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Bar Graphs: Formulas, Shortcuts and Solved Examples — MCQs with Answers (Set 1)

Bar graph questions give you a chart and ask you to read it and calculate. They test care more than hard maths.

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Q1.

Number of Books Sold by Genre Over 5 Quarters (thousands)

04285127169212Q1Q2Q3Q4Q5PoetryComicsChildren’sFictionNon-Fiction

What was the total books sold of all categories over all quarters combined?

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Answer: C

Add every bar’s value in the chart, one quarter at a time. Q1 totals 671. Q2 totals 494. Q3 totals 426. Q4 totals 760. Q5 totals 586. Add these 5 totals together: 671 + 494 + 426 + 760 + 586 = 2937. So the grand total books sold of all categories over all quarters is 2937.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q2.

Revenue Earned by Different Companies, 2014-2018 (crore rupees)

011823535347058820142015201620172018Nova TextilesOrbit SystemsPrime RetailBluewave IncInfotech Ltd

What is the ratio of the revenue earned of Orbit Systems to Bluewave Inc in 2018?

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Answer: B

Read the two bars for 2018 on the chart. Orbit Systems = 344. Bluewave Inc = 89. Ratio = 344 : 89. Divide both sides by their common factor to simplify: 344 : 89 = 344 : 89. Check: 344 x 89 = 30616 and 89 x 344 = 30616, which are equal, confirming the ratio. So the ratio of Orbit Systems to Bluewave Inc in 2018 is 344 : 89.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q3.

Revenue Earned by Different Companies, 2015-2019 (crore rupees)

011623234846458020152016201720182019Delta FoodsNova TextilesMetro TradersSunrise CorpBluewave Inc

What is the ratio of the revenue earned of Nova Textiles to Metro Traders in 2018?

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Answer: D

Read the two bars for 2018 on the chart. Nova Textiles = 150. Metro Traders = 101. Ratio = 150 : 101. Divide both sides by their common factor to simplify: 150 : 101 = 150 : 101. Check: 150 x 101 = 15150 and 101 x 150 = 15150, which are equal, confirming the ratio. So the ratio of Nova Textiles to Metro Traders in 2018 is 150 : 101.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q4.

Runs Scored by Different Batsmen Over 5 Matches

0306191121152Match 1Match 2Match 3Match 4Match 5ManojRohitArjunSureshVikram

What was the average runs scored of Suresh over the given matches?

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Answer: A

Read Suresh’s bar for each match on the chart. Match 1: Suresh = 20. Match 2: Suresh = 131. Match 3: Suresh = 126. Match 4: Suresh = 48. Match 5: Suresh = 99. Add all 5 values: 20 + 131 + 126 + 48 + 99 = 424. Average = total divided by 5 matches: 424 / 5 = 84.8. Check: 84.8 x 5 ~ 424. So the average runs scored of Suresh is 84.8.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q5.

Runs Scored by Different Batsmen Over 5 Matches

0306191121152Match 1Match 2Match 3Match 4Match 5ManojRohitArjunSureshVikram

What was the average runs scored of all categories in Match 3?

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Answer: C

Look at Match 3 on the chart and read each category’s bar. Manoj = 40. Rohit = 60. Arjun = 129. Suresh = 126. Vikram = 92. Add all 5 categories: 40 + 60 + 129 + 126 + 92 = 447. Average = total divided by 5 categories: 447 / 5 = 89.4. Check: 89.4 x 5 ~ 447. So the average runs scored across all categories in Match 3 is 89.4.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q6.

Runs Scored by Different Batsmen Over 5 Matches

0316292123154Match 1Match 2Match 3Match 4Match 5RahulManojVikramAdityaArjun

What was the average runs scored of all categories in Match 5?

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Answer: B

Look at Match 5 on the chart and read each category’s bar. Rahul = 45. Manoj = 49. Vikram = 65. Aditya = 52. Arjun = 116. Add all 5 categories: 45 + 49 + 65 + 52 + 116 = 327. Average = total divided by 5 categories: 327 / 5 = 65.4. Check: 65.4 x 5 ~ 327. So the average runs scored across all categories in Match 5 is 65.4.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q7.

