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CAT Introduction to Line Graphs - Practice Questions & MCQ

Edited By admin | Updated on Sep 25, 2023 25:47 PM | #CAT

Quick Facts

  • 23 Questions around this concept.

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Directions for question:
The following line graphs depict the number of sales executives of the antiseptic division of M/s G D Pharmaceuticals of Kolkata (first graph), and the sales revenue (in crores of Rs) per executive per year of their iconic product Boroline (second graph), from 2018 to 2022.
The total sales revenue in a year equals the product of the sales revenue per executive per year and the number of executives in the year.

Question: In which year was the sales revenue of M/s G D Pharmaceuticals from Boroline the highest?

Directions for question:
The following line graphs depict the number of sales executives of the antiseptic division of M/s G D Pharmaceuticals of Kolkata (first graph), and the sales revenue (in crores of Rs) per executive per year of their iconic product Boroline (second graph), from 2018 to 2022.
The total sales revenue in a year equals the product of the sales revenue per executive per year to the number of executives in the year.

Question: If the profit percentage from Boroline made in the year 2019 was 45%, what was the amount of profit per sales executive (in crores of Rs) made from Boroline in 2019?

Directions for question:
The following line graphs depict the number of sales executives of the antiseptic division of M/s G D Pharmaceuticals of Kolkata (first graph), and the sales revenue (in crores of Rs) per Executive per year of their iconic product Boroline (second graph), from 2018 to 2022.
The total sales revenue in a year equals the product of the sales revenue per executive per year and the number of executives in the year.

Question: In how many years was the number of sales executives more than the average number of sales executives for the given period?

Directions for question: The following line graph shows the ratio of the sales of the Petrol and Diesel versions of SUVs (calculated in rupees) made by the two automobile giants of India – Tata Motors Ltd and Mahindra and Mahindra Ltd (M and M Ltd), in India, for a period of six years from 2017 to 2022:

Question: In how many of the years from 2017 to 2022 were the Diesel version of SUV sales less than or equal to the Petrol version of SUV sales for both Mahindra and Mahindra Ltd and Tata Motors Ltd?

Directions for question: The following line graph shows the ratio of the sales of the Petrol and Diesel versions of SUVs (calculated in rupees) made by the two automobile giants of India – Tata Motors Ltd and Mahindra and Mahindra Ltd (M and M Ltd), in India, for a period of six years from 2017 to 2022:


Question: From 2017 to 2022, if the Diesel version SUV sales of Mahindra and Mahindra Ltd had consistently increased at a rate of three per cent per annum, then in which year was the Petrol version SUV sales of Mahindra and Mahindra Ltd the minimum among the six years?

Directions for question:
The following Line Graph depicts the Mark-up percentage and the Discount percentage of six types of hand-woven Murshidabad-silk sarees A to F at a Tantuja Store in Kolkata, the West Bengal government handloom and silk saree shop.

Question: The cost price of Murshidabad-silk saree type A and saree type E is Rs 500 and Rs 600 respectively. 
Quantity A: The difference between the selling price of Murshidabad-silk saree type A and saree type E.
Quantity B: Rs 170

Concepts Covered - 1

Introduction to Line Graphs
  • Line graphs, also known as line charts, are a visual representation of data that show trends and changes over a continuous period.
  • They are especially useful for displaying data that varies continuously, such as temperature, stock prices, or population growth.
  • Line graphs use data points connected by lines to illustrate how values change over time or across a continuous variable.

Key Components of Line Graphs:

  • Data Points (Markers):
    • Each data point on a line graph represents a specific value at a particular point in time or along a continuous scale.
    • Data points are marked on the graph to visualize the values accurately.
  • Lines:
    • Lines connect the data points, forming a continuous curve or line that represents the changes in data over the given period.
    • The shape of the line provides insights into the overall trend.
  • Axes:
    • Line graphs have two axes: the horizontal (x) axis and the vertical (y) axis.
    • The x-axis typically represents time, months, or a continuous variable.
    • The y-axis displays the corresponding values or measurements.

Interpreting Line Graphs:

  • Line graphs are ideal for comparing changes in data across the same period for different groups or variables.
  • They help us visualize trends, patterns, and variations in data over time.

Example: Temperature Over a Year

Interpretation:

  • The x-axis represents the months of the year from January (Jan) to December (Dec).
  • The y-axis represents the average monthly temperature in degrees Celsius (°C).
  • The line connects data points to show the trend in temperature over the year.

Key Observations:

  • Temperature Variation: The temperature starts low in January and gradually increases, peaking in July.
  • Seasonal Patterns: From July onwards, the temperature decreases, reaching its lowest point in December.
  • Cyclic Trend: The line graph reveals a cyclic trend of warming and cooling over the course of a year.

Sample Questions:

  • What was the highest temperature recorded during the year?
    • Answer: The highest temperature recorded was around 32°C in July.
  • In which month did the temperature experience the most significant increase?
    • Answer: The temperature experienced the most significant increase from March to July.
  • What is the approximate difference in temperature between September and December?
    • Answer: The approximate difference in temperature between September and December is about 16°C (28°C - 12°C).

Conclusion: Line graphs are powerful tools for visualizing trends and changes over time or along a continuous scale. They facilitate the interpretation of data patterns and variations, making them essential for data analysis and effective communication of information. Mastery of line graph interpretation is valuable for a wide range of fields, from finance to climate science, as it enables informed decision-making based on data trends

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