Line Graph

Logical Reasoning and Data Interpretation (LRDI) in CAT or any other non-CAT exam, is about analyzing and interpreting data and bringing it to a meaningful conclusion. The huge pile of data needs to be sanitized, categorized, and then simplified into some information that can help in decision making. Line Graphs are one of the important types in the Graphs and Tables category. 

LRDI in CAT, XAT, and other exams have questions on Line Graphs every year. A line graph will be given, you will have to analyze and extract information from that and answer the questions that follow.

 

List of Concepts in that Chapter

There are two types in which Line Graph questions are prepared. 

Simple Line Graph – Questions in this type has a Line Graph that depicts the data present in the question, and you are supposed to analyze the graph

Line Graph couple with other graphs –In this type, Line graphs are usually mixed with histograms or dot chart 

 

Line Graphs – previous year questions

Question 1 – Based on the information answer the questions which follow. The data was collected for the industry to analyze the impact and importance of select parameters. The Figure represents the performance of the industry on select parameters which arc Fixed Capital. Materials, Value-added, and Number of Factories from the year 2008-09 to 2015-16. Total inputs – (Output — Value added). The table represents select performance indicators which are Output, Number of Workers, and Emoluments from the year 2008-09 to 2015-16.  [IIFT-2018/Set C]

YearOutput in Rs (billion)No. of workersEmoluments in Rs (billion)
2008-091144223996665
2009-101224125000981
2010-1114993289965102
2011-1218250325000135
2012-1319249330000147
2013-1421493380000177
2014-1523251369996202
2015-1625506399988245

Q.1) In which year fixed capital per factory is lowest?
Q.2) In which year Material as a proportion of ‘Total inputs’ is highest?
Q.3) For how many years annual percentage growth in fixed capital is greater than annual percentage growth in number of factories?

 

1) In which year fixed capital per factory is lowest?

2008 – 09: 5280/3800 = 1.38/ factory

2011-12: 6000/4175 = 1.43/ factory

2013-14: 8500/5000 = 1.7/ factory

2015-16: 10000/5000 = 2/factory

2) In which year Material as a proportion of ‘Total inputs’ is highest?

2008 – 09: 4500/(11442-4750) = 4500/6692 = 0.672

2009-10: 5200/7241 = 0.7181

2010-11: 6500/9493 = 0.68

2011-12: 8200/11750 = 0.69

3) For how many years annual percentage growth in fixed capital is greater than annual percentage growth in number of factories?

Year Fixed Cap No. of factors
2008-09 5200 15.3 3800 7.30%
2009-10 6000 3.3 4100 9.70%
2010-11 6200 12.9 4500 6.60%
2011-12 7000 0 4800 2.00%
2012-13 7000 21.4 4900 2.00%
2013-14 8500 5.85 5000 -2%
2014-15 9000 4900
2015-16 10000 11.11 5000 2%
for five years annual percentage growth in fixed capital is greater than annual percentage growth in number of factories

Words From Our Students ...

Nihar Mehta
Nihar Mehta
Calls from IIMs, SPJIMR & MDI
Read More
I joined the classroom coaching programme at MBA Pathshala for my CAT preparation. Since the very beginning, Abhijit Sir & Haider Sir guided me in terms of the strategy & the approach required in order to fare well in the exam. They not only stressed on the academics but also pushed me to build my profile aligned with my interests. Post CAT, they gave me ample practice for my GD & PI preparations with sufficient number of mock interviews & regular feedback for improvement. I managed to get calls from IIMs, SPJIMR & MDI. A huge part in this goes to the team at MBAP and I am cannot thank them enough for their contribution.
Ishan Rathod
Ishan Rathod
Calls from IIM I, S, and all New And Baby IIM's.
Read More
MBAP is great place to preparing for MBA-CET,CAT,CMAT and faculty are unbeatable. They are very helpful best part is they give personal attention to each and every students. Most of faculty...who are alumni of IIM and JBIMS. There is more one to one interaction which helped me get better as the exams approached and helped me get calls from IIM I, S, and all New And Baby IIM's. The interview sessions proved to be of great learning helped me convert IIM S
Sanskriti Reja
Sanskriti Reja
Calls from IIMs, XLRI, XIMB
Read More
MBA Pathshala was my first choice for MBA coaching and I'm happy that joined it. The faculty here is great.. they are really good in what they do. They supported me and motivated me during my journey of clearingthe entrances. They are always available for the doubts, extra lectures. they helped me get through my GD-PIs too after the exams. I am thankful to MBAP for helping me to crack CAT and other entrance exams. I got calls from XLRI, XIMB, IIMs, among others. I have converted colleges like KJ Somaiya, TAPMI, IIM Sambalpur, IIM Sirmaur.
Parth Kanakia
Parth Kanakia
Converted SPJIMR
Read More
I joined MBAP for GD, WAT & PI preparation. Received very good training from Abhijit Singh, Haider and other MBAP faculty. Starting from very basics, good knowledge was provided. Mock interviews were conducted on regular basis. I converted SPJIMR and I would definitely recommend students to join MBAP.
Ronit jaiswal
Ronit jaiswal
Calls from IIM-A/B/C & SNAP 98.12%ile
Read More
I wanted to join a coaching where I can get personalised attention and competitive environment. I got both in MBAP. All the preparation was so rigorous that I eventually started giving my best. They conducted mock interviews/GD/WAT with anonymous panels and trust me it was such a confidence booster. I got a call from SCMHRD (SNAP-98.12) However I always wanted to go for IIM and Abhijeet sir felt that and he convinced me to try again and aim for IIM-A/B/C. Here I am back under his mentorship again. In short give your best and they will bring the best out of you. P.S- I'm a working individual. If I can do it then anybody can. Thank you for being such a great mentors.
Maitreya Khanapurkar
Maitreya Khanapurkar
Calls From IIMs
Read More
Best learning experience.Faculties are good and you will get a good support from them till you get admission into a B-School.The shortcut techniques taught will be of great help for you. Doubts will be solved anytime you want. If planning for CAT CET or any entrance exam go for MBA Pathshala. It was of tutors at MBAP I received a call from IMT Ghaziabad.
Yash Dandavate
GMAT Score - 660
Read More
I joined MBAP for GMAT prep and my experience with them was really amazing, from the first day itself the faculties gave personal attention to each student and made sure each student had their own personalised GMAT and CAT prep plans. The Verbal faculty Rohan Kulkarni Sir was amazing, I was very weak in English and verbal section, but through his guidance I scored a V38 (85th percentile) in my GMAT exam. The Quant faculties Abhijeet and Haider Sir helped me develop strategies and short cuts to approach GMAT problems and we're always available for my doubts. Overall it was a great experience and I would reccomend MBAP to everyone for GMAT and CAT prep
Previous
Next

