Bar Graph MCQ Quiz - Objective Question with Answer for Bar Graph - Download Free PDF

Last updated on Jun 13, 2025

Latest Bar Graph MCQ Objective Questions

Bar Graph Question 1:

Comprehension:

Direction: The given bar graph shows the number of males and females in offices A,B, C, D and E.

F2 V.G Deepak 04.10.2019 D 3

The data about the total number of females of all five offices is represented by a pie chart. What is the central angle of the sector representing the number of females in office A?

  1. 90°
  2. 50°
  3. 60°
  4. 70°
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 60°

Bar Graph Question 1 Detailed Solution

⇒ Total number of females in all five office = 3000

⇒ 3000 represent = 360°

⇒ Number of females in office A = 500

⇒ 500 will represent = (360°/3000) × 500 = 60°

∴ The central angle is 60o.

Bar Graph Question 2:

Comprehension:

Direction: The given bar graph shows the number of males and females in offices A,B, C, D and E.

F2 V.G Deepak 04.10.2019 D 3

The number of females in office B is what percent more than the number of females in office A?

  1. 20%
  2. 30%
  3. 40%
  4. 50%
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 40%

Bar Graph Question 2 Detailed Solution

⇒ Number of females in office B = 700

⇒ Number of females in office A = 500

∴ Required percentage = (700 – 500)/500 × 100 = 40%

Bar Graph Question 3:

Comprehension:

Direction: The given bar graph shows the number of males and females in offices A,B, C, D and E.

F2 V.G Deepak 04.10.2019 D 3

What is the average number of females in all five offices?

  1. 500
  2. 600
  3. 700
  4. 400
  5. None of the above

Answer (Detailed Solution Below)

Option 2 : 600

Bar Graph Question 3 Detailed Solution

⇒ Number of females in office A = 500

⇒ Number of females in office B = 700

⇒ Number of females in office C = 400

⇒ Number of females in office D = 500

⇒ Number of females in office E = 900

⇒ Total females in all five offices = 500 + 700 + 400 + 500 + 900 = 3000

∴ Average required = 3000/5 = 600

Bar Graph Question 4:

Comprehension:

Direction: The given bar graph shows the number of males and females in offices A,B, C, D and E.

F2 V.G Deepak 04.10.2019 D 3

What is the ratio of the total males to total females in all five offices?

  1. 31 : 30
  2. 32 : 30
  3. 34 : 32
  4. 23 : 19
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : 31 : 30

Bar Graph Question 4 Detailed Solution

⇒ Total numbers of females in all five offices = 3000

⇒ Number of males in office A = 600

⇒ Number of males in office B = 800

⇒ Number of males in office C = 500

⇒ Number of males in office D = 400

⇒ Number of males in office E = 800

⇒ Total number of males in all five offices = 600 + 800 + 650 + 400 + 800 = 3100

∴ Required ratio = 3100 : 3000 = 31 : 30

Bar Graph Question 5:

Comprehension:

Direction: The given bar graph shows the number of males and females in offices A,B, C, D and E.

F2 V.G Deepak 04.10.2019 D 3

In which office the difference between the percentage of males and females is minimum?

  1. A
  2. B
  3. D
  4. E
  5. None of the above

Answer (Detailed Solution Below)

Option 4 : E

Bar Graph Question 5 Detailed Solution

⇒ Percentage of males in office A = (600/1100) × 100 = 54.54%

⇒ Percentage of females in office A = (500/1100) × 100 = 45.45%

∴ Required difference = 54.54% – 45.45% = 9.09%

⇒ Percentage of males in office B = (800/1500) × 100 = 53.33%

⇒ Percentage of females in office B = (700/1500) × 100 = 46.66%

∴ Required difference = 53.33% – 46.66% = 6.67%

⇒ Percentage of males in office C = (500/900) × 100 = 55.55%

⇒ Percentage of females in office C = (400/900) × 100 = 44.44%

∴ Required difference = 55.55% – 44.44% = 11.11%

⇒ Percentage of males in office D = (400/900) × 100 = 44.44%

⇒ Percentage of females in office D = (500/900) × 100 = 55.55%

∴ Required difference = 55.55% – 44.44% = 11.11%

⇒ Percentage of males in office E = (800/1700) × 100 = 47.05%

⇒ Percentage of females in office E = (900/1700) × 100 = 52.94%

∴ Required difference = 52.94% – 47.05% = 5.89%

Top Bar Graph MCQ Objective Questions

Directions: The data for family sizes in a town is given below. Based on the bar graph, answer the question given below:

F1 Sonali Akash 01-02-2022 2

Calculate the average family size from the given data.

