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

Last updated on Jun 12, 2025

Latest Bar Graph MCQ Objective Questions

Bar Graph Question 1:

Comprehension:

Directions: Study the following bar chart carefully to answer the questions given below. The bar chart indicates the income and expenditure (in lakhs of rupees) of five mobile companies (P, Q, R, S, and T) in the year 2015. The percent profit or loss of a company is given by

(Profit or Loss%) = [(Income - Expenditure) ÷ Expenditure] × 100

Find out which of the following companies earned the maximum profit in the year 2015?

  1. Q
  2. T
  3. R
  4. P
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : Q

Bar Graph Question 1 Detailed Solution

Calculation:

In 2015,  For company P,

Income is 350L and Expenditure is 400L

Income is lesser than Expenditure,

⇒ Company P suffers a loss in 2015.

In 2015,  For company Q,

Income is 500L and Expenditure is 400L

⇒ Profit = 500L – 400L

⇒ Profit = 100L

In 2015,  For company R,

Income is 400L and Expenditure is 450L

Income is lesser than Expenditure,

⇒ Company R suffers a loss in 2015

In 2015,  For company T,

Income is 500L and Expenditure is 450L

⇒ Profit = 500L – 450L

⇒ Profit = 50L

∴ In the following options, Company Q has a maximum profit.

Bar Graph Question 2:

Comprehension:

Directions: Study the following bar chart carefully to answer the questions given below. The bar chart indicates the income and expenditure (in lakhs of rupees) of five mobile companies (P, Q, R, S, and T) in the year 2015. The percent profit or loss of a company is given by

(Profit or Loss%) = [(Income - Expenditure) ÷ Expenditure] × 100

What was the profit/loss percentage of the five companies together in the year 2015?

  1. 10% profit
  2. 7.5% profit
  3. 5% profit
  4. 5% loss
  5. None of the above

Answer (Detailed Solution Below)

Option 2 : 7.5% profit

Bar Graph Question 2 Detailed Solution

Calculation:

For company P,

Loss is Rs. 50L

For company Q,

Profit is Rs. 100L

For company R,

Loss is Rs. 50L

For company S,

Profit is Rs. 100L

For company T,

Profit is Rs. 50L

Total profit is,

⇒ – 50L + 100L – 50L + 100L + 50L

⇒ 150L

Total expenditure,

⇒ 400 + 400 + 450 + 300 + 450

⇒ 2000

Percent profit,

⇒ 150/2000 × 100

⇒ 7.5%

∴ Total profit is 7.5%

Bar Graph Question 3:

Comprehension:

Directions: Study the following bar chart carefully to answer the questions given below. The bar chart indicates the income and expenditure (in lakhs of rupees) of five mobile companies (P, Q, R, S, and T) in the year 2015. The percent profit or loss of a company is given by

(Profit or Loss%) = [(Income - Expenditure) ÷ Expenditure] × 100

Find out which of the following companies had the maximum loss in the year 2015?

  1. P
  2. Q
  3. T
  4. S
  5. None of the above

Answer (Detailed Solution Below)

Option 1 : P

Bar Graph Question 3 Detailed Solution

Calculation:

In 2015,  For company P,

Income is 350L and Expenditure is 400L

Income is lesser than Expenditure,

⇒ Company P suffers a loss in 2015.

⇒ Loss = 400L – 350L

⇒ Loss = 50L

In 2015,  For company Q, 

Income is 500L and Expenditure is 400L

⇒ Profit = 500L – 400L

⇒ Profit = 100L

In 2015,  For company T,

Income is 500L and Expenditure is 450L

Income is greater than Expenditure,

⇒ Company T gain a profit in 2015.

In 2015,  For company S,

Income is 500L and Expenditure is 450L

Income is greater than Expenditure,

⇒ Company S gain a profit in 2015.

Bar Graph Question 4:

Comprehension:

Directions: Study the following bar chart carefully to answer the questions given below. The bar chart indicates the income and expenditure (in lakhs of rupees) of five mobile companies (P, Q, R, S, and T) in the year 2015. The percent profit or loss of a company is given by

(Profit or Loss%) = [(Income - Expenditure) ÷ Expenditure] × 100

What was the profit/loss percentage of the companies P and Q together in the year 2015?

  1. 5.25% profit
  2. 5.25% loss
  3. 6.25% profit
  4. No loss and no profit
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 6.25% profit

Bar Graph Question 4 Detailed Solution

Calculation:

In 2015,  For company P,

Income is 350L and Expenditure is 400L

⇒ Loss = 400L – 350L

⇒ Loss = 50L

In 2015,  For company Q,

Income is 500L and Expenditure is 400L

⇒ Profit = 500L – 400L

⇒ Profit = 100L

Total expenditure,

⇒ 400L + 400L = 800L

Total profit,

⇒ – 50L + 100L = 50L

Total profit percent,

⇒ 50/800 × 100

⇒ 6.25%

∴ Total profit percent is 6.25%.

Bar Graph Question 5:

Comprehension:

Directions: Study the following bar chart carefully to answer the questions given below. The bar chart indicates the income and expenditure (in lakhs of rupees) of five mobile companies (P, Q, R, S, and T) in the year 2015. The percent profit or loss of a company is given by

(Profit or Loss%) = [(Income - Expenditure) ÷ Expenditure] × 100

Company S had a loss of 20% in the year 2014 and the company's income in the year 2015 was 25% more than its income in the year 2014. What was its expenditure (in lakhs of rupees) in the year 2014?

  1. 320
  2. 360
  3. 400
  4. 420
  5. None of the above

Answer (Detailed Solution Below)

Option 3 : 400

Bar Graph Question 5 Detailed Solution

Calculation:

Income in 2015 is 25% more than in the year 2014

Income in 2015 is 400L

Income in 2014 would be,

⇒ 100/125 × 400

⇒ 320L

Loss of 20% in 2014,

Expenditure,

⇒ 100/80 × 320

⇒ 400

∴ Total expenditure in 2014 is Rs. 400L.

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:

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.

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:

]

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

Answer (Detailed Solution Below)

Option 2 :

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.

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.

  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.

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.

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

        

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 :

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.

     

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.

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

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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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