Sample Questions

Question 1 The birth and death rates of a particular city are given below. Study the chart carefully and answer the given questions:

Calculate the average number of births in the city between 2001 to 2005.

a. 4.4 million

b. 4 million

c. 2.8 million

d. 3.2 billion

From the graph, calculate the values of total births between 2001 to 2005. Then find the average of them.

So, average births = (3.5 + 4 + 5 + 3 + 6.5)/ 5 = 4.4.

Therefore, the average births between 2001 to 2005 is 4.4 million (since units are in millions).

Hence, option (c) is the answer.

By what percent (approx.) did the number of births increased in 2005 from the previous year?

a. 180

b.150

c.90

d.117

Solution:

Increase in deaths from 2004 to 2005  = 6.5 – 3 = 3.5 million

Percentage increase in deaths = (3.5 / 3) × 100 = 116.66 %.

The closest option is 117 %, hence the answer will be option (d).

Calculate the difference between the number of deaths and the number of births over the years.

a.5million

b.6million

c.1billion

d.3million

Solution:

Total deaths over the years = 27 

Total births over the years = 22

The difference in deaths and births = 27 – 22 = 5.

Hence, the correct answer will be option (a) i.e. 5 million.

In which year the percentage increase in birth rate over the previous year was the maximum?

a.2001

b.2002

c.2003

d.2004

e. 2005

Solution: 

Percentage increase or decrease for any given year = (difference of values from previous year/ value in that year) × 100.

For 2002, percentage increase  = (4 – 3.5) × 100 = 50 %.

For 2003, percentage increase = 100 %.

For 2004, percentage increase = 200 % (decrease).

For 2005, percentage increase is = 350 %.

Therefore, percentage increase was highest in 2005 and so, option (e) is the correct answer.

Question 2 The following graph shows the quantity of milk and the food grains consumed by the male and female population, annually. Read the graph and answer the questions:

i) Per capita production of milk was least in which year

Solution The overall production is increasing steadily but the milk produced decreased a sudden decline in 1996. Hence, to calculate least capita production we should consided 1990 and 1996

In 1990, Per capita production = Total milk produced/ Total population = (5 milion gallons/ 69 million) 

Thus, per capita production = 0.072 gallon/ person

In 1996, Per capita production = Total milk produced/ Total population = (6 milion gallons/ 82 million) 

Thus, per capita production = 0.073 gallon/ person

Hence, the year with least year capita production is 1991. 

How to Prepare

Preparing any topic from the scratch requires patience, hard work, and above all commitment. Line Graphs are usually easy, to prepare for them follow the steps:

Level – 1

  1. Learn Speed calculation: For an effective and quick calculation, be thorough with tables till 20, memorize squares till 30, and cubes till 15. Extracting data from Line Graphs into a table consumes most of the time; speedy calculation tricks can help you analyze data in the table quickly
  2. Fraction – Percentage relation: Most of the questions require approximate calculations, knowing the percentage – fraction conversion will help solve the problem quickly
  3. Practice beginner level questions on Line Graphs 

Level – 2

  1. Move on to more complex problems, attempt beginner and intermediate level mock on Line Graphs
  2. Solve previous year questions on Line Graphs and keep a watch on time
  3. Keep attempting mocks to check your performance
  4. Topic-wise mocks, provided by MBAP, can be utilized to enhance your performance

Level – 3

  1. For advanced level preparation, start practising questions from “How to prepare for Data Interpretation” by Arun Sharma
  2. Questions in the book are categorized into Level of Difficulty (LOD), based upon your preparation level, start attempting 3 or 4 questions daily