This lesson gives each rule, the reason it works and seven worked examples. It also lists the traps that cost marks.
Read the Article: Pie Chart: Formulas, Shortcuts and Solved Examples →
0 / 25 correct · click an option to check it · +0 pts today
Q1.
Distribution of Students by Specialization in an MBA Programme
Total = 6000 students
What is the difference between the number of students on IT and that on Analytics?
Show answer and explanation
Answer: D
The chart shows IT is 26% of the total, and Analytics is 16%. IT = 26% of 6000 = 1560. Analytics = 16% of 6000 = 960. Difference = 1560 – 960 = 600.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q2.
Distribution of Students by Specialization in an MBA Programme
Total = 6000 students
On which item was the lowest number of students?
Show answer and explanation
Answer: C
The chart shows these shares: IT = 26%, HR = 15%, Analytics = 16%, Operations = 10%, Finance = 33%. Compare all five percentages to find the smallest one. Operations has the lowest share, at 10%. So Operations had the lowest number of students.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q3.
Distribution of Students by Specialization in an MBA Programme
Total = 6000 students
What is the central angle (in degrees) for HR in this pie chart?
Show answer and explanation
Answer: D
A pie chart’s full circle always measures 360 degrees. Each slice’s angle equals its percentage share of those 360 degrees. The chart shows HR is 15% of the total. So the central angle for HR = 15% of 360 degrees. 15% of 360 = 15 x 3.6 = 54 degrees.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q4.
Distribution of Students by Specialization in an MBA Programme
Total = 6000 students
The number of students on HR is approximately what percentage of the number of students on Analytics?
Show answer and explanation
Answer: B
The chart shows HR is 15% of the total, and Analytics is 16%. We need HR’s share as a percentage of Analytics’s share. Percentage = (15 / 16) x 100 ~ 94%. So the number of students on HR is about 94% of that on Analytics.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q5.
Company Annual Expenditure
Total = Rs. 10000 lakh
What is the central angle (in degrees) for Salaries in this pie chart?
Show answer and explanation
Answer: B
A pie chart’s full circle always measures 360 degrees. Each slice’s angle equals its percentage share of those 360 degrees. The chart shows Salaries is 29% of the total. So the central angle for Salaries = 29% of 360 degrees. 29% of 360 = 29 x 3.6 = 104.4 degrees.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q6.
Company Annual Expenditure
Total = Rs. 10000 lakh
What percentage of the total expenditure is accounted for by R&D and Logistics together?
Show answer and explanation
Answer: A
The chart shows R&D is 25% of the total, and Logistics is 17%. Together they account for 25 + 17 = 42% of the total. So R&D and Logistics combined make up 42% of the total expenditure.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q7.
Company Annual Expenditure
Total = Rs. 10000 lakh
The expenditure on Salaries is approximately what percentage of the expenditure on R&D?
Show answer and explanation
Answer: C
The chart shows Salaries is 29% of the total, and R&D is 25%. We need Salaries’s share as a percentage of R&D’s share. Percentage = (29 / 25) x 100 ~ 116%. So the expenditure on Salaries is about 116% of that on R&D.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q8.
Company Annual Expenditure
Total = Rs. 10000 lakh
What is the ratio of the expenditure on Logistics to that on Marketing?
Show answer and explanation
Answer: A
The chart shows Logistics is 17% of the total, and Marketing is 13%. Their ratio is 17 : 13. Divide both numbers by their HCF to write it in lowest terms. 17 : 13 = 17 : 13, i.e. 17 : 13.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q9.
Company Annual Expenditure
Total = Rs. 3000 lakh
What was the expenditure on Raw Materials?
Show answer and explanation
Answer: A
The chart shows Raw Materials makes up 22% of the total expenditure. The total expenditure is 3000. 22% of 3000 = 22 x 3000 / 100 = 660. So the expenditure on Raw Materials is 660.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q10.
Company Annual Expenditure
Total = Rs. 3000 lakh
What is the difference between the expenditure on R&D and that on Taxes?
Show answer and explanation
Answer: D
The chart shows R&D is 12% of the total, and Taxes is 21%. R&D = 12% of 3000 = 360. Taxes = 21% of 3000 = 630. Difference = 630 – 360 = 270.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q11.
Company Annual Expenditure
Total = Rs. 3000 lakh
What percentage of the total expenditure is accounted for by Marketing and Taxes together?
Show answer and explanation
Answer: A
The chart shows Marketing is 29% of the total, and Taxes is 21%. Together they account for 29 + 21 = 50% of the total. So Marketing and Taxes combined make up 50% of the total expenditure.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q12.
Company Annual Expenditure
Total = Rs. 3000 lakh
What is the total expenditure on R&D and Taxes together?
Show answer and explanation
Answer: D
The chart shows R&D is 12% of the total, and Taxes is 21%. R&D = 12% of 3000 = 360. Taxes = 21% of 3000 = 630. Together, R&D + Taxes = 360 + 630 = 990.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q13.
