Data Interpretation – A quick survey at the end of a purchase at buyagain
XAT 2021 Exam Paper – Data Interpretation – A quick survey at the end of a purchase at buyagain
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
Q1. What is the number of happy male shoppers?
Q2. Which among the following is the lowest?
1. Number of unhappy first-time female shoppers
2. Number of neutral first-time female shoppers
3. Number of neutral first-time male shoppers
4. Number of happy returning male shoppers
5. Number of unhappy first-time male shoppers
Q3. Which among the following cannot be determined uniquely?
1. The number of first-time neutral male shoppers
2. All the numbers can be determined uniquely
3. The number of first-time happy male shoppers
4. The number of returning male shoppers
5. The number of returning unhappy female shoppers
Solutions:
Male : female = 1:2
Male = 1/3 *240 = 80, female = 2/3 *240 = 160
Unhappy : happy : neutral = 3:4:5
Unhappy = 3/12 *240 = 60
Happy = 4/12 *240 = 80
Neutral = 5/12 *240 = 100
From the given information in point 1 we can make following table:
Male – 80
Female – 160
Total
1st timer
Repeaters
1st timer
Repeaters
Unhappy
60
Happy
80
Neutral
100
Total
From point 2 and 3 the above table can be filled as below :
Male – 80
Female – 160
Total
1st timer
Repeaters
1st timer
Repeaters
Unhappy
1.5a
0.5a
a
3a
60
Happy
a
a
1.5a
4.5a
80
Neutral
a
3a
0.5a
5.5a
100
Total
3.5a
4.5a
3a
13a
On solving ,
1.5a + 0.5a + a +3a = 60
6a = 60
Or a = 10
Thus , the final table will look like,
Male – 80
Female – 160
Total
1st timer
Repeaters
1st timer
Repeaters
Unhappy
15
5
10
30
60
Happy
10
10
15
45
80
Neutral
10
30
5
55
100
Total
35
45
30
130
Now all the questions can be answered.
Q26. D
Q27. B
Q28. B