Q.1 The line graph shows the sales of a company (in lakhs) from 2015 to 2020. If sales in 2015 were 20 lakhs and in 2020 were 50 lakhs, what is the average annual increase?
4 lakhs
5 lakhs
6 lakhs
7 lakhs
Explanation - Total increase = 50 - 20 = 30 lakhs over 5 years. Average annual increase = 30 / 5 = 6 lakhs.
Correct answer is: 6 lakhs
Q.2 If a line graph shows profit percentages from 2016 to 2021, and the line rises steeply between 2018 and 2019, what does it indicate?
Profit decreased
Profit remained same
Profit increased sharply
Profit was zero
Explanation - A steep upward slope indicates a sharp increase in profit percentage.
Correct answer is: Profit increased sharply
Q.3 In a line graph comparing imports and exports, if both lines intersect in 2019, what does that mean?
Imports exceeded exports
Exports exceeded imports
Imports equaled exports
No trade occurred
Explanation - Intersection point represents equal values of the two quantities plotted.
Correct answer is: Imports equaled exports
Q.4 A company’s revenue rose from 100 crores in 2017 to 160 crores in 2021. What is the percentage increase?
50%
60%
70%
80%
Explanation - Increase = 60 crores on 100 crores = 60%.
Correct answer is: 60%
Q.5 In a line graph, if the line is horizontal between 2018 and 2020, what can be inferred?
Values increased
Values decreased
Values remained constant
Values fluctuated
Explanation - A horizontal line shows no change in the variable over the period.
Correct answer is: Values remained constant
Q.6 If two lines in a graph show sales of Company A and Company B, and A’s line is consistently above B’s, what does it indicate?
Company A’s sales were higher
Company B’s sales were higher
Sales were equal
Data insufficient
Explanation - A line higher on the Y-axis represents higher values for the same period.
Correct answer is: Company A’s sales were higher
Q.7 If a line graph shows the population growth of a city and the slope decreases over years, what can we infer?
Population is declining
Growth rate is slowing down
Population doubled
Growth rate is increasing
Explanation - A decreasing slope shows a reduction in the rate of increase, not necessarily a decrease in total population.
Correct answer is: Growth rate is slowing down
Q.8 What does the slope of a line graph represent when plotting sales vs. time?
Total sales
Rate of change of sales
Profit percentage
Average sales
Explanation - The slope indicates how quickly sales change over time.
Correct answer is: Rate of change of sales
Q.9 A line graph shows the temperature over a day. The line rises from 6 AM to 2 PM and falls thereafter. What does this pattern indicate?
Constant temperature
Morning warming and evening cooling
Continuous rise
Continuous fall
Explanation - The rise indicates warming and the fall indicates cooling.
Correct answer is: Morning warming and evening cooling
Q.10 If the line graph shows an upward convex curve for profit, what does that imply?
Profit increasing at decreasing rate
Profit constant
Profit increasing at increasing rate
Profit decreasing
Explanation - An upward convex curve indicates acceleration in the increase of profit.
Correct answer is: Profit increasing at increasing rate
Q.11 In a line graph of production across months, the highest peak represents which of the following?
Lowest production
Average production
Highest production
No production
Explanation - A peak point represents the maximum value on the graph.
Correct answer is: Highest production
Q.12 If the Y-axis shows expenditure and the X-axis shows years, what does a downward slope signify?
Expenditure increased
Expenditure decreased
Expenditure constant
Expenditure doubled
Explanation - A downward trend shows reduction in expenditure over time.
Correct answer is: Expenditure decreased
Q.13 Which of the following helps to interpret a line graph most accurately?
Bar heights
Area under the line
Slope and intersection points
Colors used
Explanation - Slope and intersection points reveal trends and comparisons between variables.
Correct answer is: Slope and intersection points
Q.14 If a line graph shows a dip and then a rise, what does it indicate?
Constant increase
Fluctuation
Steady decrease
No change
Explanation - A dip followed by a rise shows fluctuation in the variable.
Correct answer is: Fluctuation
Q.15 The line graph for rainfall shows 10 cm in June and 30 cm in July. What is the percentage increase?
100%
150%
200%
300%
Explanation - Increase = (30 - 10)/10 × 100 = 200%.
Correct answer is: 200%
Q.16 If a company’s sales line graph shows a negative slope for three consecutive years, what does it suggest?
Sales increased
Sales constant
Sales declined continuously
Data missing
Explanation - A negative slope indicates decline over the time period shown.
Correct answer is: Sales declined continuously
Q.17 The intersection of two company lines in a profit line graph represents what point?
Equal profit
Equal sales
Equal years
Equal loss
Explanation - Intersection shows both companies having equal profit value at that year.
Correct answer is: Equal profit
Q.18 When two lines are parallel in a line graph, what can we infer?
Rates of change are equal
One variable is constant
Values are equal
Data is incorrect
Explanation - Parallel lines indicate equal slopes, hence equal rates of change.
Correct answer is: Rates of change are equal
Q.19 Which of the following best describes a line graph?
Shows data in circles
Shows data using bars
Shows trends over time
Shows proportions
Explanation - Line graphs are used to depict trends over a continuous period.
Correct answer is: Shows trends over time
Q.20 If the line graph shows GDP growth rate dropping from 8% to 4%, what is the percentage decrease?
25%
40%
50%
60%
Explanation - Decrease = (8 - 4)/8 × 100 = 50%.
Correct answer is: 50%
Q.21 In a dual-line graph of profit and revenue, if both lines rise but profit rises faster, what can be inferred?
Costs increased
Profit margin widened
Revenue fell
Data incorrect
Explanation - Faster growth in profit compared to revenue indicates improved margins.
Correct answer is: Profit margin widened
Q.22 If the line graph of population is linear and upward, what does it mean?
Constant rate of growth
Fluctuating growth
Decline
Population constant
Explanation - A straight upward line indicates uniform growth per period.
Correct answer is: Constant rate of growth
Q.23 If a line graph for annual profit shows sharp rise and fall each year, it indicates what?
Steady growth
Consistent losses
Volatility
Stable trend
Explanation - Frequent sharp changes in the line indicate instability or volatility.
Correct answer is: Volatility
Q.24 In a line graph, what does the area below the line represent?
Total change
Cumulative value
Average
Rate
Explanation - The area under the curve represents the total accumulation of the variable over time.
Correct answer is: Cumulative value
Q.25 What is the key advantage of using a line graph?
Shows proportions
Shows part-whole relation
Shows trends clearly
Shows discrete data
Explanation - Line graphs best display patterns or trends over continuous time.
Correct answer is: Shows trends clearly