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 a 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 777 employees in the Hyderabad office.
d) In the Mumbai office, the number of female employees is 55.
Based on the given information and the sunburst chart, the MOST LIKELY values of \( u \), \( v \) and \( w \), respectively, are:
Show Hint
- 20, 20, 15
- 30, 20, 5
- 20, 5, 10
- 10, 40, 5
- 20, 10, 40
The Correct Option is A
Solution and Explanation
The sunburst chart shows the distribution of employees by their department, rank, and gender for each location (Mumbai, Hyderabad, and Bengaluru). Based on the available data, the missing values correspond to the junior female employees in specific departments.
Step 2: Apply the given information.
- From the chart, we know the total number of junior employees is 210. - From the provided information, we also know the number of employees in the IT department, the Hyderabad office, and the Mumbai office’s female employees. - The junior female employees in the specific departments must satisfy the given conditions and the missing data points.
Step 3: Estimate the values of \( u \), \( v \), and \( w \).
We estimate the values of \( u \), \( v \), and \( w \) by comparing the missing values with the available data from the chart, ensuring the total number of employees in each location and department is consistent with the given information. Based on this, the most likely values of \( u \), \( v \), and \( w \) are 20, 20, and 15, respectively.
Step 4: Conclusion.
Thus, the correct answer is (A) 20, 20, 15.
Based on the given information and the sunburst chart, which of the following has the HIGHEST number of employees?
Show Hint
- Mid-level, all offices together
- Bengaluru office
- Sales department of Mumbai office
- IT department, all offices together
- Cannot be answered uniquely based on the given information
The Correct Option is
Solution and Explanation
The sunburst chart shows the distribution of employees in different departments, ranks, and genders across three locations (Mumbai, Hyderabad, and Bengaluru). However, based on the given information, we cannot directly compare the total number of employees across different departments (mid-level, IT, etc.) without specific numerical data.
Step 2: Consider the available information.
The data is proportional based on the chart areas, but specific total numbers for each department, location, or rank are not provided. Thus, we cannot definitively compare the total number of employees for each department.
Step 3: Conclusion.
Therefore, the correct answer is (E) because it is not possible to uniquely determine which group has the highest number of employees from the given information.
Based on the given information and the sunburst chart, which of the following statements CANNOT BE TRUE?
Show Hint
- In the Bengaluru office, the number of Finance employees is more than the number of IT employees.
- 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.
- 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.
The Correct Option is D
Solution and Explanation
- (A) In the Bengaluru office, the number of Finance employees is more than the number of IT employees: This statement is likely true based on the chart distribution.
- (B) In the Hyderabad office, the number of senior employees is more than the number of junior employees: This statement is true based on the data in the chart.
- (C) All three offices put together, the number of Sales employees is less than the number of Finance employees: This is a plausible statement.
- (D) Number of female junior employees at Finance and IT departments in the Bengaluru office are equal: This is the statement that cannot be true based on the given distribution, as there is a difference in the number of female junior employees across departments.
- (E) In the Mumbai office, the number of junior employees is more than the number of mid-level employees: This statement is likely true.
Step 2: Conclusion.
Thus, the correct answer is (D) because the number of female junior employees in the Finance and IT departments in the Bengaluru office are not equal.
Top Questions on Pie Charts
Study the given pie charts carefully to answer the questions that follows
- The following pie-chart shows the amount collected by a shopkeeper by selling four different food items in degrees. The total amount collected is Rs.64,800. The amount collected by selling Chinese dishes is approximately what percentage more than the amount collected by selling Bengali dishes?
- The following pie-chart shows the amount collected by a shopkeeper by selling four different food items in degrees. The total amount collected is Rs.64,800. Find the average amount collected from the sales of Bengali dishes, Punjabi dishes and Gujarati dishes.
- The production of iron by company A in 2013 is what percent of the total iron produced by all the companies during the given year?
- Company D produced 75% more iron in 2014 than produced by it in 2013. What percent of iron produced in 2014 was produced by company D?
Questions Asked in XAT exam
- Arrange the following generations from the oldest to the youngest:
1. Generation X
2. Silent Generation
3. Generation Alpha
4. Baby Boomers
5. Millennials
- XAT - 2026
- Current Affairs
- Read the following scenario and answer the THREE questions that follow.
Brijbhushan, a microfinancier, lends money at the rate of Rs.10 per square meter to small farmers at a village. He charges an annual interest rate of 10%. All the farming plots in that village are rectangular, with areas varying between a minimum of 1000 square meters and a maximum of 10,000 square meters.
This year, Brijbhushan has lent money only to five farmers: Aditya, Binod, Chhuttan, Dabloo and Govind. The perimeter of Chhuttan’s plot is 250 meters, with the length and width being at a ratio of 4:1. Aditya’s plot has an area three times the area of Govind’s plot. The area of Aditya’s plot is also the average of the areas of Govind’s plot and Dabloo’s plot. The plots belonging to Aditya, Binod and Dabloo are of the same width, but of different lengths. Moreover, the length of Binod’s plot is the sum of the lengths of Aditya’s plot and Dabloo’s plot.- XAT - 2026
- Mensuration
An investment company, Win Lose, recruit's employees to trade in the share market. For newcomers, they have a one-year probation period. During this period, the employees are given Rs. 1 lakh per month to invest the way they see fit. They are evaluated at the end of every month, using the following criteria:
1. If the total loss in any span of three consecutive months exceeds Rs. 20,000, their services are terminated at the end of that 3-month period,
2. If the total loss in any span of six consecutive months exceeds Rs. 10,000, their services are terminated at the end of that 6-month period.
Further, at the end of the 12-month probation period, if there are losses on their overall investment, their services are terminated.
Ratan, Shri, Tamal and Upanshu started working for Win Lose in January. Ratan was terminated after 4 months, Shri was terminated after 7 months, Tamal was terminated after 10 months, while Upanshu was not terminated even after 12 months. The table below, partially, lists their monthly profits (in Rs. ‘000’) over the 12-month period, where x, y and z are masked information.
Note:
• A negative profit value indicates a loss.
• The value in any cell is an integer.
Illustration: As Upanshu is continuing after March, that means his total profit during January-March (2z +2z +0) ≥
Rs.20,000. Similarly, as he is continuing after June, his total profit during January − June ≥
Rs.10,000, as well as his total profit during April-June ≥ Rs.10,000.
- XAT - 2026
- Logical and Analytical Reasoning Skills
Business schools’ (B schools) curriculums are filled with group assignments and case competitions. Even when students have just joined the B schools, corporate houses try 38 to catch good talent early by promising them internships based on case competitions. These competitions involve solving the problems presented by the organizations, analyzing the challenges they currently face, and presenting solutions in a manner that convinces the organizations’ representatives.
For students who are just joining a B school, the capability to actually solve such problems is quite limited. Because of that, the corporate houses generally are more focused on the presentations made by groups. Hence, the groups that communicate better, most often, win these competitions.
Abirami joins MBS, a B school. As a fresher, she believes she needs to learn a lot about how organizations work and wants to work with others who have joined MBS and have work experience.- XAT - 2026
- Statements and Assumptions
- Selvam Tutorials offers exclusive face-to-face evening classes from Monday to Friday for students who are preparing for various entrance exams. Selvam Dindigul, the owner, operates from his ancestral house, situated in the middle of the city. There are several instructors, but each teaches only one of the following courses: quantitative ability, verbal ability and decision making. Selvam usually recruits fresh graduates, or those instructors who are working with other tutorials and seeking a job change. As Selvam Tutorials has been expanding aggressively over the past few years, managing it alone becomes challenging for Selvam. Hence, he recruits Kanmani Guna, his niece, who has an online MBA with specializations in Accountancy and HR, as a manager. He asks Kanmani to introduce modern HR practices at Selvam Tutorials while managing cost effectively.
- XAT - 2026
- Premises