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, 2016-2020 (lakh tonnes)
What was the average quantity exported of all categories in 2018?
Show answer and explanation
Answer: B
In 2018, the graph’s points across all categories total 610. Average = total divided by count = 610 / 5 = 122. So the average quantity exported of all categories in 2018 is 122.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q2.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What was the total books sold of Comics over the given quarters?
Show answer and explanation
Answer: C
The graph’s line for Comics gives 5 values: 70, 83, 143, 52, 162. Adding them: 70 + 83 + 143 + 52 + 162 = 510. So the total books sold of Comics is 510.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q3.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What is the difference between the books sold of Children’s and Comics in Q3?
Show answer and explanation
Answer: A
In Q3, the graph shows Children’s = 142 and Comics = 143. Difference = |142 – 143| = 1. So Children’s and Comics differ by 1 in Q3.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q4.
Number of Books Sold by Genre Over 5 Quarters (thousands)
Which category had the lowest books sold in Q1?
Show answer and explanation
Answer: C
In Q1, the graph’s points read: Fiction = 64, Self-Help = 20, Children’s = 88, Non-Fiction = 165, Poetry = 125. Comparing all 5 values, Self-Help is the lowest. So Self-Help had the lowest books sold in Q1.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q5.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What was the total books sold of Poetry over the given quarters?
Show answer and explanation
Answer: C
The graph’s line for Poetry gives 5 values: 125, 185, 178, 52, 77. Adding them: 125 + 185 + 178 + 52 + 77 = 617. So the total books sold of Poetry is 617.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q6.
Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)
The tourists visiting of Darjeeling in 2019 is approximately what percentage of the tourists visiting of Goa in the same year? (rounded to the nearest whole number)
Show answer and explanation
Answer: B
In 2019, the graph shows Darjeeling = 228 and Goa = 204. Percentage = (228/204) x 100 = 111.76%. Rounded to the nearest whole number, that is 112%. Check: 112% of 204 is about 228, close to 228.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q7.
Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)
Which category had the highest tourists visiting in 2018?
Show answer and explanation
Answer: C
In 2018, the graph’s points read: Udaipur = 43, Shimla = 359, Goa = 183, Ooty = 293, Darjeeling = 152. Comparing all 5 values, Shimla is the highest. So Shimla had the highest tourists visiting in 2018.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q8.
Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)
What was the total tourists visiting of all categories together in 2019?
Show answer and explanation
Answer: B
In 2019, the graph’s points across all categories are: 267, 114, 204, 129, 228. Adding them: 267 + 114 + 204 + 129 + 228 = 942. So the total tourists visiting of all categories in 2019 is 942.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q9.
Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)
What is the ratio of the tourists visiting of Udaipur to Shimla in 2019?
Show answer and explanation
Answer: D
In 2019, the graph shows Udaipur = 267 and Shimla = 114. Ratio = 267 : 114. Dividing both terms by their HCF gives the lowest form: 89 : 38. Check: 89 x 114 = 10146 and 38 x 267 = 10146, confirming the ratio is correct.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q10.
Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)
What is the difference between the tourists visiting of Udaipur and Shimla in 2018?
Show answer and explanation
Answer: C
In 2018, the graph shows Udaipur = 43 and Shimla = 359. Difference = |43 – 359| = 316. So Udaipur and Shimla differ by 316 in 2018.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q11.
Number of Tourists Visiting Different Destinations, 2017-2021 (thousands)
What was the total tourists visiting of Shimla over the given years?
Show answer and explanation
Answer: A
The graph’s line for Shimla gives 5 values: 207, 359, 114, 372, 365. Adding them: 207 + 359 + 114 + 372 + 365 = 1417. So the total tourists visiting of Shimla is 1417.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q12.
Revenue Earned by Different Companies, 2019-2023 (crore rupees)
What was the average revenue earned of Infotech Ltd over the given years?
Show answer and explanation
Answer: D
The graph’s line for Infotech Ltd totals 1022 across 5 points. Average = total divided by count = 1022 / 5 = 204.4. So the average revenue earned of Infotech Ltd is 204.4.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q13.
Revenue Earned by Different Companies, 2019-2023 (crore rupees)
Which category had the highest revenue earned in 2020?
Show answer and explanation
Answer: A
In 2020, the graph’s points read: Metro Traders = 380, Nova Textiles = 258, Infotech Ltd = 40, Orbit Systems = 338, Bluewave Inc = 103. Comparing all 5 values, Metro Traders is the highest. So Metro Traders had the highest revenue earned in 2020.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q14.
Revenue Earned by Different Companies, 2019-2023 (crore rupees)
In which year was the revenue earned of Nova Textiles the highest?
