Step 1: Understanding the context
From the dataset of shoppers, categories include male/female, first-time/returning, and happy/neutral/unhappy. We need only the count of happy male shoppers.
Step 2: Using the distribution logic
By analyzing the problem setup (earlier questions on this dataset confirmed unique determinability of all categories), the number of happy male shoppers works out to be 20.
Step 3: Verification
This value is consistent with the total male shoppers’ split and matches the unique allocation given in the puzzle structure.
Final Result:
\[ \boxed{20} \]
Step 1: Understand the categories
The question involves splitting shoppers by:
We are comparing across these categories to identify the smallest group.
Step 2: Evaluate each option
Step 3: Conclusion
Among all groups, the neutral first-time female shoppers is the lowest category. Thus, the correct answer is: \[ \boxed{\text{Option (1)}} \]
Step 1: Understanding the problem
The question is about categorizing shoppers based on three dimensions:
- Type of visit: First-time vs Returning shoppers
- Gender: Male vs Female
- Experience: Happy, Unhappy, Neutral
Step 2: What does "uniquely determined" mean?
It means, given the full dataset (numbers or percentages), each subgroup can be identified without ambiguity. For example, if the data clearly separates "first-time happy male shoppers," then their count is uniquely determined.
Step 3: Evaluating each option
Step 4: Conclusion
Since all four mentioned categories are subsets that can be computed without overlap or ambiguity, none of them are indeterminate. Hence, the correct choice is:
\[ \boxed{\text{All the numbers can be determined uniquely}} \]





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.

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.