XAT Data Interpretation Questions

XAT Data Interpretation Questions are one of the common type of questions that keep appearing every year in the exam. These are close to CAT Data Interpretation sets where questions on bargraph, piechart, etc. are asked in the exam. To check some other common important sets that appear in XAT QA & DI section, checking with the XAT syllabus will help you further. To ace these kind of sets basic arithmetic skills are necessary and some prior experience will help.

We have compiled all the previously repeated questions with detailed solutions. You could also download them as PDF. We advise aspirants to take XAT mock tests and assessing where to focus further. These tests will help you in familiarizing with the kind of questions that are asked in the exam.

XAT Data Interpretation Questions

Instructions

Go through the information given below, and answer the THREE questions that follow.

Comprehension:

The table captures Age and Gender distribution of Covid Positive Cases in a country. However, a part of data is missing, represented through unknown categories.

*Includes <5 cases in age group 19-30 and 51 -60 who reported gender as Other/Transgender. * In unknown age category, the ratio of males (unknown age category) and females (unknown age catego1y) to total unknown cases (unknown age category) is same as the ratio of males (All) and females (All) to the total (Total Confirmed Covid Positive Cases).

Question 1

In unknown age category, the ratio of males (unknown age category) and females (unknown age category) to total unknown cases (unknown age category) is same as the ratio of males (All) and females (All) to the total (total confirmed covid positive cases). How many females were in the unknown age category (rounded to nearest integer)?

120

140

110

125

130

Instructions

Go through the information given below, and answer the THREE questions that follow.

Comprehension:

The table captures Age and Gender distribution of Covid Positive Cases in a country. However, a part of data is missing, represented through unknown categories.

Question 2

In which age category, the percentage of female covid patients is the HIGHEST?

61-70

31-40

41-50

51-60

81+

Instructions

Go through the information given below, and answer the THREE questions that follow.

Comprehension:

The table captures Age and Gender distribution of Covid Positive Cases in a country. However, a part of data is missing, represented through unknown categories.

Question 3

Which of the following is true for “unknown gender Category”?
1. Unknown age group patients are less likely (percentage term) to provide information about gender than any other age category
2. Between 31 and 80, when age increases patients, in percentage terms, are less likely to provide information about gender
3. Elderly (81+) category patients are more likely to give information about gender than 0-18 age group

3 only

2 only

1 and 2

1 and 3

2 and 3

Instructions

Read the following scenario and answer the THREE questions that follow.

The given candlestick chart depicts the prices of a particular stock over 10 consecutive days. A candlestick comprises of a rectangular box pieced by a line. The top and bottom ends of the line respectively indicate the maximum and minimum prices of the stock on that day, while the horizontal edges of the rectangle correspond to the stock's opening and closing prices. If the rectangle is white, the opening price is lower than the closing price, but if the rectangle is black, then it is the other way around.

Using the above information, answer the questions that follow:

Question 1

Which day saw the maximum percentage increase in the stock price at closing from the opening?

Day 10

Day 2

Day 1

Day 6

Day 7

Video Solution

Instructions

Read the following scenario and answer the THREE questions that follow.

Using the above information, answer the questions that follow:

Question 2

What is the highest magnitude of change over two consecutive days (for example,Day 1 → Day 3 or Day 5 → Day 7), in the maximum price touched by the stock during the 10-day period (choose the closest amongst the options given)?

Video Solution

Instructions

Read the following scenario and answer the THREE questions that follow.

Using the above information, answer the questions that follow:

Question 3

On which day is the ratio of the maximum price to the opening price, the highest across the ten days?

Day 3

Day 4

Day 10

Day 1

Day 9

Video Solution

Instructions

Read the following scenario and answer the THREE questions that follow.

The enrolment of students (in 1000s) at each of the five universities named — MPU, JSU, LTU, PKU and TRU — during each of the eight years from 2014 to 2021 is represented in the following chart. The names of these universities are not shown in the chart, instead they are labelled Univ 1, Univ 2, Univ 3, Univ 4 and Univ 5.

However, these four pieces of information are available:
W: The magnitudes of TRU's and MPU's net change in enrolment between 2014 and 2021 are the closest among any two universities.
X: LTU had the same enrolment in consecutive years at least twice between 2014 and 2021.
Y: The increase in JSU's enrolment from 2015 to 2019 is about 50% of TRU's total enrolment in 2020.
Z: The enrolment in one of LTU and PKU had a steady decline between 2014 and 2021, while the enrolment in the other had no decline between any two consecutive years in the same period.

Question 4

Which of the five universities can Univ 4 possibly be?

Either TRU or MPU

Either MPU or PKU

Only PKU

Only TRU

Only MPU

Video Solution

Solution

Using condition W :

The magnitudes of the net change in enrollment between 2014 and 2021 is closest among any two universities for TRU and MPU.

Going by the color of the lines the net change for different universities is:

Univ 1: 0.7

Univ 2: 4.4

Univ 3: 0.1

Univ 4: 0.2

Univ 5: 3.3

The closest among these are: Univ 3 and Univ 4. They can possibly be : (TRU/MPU)

Using condition X :

The university LTU must have the same enrollment in consecutive years at least twice :

LTU can either be Univ 3 or Univ 1 but since Univ 3 must be among TRU and MPU. LTU is university 1.

