This lesson shows how to read it, then gives each rule with the reason it works. It solves five examples step by step and lists the traps that cost marks.
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Q1.
Quantity Exported of Different Commodities, 2014-2018 (lakh tonnes)
The quantity exported of Coffee in 2017 is approximately what percentage of the quantity exported of Tea in the same year? (rounded to the nearest whole number)
Show answer and explanation
Answer: B
In 2017, the graph shows Coffee = 184 and Tea = 143. Percentage = (184/143) x 100 = 128.67%. Rounded to the nearest whole number, that is 129%. Check: 129% of 143 is about 184, close to 184.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q2.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What was the average books sold of Poetry over the given quarters?
Show answer and explanation
Answer: C
The graph’s line for Poetry totals 491 across 5 points. Average = total divided by count = 491 / 5 = 98.2. So the average books sold of Poetry is 98.2.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q3.
Number of Books Sold by Genre Over 5 Quarters (thousands)
The books sold of Children’s in Q5 is approximately what percentage of the books sold of Comics in the same quarter? (rounded to the nearest whole number)
Show answer and explanation
Answer: C
In Q5, the graph shows Children’s = 88 and Comics = 162. Percentage = (88/162) x 100 = 54.32%. Rounded to the nearest whole number, that is 54%. Check: 54% of 162 is about 87, close to 88.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q4.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What was the average books sold of all categories in Q3?
Show answer and explanation
Answer: D
In Q3, the graph’s points across all categories total 765. Average = total divided by count = 765 / 5 = 153. So the average books sold of all categories in Q3 is 153.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q5.
Number of Employees Working in Different Departments, 2018-2022
In which year was the employees working of IT the highest?
Show answer and explanation
Answer: D
The graph’s line for IT reads: 2018 = 297, 2019 = 319, 2020 = 154, 2021 = 186, 2022 = 94. Comparing all 5 points, the peak is in 2019. So the employees working of IT was highest in that year.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q6.
Quantity Exported of Different Commodities, 2016-2020 (lakh tonnes)
The quantity exported of Tea in 2019 is approximately what percentage of the quantity exported of Cotton in the same year? (rounded to the nearest whole number)
Show answer and explanation
Answer: C
In 2019, the graph shows Tea = 210 and Cotton = 104. Percentage = (210/104) x 100 = 201.92%. Rounded to the nearest whole number, that is 202%. Check: 202% of 104 is about 210, close to 210.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q7.
Number of Books Sold by Genre Over 5 Quarters (thousands)
The books sold of Fiction in Q5 is approximately what percentage of the books sold of Non-Fiction in the same quarter? (rounded to the nearest whole number)
Show answer and explanation
Answer: C
In Q5, the graph shows Fiction = 73 and Non-Fiction = 111. Percentage = (73/111) x 100 = 65.77%. Rounded to the nearest whole number, that is 66%. Check: 66% of 111 is about 73, close to 73.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q8.
Number of Tourists Visiting Different Destinations, 2018-2022 (thousands)
The tourists visiting of Manali in 2022 is approximately what percentage of the tourists visiting of Udaipur in the same year? (rounded to the nearest whole number)
Show answer and explanation
Answer: C
In 2022, the graph shows Manali = 106 and Udaipur = 186. Percentage = (106/186) x 100 = 56.99%. Rounded to the nearest whole number, that is 57%. Check: 57% of 186 is about 106, close to 106.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q9.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What was the average books sold of Self-Help over the given quarters?
Show answer and explanation
Answer: B
The graph’s line for Self-Help totals 614 across 5 points. Average = total divided by count = 614 / 5 = 122.8. So the average books sold of Self-Help is 122.8.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q10.
Number of Employees Working in Different Departments, 2016-2020
In which year was the employees working of Logistics the highest?
Show answer and explanation
Answer: C
The graph’s line for Logistics reads: 2016 = 395, 2017 = 149, 2018 = 396, 2019 = 122, 2020 = 237. Comparing all 5 points, the peak is in 2018. So the employees working of Logistics was highest in that year.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q11.
Quantity Exported of Different Commodities, 2014-2018 (lakh tonnes)
Which category had the highest quantity exported in 2017?
Show answer and explanation
Answer: D
In 2017, the graph’s points read: Coffee = 184, Jute = 110, Tea = 143, Wheat = 94, Rice = 58. Comparing all 5 values, Coffee is the highest. So Coffee had the highest quantity exported in 2017.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q12.
Quantity Exported of Different Commodities, 2014-2018 (lakh tonnes)
What was the total quantity exported of all categories together in 2018?
Show answer and explanation
Answer: A
In 2018, the graph’s points across all categories are: 35, 30, 139, 120, 50. Adding them: 35 + 30 + 139 + 120 + 50 = 374. So the total quantity exported of all categories in 2018 is 374.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q13.
