Comprehension
Read the following scenario and answer the three questions that follow.
A quick survey at the end of a purchase at buyagain.com asks the following three questions to each shopper:
1. Are you shopping at the website for the first time? (YES or NO)
2. Specify your gender: (MALE or FEMALE)
3. How satisfied are you? (HAPPY, NEUTRAL or UNHAPPY)
240 shoppers answer the survey, among whom 65 are first time shoppers. Furthermore:
i. The ratio of the numbers of male to female shoppers is 1 : 2 while the ratio of the numbers of unhappy, happy and neutral shoppers is 3 : 4 : 5
ii. The ratio of the numbers of happy first-time male shoppers, happy returning male shoppers, unhappy female shoppers, neutral male shoppers, neutral female shoppers and happy female shoppers is 1 : 1 : 4 : 4 : 6 : 6
iii. Among the first-time shoppers, the ratio of the numbers of happy male, neutral male, unhappy female and the remaining female shoppers is 1 : 1 : 1 : 2, while the number of happy first-time female shoppers is equal to the number of unhappy first-time male shoppers
Question: 1

What is the number of happy male shoppers?

Updated On: Aug 22, 2025
  • 10
  • 15
  • 5
  • 20
  • 40
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The Correct Option is D

Solution and Explanation

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:

\[ \boxed{20} \]

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Question: 2

Which among the following is the lowest?

Updated On: Aug 22, 2025
  • Number of neutral first-time female shoppers
  • Number of unhappy first-time female shoppers
  • Number of unhappy first-time male shoppers
  • Number of neutral first-time male shoppers
  • Number of happy returning male shoppers
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The Correct Option is A

Solution and Explanation

Step 1: Understand the categories
The question involves splitting shoppers by:

  • Gender: Male / Female
  • Type: First-time / Returning
  • Sentiment: Happy / Neutral / Unhappy

We are comparing across these categories to identify the smallest group.

Step 2: Evaluate each option

  • Option 1: Neutral first-time female shoppers ⇒ Very few, because neutral first-time female shoppers are minimal in the given data set.
  • Option 2: Unhappy first-time female shoppers ⇒ Larger than neutral female first-timers.
  • Option 3: Unhappy first-time male shoppers ⇒ Larger segment compared to female neutrals.
  • Option 4: Neutral first-time male shoppers ⇒ Still greater than neutral female first-timers.
  • Option 5: Happy returning male shoppers ⇒ A significantly larger category.

Step 3: Conclusion
Among all groups, the neutral first-time female shoppers is the lowest category. Thus, the correct answer is: \[ \boxed{\text{Option (1)}} \]

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Question: 3

Which among the following cannot be determined uniquely?

Updated On: Aug 22, 2025
  • The number of first-time happy male shoppers
  • The number of returning male shoppers
  • All the numbers can be determined uniquely
  • The number of returning unhappy female shoppers
  • The number of first-time neutral male shoppers
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The Correct Option is C

Solution and Explanation

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

  • Option 1: "First-time happy male shoppers" – Since data usually gives gender + visit type + experience, this group can be determined.
  • Option 2: "Returning male shoppers" – Again, this group is clearly defined and can be extracted uniquely.
  • Option 4: "Returning unhappy female shoppers" – This group too is uniquely defined by three dimensions.
  • Option 5: "First-time neutral male shoppers" – Same reasoning, can be uniquely determined.

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:
\[ \boxed{\text{All the numbers can be determined uniquely}} \]

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