Number of Books Sold by Genre Over 5 Quarters (thousands)

04386130173216Q1Q2Q3Q4Q5FictionBiographyChildren’sNon-FictionAcademic

The books sold of Non-Fiction in Q3 is approximately what percentage of the books sold of Children’s in the same quarter? (rounded to the nearest whole number)

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Answer: B

Read the two bars for Q3 on the chart. Non-Fiction = 41. Children’s = 39. Percentage = (Non-Fiction / Children’s) x 100 = (41/39) x 100 = 105.13%. Rounded to the nearest whole number, that is 105%. Check: 105% of 39 = 41, close to Non-Fiction’s actual value of 41.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q8.

Number of Books Sold by Genre Over 5 Quarters (thousands)

04386130173216Q1Q2Q3Q4Q5FictionBiographyChildren’sNon-FictionAcademic

What was the total books sold of all categories together in Q3?

Show answer and explanation

Answer: D

Look at the quarter Q3 on the chart and read every category’s bar. Fiction = 72. Biography = 183. Children’s = 39. Non-Fiction = 41. Academic = 129. Add all 5 categories: 72 + 183 + 39 + 41 + 129 = 464. Check by adding in reverse order: 129 + 41 + 39 + 183 + 72 = 464 again. So the total books sold of all categories in Q3 is 464.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q9.

Number of Books Sold by Genre Over 5 Quarters (thousands)

04386130173216Q1Q2Q3Q4Q5FictionBiographyChildren’sNon-FictionAcademic

What was the total books sold of Children’s over the given quarters?

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Answer: A

Read Children’s’s bar for each quarter on the chart. Q1: Children’s = 128. Q2: Children’s = 188. Q3: Children’s = 39. Q4: Children’s = 158. Q5: Children’s = 121. Add all 5 quarters: 128 + 188 + 39 + 158 + 121 = 634. Check by adding in reverse order: 121 + 158 + 39 + 188 + 128 = 634 again. So the total books sold of Children’s is 634.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q10.

Runs Scored by Different Batsmen Over 5 Matches

0326497129161Match 1Match 2Match 3Match 4Match 5ArjunKaranRohitVikramRahul

What was the average runs scored of Rahul over the given matches?

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Answer: D

Read Rahul’s bar for each match on the chart. Match 1: Rahul = 51. Match 2: Rahul = 31. Match 3: Rahul = 101. Match 4: Rahul = 109. Match 5: Rahul = 28. Add all 5 values: 51 + 31 + 101 + 109 + 28 = 320. Average = total divided by 5 matches: 320 / 5 = 64. Check: 64 x 5 = 320. So the average runs scored of Rahul is 64.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q11.

Number of Books Sold by Genre Over 5 Quarters (thousands)

04387130174217Q1Q2Q3Q4Q5ComicsFictionPoetrySelf-HelpAcademic

What was the total books sold of all categories together in Q4?

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Answer: C

Look at the quarter Q4 on the chart and read every category’s bar. Comics = 40. Fiction = 78. Poetry = 143. Self-Help = 122. Academic = 147. Add all 5 categories: 40 + 78 + 143 + 122 + 147 = 530. Check by adding in reverse order: 147 + 122 + 143 + 78 + 40 = 530 again. So the total books sold of all categories in Q4 is 530.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q12.

Number of Tourists Visiting Different Destinations, 2013-2017 (thousands)

010821732543354220132014201520162017UdaipurOotyManaliJaipurShimla

The tourists visiting of Udaipur in 2015 is approximately what percentage of the tourists visiting of Shimla in the same year? (rounded to the nearest whole number)

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Answer: B

Read the two bars for 2015 on the chart. Udaipur = 119. Shimla = 298. Percentage = (Udaipur / Shimla) x 100 = (119/298) x 100 = 39.93%. Rounded to the nearest whole number, that is 40%. Check: 40% of 298 = 119, close to Udaipur’s actual value of 119.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q13.

Number of Books Sold by Genre Over 5 Quarters (thousands)

04284126167209Q1Q2Q3Q4Q5ComicsAcademicNon-FictionBiographyChildren’s

What was the total books sold of all categories together in Q2?

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Answer: A

Look at the quarter Q2 on the chart and read every category’s bar. Comics = 118. Academic = 99. Non-Fiction = 117. Biography = 24. Children’s = 180. Add all 5 categories: 118 + 99 + 117 + 24 + 180 = 538. Check by adding in reverse order: 180 + 24 + 117 + 99 + 118 = 538 again. So the total books sold of all categories in Q2 is 538.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q14.

Number of Books Sold by Genre Over 5 Quarters (thousands)

04284126167209Q1Q2Q3Q4Q5ComicsAcademicNon-FictionBiographyChildren’s

What was the total books sold of Non-Fiction over the given quarters?

Show answer and explanation

Answer: D

Read Non-Fiction’s bar for each quarter on the chart. Q1: Non-Fiction = 63. Q2: Non-Fiction = 117. Q3: Non-Fiction = 182. Q4: Non-Fiction = 12. Q5: Non-Fiction = 81. Add all 5 quarters: 63 + 117 + 182 + 12 + 81 = 455. Check by adding in reverse order: 81 + 12 + 182 + 117 + 63 = 455 again. So the total books sold of Non-Fiction is 455.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q15.

Number of Books Sold by Genre Over 5 Quarters (thousands)

04386128171214Q1Q2Q3Q4Q5Children’sComicsPoetryNon-FictionSelf-Help

What was the total books sold of all categories together in Q1?

Show answer and explanation

Answer: A

Look at the quarter Q1 on the chart and read every category’s bar. Children’s = 61. Comics = 66. Poetry = 134. Non-Fiction = 125. Self-Help = 130. Add all 5 categories: 61 + 66 + 134 + 125 + 130 = 516. Check by adding in reverse order: 130 + 125 + 134 + 66 + 61 = 516 again. So the total books sold of all categories in Q1 is 516.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q16.

Number of Employees Working in Different Departments, 2013-2017

010921732643454320132014201520162017HRProductionFinanceITSupport

The employees working of Finance in 2015 is approximately what percentage of the employees working of Support in the same year? (rounded to the nearest whole number)

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Answer: D

Read the two bars for 2015 on the chart. Finance = 275. Support = 138. Percentage = (Finance / Support) x 100 = (275/138) x 100 = 199.28%. Rounded to the nearest whole number, that is 199%. Check: 199% of 138 = 275, close to Finance’s actual value of 275.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q17.

Runs Scored by Different Batsmen Over 5 Matches

0326395126158Match 1Match 2Match 3Match 4Match 5VikramArjunKaranRahulManoj

What was the average runs scored of all categories in Match 2?

Show answer and explanation

Answer: B

Look at Match 2 on the chart and read each category’s bar. Vikram = 134. Arjun = 24. Karan = 97. Rahul = 117. Manoj = 16. Add all 5 categories: 134 + 24 + 97 + 117 + 16 = 388. Average = total divided by 5 categories: 388 / 5 = 77.6. Check: 77.6 x 5 ~ 388. So the average runs scored across all categories in Match 2 is 77.6.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q18.

Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)

011022133144255220172018201920202021KochiOotyShimlaDarjeelingManali

Which category had the highest tourists visiting in 2019?

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Answer: B

Compare every category’s bar for 2019 on the chart. Kochi = 431. Ooty = 293. Shimla = 224. Darjeeling = 229. Manali = 287. Kochi’s bar is the tallest, at 431. The next-highest value is 293, still lower than Kochi’s 431. So Kochi had the highest tourists visiting in 2019.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q19.

Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)

011022133144255220172018201920202021KochiOotyShimlaDarjeelingManali

What was the approximate percentage decrease in the tourists visiting of Shimla from 2020 to 2021?