Using condition Y :

The increase in the enrollment of JSU between the years 2015 and 2019 is 50 percent of TRU's total enrollment in 2020.

Considering :

TRU = Univ 4

The enrollment is 5.

TRU = Univ 3

The enrollment is 0.7

For TRU as Univ 3, there is no university whose increase in enrollment between 2015 and 2019 is 50 percent of TRU.

Hence TRU = Univ 4.

Since the increase in enrollment for JSU is half of TRU. The increase must be half of 5 = 2.5

The only possible case is JSU = Univ 2.

MPU = Univ 3.

LTU = Univ 1

PKU = Univ 5.

Instructions

Read the following scenario and answer the THREE questions that follow.

Question 5

Which Univ’s enrolment was around twice that of LTU in 2014?

Only JSU’s

Only PKU’s

Either PKU’s or TRU’s

Either JSU’s or MPU’s

Only MPU’s

Video Solution

Solution

Using condition W :

The magnitudes of the net change in enrollment between 2014 and 2021 is closest among any two universities for TRU and MPU.

Going by the color of the lines the net change for different universities is:

Univ 1: 0.7

Univ 2: 4.4

Univ 3: 0.1

Univ 4: 0.2

Univ 5: 3.3

The closest among these are: Univ 3 and Univ 4. They can possibly be : (TRU/MPU)

Using condition X :

The university LTU must have the same enrollment in consecutive years at least twice :

LTU can either be Univ 3 or Univ 1 but since Univ 3 must be among TRU and MPU. LTU is university 1.

Using condition Y :

The increase in the enrollment of JSU between the years 2015 and 2019 is 50 percent of TRU's total enrollment in 2020.

Considering :

TRU = Univ 4

The enrollment is 5.

TRU = Univ 3

The enrollment is 0.7

For TRU as Univ 3, there is no university whose increase in enrollment between 2015 and 2019 is 50 percent of TRU.

Hence TRU = Univ 4.

Since the increase in enrollment for JSU is half of TRU. The increase must be half of 5 = 2.5

The only possible case is JSU = Univ 2.

MPU = Univ 3.

LTU = Univ 1

PKU = Univ 5.

SInce LTU is univ 1 the university with an enrollment twice that of LTU = 2*(3.2)

= 6.4.

Hence the only possible case close by is Univ 5 (PKU)

Instructions

Read the following scenario and answer the THREE questions that follow.

Question 6

Which amongst the pieces of information mentioned below, if removed, will notprevent us from uniquely identifying the five universities?

Either X or Y

NONE, since all four pieces of information are necessary to uniquely identify the fiveuniversities.

Video Solution

Solution

Using condition W :

The magnitudes of the net change in enrollment between 2014 and 2021 is closest among any two universities for TRU and MPU.

Going by the color of the lines the net change for different universities is:

Univ 1: 0.7

Univ 2: 4.4

Univ 3: 0.1

Univ 4: 0.2

Univ 5: 3.3

The closest among these are: Univ 3 and Univ 4. They can possibly be : (TRU/MPU)

Using condition X :

The university LTU must have the same enrollment in consecutive years at least twice :

LTU can either be Univ 3 or Univ 1 but since Univ 3 must be among TRU and MPU. LTU is university 1.

Using condition Y :

The increase in the enrollment of JSU between the years 2015 and 2019 is 50 percent of TRU's total enrollment in 2020.

Considering :

TRU = Univ 4

The enrollment is 5.

TRU = Univ 3

The enrollment is 0.7

For TRU as Univ 3, there is no university whose increase in enrollment between 2015 and 2019 is 50 percent of TRU.

Hence TRU = Univ 4.

Since the increase in enrollment for JSU is half of TRU. The increase must be half of 5 = 2.5

The only possible case is JSU = Univ 2.

MPU = Univ 3.

LTU = Univ 1

PKU = Univ 5.

All the universities can be uniquely determined without using the condition Z.

Instructions

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

Question 1

What is the number of happy male shoppers?

Video Solution

Instructions

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

Question 2

Which among the following is the lowest?

Number of neutral first-time female shoppers

Number of unhappy first-time female shoppers

Number of unhappy first-time male shoppers

Number of neutral first-time male shoppers

Number of happy returning male shoppers

Video Solution

Instructions

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

Question 3

Which among the following cannot be determined uniquely?

The number of first-time happy male shoppers

The number of returning male shoppers

All the numbers can be determined uniquely

The number of returning unhappy female shoppers

The number of first-time neutral male shoppers

Video Solution

Instructions

Read the following scenario and answer the three questions that follow.
The following plot describes the height (in cm), weight (in kg), age (in years) and gender (F for female, M for male) of 20 patients visiting a hospital.

A person’s body mass index (BMI) is calculated as weight (in kg) divided by squared height (measured in square metres). For example, a person weighing 100 kg and of height 100 cm (1m) will have a BMI of 100. A person with BMI less than or equal to 18.5 is considered as underweight, above 18.5 but less than or equal to 25 as normal weight, above 25 but less than or equal to 30 as overweight, and above 30 as obese.

Question 4

The average age of the female patients who weigh 50 kg or above is approximately

Cannot be determined from the given data

Video Solution

Instructions

Question 5

The highest BMI among all patients is approximately

Video Solution

Instructions

Question 6

The BMI of the oldest person considered as normal weight is approximately

Video Solution

XAT Data Interpretation Questions

XAT Data Interpretation Questions

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