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)
What was the average quantity exported of all categories in 2014?
Show answer and explanation
Answer: D
In 2014, the graph’s points across all categories total 461. Average = total divided by count = 461 / 5 = 92.2. So the average quantity exported of all categories in 2014 is 92.2.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q2.
Quantity Exported of Different Commodities, 2014-2018 (lakh tonnes)
What was the total quantity exported of Jute over the given years?
Show answer and explanation
Answer: D
The graph’s line for Jute gives 5 values: 155, 62, 167, 121, 35. Adding them: 155 + 62 + 167 + 121 + 35 = 540. So the total quantity exported of Jute is 540.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q3.
Quantity Exported of Different Commodities, 2014-2018 (lakh tonnes)
Which category had the lowest quantity exported in 2014?
Show answer and explanation
Answer: B
In 2014, the graph’s points read: Spices = 175, Jute = 155, Cotton = 26, Tea = 89, Wheat = 16. Comparing all 5 values, Wheat is the lowest. So Wheat had the lowest quantity exported in 2014.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q4.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What is the difference between the books sold of Biography and Poetry in Q5?
Show answer and explanation
Answer: B
In Q5, the graph shows Biography = 147 and Poetry = 90. Difference = |147 – 90| = 57. So Biography and Poetry differ by 57 in Q5.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q5.
Number of Books Sold by Genre Over 5 Quarters (thousands)
The books sold of Comics in Q4 is approximately what percentage of the books sold of Children’s in the same quarter? (rounded to the nearest whole number)
Show answer and explanation
Answer: C
In Q4, the graph shows Comics = 36 and Children’s = 154. Percentage = (36/154) x 100 = 23.38%. Rounded to the nearest whole number, that is 23%. Check: 23% of 154 is about 35, close to 36.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q6.
Number of Books Sold by Genre Over 5 Quarters (thousands)
In which quarter was the books sold of Children’s the highest?
Show answer and explanation
Answer: D
The graph’s line for Children’s reads: Q1 = 27, Q2 = 177, Q3 = 182, Q4 = 154, Q5 = 136. Comparing all 5 points, the peak is in Q3. So the books sold of Children’s was highest in that quarter.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q7.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What was the total books sold of all categories together in Q3?
Show answer and explanation
Answer: C
In Q3, the graph’s points across all categories are: 182, 151, 70, 186, 71. Adding them: 182 + 151 + 70 + 186 + 71 = 660. So the total books sold of all categories in Q3 is 660.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q8.
Number of Students Enrolled in Different Courses, 2016-2020
What was the average students enrolled of all categories in 2016?
Show answer and explanation
Answer: B
In 2016, the graph’s points across all categories total 3568. Average = total divided by count = 3568 / 5 = 713.6. So the average students enrolled of all categories in 2016 is 713.6.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q9.
Number of Students Enrolled in Different Courses, 2016-2020
What was the total students enrolled of BCA over the given years?
Show answer and explanation
Answer: A
The graph’s line for BCA gives 5 values: 873, 553, 875, 608, 567. Adding them: 873 + 553 + 875 + 608 + 567 = 3476. So the total students enrolled of BCA is 3476.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q10.
Number of Students Enrolled in Different Courses, 2016-2020
The students enrolled of B.Ed. in 2020 is approximately what percentage of the students enrolled of BCA in the same year? (rounded to the nearest whole number)
Show answer and explanation
Answer: C
In 2020, the graph shows B.Ed. = 574 and BCA = 567. Percentage = (574/567) x 100 = 101.23%. Rounded to the nearest whole number, that is 101%. Check: 101% of 567 is about 573, close to 574.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q11.
Number of Students Enrolled in Different Courses, 2016-2020
Which category had the highest students enrolled in 2016?
Show answer and explanation
Answer: A
In 2016, the graph’s points read: BCA = 873, B.Tech = 821, B.Sc. = 776, B.Ed. = 533, B.A. = 565. Comparing all 5 values, BCA is the highest. So BCA had the highest students enrolled in 2016.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q12.
Number of Students Enrolled in Different Courses, 2016-2020
What was the total students enrolled of all categories together in 2019?
Show answer and explanation
Answer: B
In 2019, the graph’s points across all categories are: 608, 545, 761, 241, 655. Adding them: 608 + 545 + 761 + 241 + 655 = 2810. So the total students enrolled of all categories in 2019 is 2810.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q13.
Number of Students Enrolled in Different Courses, 2016-2020
What is the ratio of the students enrolled of B.A. to BCA in 2016?
Show answer and explanation
Answer: A
In 2016, the graph shows B.A. = 565 and BCA = 873. Ratio = 565 : 873. Dividing both terms by their HCF gives the lowest form: 565 : 873. Check: 565 x 873 = 493245 and 873 x 565 = 493245, confirming the ratio is correct.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q14.