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Answer: C

Read Shimla’s bar in both 2020 and 2021 from the chart. 2020: Shimla = 395. 2021: Shimla = 182. Change = 182 – 395 = -213. Percentage change = ((182 – 395) / 395) x 100 = -53.92%. Rounded, that is about 54% decrease. Check: a 54% decrease on 395 gives about 395 – 213 = 182, close to the actual 182.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q20.

Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)

011022133144255220172018201920202021KochiOotyShimlaDarjeelingManali

What was the average tourists visiting of Darjeeling over the given years?

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Answer: B

Read Darjeeling’s bar for each year on the chart. 2017: Darjeeling = 76. 2018: Darjeeling = 255. 2019: Darjeeling = 229. 2020: Darjeeling = 192. 2021: Darjeeling = 389. Add all 5 values: 76 + 255 + 229 + 192 + 389 = 1141. Average = total divided by 5 years: 1141 / 5 = 228.2. Check: 228.2 x 5 ~ 1141. So the average tourists visiting of Darjeeling is 228.2.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q21.

Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)

011022133144255220172018201920202021KochiOotyShimlaDarjeelingManali

In which year was the tourists visiting of Darjeeling the highest?

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Answer: C

Compare Darjeeling’s bar across every year on the chart. 2017: Darjeeling = 76. 2018: Darjeeling = 255. 2019: Darjeeling = 229. 2020: Darjeeling = 192. 2021: Darjeeling = 389. The tallest bar is in 2021, at 389. The next-highest value is 255, still lower than 2021’s 389. So the tourists visiting of Darjeeling was highest in 2021.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q22.

Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)

011022133144255220172018201920202021KochiOotyShimlaDarjeelingManali

What was the total tourists visiting of all categories together in 2018?

Show answer and explanation

Answer: A

Look at the year 2018 on the chart and read every category’s bar. Kochi = 480. Ooty = 413. Shimla = 246. Darjeeling = 255. Manali = 133. Add all 5 categories: 480 + 413 + 246 + 255 + 133 = 1527. Check by adding in reverse order: 133 + 255 + 246 + 413 + 480 = 1527 again. So the total tourists visiting of all categories in 2018 is 1527.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q23.

Number of Employees Working in Different Departments, 2018-2022

010520931441952320182019202020212022FinanceProductionLogisticsITHR

What was the average employees working of all categories in 2019?

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Answer: C

Look at 2019 on the chart and read each category’s bar. Finance = 303. Production = 389. Logistics = 289. IT = 145. HR = 282. Add all 5 categories: 303 + 389 + 289 + 145 + 282 = 1408. Average = total divided by 5 categories: 1408 / 5 = 281.6. Check: 281.6 x 5 ~ 1408. So the average employees working across all categories in 2019 is 281.6.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q24.

Number of Employees Working in Different Departments, 2018-2022

010520931441952320182019202020212022FinanceProductionLogisticsITHR

Which category had the lowest employees working in 2021?

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Answer: D

Compare every category’s bar for 2021 on the chart. Finance = 51. Production = 286. Logistics = 65. IT = 429. HR = 310. Finance’s bar is the shortest, at 51. The next-lowest value is 65, still higher than Finance’s 51. So Finance had the lowest employees working in 2021.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

Q25.

Number of Employees Working in Different Departments, 2018-2022

010520931441952320182019202020212022FinanceProductionLogisticsITHR

What was the total employees working of HR over the given years?

Show answer and explanation

Answer: C

Read HR’s bar for each year on the chart. 2018: HR = 343. 2019: HR = 282. 2020: HR = 383. 2021: HR = 310. 2022: HR = 139. Add all 5 years: 343 + 282 + 383 + 310 + 139 = 1457. Check by adding in reverse order: 139 + 310 + 383 + 282 + 343 = 1457 again. So the total employees working of HR is 1457.

Related topics: Bar Graphs: Formulas, Shortcuts and Solved Examples

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