XAT Special Charts Questions

XAT Special Charts questions stand out for their unconventional and complex presentation of data, often going beyond standard chart types like bar graphs or pie charts. These may include spider charts, bubble charts, heat maps, or hybrid formats combining multiple data representations. Such questions test a candidate's adaptability, analytical thinking, and ability to synthesize information from unfamiliar formats. To check similar important topics, checking with the XAT syllabus will help you understand better and plan your preparation accordingly.

Along with this, we recommend you to solve questions from XAT previous papers. This will help you in knowing the question types and various type of questions being asked in the actual exam. We've compiled all the questions with detailed solutions from previous exams to help you with your preparation. You could download them as PDF and solve them as per your convenience.

XAT Special Charts Questions

Instructions

Read the following scenario and answer the THREE questions that follow.
Light Chemicals is an industrial paint supplier with presence in three locations: Mumbai, Hyderabad and Bengaluru. The sunburst chart below shows the distribution of the number of employees of different departments of Light Chemicals. There are four departments: Finance, IT, HR and Sales. The employees are deployed in four ranks: junior, mid, senior and executive. The chart shows four levels: location, department, rank and gender (M: male, F: female). At every level, the number of employees at any location/department/rank/gender are proportional to the corresponding area of the region represented in the chart.
Due to some issues with the software, the data on junior female employees have gone missing. Notice that there are junior female employees in Mumbai HR, Sales and IT departments, Hyderabad HR department, and Bengaluru IT and Finance departments: the corresponding missing numbers are marked u, v, w, x, y and z in the diagram, respectively.
It is also known that:
a) Light Chemicals has a total of 210 junior employees.
b) Light Chemicals has a total of 146 employees in the IT department.
c) Light Chemicals has a total of 77 employees in the Hyderabad office.
d) In the Mumbai office, the number of junior female employees is 55.

Question 1

Based on the given information and the sunburst chart, the MOST LIKELY values of u, v and w, respectively, are:

30, 20, 5

20, 25, 10

20, 20, 15

10, 40, 5

25, 20, 10

Video Solution

Solution

It is given to us that Light Chemicals has a total of 210 junior employees.
This means that: 25 + w + 30 + v + u + 15 + 18 + z + 16 + y + x + 10 = 210 ==> u + v + w + x + y + z = 96.

Then, Light Chemicals has a total of 146 employees in the IT department.
This means that: 22 + 15 + 25 + w + 14 + 8 + 16 + y + 12 + 10 = 146 ==> w+y = 24.

Then, Light Chemicals has a total of 77 employees in the Hyderabad office.
This means that: 13 + 11 + 9 + 7 + x + 10 + 9 + 6 = 77 ==> x = 12.
From these 3 equations, we get u + v + z = 60.

Then, In the Mumbai office, the number of junior female employees is 55.
This means that: w + v + u = 55.
Subtracting this from the 1st equation, we get x + y + z = 41 and subtracting value of x from this, we get y+z = 29.

We are given that: At every level, the number of employees at any location/department/rank/gender are proportional to the corresponding area of the region represented in the chart.
it implies that v > u > w.
This means that the possible option is either B or D. But in option D, v is 4 time u which is not proportionately correct in the chart.
Thus, the possible values are 20, 25, 10 i.e. Option B.

Instructions

Question 2

Based on the given information and the sunburst chart, which of the following has the HIGHEST number of employees?

IT department, all offices together

Bengaluru office

Sales department of Mumbai office

Cannot be answered uniquely based on the given information

Mid-level, all offices together

Video Solution

Solution

It is given to us that Light Chemicals has a total of 210 junior employees.
This means that: 25 + w + 30 + v + u + 15 + 18 + z + 16 + y + x + 10 = 210 ==> u + v + w + x + y + z = 96.

Then, Light Chemicals has a total of 146 employees in the IT department.
This means that: 22 + 15 + 25 + w + 14 + 8 + 16 + y + 12 + 10 = 146 ==> w+y = 24.

Then, Light Chemicals has a total of 77 employees in the Hyderabad office.
This means that: 13 + 11 + 9 + 7 + x + 10 + 9 + 6 = 77 ==> x = 12.
From these 3 equations, we get u + v + z = 60.

Now, the values of:
A. IT department, all offices together is 146(b).
B. Bengaluru office : 22+20+18+z+16+y+12+10+8+6 = 102 + y+z = 102+29 = 131.
C. Sales Department of Mumbai Office: 30+v+12+10 = 52 + v. As w+v+u = 55, v is definitely smaller than 55 and thus 52+v is smaller than 107.
E. Mid-level, all offices together: 22+15+18+12+20+22+13+11 = 133.

The maximum value is of Option A.

