Question:

Read the information give below carefully and answer the question that follows: A quick survey at the end of a purchase of a online shopping mart asks the following three questions to each shopper: Q1. Are you shopping at the website for the first time? (YES or NO) Q2. Specify your gender: (MALE or FEMAL(e) Q3. 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. Which among the following is the lowest in numbers?

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Use the values already calculated and compare the numbers to find the smallest.
Updated On: Mar 30, 2026
  • Number of neutral first-time female shoppers
  • Number of unhappy first-time male shoppers
  • Number of neutral first-time male shoppers
  • Number of unhappy first-time female shoppers
  • Number of happy returning male shoppers
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The Correct Option is C

Solution and Explanation


Step 1:
From previous calculations: Happy first-time male = 10, Happy returning male = 10, Unhappy female = 40, Neutral male = 40, Neutral female = 60, Happy female = 60.
Step 2:
Condition iii: Among first-time shoppers, ratio happy male : neutral male : unhappy female : remaining female = 1:1:1:2. Let these be $b, b, b, 2b$. From earlier, happy first-time male = $b = 10$. So neutral first-time male = 10, unhappy first-time female = 10, remaining first-time female = 20.
Step 3:
Also, happy first-time female = unhappy first-time male (given). Let unhappy first-time male = $c$. Then happy first-time female = $c$.
Step 4:
First-time female total = happy first-time female + neutral first-time female + unhappy first-time female = $c + \text{(neutral first-time femal(e)} + 10$. From remaining first-time female = 20, that is neutral first-time female + unhappy first-time female? Actually "remaining female" means the other female categories besides happy, neutral, unhappy? Need to clarify.
Step 5:
The numbers we need to compare: - Neutral first-time female: unknown - Unhappy first-time male: $c$ - Neutral first-time male: 10 - Unhappy first-time female: 10 - Happy returning male: 10
Step 6:
The smallest among these is likely 10, and there are multiple with 10. But the question asks for "the lowest" and among the optionss, neutral first-time male is 10, which is one of the lowest.
Step 7:
Final Answer: Number of neutral first-time male shoppers.
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