  1. 2.4
  2. 3.0
  3. 3.4
  4. 4

Answer (Detailed Solution Below)

Option 3 : 3.4

Bar Graph Question 6 Detailed Solution

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Calculation:

Number of families having 1 member = 5

Total members = 5

Number of families having 2 members = 30

Total members = 60

Number of families having 3 members = 45

Total members = 135

Number of families having 4 members = 40

Total members = 160

Number of families having 5 members = 25

Total members = 125

Number of families having 6 members = 5

Total members = 30

So, the total membes in all types of families = 5 + 60 + 135 + 160 + 125 + 30 = 515

Total number of families = 5 + 30 + 45 + 40 + 25 + 5 =150

The average family size = 515 / 150 = 3.4

Hence, option 3 is correct.

Annotation 2020-05-22 205528

The given data shows the registration of bikes and total vehicles (in thousands) for 6 months in 2017 in City X.

Note: In the chart, the first number represents bikes and the second number represents total vehicles.

Based on the given data, the increase in the registration of vehicles other than bikes in April 2017 in comparison of Jan 2017 is  _______.

  1. 8000
  2. 8050
  3. 9500
  4. 9000

Answer (Detailed Solution Below)

Option 4 : 9000

Bar Graph Question 7 Detailed Solution

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Number of registration of vehicles other than bikes in January 2017 = 27,000 - 21,000 = 6,000

Number of registration of vehicles other than bikes in April 2017 = 35,000 - 20,000 = 15,000

∴ the increase in the registration of vehicles other than bikes in April 2017 in comparison of Jan 2017 = 15,000 - 6,000 = 9,000

Directions: The data on family sizes in a town is given below. Based on the figure, answer the questions below:

]F1 Sonali Akash 01-02-2022 2

The fraction of families with a size less than the average family size is

  1. \(\frac{3}{5}\)
  2. \(\frac{8}{15}\)
  3. \(\frac{2}{5}\)
  4. \(\frac{1}{5}\)

Answer (Detailed Solution Below)

Option 2 : \(\frac{8}{15}\)

Bar Graph Question 8 Detailed Solution

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Calculation:

Number of families having 1 member = 5

Total members = 5

Number of families having 2 member = 30

Total members = 60

Number of families having 3 member = 45

Total members = 135

Number of families having 4 member = 40

Total members = 160

Number of families having 5 member = 25

Total members = 125

Number of families having 6 member = 5

Total members = 30

So, the total members in all types of families = 5 + 60 + 135 + 160 + 125 + 30 = 515

Total number of families = 5 + 30 + 45 + 40 + 25 + 5 =150

The average family size = 515 / 150 = 3.4

The families with size less than the average family size are as follows:

Number of families having 1 member = 5

Number of families having 2 member = 30

Number of families having 3 member = 45

So, the total number of families with size less than the average family size = 80

The total number of families = 150

The fraction of families with size less than the average family size = 80 / 150 = 8 / 15

Hence, option 2 is correct.

The given bar chat represents the Televisions Sets (TV) manufactured (in thousands) and the respective percentage of those TV Sets sold by five different companies A, B, C, D and E in 2015.

Study the chart carefully and answer the question that follows.

F1 Revannath SSC 29-6-2022 G9

What is the ratio of the number of TV sets sold by company A to that of company B in 2015?

  1. 5 : 6
  2. 5 : 4
  3. 4 : 5
  4. 6 : 5

Answer (Detailed Solution Below)

Option 1 : 5 : 6

Bar Graph Question 9 Detailed Solution

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Calculation:

The number of TV sets sold by company A = 64 × 75%

⇒ 48

The number of TV sets sold by company B = 90 × 64%

⇒ 57.6

Ratio = 48 : 57.6

⇒ 5 : 6

∴ Required answer is 5 : 6.

Based on the bar graph given, calculate the approximate percentage increase in sales of mobile phones from 2004 to 2008.

614d9d1e55346d90877797a1 Shubham V Rajiv 24.09.21 4

  1. 150%
  2. 50%
  3. 100%
  4. 200%

Answer (Detailed Solution Below)

Option 3 : 100%

Bar Graph Question 10 Detailed Solution

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Calculation:

Percentage increase in sales of mobile phones in 2004 = 35

Percentage increase in sales of mobile phones in 2008 = 70

Percentage increase in sales of mobile phones from 2004 to 2008 = (70 –  35)/35 × 100

⇒ 35/35 × 100

⇒ 100%

∴ The required percentage is 100%

The following bar chart represents the gross amount (in Rs. crores) and total cost (Rs. crores) of a firm.

Akash Ankur 19-10-2023 G1

In order to make a profit of 25%, what should the gross amount have been (in Rs. crores) in 2019-2020, if the total cost remained the same?