Instructions

Question 3

Based on the given information and the sunburst chart, which of the following statements CANNOT BE TRUE?

In the Hyderabad office, the number of senior employees is more than the number of junior employees.

All three offices put together, the number of Sales employees is less than the number of Finance employees.

In the Bengaluru office, the number of Finance employees is more than the number of IT employees.

Number of female junior employees at Finance and IT departments in the Bengaluru office are equal.

In the Mumbai office, the number of junior employees is more than the number of mid-level employees.

Video Solution

Solution

It is given to us that Light Chemicals has a total of 210 junior employees.
This means that: 25 + w + 30 + v + u + 15 + 18 + z + 16 + y + x + 10 = 210 ==> u + v + w + x + y + z = 96.

Then, Light Chemicals has a total of 146 employees in the IT department.
This means that: 22 + 15 + 25 + w + 14 + 8 + 16 + y + 12 + 10 = 146 ==> w+y = 24.

Then, Light Chemicals has a total of 77 employees in the Hyderabad office.
This means that: 13 + 11 + 9 + 7 + x + 10 + 9 + 6 = 77 ==> x = 12.
From these 3 equations, we get u + v + z = 60.

Number of female junior employees in Finance department of Bengaluru = z and number of female junior employees in IT department in Bengaluru = y.
$$y\ne\ z$$ because y+z = 29 and thus they have to be distinct otherwise they won't be having a natural number value.
thus, the answer is Option D.

Instructions

Read the following scenario and answer the THREE questions that follow.

Comprehension:
The plots below depict and compare the average monthly incomes (in Rs. ’000) of males and females in ten cities of India in the years 2005 and 2015. The ten cities, marked A-J in the records, are of different population sizes. For a fair comparison, to adjust for inflation, incomes for both the periods are scaled to 2025 prices.

Each red dot represents the average monthly income of females in a particular city in a particular year, while each blue dot represents the average monthly income of males in a particular city in a particular year. The gender gap for a city, for a particular year, is defined as the absolute value of the average monthly income of males, minus the average monthly income of females, in that year.

Question 1

In which city did the gender gap, in terms of 2025 prices, change the least, from 2005 to 2015, in terms of percentage?

Video Solution

Instructions

Read the following scenario and answer the THREE questions that follow.

Question 2

Which of the following statements, about the average monthly incomes of the 10 cities, as represented in the plots, is DEFINITELY FALSE?

In terms of 2025 prices, the average gender gap of the 10 cities combined in 2015 was less compared to the average gender gap of the 10 cities combined in 2005.

In terms of 2025 prices, the median monthly income of men of the 10 cities combined were higher than the median monthly income of women of the 10 cities combined, both in 2005 and 2015.

In terms of 2025 prices, the average monthly income of men of the 10 cities combined was less than Rs. 30,000 in 2005.

In terms of 2025 prices, in more than half of the 10 cities, average monthly incomes of men were more in 2005, compared to 2015.

In terms of 2025 prices, the average monthly income of women of the 10 cities combined was less than Rs. 22,000 in 2015.

Video Solution

Solution

Option A: average gender gap of the 10 cities in 2005 = 11.25.

average gender gap of the 10 cities in 2015 = 7.75. The average in 2015 is less than in 2005.

Option B: Median of men's income in 2005 = 32.5

Median of women's income in 2005 = 22.5

Median of men's income in 2015 = 32.5

Median of women's income in 2015 = 22.5

Median of men's income is higher than median of women's income in both the years.

Option C: The average men's income in all 10 cities in 2005 is more than or equal to 30,000. So, there is no way for the average to be less than Rs. 30,000.

So, option C is false.

Option D: We can clearly see that the average monthly income of men in 2005 in 6 cities is more than that in 2015 which satisfies the given statement.

Option E: There are some cities where the average income for women is less than Rs. 22,000.

Since the population can be more in those cities, we can't say if the average income of women is less than Rs. 22,000. So, there is a case for this statement to be true.

Instructions

Read the following scenario and answer the THREE questions that follow.

Question 3

Rs.100 in 2025 is worth Rs. 60 in 2015 prices, and Rs. 25 in 2005 prices. Based on the given plots, which of the following statements, about the unscaled incomes, i.e., the incomes before scaling to 2025 prices, CANNOT be correct? (All statements refer to people represented in the given plots.)

Average unscaled income for both genders increased in all 10 cities from 2005 to 2015

Average unscaled income of women was about Rs. 15,000 in 2015 in City H

Average unscaled income of men in City E increased by about 140% from 2005 to 2015

Average unscaled income of women in City G increased by about 120% from 2005 to 2015

The unscaled gender gaps reduced in all 10 cities from 2005 to 2015

Video Solution

Solution

We are told that Rs.100 in 2025 is worth Rs. 60 in 2015 and Rs. 25 in 2005.

