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.
What is the number of happy male shoppers?
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.
What is the number of happy male shoppers?
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Use the ratios to set up variables and solve systematically using the totals.
Updated On: Mar 30, 2026
- 25
- 64
- 20
- 40
- 50
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Total shoppers = 240. Male:Female = 1:2 → Male = 80, Female = 160. Unhappy:Happy:Neutral = 3:4:5 → Unhappy = $3k$, Happy = $4k$, Neutral = $5k$, total = $12k = 240$ → $k=20$. So Unhappy = 60, Happy = 80, Neutral = 100.
Step 2: First-time shoppers = 65, Returning = 175.
Step 3: From condition ii: Happy first-time male : Happy returning male : Unhappy female : Neutral male : Neutral female : Happy female = 1:1:4:4:6:6. Let these be $a, a, 4a, 4a, 6a, 6a$ respectively.
Step 4: Total Happy = Happy first-time male + Happy returning male + Happy female = $a + a + 6a = 8a = 80$ → $a = 10$. So Happy first-time male = 10, Happy returning male = 10, Happy female = 60.
Step 5: Total male = 80 = Happy first-time male + Happy returning male + Neutral male + Unhappy male. Unhappy male not directly given. But we have Neutral male = $4a = 40$. So 80 = 10 + 10 + 40 + Unhappy male → Unhappy male = 20.
Step 6: Total female = 160 = Happy female + Neutral female + Unhappy female = 60 + $6a$ + $4a$ = 60 + 60 + 40 = 160, consistent.
Step 7: Happy male shoppers = Happy first-time male + Happy returning male = 10 + 10 = 20.
Step 8: Final Answer: 20.
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