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XAT 2021 — QA & DI Question 16

Simple EquationsEasy
Passage / Data

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

Which among the following is the lowest?

Answer & solution

Correct answer: Number of neutral first-time female shoppers

  • 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

Solution

From the given data the following table can be created:

​​​​​​​

Hence the value of x=10

​​​​​​​​​​​​​​

From the given options, number of neutral first time female shoppers are the least

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XAT 2021 QA & DI Q16: Which among the following is the lowest? — Solution | TheCATExam