Line Graph Questions for Competitive Exams

Line Graph Questions for Competitive Exams

Line Graphs: Data Interpretation for Competitive Exams

What is a Line Graph?
A line graph is a chart that uses points connected by lines to show trends or changes in data over a period. It is commonly used to track:

  • Sales over months
  • Population growth over years
  • Stock prices over time

Tips for Solving Line Graph Questions:

  1. Identify the x-axis (time/period) and y-axis (quantity/value).
  2. Check for units (₹, km, %, etc.).
  3. Calculate differences, averages, percentages, or ratios using the graph.
  4. Look for trends: increasing, decreasing, constant.

Top 25 Line Graph Questions

Caselet 1: Monthly Sales of a Store

Sales (in ₹ thousands) over 6 months:

  • Jan = 50, Feb = 60, Mar = 55, Apr = 70, May = 65, Jun = 75

Questions:

  1. Month with highest sales?
  2. Month with lowest sales?
  3. Total sales over 6 months?

Caselet 2: Students Appearing in Exams

Number of students appeared over 5 years:

  • 2017 = 400, 2018 = 450, 2019 = 500, 2020 = 550, 2021 = 600

Questions:
4. Year with maximum students?
5. Increase in students from 2017 to 2021?
6. Average number of students over 5 years?

Caselet 3: Production of Cars

Monthly production of a car company (in units):

  • Jan = 120, Feb = 150, Mar = 130, Apr = 160, May = 140, Jun = 170

Questions:
7. Month with lowest production?
8. Total production in 6 months?
9. Average monthly production?

Caselet 4: Company Profit (₹ lakhs)

Profit over 6 months:

  • Jan = 5, Feb = 8, Mar = 6, Apr = 9, May = 7, Jun = 10

Questions:
10. Month with highest profit?
11. Month with lowest profit?
12. Total profit over 6 months?

Caselet 5: Temperature over a Week

Temperature (°C):

  • Mon = 22, Tue = 25, Wed = 24, Thu = 26, Fri = 23, Sat = 27, Sun = 25

Questions:
13. Highest temperature day?
14. Lowest temperature day?
15. Average temperature over the week?

Caselet 6: Website Visitors (in thousands)

Number of visitors over 5 months:

  • Jan = 20, Feb = 25, Mar = 30, Apr = 28, May = 35

Questions:
16. Month with maximum visitors?
17. Month with minimum visitors?
18. Total visitors over 5 months?

Caselet 7: Rainfall (mm)

Monthly rainfall:

  • Jan = 50, Feb = 40, Mar = 60, Apr = 30, May = 70, Jun = 80

Questions:
19. Month with maximum rainfall?
20. Month with minimum rainfall?
21. Total rainfall over 6 months?

Caselet 8: Stock Prices (₹)

Closing prices of a stock over 7 days:

  • Mon = 120, Tue = 125, Wed = 123, Thu = 128, Fri = 130, Sat = 127, Sun = 132

Questions:
22. Highest stock price?
23. Lowest stock price?
24. Average stock price?

Caselet 9: Fuel Consumption (litres)

Fuel consumption of a vehicle per day:

  • Mon = 15, Tue = 18, Wed = 17, Thu = 16, Fri = 19, Sat = 20, Sun = 18

Questions:
25. Day with highest consumption?
26. Day with lowest consumption?
27. Total fuel consumed in a week?

Caselet 10: Students Scores (Marks)

Scores of a student in 5 subjects:

  • Math = 85, Science = 90, English = 80, History = 75, Geography = 70

Questions:
28. Subject with highest score?
29. Subject with lowest score?
30. Average score?

Answer

Answers: Line Graph Questions (Top 25 Caselets)

Caselet 1: Monthly Sales of a Store

Sales (₹ thousands): Jan=50, Feb=60, Mar=55, Apr=70, May=65, Jun=75

  1. Month with highest sales = June (75) ✅
  2. Month with lowest sales = January (50) ✅
  3. Total sales = 50 + 60 + 55 + 70 + 65 + 75 = 375 ✅

Caselet 2: Students Appearing in Exams

Students appeared: 2017=400, 2018=450, 2019=500, 2020=550, 2021=600

  1. Year with maximum students = 2021 (600) ✅
  2. Increase from 2017 to 2021 = 600 − 400 = 200 students ✅
  3. Average over 5 years = (400+450+500+550+600)/5 = 2500/5 = 500 students ✅

Caselet 3: Production of Cars

Production (units): Jan=120, Feb=150, Mar=130, Apr=160, May=140, Jun=170

  1. Month with lowest production = January (120) ✅
  2. Total production = 120+150+130+160+140+170 = 870 ✅
  3. Average monthly production = 870 ÷ 6 ≈ 145 units ✅

Caselet 4: Company Profit (₹ lakhs)

Profit: Jan=5, Feb=8, Mar=6, Apr=9, May=7, Jun=10

  1. Month with highest profit = June (10) ✅
  2. Month with lowest profit = January (5) ✅
  3. Total profit = 5+8+6+9+7+10 = 45 lakhs ✅

Caselet 5: Temperature over a Week

Temperature (°C): Mon=22, Tue=25, Wed=24, Thu=26, Fri=23, Sat=27, Sun=25

  1. Highest temperature day = Saturday (27°C) ✅
  2. Lowest temperature day = Monday (22°C) ✅
  3. Average temperature = (22+25+24+26+23+27+25)/7 = 172/7 ≈ 24.57°C ✅

Caselet 6: Website Visitors (thousands)

Visitors: Jan=20, Feb=25, Mar=30, Apr=28, May=35

  1. Month with maximum visitors = May (35) ✅
  2. Month with minimum visitors = January (20) ✅
  3. Total visitors = 20+25+30+28+35 = 138 thousand ✅

Caselet 7: Rainfall (mm)

Rainfall: Jan=50, Feb=40, Mar=60, Apr=30, May=70, Jun=80

  1. Month with maximum rainfall = June (80) ✅
  2. Month with minimum rainfall = April (30) ✅
  3. Total rainfall = 50+40+60+30+70+80 = 330 mm ✅

Caselet 8: Stock Prices (₹)

Stock: Mon=120, Tue=125, Wed=123, Thu=128, Fri=130, Sat=127, Sun=132

  1. Highest stock price = Sunday (132) ✅
  2. Lowest stock price = Monday (120) ✅
  3. Average stock price = (120+125+123+128+130+127+132)/7 = 885/7 ≈ 126.43 ✅

Caselet 9: Fuel Consumption (litres)

Consumption: Mon=15, Tue=18, Wed=17, Thu=16, Fri=19, Sat=20, Sun=18

  1. Day with highest consumption = Saturday (20 L) ✅
  2. Day with lowest consumption = Monday (15 L) ✅
  3. Total fuel consumed = 15+18+17+16+19+20+18 = 123 L ✅

Caselet 10: Student Scores (Marks)

Scores: Math=85, Science=90, English=80, History=75, Geography=70

Average score = (85+90+80+75+70)/5 = 400/5 = 80 marks ✅

Subject with highest score = Science (90) ✅

Subject with lowest score = Geography (70) ✅