Data InterpretationXAT Previous-Year Questions

60 previous-year questions on Data Interpretation from XAT, with full solutions. Practise free — check answers as you go; sign in to save your progress.

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60 questions

Data Interpretation · XAT PYQs

XAT 2024 · QA & DI
Passage / Data

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

41 applicants have been shortlisted for interviews for some data analyst positions. Some of the applicants have advanced expertise in one or more fields among the following: data analysis, database handling and coding. The numbers of applicants with different advanced expertise are given in the 2 × 8 table below.

The number of applicants with advanced expertise in all three fields is given as x in the table, where x is a non-negative integer.

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Q1.

What BEST can be concluded about the value of x?

XAT 2024 · QA & DI
Passage / Data

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

41 applicants have been shortlisted for interviews for some data analyst positions. Some of the applicants have advanced expertise in one or more fields among the following: data analysis, database handling and coding. The numbers of applicants with different advanced expertise are given in the 2 × 8 table below.

The number of applicants with advanced expertise in all three fields is given as x in the table, where x is a non-negative integer.

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Q2.

How many applicants DID NOT have advanced expertise in any of the three given fields?

XAT 2023 · QA & DI
Passage / Data

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

The three graphs below capture relationship between economic (and social) activities and subjective well-being. The first graph (Graph-1) captures relationship between GDP (percapita) and Satisfaction with life, across different countries and four islands: Gizo, Roviana, Niijhum Dwip, and Chittagong. The Graph-2 captures three different measures of subjective well-being (Satisfaction with life, Affect Balance and Momentary Affect) across the four islands, which have different levels monetization (Index). The Graph-3 captures levels of thirteen different socio-economic activities across four islands. 

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Q3.

Which of the following will BEST capture the relationship between GDP (x-axis) and Life Satisfaction (y-axis) of countries?

XAT 2023 · QA & DI
Passage / Data

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

The three graphs below capture relationship between economic (and social) activities and subjective well-being. The first graph (Graph-1) captures relationship between GDP (percapita) and Satisfaction with life, across different countries and four islands: Gizo, Roviana, Niijhum Dwip, and Chittagong. The Graph-2 captures three different measures of subjective well-being (Satisfaction with life, Affect Balance and Momentary Affect) across the four islands, which have different levels monetization (Index). The Graph-3 captures levels of thirteen different socio-economic activities across four islands. 

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Q4.

Which of the following, about the four islands, can be BEST inferred from the graphs?

XAT 2023 · QA & DI
Passage / Data

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

The three graphs below capture relationship between economic (and social) activities and subjective well-being. The first graph (Graph-1) captures relationship between GDP (percapita) and Satisfaction with life, across different countries and four islands: Gizo, Roviana, Niijhum Dwip, and Chittagong. The Graph-2 captures three different measures of subjective well-being (Satisfaction with life, Affect Balance and Momentary Affect) across the four islands, which have different levels monetization (Index). The Graph-3 captures levels of thirteen different socio-economic activities across four islands. 

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Q5.

Which of the following site has the highest fishing to economic ratio? 

XAT 2023 · QA & DI
Passage / Data

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

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.

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Q6.

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)? 

XAT 2023 · QA & DI
Passage / Data

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

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.

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Q7.

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

XAT 2023 · QA & DI
Passage / Data

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

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.

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Q8.

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 
XAT 2023 · QA & DI
Passage / Data

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

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.

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Q9.

The addition of 7 distinct positive integers is 1740. What is the largest possible “greatest common
divisor” of these 7 distinct positive integers?

XAT 2022 · QA & DI
Passage / Data

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, Stead they are labelled Unit 1, Unit 2, Unit 3, Unit 4 and Unit 5.

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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.

Q10.

Which of the five universities can Univ 4 possibly be?

XAT 2022 · QA & DI
Passage / Data

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, Stead they are labelled Unit 1, Unit 2, Unit 3, Unit 4 and Unit 5.

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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.

Q11.

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

XAT 2022 · QA & DI
Passage / Data

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, Stead they are labelled Unit 1, Unit 2, Unit 3, Unit 4 and Unit 5.

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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.

Q12.

Which amongst the pieces of information mentioned below, if removed, will not prevent us from uniquely identifying the five universities?

XAT 2022 · QA & DI
Passage / Data

Read the following scenario and answer the THREE questions that follow.
A pencil maker ships pencils in boxes of size 50, 100 and 200. Due to packaging issues, some pencils break.
About the 20 boxes he has supplied to a shop, the following information is available:
* Box no. 1 through 6 have 50 pencils, Box no. 7 through 16 have 100 pencils and Box no. 17 through 20 have 200 pencils.
* No box has less than 5% or more than 20% broken pencils.
Following is the frequency table of the number of broken pencils for the twenty boxes:

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Q13.

Which of the following can possibly be the sequence of the number of brokenpencils in Boxes 7-16?

XAT 2022 · QA & DI
Passage / Data

Read the following scenario and answer the THREE questions that follow.
A pencil maker ships pencils in boxes of size 50, 100 and 200. Due to packaging issues, some pencils break.
About the 20 boxes he has supplied to a shop, the following information is available:
* Box no. 1 through 6 have 50 pencils, Box no. 7 through 16 have 100 pencils and Box no. 17 through 20 have 200 pencils.
* No box has less than 5% or more than 20% broken pencils.
Following is the frequency table of the number of broken pencils for the twenty boxes:

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Q14.

Which of the following cannot be inferred conclusively from the given information?

