

[2] 3546

[3] 3456

[4] 874

[5] None of these

Solution:-

Again, solving it quickly.

11+19+6+18 = 54%. Average = 54/4 % = [54/400]*6400 = 54*16 = 864.

Answer [5] is correct.

Question 4: If twenty-five percent of the number of teachers in university C is female, what is the number of male teachers in university C?

[1] 922

[2] 911

[3] 924

[4] 912

[5] None of these

Solution:-

Number of teachers in university C = 19% of 6400 = 19*64 = 1216

25% of this is female. Hence remaining 75% is male.

Number of male teachers = 75% of 1216 = [3/4]*1216 = 912. Option [4] is correct.

Question 5: Number of teachers in university B is approximately what percent of the total number of teachers in university D and E together?

[1] 55%

[2] 59%

[3] 49%

[4] 45%

[5] 65%

Solution:-

Just solve the percentages.

University B = 17%. University D+E = 6+29 = 35%

Required percentage = [17/35]*100 = approx. 49%. Answer is [3]

Practice is the only way to increase your attempts in the exam and it will also help you improve your speed as well as calculation skills. Try to attempt a lot of sets of Data Interpretation to analyze your preparation level.

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