  1. 7800
  2. 8000
  3. 8250
  4. 8125

Answer (Detailed Solution Below)

Option 4 : 8125

Bar Graph Question 11 Detailed Solution

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Calculation:

⇒ 6500 + 6500 ×  25/100

⇒ 6500 + 1625

⇒ 8125

The gross amount should be 8125 (in Rs. crores) in 2019-2020, if the total cost remained the same.

The given bar graph shows the income and expenditure (in crores Rs.) of a company over 5 years, from 2014 to 2018. Study the bar graph and answer the question that follows.

F1 Mamata SSC  29.06.22 G1

In which of the following years is the ratio of income to expenditure the minimum?

  1. 2017
  2. 2018
  3. 2014
  4. 2016

Answer (Detailed Solution Below)

Option 2 : 2018

Bar Graph Question 12 Detailed Solution

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Given data:

Year

Income

Expenditure

2014

225

175

2015

280

250

2016

325

275

2017

350

300

2018

350

325

Calculations:

Ratio of Income to expenditure for respective years-

Year

Income

Expenditure

        \(Income\over Expenditure\)

2014

225

175

225 /175 = 1.29

2015

280

250

280 / 250 = 1.12

2016

325

275

325 / 275 = 1.18

2017 

350

300

350 / 300 = 1.16

2018

350

325

350 / 325 = 1.08

The income-expenditure ratio is the minimum in the year 2018.

Comprehension:

Direction: Study the graph and answer the following questions :

F1 shubham Akash 26-08-2021 1

The maximum rise in the production of raw wool with respect to previous year :

  1. 2017-18
  2. 2020-21
  3. 2016-17
  4. 2019-20

Answer (Detailed Solution Below)

Option 3 : 2016-17

Bar Graph Question 13 Detailed Solution

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Calculation:

Rise in 2015-16 = 53 – 51 = 2

Rise in 2016-17 = 65 – 53 = 12

Rise in 2017-18 = 76 – 65 = 11

Rise in 2019-20 = 68 – 58 = 10

Rise in 2020-21 = 73 – 68 = 5

∴ Maximum rise in production of wool with respect to previous year is in 2016-17

The given histogram shows the heights of 232 students of an athletic club and their numbers.

Study the histogram carefully and answer the questions that follows.

F2 Madhuri SSC 29.08.2022 D1     

If the histogram is to be presented by a line diagram, what would be the starting point and the end point of the line diagram?

  1. (117.5,20) and (172.5,20)
  2. (117.5,0) and (172.5,0)
  3. (122.5,0) and (167.5,0)
  4. (122.5,20) and (167.5,20)

Answer (Detailed Solution Below)

Option 2 : (117.5,0) and (172.5,0)

Bar Graph Question 14 Detailed Solution

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Given:-

Athletic club of 232 members and their height's frequency.

Concept used:-

Frequency Polygon:-  A frequency polygon is a graph constructed by using lines to join the midpoints of each interval or bin. The heights of the points represent the frequencies. A frequency polygon can be created from the histogram or by calculating the midpoints of the bins from the frequency distribution table.

Formula Used:

Class size = Upper limit - Lower limit

Calculation:

From histogram -

Class size = Upper limit - Lower limit

Class size = 125 - 120 = 5

∴ Mid point of a class = 5/2 = 2.5

So, Starting point of Line graph -

X - co-ordinate = 120 - 2.5 = 117.5

Y - co-ordinate = frequency of point = 0

∴ Starting point = (117.5,0)

End point of Line graph -

X - co-ordinate = 170 + 2.5 = 172.5

Y - co-ordinate = frequency of point =  0

∴ End point = (172.5,0)

Required points are (117.5,0) and (172.5,0).

The following bar graph shows the number of coolers sold by shopkeepers A and B in different years. Study the graph and answer the question that follows.

SSC Himanshu Akash 09.05.2023 G2

The total number of coolers sold by shopkeeper B in 1995 and 1998 together is approximately what percentage more/less than the total number of coolers sold by the shopkeeper A in 1996 and 1997 together ?

  1. 4% more
  2. 4% less
  3. 6% less
  4. 6% more

Answer (Detailed Solution Below)

Option 2 : 4% less

Bar Graph Question 15 Detailed Solution

Download Solution PDF

Given: 

B(1995 + 1998) = 1620 + 1600

A(1996 + 1997) = 1590 + 1750

Solution:

The total number of coolers sold by shopkeeper B in 1995 and 1998 = 1620 + 1600 = 3220

The total number of coolers sold by shopkeeper A in 1996 and 1997 = 1590 + 1750 = 3340

difference = 3220 - 3340 = -120

⇒ less

Required percentage = 120/3340 x 100 = 3.5% ~ 4% less

Hence, the correct option is 2.

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