Option A: Average unscaled income for both genders increased in all 10 cities from 2005 to 2015

This is true. The average unscaled income of both males and females for all 10 cities will be more in 2015 than in 2005. The unscaled income in 2005 is $$\frac{1}{4}$$th of value given in the graph. While in 2015, it is $$\frac{3}{5}$$th of value given in the graph. For almost all the points, the values in 2015 are more than that in 2005. And for those values that are lesser in 2015 than in 2005, when the values are scaled as stated in the question, the value in 2015 will be more than 2005 as they don't have that much margin.

Option B: The average unscaled income of women was about Rs. 15,000 in 2015 in City H

The lowest value of the average income of women in 2015 across all cities was 27.5.

Its unscaled value = $$\frac{27.5*60}{100}$$ = 16.5. This is more than 15,000. So, this option is correct.

Option C: The average unscaled income of men in City E increased by about 140% from 2005 to 2015

Average income of men in City E in 2005 = 32,500

Its unscaled value will be $$32500\cdot\frac{25}{100}$$= 8125

Average income of men in City E in 2015 = 32,500

Its unscaled value will be $$32500\cdot\frac{60}{100}$$= 19,500

$$\frac{\left(19500-8125\right)}{8125}\times\ 100=140\%$$

So, option C is also correct.

Option D: Average unscaled income of women in City G increased by about 120% from 2005 to 2015

Average income of women in City G in 2005 = 30,000

Its unscaled value will be $$30000\cdot\frac{25}{100}$$= 7500

Average income of women in City G in 2015 = 27,500

Its unscaled value will be $$27500\cdot\frac{60}{100}$$= 16,500

$$\frac{\left(16500-7500\right)}{7500}\ \times\ 100=120\%$$

So, this is also a correct option.

Option E:

The unscaled gap for city G in 2005 is more than in 2015.

So, this is an incorrect statement.

Instructions

Go through the information given below, and answer the THREE questions that follow.Comprehension:The three graphs below capture relationship between economic (and social) activities and subjective well-being. The first graph (Graph-1) captures relationship between GDP (percapita) and Satisfaction with life, across different countries and four islands: Gizo, Roviana, Niijhum Dwip, and Chittagong. The Graph-2 captures three different measures of subjective well-being (Satisfaction with life, Affect Balance and Momentary Affect) across the four islands, which have different levels monetization (Index). The Graph-3 captures levels of thirteen different socio-economic activities across four islands.

Question 1

Which of the following will BEST capture the relationship between GDP (x-axis) and Life Satisfaction (y-axis) of countries?

$$y = x$$

$$y = x^2$$

$$y = \log(x)$$

$$y = \frac{1}{x^2}$$

$$y = e^x$$

Instructions

Question 2

Which of the following, about the four islands, can be BEST inferred from the graphs?

Whenever affect balance increases, satisfaction with life decreases

Whenever Pleasant activities increase, satisfaction with life decreases

Whenever Religion increases, satisfaction with life decreases

Whenever satisfaction with life increases, family also increases

Index of monetization varies maximum in Niijhum Dwip

Instructions

Question 3

Which of the following site has the highest fishing to economic ratio?

Gizo

Chittagong

Roviana

Niijhum Dwip

All four islands have equal dependence

Instructions

The grid below captures relationships among seven personality dimensions: "extraversion", "true_arousal_plac", "true_arousal_caff”, "arousal_plac", "arousal_caff”, "performance_plac", and "performance caff”. The diagonal represents histograms of the seven dimensions. Left of the diagonal represents scatterplots between the dimensions while the right of the diagonal represents quantitative relationships between the dimensions. The lines in the scatterplots are closest approximation of the points. The value of the relationships to the right of the diagonal can vary from -1 to +1, with -1 being the extreme linear negative relation and +1 extreme linear positive relation. (Axes of the graph are conventionally drawn).

Question 1

Which of the following is true?

"Extraversion" has two modes.

Median for "arousal_plac" is definitely the same as its average.

Median for "arousal_caff" is definitely higher than its average.

Median for "performance_plac" is definitely lower than its average.

Median for "performance_caff" is definitely lower than its average.

Video Solution

Solution

Histogram is a graph which depicts the frequency of occurence of values in different ranges.
For example, lets consider 50 students attended an exam. The distribution of number of students in different score ranges is depicted by the following histogram

In this question we have histograms for different personality dimensions.
However the x and y co-ordinates are not given.
Since the y co-ordinate gives us frequency/number of occurences of a certain value, we can use a histogram to calculate mean median and mode even without details of x-y co ordinate axes

Option A : "Extraversion" has 2 modes.

We can calculate mean of a histogram table by averaging all the values

We can calculate the median of a histogram table by arranging the histograms in ascending order and the bar/value which is in the middle will get the median.

Median for "arousal_plac" = -3

Avergae for "arousal_plac" = (-4-3-2+1+0-3-4)/7 = -15/7 = -2.143

Median for "arousal_caff" = 0

Average for "arousal_caff" = (-1.5-1.5+2+1.75+1.5+1.75+1+0-0.5-2-2)/11 = 0.0454

Median for "performance_plac" = 0.075

Average for "performance_plac" = (0.025+0.075+0.05+0.1+0.2)/5 = 0.09

Median for "performance_caff" = 0.075

Average for "performance_caff" = (0.05+0.25+0.09+0.075+0.08+0.075+0.085+0.1+0.1+0.15+0.18)/11 = 0.1122

Instructions

Question 2

Which of the scatterplots shows the weakest relationship?

Between "extraversion" and "performance_caff".

Between "true_arousal_plac" and "arousal_plac".

Between "true_arousal_plac" and "performance_plac".

Between "true_arousal_caff" and "performance_caff".

Between "arousal_caff" and "performance_caff".

Video Solution

Instructions

Question 3

In which of the following scatterplots, the value of one dimension can be used to predict the value of another, as accurately as possible?

"extraversion" and "true_ arousal_caff'

"true_arousal_plac" and “arousal_plac"

"true_arousal_plac" and "performance_plac"

"true_arousal_plac" and "performancc_caff"

All the above are irrelevant relations.

Video Solution

Instructions

Question 4

Which of the following options is correct?

0.93 on the right side of the diagonal corresponds to the third scatterplot in the fourth row.

0.94 on the right side of the diagonal corresponds to the second scatterplot in the fourth row.

0.38 is the relationship between "extraversion" and "true_arousal_plac".

"arousal_catr” and "performance_caff" arc positively related.

The line that captures relationship between "arousal_caff" and "arousal_plac" can be denoted by equation: y-= a-bx, where b>0.

Video Solution

Instructions

Answer the questions on the basis of information given below.

As a part of employee improvement programs, every year an organization conducts a survey on three factors: 1. Number of days (in integers) of training undergone, 2. Amount of bonus (in lacs) received by an employee and 3. Employee effectiveness score (on the scale of 1 to 10). Survey results for last two years are given below for the same seven employees.

Question 1

In Survey 1, what was the average bonus earned by employees who underwent training for more than 17 days?

Between 16 and 17 lacs

Between 17 and 18 lacs

Between 18 and 19 lacs

Between 19 and 20 lacs

None of the above

Instructions

Question 2

Identify the number of employees whose employee effectiveness score was higher than 7 in Survey 1, but whose bonus was lower than 20 lacs in Survey 2.

None of the above

Instructions

Question 3

From Survey 1 to Survey 2, how many employees underwent more days of training but their annual bonus decreased?

None of the above

Instructions

Question 4

From Survey 1 to Survey 2: for how many employees training days increased along with an increase of employee effective score by at least 1.0 rating?

None of the above

Instructions

Answer the questions based on the trends lines from the following graphs.
Note: Left side of X axis represents countries that are “poor” and right side of X axis represents countries that are “rich”, for each region. GDP is based on purchasing power parity (PPP).
These are World Bank (WB) estimates.

Question 1

Which of the following could be the correct ascending order of democratic regions for poor?

North America, C and E Europe, South America, Middle East, Asia Pacific

Scandinavia, Western Europe, Africa, Asia Pacific, Middle East

Scandinavia, Western Europe, North America, C and E Europe, Middle East

C and E Europe, Africa, South America, Western Europe, Scandinavia

Africa, South America, Western Europe, North America, Scandinavia

Video Solution

Instructions

Question 2

Which region has the highest disparity, of democratic participation, between rich and poor?

North America

C & E Europe

Africa

South America

Western Europe

Video Solution

Instructions

Question 3

The maximum GDP of African region is higher than the maximum GDP of South American region by factor of:

100

None of these

Video Solution

Instructions

Analyze the railway train chart below:

Question 1

Which is the fastest train between HHH and NNN?

1111

2222

4444

7777

9999

Video Solution

Instructions

Analyze the railway train chart below:

Question 2

Which is the fastest train between AAA and NNN?

8800

8888

6666

4444

3333

Video Solution

Instructions

Analyze the railway train chart below:

Question 3

If you have to travel from AAA and reach HHH at around 9:00 AM, and then further travel to NNN at around 6:00 PM, which is the best combination of trains for you?

1111 and 8800

1111 and 9900

8888 and 7777

8888 and 8800

8888 and 9900

Video Solution

XAT Special Charts Questions

XAT Special Charts Questions

Join CAT 2026 course by 5-Time CAT 100%iler

Download resources