Revenue Earned by Different Companies, 2015-2019 (crore rupees)
What is the difference between the revenue earned of Prime Retail and Orbit Systems in 2016?
Show answer and explanation
Answer: D
In 2016, the graph shows Prime Retail = 476 and Orbit Systems = 152. Difference = |476 – 152| = 324. So Prime Retail and Orbit Systems differ by 324 in 2016.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q15.
Revenue Earned by Different Companies, 2015-2019 (crore rupees)
What was the total revenue earned of Orbit Systems over the given years?
Show answer and explanation
Answer: B
The graph’s line for Orbit Systems gives 5 values: 97, 152, 346, 446, 255. Adding them: 97 + 152 + 346 + 446 + 255 = 1296. So the total revenue earned of Orbit Systems is 1296.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q16.
Revenue Earned by Different Companies, 2015-2019 (crore rupees)
What was the average revenue earned of Delta Foods over the given years?
Show answer and explanation
Answer: C
The graph’s line for Delta Foods totals 1757 across 5 points. Average = total divided by count = 1757 / 5 = 351.4. So the average revenue earned of Delta Foods is 351.4.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q17.
Revenue Earned by Different Companies, 2015-2019 (crore rupees)
Which category had the highest revenue earned in 2019?
Show answer and explanation
Answer: B
In 2019, the graph’s points read: Orbit Systems = 255, Prime Retail = 319, Infotech Ltd = 201, Nova Textiles = 92, Delta Foods = 386. Comparing all 5 values, Delta Foods is the highest. So Delta Foods had the highest revenue earned in 2019.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q18.
Revenue Earned by Different Companies, 2015-2019 (crore rupees)
In which year was the revenue earned of Delta Foods the highest?
Show answer and explanation
Answer: D
The graph’s line for Delta Foods reads: 2015 = 209, 2016 = 508, 2017 = 432, 2018 = 222, 2019 = 386. Comparing all 5 points, the peak is in 2016. So the revenue earned of Delta Foods was highest in that year.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q19.
Number of Books Sold by Genre Over 5 Quarters (thousands)
The books sold of Non-Fiction in Q1 is approximately what percentage of the books sold of Self-Help in the same quarter? (rounded to the nearest whole number)
Show answer and explanation
Answer: C
In Q1, the graph shows Non-Fiction = 125 and Self-Help = 171. Percentage = (125/171) x 100 = 73.10%. Rounded to the nearest whole number, that is 73%. Check: 73% of 171 is about 125, close to 125.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q20.
Number of Books Sold by Genre Over 5 Quarters (thousands)
Which category had the lowest books sold in Q2?
Show answer and explanation
Answer: B
In Q2, the graph’s points read: Self-Help = 33, Non-Fiction = 85, Children’s = 98, Biography = 114, Academic = 81. Comparing all 5 values, Self-Help is the lowest. So Self-Help had the lowest books sold in Q2.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q21.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What was the approximate percentage decrease in the books sold of Self-Help from Q4 to Q5?
Show answer and explanation
Answer: C
For Self-Help, the graph shows Q4 = 134 and Q5 = 97. Change = 97 – 134 = -37. Percentage change = ((97-134)/134) x 100 = -27.61%. Rounded, that is a 28% decrease from Q4 to Q5.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q22.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What is the difference between the books sold of Academic and Non-Fiction in Q4?
Show answer and explanation
Answer: A
In Q4, the graph shows Academic = 172 and Non-Fiction = 180. Difference = |172 – 180| = 8. So Academic and Non-Fiction differ by 8 in Q4.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q23.
Number of Books Sold by Genre Over 5 Quarters (thousands)
What was the total books sold of all categories over all quarters combined?
Show answer and explanation
Answer: C
The table has 5 rows and 5 columns, so 25 cells in all. Adding every cell together gives 2723. Check: adding each row’s total instead — 609 + 411 + 400 + 703 + 600 — also gives 2723. So the grand total books sold over all quarters combined is 2723.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q24.
Number of Books Sold by Genre Over 5 Quarters (thousands)
Which category had the highest books sold in Q5?
Show answer and explanation
Answer: D
In Q5, the graph’s points read: Self-Help = 97, Non-Fiction = 161, Children’s = 100, Biography = 170, Academic = 72. Comparing all 5 values, Biography is the highest. So Biography had the highest books sold in Q5.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples
Q25.
Number of Students Enrolled in Different Courses, 2013-2017
In which year was the students enrolled of B.A. the highest?
Show answer and explanation
Answer: C
The graph’s line for B.A. reads: 2013 = 120, 2014 = 293, 2015 = 757, 2016 = 535, 2017 = 867. Comparing all 5 points, the peak is in 2017. So the students enrolled of B.A. was highest in that year.
Related topics: Line Graphs: Formulas, Shortcuts and Solved Examples