Quantity Exported of Different Commodities, 2014-2018 (lakh tonnes)
What is the ratio of the quantity exported of Tea to Jute in 2014?
Show answer and explanation
Answer: B
In 2014, the graph shows Tea = 119 and Jute = 86. Ratio = 119 : 86. Dividing both terms by their HCF gives the lowest form: 119 : 86. Check: 119 x 86 = 10234 and 86 x 119 = 10234, confirming the ratio is correct.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q14.
Quantity Exported of Different Commodities, 2014-2018 (lakh tonnes)
What is the difference between the quantity exported of Tea and Jute in 2018?
Show answer and explanation
Answer: C
In 2018, the graph shows Tea = 139 and Jute = 30. Difference = |139 – 30| = 109. So Tea and Jute differ by 109 in 2018.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q15.
Number of Employees Working in Different Departments, 2015-2019
What was the total employees working of Support over the given years?
Show answer and explanation
Answer: D
The graph’s line for Support gives 5 values: 48, 383, 235, 133, 217. Adding them: 48 + 383 + 235 + 133 + 217 = 1016. So the total employees working of Support is 1016.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q16.
Number of Employees Working in Different Departments, 2015-2019
What was the average employees working of Logistics over the given years?
Show answer and explanation
Answer: C
The graph’s line for Logistics totals 1553 across 5 points. Average = total divided by count = 1553 / 5 = 310.6. So the average employees working of Logistics is 310.6.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q17.
Number of Employees Working in Different Departments, 2015-2019
Which category had the highest employees working in 2015?
Show answer and explanation
Answer: C
In 2015, the graph’s points read: Support = 48, Logistics = 376, Sales = 153, R&D = 347, Production = 306. Comparing all 5 values, Logistics is the highest. So Logistics had the highest employees working in 2015.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q18.
Number of Employees Working in Different Departments, 2015-2019
The employees working of Logistics in 2016 is approximately what percentage of the employees working of Production in the same year? (rounded to the nearest whole number)
Show answer and explanation
Answer: C
In 2016, the graph shows Logistics = 75 and Production = 328. Percentage = (75/328) x 100 = 22.87%. Rounded to the nearest whole number, that is 23%. Check: 23% of 328 is about 75, close to 75.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q19.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What was the approximate percentage increase in the books sold of Self-Help from Q1 to Q2?
Show answer and explanation
Answer: A
For Self-Help, the graph shows Q1 = 68 and Q2 = 173. Change = 173 – 68 = 105. Percentage change = ((173-68)/68) x 100 = 154.41%. Rounded, that is a 154% increase from Q1 to Q2.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q20.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What is the difference between the books sold of Children’s and Biography in Q4?
Show answer and explanation
Answer: D
In Q4, the graph shows Children’s = 149 and Biography = 112. Difference = |149 – 112| = 37. So Children’s and Biography differ by 37 in Q4.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q21.
Number of Books Sold by Genre Over 5 Quarters (thousands)
Which category had the highest books sold in Q3?
Show answer and explanation
Answer: D
In Q3, the graph’s points read: Biography = 82, Self-Help = 144, Comics = 169, Academic = 91, Children’s = 117. Comparing all 5 values, Comics is the highest. So Comics had the highest books sold in Q3.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q22.
Quantity Exported of Different Commodities, 2016-2020 (lakh tonnes)
In which year was the quantity exported of Rice the highest?
Show answer and explanation
Answer: A
The graph’s line for Rice reads: 2016 = 49, 2017 = 27, 2018 = 117, 2019 = 129, 2020 = 192. Comparing all 5 points, the peak is in 2020. So the quantity exported of Rice was highest in that year.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q23.
Quantity Exported of Different Commodities, 2016-2020 (lakh tonnes)
What was the average quantity exported of Rice over the given years?
Show answer and explanation
Answer: B
The graph’s line for Rice totals 514 across 5 points. Average = total divided by count = 514 / 5 = 102.8. So the average quantity exported of Rice is 102.8.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q24.
Quantity Exported of Different Commodities, 2016-2020 (lakh tonnes)
What is the ratio of the quantity exported of Coffee to Rice in 2018?
Show answer and explanation
Answer: A
In 2018, the graph shows Coffee = 64 and Rice = 117. Ratio = 64 : 117. Dividing both terms by their HCF gives the lowest form: 64 : 117. Check: 64 x 117 = 7488 and 117 x 64 = 7488, confirming the ratio is correct.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q25.
Quantity Exported of Different Commodities, 2016-2020 (lakh tonnes)
What was the approximate percentage increase in the quantity exported of Cotton from 2017 to 2018?
Show answer and explanation
Answer: B
For Cotton, the graph shows 2017 = 35 and 2018 = 133. Change = 133 – 35 = 98. Percentage change = ((133-35)/35) x 100 = 280.00%. Rounded, that is a 280% increase from 2017 to 2018.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples