CAT Bar Graph questions involve decoding the structured data to obtain meaningful results from the presented data. If practiced with accuracy CAT Bar Graph questions are very scoring. Good knowledge of bar charts helps draw an interpretation of data and questions asked in MBA entrance exams such as CAT. Check CAT Previous Year Question Papers of DILR

CAT Bar Graph questions will give you the information about a chart or graph representing data using rectangular bars, plotted horizontally or vertically that you need to understand before solving the questions in CAT 2021 exam. In those questions, one axis will represent the comparison of categories and the other axis will represent the particular value. Some bar graphs represent data in groups, show the importance of more than one variable. There are some sample questions related to Bar Chart are mentioned below:

Set 1 of Questions:

1. What is the ratio of the number of years, in which the foreign exchange reserves are higher than the average reserves, and lower the average reserves is?

a) 2:6

b) 3:4

c) 3:5

d) 4:4

2: How many times of the foreign exchange reserves in 2006-07 is higher than 2003-04?

a) 0.7

b) 1.2

c) 1.4

d) 1.5

3: For which year, foreign exchange reserves are higher than the previous year, is the highest?

a) 2001-02

b) 2002-03

c) 2003-04

d) 2005-06

4: What is the approximate percent of the foreign exchange reserves in 2005-06 to the average foreign exchange reserves over the period under review?

a) 95%

b) 110%

c) 115 %

d) 125%

Solution: The solution of all the questions asked above is done by simple mathematic calculations by using the concepts of averages, ratios, percentages, etc. First, understand the data given in the graph and then find the solution to the questions asked.

Ans 1: First calculate the average forex reserve and then find the ratio of the years by above the average and below the average.

Average Forex is calculated as (2640 + 3720 + 2520 + 3360 + 3120 + 4320 + 5040 + 3120) / 8 = 3480

The years below the average are 2000-01, 2002-03, 2003-04, 2004-05, 2007-08

The years that are above the average are 2001-02, 2005-06, 2006-07

Therefore, the ratio will be 3:5

Ans 2:

Forex in 2006-07 is 5040

Forex in 2003-04 is 3360

Therefore, the answer is 5040/3360 is 1.5

Ans 3: The years in which forex is higher than the previous year = 2001-02, 2003-04, 2005-06, 2006-07

Percentage increase in these years compared to last year are 2001-02 = (3720 – 2640)/ 2640 * 100 = 40.9090%

Percentage increase in 2003-04 = (3360 – 2520)/ 2520 *100 = 33.33%

Percentage increase in 2005-06= (4320 – 3120)/ 3120* 100 = 37.88%

Percentage increase in 2006-07 = (5040 – 4320) / 4320* 100 = 16.67%

Therefore, the answer is 2001-02

Ans 4: Average forex reserve is 3480. Forex Reserve of the 2005-06 year is 4320.

So, the percentage is [4320/ 3480]* 100 = 124.14% = 125%

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Set 2 of Questions:

The following chart represents the number of students of AMS careers from Lucknow center who qualify for either the CAT exam or XAT exam or CET exam or none of these exams. (Assume that students should not qualify for more than one exam.)

1: Calculate the percentage of students who cleared CAT in 2000?

a) 19.56%

b) 12.65%

c) 14.28%

d) 11.76%

2: Calculate the percentage of students who successfully qualify in at least one of the three exams in 2000?

a) 82.45%

b) 82.8%

c) 82.35%

d) 83.3%

3: Which year the institute gives the best result in the MBA entrance exam (in terms of percentage of students who qualify)?

a) 2000

b) 2001

c) 2002

d) Undetermined

4: How much percentage increase in the no. of students in 2002 compared to 2000?

a) 30%

b) 17.64%

c) 117.6%

d) 85%

Sol: There are some sub-categories in the bar graph as CAT, XAT, CET, and none, unlike the simple bar graph.

Ans 1: First calculate the percentage of students who qualify CAT in 2000,

According to the question, 20 students qualify CAT in 2000.

So, Total students are 170

Therefore, 20/170 *100 = 11.76%

Ans 2: Total students = 170

No. of students who are not fall in any category = 30

Therefore, percentage of students who qualify at least one = [(170 – 30) / 170] * 100 = 82.35%

Ans 3: Calculate the year-wise percentage of students who qualify at least one exam.

Therefore, the answer is 2001.

Ans 4: No of student in 2002 is 200 and no of student in 2000 is 170.

Percentage of student higher in 2002 than 2000 is (200-170)* 170= 17.64%

Therefore, the answer is 17.64%.

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Set 3 of Questions:

The total of the first three deficit countries and the next five deficit countries is 3594.3 and 2588.5 respectively, and the total of the last five deficit counties is 334.2.

1: Find the ratio between the difference between the highest and the lowest of the surplus countries with the difference between Bangladesh and Oman?

a) 3.44

b) 2.96

c) 4.5

d) 3.83

2: which country has similar to the deficit of the average of the total deficit of the middle 5 deficit?

a) Korea

b) South Africa

c) UAE

d) None of these

3: Find the surplus of which country is nearly equal to the average of the four surplus countries?

a) Sri Lanka

b) UAE

c) the USA

d) the UK

4: What is the total deficit/surplus?

a) 4666.6 surplus

b) 4666.6 deficit

c) 3836.5 deficit

d) None of these

Sol: Here various countries along with their surplus and deficit are provided. The values above the x-axis are positive and below are negative.

Ans 1: We need to calculate the here,

The ratio between the difference of highest and lowest surpluses are of UK and Sri Lanka respectively is 359.3. 94.7 is the difference between Bangladesh and Oman in terms of deficit.

Therefore, the required ratio is (349.3: 93.7)= 3.8264

Ans 2: The middle five deficit countries are India, New Zealand, South Africa, Korea, Namibia. The average of those is 1946.6/ 5 = 389.32, which is similar to Korea.

Ans 3: This question is similar to the above question. The answer is the USA

Ans 4: The net deficit/ surplus is the difference between Total surplus and Total deficit = 1850.4 – 6517 = 4666.6

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Set 4 of Questions:

Over the years the company had recruited people on an ad-hoc requirements basis, also selecting ex-defense servicemen and policemen. The following graph represents strength at various levels based on date.

Five years ago, Maxam Glass Co., estimate its staff requirement in the five levels as:

1: In which level the Ex-defence servicemen have the highest terms in percentage is

a) 1

b) 2

c) 3

d) 4

e) 5

2: If the company abolishes all vacant posts at all the levels, in which they find the highest reduction percentage?

a) 1

b) 2

c) 3

d) 4

e) 5

3: Which level has the lowest representation of Ex- defense servicemen?

a) 1

b) 2

c) 3

d) 4

e) 5

Sol.

Ans 1) Calculate the level-wise percentage of Ex-defence servicemen.

Therefore, the answer is Level 4.

Ans 2) Calculate the evaluation of reduction in staff percentage compared to the prescribed requirement.

Therefore, the solution is Level 5.

Ans 3) Level 1 has the lowest representation of Ex- defense servicemen.

Set 5 of Questions: 

The graph provides the details of ‘Number of Workers Employed’ and ‘Number of Units Shipped’ respectively of M/s Mega Corp Ltd. Answer the following questions.

1: Calculate the percent of increment of the number of temporary workers employed by M/s Mega Corp Ltd. from Apr 1 to May 1?

a) 40%

b) 25%

c) 20%

d) 12%

2: Calculate the difference in the number of permanent workers employed by M/s Mega Corp ltd. from March 1 to April 1?

a) 0

b) 50

c) 100

d) 150

3: If on May 1, 60% of permanent workers and 40% of temporary workers were women employed by M/s Mega Corp Ltd., how many of the workers were women employed by M/s Mega Corp Ltd. at the time?

a) 200

b) 120

c) 410

d) 260

Sol:

Ans 1. Temporary workers as on Apr 1 is 250 and on May 1 is 350

% increase of temporary workers is (350- 250)/250 * 100 = 40%

Ans 2. The difference in the number of permanent workers employed by M/s Mega Corp ltd. from March 1 to April 1 is 50

Ans 3. Permanent workers on May 1 are 450

Women workers on May 1 which is 60% of 450 = 270

Temporary workers as of May 1 are 350

Women workers on May 1 which is 40% of 350 = 140

Therefore, the total no of women = 410.

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