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# Line Graph Examples with Questions Notes | Study Logical Reasoning (LR) and Data Interpretation (DI) - CAT

## Document Description: Line Graph Examples with Questions for CAT 2022 is part of Line Charts for Logical Reasoning (LR) and Data Interpretation (DI) preparation. The notes and questions for Line Graph Examples with Questions have been prepared according to the CAT exam syllabus. Information about Line Graph Examples with Questions covers topics like and Line Graph Examples with Questions Example, for CAT 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Line Graph Examples with Questions.

Introduction of Line Graph Examples with Questions in English is available as part of our Logical Reasoning (LR) and Data Interpretation (DI) for CAT & Line Graph Examples with Questions in Hindi for Logical Reasoning (LR) and Data Interpretation (DI) course. Download more important topics related with Line Charts, notes, lectures and mock test series for CAT Exam by signing up for free. CAT: Line Graph Examples with Questions Notes | Study Logical Reasoning (LR) and Data Interpretation (DI) - CAT
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Data interpretation Line Graphs

What is a Line Graph?

A modified version of Bar Graph representation is said to be a Line Graph. On connecting the upper points of two adjacent Bars of a Bar Graph we get a line and on further repeating this procedure with other Bars we get a Line Graph representation.

Solving a Line Graph question

Problems based on line graphs appear frequently in competitive exams having data interpretation as a component. Given below is a popular type of question asked from line graphs:
DIRECTIONS: Study the following graph carefully and answer the questions given below. Example 1: In which of the following years was the percentage increase in income over the previous year the maximum?
1. 1989
2. 1990
3. 1991
4. 1992

Solution: Percentage increase= 100 × Increase/Previous year income. Option 3 is eliminated because there’s a decrease in income in 1991.

In 1989, percentage increase = 100 × 20/30 = 66.67%.

In 1990, percentage increase = 100 × 15/50 = 30%.

In 1992, percentage increase = 100 × 17.5/57.5 = 30.43%

(All the data is in Rs '00 cr.) Thus, Option 1 is the answer.

Alternatively,

For maximum % change, numerator should be the greatest and the denominator should be smallest. The numerator for 1989 is the greatest, while the denominator for the same year is the lowest as compared to corresponding figures for 1990 and 1992. So, you need not to find the exact percent increase of all the options given. Hence, answer is 1st option.
Example 2: What was the average income of the company over the years (approximately)?
1. 4500 cr
2. 500 cr
3. 5500 cr
4. 550 cr

Solution: Average in Rs '00 cr. = (30 + 50 +65 + 55 + 75 + 55)/6 = 55 =>Average= Rs 5500 cr. Hence, answer is 3rd option.

Example 3: What is the ratio of income to expenditure in the year 1990?
1. 1.2
2. 1.3
3. 1.1
4. 1.4
Solution: The income in the year 1990 is Rs. 6500 cr. and the expenditure is Rs. 5000 cr. Thus, the ratio in the year 1990 will be 6500/5000 = 1.3. Hence, answer is 2nd option.

Example 4: The total expenditure in 1988 and 1989 together was equal to the income in which of the following years?

1. 1900
2. 1991

3. 1993
4. None of these

Solution: The total expenditure in 1988 and 1989 together = Rs. 6000cr, which does not match with any other year's expenditure. So, the correct answer will be Option 4.

The document Line Graph Examples with Questions Notes | Study Logical Reasoning (LR) and Data Interpretation (DI) - CAT is a part of the CAT Course Logical Reasoning (LR) and Data Interpretation (DI).
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## Logical Reasoning (LR) and Data Interpretation (DI)

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## Logical Reasoning (LR) and Data Interpretation (DI)

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