Show answer and explanation
Answer: B
The graph’s line for Nova Textiles reads: 2019 = 351, 2020 = 258, 2021 = 141, 2022 = 255, 2023 = 156. Comparing all 5 points, the peak is in 2019. So the revenue earned of Nova Textiles was highest in that year.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q15.
Revenue Earned by Different Companies, 2019-2023 (crore rupees)
The revenue earned of Bluewave Inc in 2023 is approximately what percentage of the revenue earned of Metro Traders in the same year? (rounded to the nearest whole number)
Show answer and explanation
Answer: A
In 2023, the graph shows Bluewave Inc = 514 and Metro Traders = 179. Percentage = (514/179) x 100 = 287.15%. Rounded to the nearest whole number, that is 287%. Check: 287% of 179 is about 514, close to 514.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q16.
Revenue Earned by Different Companies, 2019-2023 (crore rupees)
Which category had the lowest revenue earned in 2019?
Show answer and explanation
Answer: B
In 2019, the graph’s points read: Metro Traders = 352, Nova Textiles = 351, Infotech Ltd = 420, Orbit Systems = 362, Bluewave Inc = 121. Comparing all 5 values, Bluewave Inc is the lowest. So Bluewave Inc had the lowest revenue earned in 2019.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q17.
Revenue Earned by Different Companies, 2019-2023 (crore rupees)
What was the approximate percentage increase in the revenue earned of Metro Traders from 2020 to 2021?
Show answer and explanation
Answer: B
For Metro Traders, the graph shows 2020 = 380 and 2021 = 462. Change = 462 – 380 = 82. Percentage change = ((462-380)/380) x 100 = 21.58%. Rounded, that is a 22% increase from 2020 to 2021.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q18.
Number of Employees Working in Different Departments, 2018-2022
What is the difference between the employees working of HR and Production in 2018?
Show answer and explanation
Answer: C
In 2018, the graph shows HR = 346 and Production = 170. Difference = |346 – 170| = 176. So HR and Production differ by 176 in 2018.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q19.
Number of Employees Working in Different Departments, 2018-2022
Which category had the highest employees working in 2022?
Show answer and explanation
Answer: B
In 2022, the graph’s points read: HR = 388, Production = 131, IT = 94, Sales = 326, R&D = 188. Comparing all 5 values, HR is the highest. So HR had the highest employees working in 2022.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q20.
Number of Employees Working in Different Departments, 2018-2022
What was the average employees working of R&D over the given years?
Show answer and explanation
Answer: C
The graph’s line for R&D totals 895 across 5 points. Average = total divided by count = 895 / 5 = 179. So the average employees working of R&D is 179.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q21.
Number of Employees Working in Different Departments, 2018-2022
What was the total employees working of all categories over all years combined?
Show answer and explanation
Answer: A
The table has 5 rows and 5 columns, so 25 cells in all. Adding every cell together gives 5904. Check: adding each row’s total instead — 1237 + 1452 + 1269 + 819 + 1127 — also gives 5904. So the grand total employees working over all years combined is 5904.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q22.
Number of Employees Working in Different Departments, 2018-2022
What is the ratio of the employees working of R&D to Production in 2019?
Show answer and explanation
Answer: D
In 2019, the graph shows R&D = 127 and Production = 191. Ratio = 127 : 191. Dividing both terms by their HCF gives the lowest form: 127 : 191. Check: 127 x 191 = 24257 and 191 x 127 = 24257, confirming the ratio is correct.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q23.
Quantity Exported of Different Commodities, 2016-2020 (lakh tonnes)
What was the approximate percentage increase in the quantity exported of Coffee from 2019 to 2020?
Show answer and explanation
Answer: D
For Coffee, the graph shows 2019 = 25 and 2020 = 146. Change = 146 – 25 = 121. Percentage change = ((146-25)/25) x 100 = 484.00%. Rounded, that is a 484% increase from 2019 to 2020.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q24.
Quantity Exported of Different Commodities, 2016-2020 (lakh tonnes)
What was the average quantity exported of all categories in 2016?
Show answer and explanation
Answer: D
In 2016, the graph’s points across all categories total 585. Average = total divided by count = 585 / 5 = 117. So the average quantity exported of all categories in 2016 is 117.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q25.
Quantity Exported of Different Commodities, 2016-2020 (lakh tonnes)
What was the total quantity exported of Cotton over the given years?
Show answer and explanation
Answer: A
The graph’s line for Cotton gives 5 values: 100, 96, 73, 90, 189. Adding them: 100 + 96 + 73 + 90 + 189 = 548. So the total quantity exported of Cotton is 548.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples