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Light Chemicals is an industrial paint supplier with presence in three…

XAT 2026 · Quantitative Ability and Data Interpretation · 3 questions

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. [Sunburst chart transcribed - Location > Department > Rank > Gender counts: Mumbai: IT {Mid: M 22, F 15; Junior: M 25, F w; Senior: M 14, F 8}; Sales {Junior: M 30, F v; Senior: M 12, F 10}; HR {Junior: M 15, F u; Mid: M 12, F 18}. Hyderabad: HR {Senior: M 6, F 9; Junior: M 10, F x}; Finance {Senior: M 9, F 7; Mid: M 11, F 13}. Bengaluru: Sales {Executive: M 8, F 6}; IT {Senior: M 10, F 12; Junior: M 16, F y}; Finance {Junior: M 18, F z; Mid: M 20, F 22}. In the chart, the segment for v is drawn larger than that for u, which is larger than that for w.] [Figure: see page 8 of source PDF]

Question 1

Based on the given information and the sunburst chart, the MOST LIKELY values of u, v and w, respectively, are:
  1. A. 30, 20, 5
  2. B. 20, 25, 10
  3. C. 20, 20, 15
  4. D. 10, 40, 5
  5. E. 25, 20, 10

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Question 2

Based on the given information and the sunburst chart, which of the following has the HIGHEST number of employees?
  1. A. IT department, all offices together
  2. B. Bengaluru office
  3. C. Sales department of Mumbai office
  4. D. Cannot be answered uniquely based on the given information
  5. E. Mid-level, all offices together

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Question 3

Based on the given information and the sunburst chart, which of the following statements CANNOT BE TRUE?
  1. A. In the Hyderabad office, the number of senior employees is more than the number of junior employees.
  2. B. All three offices put together, the number of Sales employees is less than the number of Finance employees.
  3. C. In the Bengaluru office, the number of Finance employees is more than the number of IT employees.
  4. D. Number of female junior employees at Finance and IT departments in the Bengaluru office are equal.
  5. E. In the Mumbai office, the number of junior employees is more than the number of mid-level employees.

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