Company Annual Expenditure
Total = Rs. 3000 lakh
What is the ratio of the expenditure on Rent to that on R&D?
Show answer and explanation
Answer: C
The chart shows Rent is 16% of the total, and R&D is 12%. Their ratio is 16 : 12. Divide both numbers by their HCF to write it in lowest terms. 16 : 12 = 4 : 3, i.e. 4 : 3.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q14.
Distribution of Students by Specialization in an MBA Programme
Total = 8000 students
What is the ratio of the number of students on Operations to that on Finance?
Show answer and explanation
Answer: D
The chart shows Operations is 28% of the total, and Finance is 21%. Their ratio is 28 : 21. Divide both numbers by their HCF to write it in lowest terms. 28 : 21 = 4 : 3, i.e. 4 : 3.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q15.
Distribution of Students by Specialization in an MBA Programme
Total = 8000 students
What was the number of students on Finance?
Show answer and explanation
Answer: C
The chart shows Finance makes up 21% of the total number of students. The total number of students is 8000. 21% of 8000 = 21 x 8000 / 100 = 1680. So the number of students on Finance is 1680.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q16.
Distribution of Students by Specialization in an MBA Programme
Total = 8000 students
What is the total number of students on Analytics and Operations together?
Show answer and explanation
Answer: C
The chart shows Analytics is 15% of the total, and Operations is 28%. Analytics = 15% of 8000 = 1200. Operations = 28% of 8000 = 2240. Together, Analytics + Operations = 1200 + 2240 = 3440.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q17.
Distribution of Students by Specialization in an MBA Programme
Total = 8000 students
What percentage of the total number of students is accounted for by IT and Finance together?
Show answer and explanation
Answer: B
The chart shows IT is 25% of the total, and Finance is 21%. Together they account for 25 + 21 = 46% of the total. So IT and Finance combined make up 46% of the total number of students.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q18.
Distribution of Students by Specialization in an MBA Programme
Total = 8000 students
What is the difference between the number of students on IR and that on Finance?
Show answer and explanation
Answer: C
The chart shows IR is 11% of the total, and Finance is 21%. IR = 11% of 8000 = 880. Finance = 21% of 8000 = 1680. Difference = 1680 – 880 = 800.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q19.
Company Revenue by Product Line
Total = Rs. 6000 crore
The revenue on Product D is approximately what percentage of the revenue on Product C?
Show answer and explanation
Answer: A
The chart shows Product D is 29% of the total, and Product C is 12%. We need Product D’s share as a percentage of Product C’s share. Percentage = (29 / 12) x 100 ~ 242%. So the revenue on Product D is about 242% of that on Product C.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q20.
Company Revenue by Product Line
Total = Rs. 6000 crore
What is the central angle (in degrees) for Product B in this pie chart?
Show answer and explanation
Answer: D
A pie chart’s full circle always measures 360 degrees. Each slice’s angle equals its percentage share of those 360 degrees. The chart shows Product B is 22% of the total. So the central angle for Product B = 22% of 360 degrees. 22% of 360 = 22 x 3.6 = 79.2 degrees.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q21.
Distribution of Students by Specialization in an MBA Programme
Total = 5000 students
What is the difference between the number of students on Finance and that on IR?
Show answer and explanation
Answer: B
The chart shows Finance is 8% of the total, and IR is 24%. Finance = 8% of 5000 = 400. IR = 24% of 5000 = 1200. Difference = 1200 – 400 = 800.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q22.
Distribution of Students by Specialization in an MBA Programme
Total = 5000 students
What percentage of the total number of students is accounted for by IR and Marketing together?
Show answer and explanation
Answer: D
The chart shows IR is 24% of the total, and Marketing is 12%. Together they account for 24 + 12 = 36% of the total. So IR and Marketing combined make up 36% of the total number of students.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q23.
Distribution of Students by Specialization in an MBA Programme
Total = 5000 students
The number of students on IR is approximately what percentage of the number of students on HR?
Show answer and explanation
Answer: B
The chart shows IR is 24% of the total, and HR is 29%. We need IR’s share as a percentage of HR’s share. Percentage = (24 / 29) x 100 ~ 83%. So the number of students on IR is about 83% of that on HR.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q24.
Distribution of Students by Specialization in an MBA Programme
Total = 5000 students
On which item was the highest number of students?
Show answer and explanation
Answer: A
The chart shows these shares: Marketing = 12%, Strategy = 27%, IR = 24%, Finance = 8%, HR = 29%. Compare all five percentages to find the largest one. HR has the highest share, at 29%. So HR had the highest number of students.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples
Q25.
Distribution of Students by Specialization in an MBA Programme
Total = 5000 students
What is the ratio of the number of students on HR to that on IR?
Show answer and explanation
Answer: B
The chart shows HR is 29% of the total, and IR is 24%. Their ratio is 29 : 24. Divide both numbers by their HCF to write it in lowest terms. 29 : 24 = 29 : 24, i.e. 29 : 24.
Related topics: Pie Chart: Formulas, Shortcuts and Solved Examples