Buyagain.com Customer Survey Analysis
XAT 2021 · Quantitative Ability & Data Interpretation · Medium · Data Interpretation
Passage / data set
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:
- Are you shopping at the website for the first time? (YES or NO)
- Specify your gender: (MALE or FEMALE)
- 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 of 3
What is the number of happy male shoppers?
- A.
10
- B.
15
- C.
5
- D.
20
- E.
40
D
Explanation
Total shoppers = 240. Males = 80, Females = 160. Unhappy = 60, Happy = 80, Neutral = 100. From ratio in (ii): x = 10. Happy first-time male = 10, Happy returning male = 10. Total happy male shoppers = 10 + 10 = 20.
Question 2 of 3
Which among the following is the lowest?
- A.
Number of neutral first-time female shoppers
- B.
Number of unhappy first-time female shoppers
- C.
Number of unhappy first-time male shoppers
- D.
Number of neutral first-time male shoppers
- E.
Number of happy returning male shoppers
A
Explanation
Evaluating all choices:
- Neutral first-time female = 5
- Unhappy first-time female = 10
- Unhappy first-time male = 15
- Neutral first-time male = 10
- Happy returning male = 10 The lowest is 5 (Number of neutral first-time female shoppers).
Question 3 of 3
Which among the following cannot be determined uniquely?
- A.
The number of first-time happy male shoppers
- B.
The number of returning male shoppers
- C.
All the numbers can be determined uniquely
- D.
The number of returning unhappy female shoppers
- E.
The number of first-time neutral male shoppers
C
Explanation
Solving the system of linear equations from the statements allows every single sub-category count to be uniquely determined. Thus, all numbers can be determined uniquely.
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