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:
\[ \boxed{\text{All the numbers can be determined uniquely}} \]
A pie chart shows the distribution of students across 5 faculties in a university. If 20% are in Arts, 25% in Science, 15% in Law, 30% in Engineering, and the rest in Commerce, what is the angle (in degrees) for Commerce?
The table given below provides the details of monthly sales (in lakhs of rupees) and the value of products returned by the customers (as a percentage of sales) of an e-commerce company for three product categories for the year 2024. Net sales (in lakhs of rupees) is defined as the difference between sales (in lakhs of rupees) and the value of products returned (in lakhs of rupees).

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.