XAT 2022 · QA & DI
Passage / Data

Read the following scenario and answer the THREE questions that follow.
A pencil maker ships pencils in boxes of size 50, 100 and 200. Due to packaging issues, some pencils break.
About the 20 boxes he has supplied to a shop, the following information is available:
* Box no. 1 through 6 have 50 pencils, Box no. 7 through 16 have 100 pencils and Box no. 17 through 20 have 200 pencils.
* No box has less than 5% or more than 20% broken pencils.
Following is the frequency table of the number of broken pencils for the twenty boxes:

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Q15.

Suppose that additionally it is known that the number of broken pencils in Boxes 17-20 are in increasing order. Which among the following additional information, if true, is not sufficient to uniquely know the number of defective pencils in each of the boxes numbered 17-20?

XAT 2022 · QA & DI
Passage / Data

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

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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:

Q16.

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

XAT 2022 · QA & DI
Passage / Data

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

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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:

Q17.

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 duringthe 10-day period (choose the closest amongst the options given)?

XAT 2022 · QA & DI
Passage / Data

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

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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:

Q18.

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

XAT 2021 · Decision Making
Passage / Data

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.

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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.

Q19.

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

XAT 2021 · QA & DI
Passage / Data

Read the following scenario and answer the three questions that follow.
A company awards incentives to its employees for successful project performances. It rates successful project performance in categories A*, A, B, and C. Employees, in solo projects rated A*, A, B, and C, are awarded incentives ₹6 lakh, ₹5 lakh, ₹3 lakh, and ₹1 lakh respectively. When a project has multiple team members, the following scheme is used to award the incentives:

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For example, for a project rated A, with three members, the team lead gets ₹4 lakh, and the other team members get ₹2.5 lakh each. A project always has a single team lead. Six employees: Altaf, Bose, Chakrabarthi, Dipa, Ernie, and Fatima receive a total of ₹45 lakh in incentives by participating in a total of eight different projects that does not involve any other person. Not all six employees are involved in all eight projects.
The following are additionally known about these eight projects:
1. One project involves all six employees. Four projects involve three each, and the rest, two each.
2. Exactly three projects are rated C, for which a total of ₹4.8 lakh is paid.
3. Only one project is rated A*

Q20.

What BEST is known about the team compositions for the projects rated C?

XAT 2020 · QA & DI
Passage / Data

Read the information given below and answer the 3 associated questions.

During 2015-2019, the revenues of four companies P-S were as follows:

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Q21.

Which of the given companies has seen the highest year-on-year growth (in percentage) in any single year during this five-year period?

XAT 2020 · QA & DI
Passage / Data

Read the information given below and answer the 3 associated questions.

During 2015-2019, the revenues of four companies P-S were as follows:

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Q22.

It was discovered later that one of the companies misreported its revenue of one of the years. If the misreported revenue is replaced by the correct revenue, the revenues of that company over the five-year period will be in an arithmetic progression. The company that misreported its revenue was

XAT 2020 · QA & DI
Passage / Data

Read the information given below and answer the 3 associated questions.

During 2015-2019, the revenues of four companies P-S were as follows:

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Q23.

During the period from 2014 to 2015, the revenue increased by 25% for three of the companies and by 50% for the remaining company. The total increase in revenue, for all four companies put together, was Rs. 125 lakhs.

Which of the following CANNOT be true?

XAT 2019 · QA & DI
Passage / Data

Answer the next 3 questions based on the information given below.

The break-up of the students in a university by subject major is given in the polar pie-chart. The bar chart shows the number of students who major in physics by geographic location.

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Q24.

How many students major in chemistry?

XAT 2019 · QA & DI
Passage / Data

Answer the next 3 questions based on the information given below.

The break-up of the students in a university by subject major is given in the polar pie-chart. The bar chart shows the number of students who major in physics by geographic location.

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Q25.

12% of all students are from Chennai. What is the largest possible percentage of economics students that can be from Chennai, rounded off to the nearest integer?

XAT 2019 · QA & DI
Passage / Data

Answer the next 3 questions based on the information given below.

The break-up of the students in a university by subject major is given in the polar pie-chart. The bar chart shows the number of students who major in physics by geographic location.

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Q26.

If the proportion of physics majors who are from Delhi is the same as the proportion of engineering majors who are from Delhi, how many engineering majors are from Delhi?

XAT 2018 · QA & DI
Passage / Data

Answer the next 3 questions based on the information given below.

Six teams are playing in a hockey tournament where each team is playing against every other team exactly once. At an intermediate stage, the status is as follows;

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Note:

  • The team that scores more goals than it concedes wins the match, while if both the teams score the same no. of goals, the match is declared drawn.
  • In a match played between Team X and Team Y, if team X scores 1 and concedes none, then the score line would read. Team X-Team Y (1-0).
Q27.

Which of the following matches are yet to be played?

XAT 2018 · QA & DI
Passage / Data

Answer the next 3 questions based on the information given below.

Six teams are playing in a hockey tournament where each team is playing against every other team exactly once. At an intermediate stage, the status is as follows;

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Note:

  • The team that scores more goals than it concedes wins the match, while if both the teams score the same no. of goals, the match is declared drawn.
  • In a match played between Team X and Team Y, if team X scores 1 and concedes none, then the score line would read. Team X-Team Y (1-0).
Q28.

Which of the following score line is a possible outcome in the tournament?

XAT 2018 · QA & DI
Passage / Data

Answer the next 3 questions based on the information given below.

Six teams are playing in a hockey tournament where each team is playing against every other team exactly once. At an intermediate stage, the status is as follows;

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Note:

  • The team that scores more goals than it concedes wins the match, while if both the teams score the same no. of goals, the match is declared drawn.
  • In a match played between Team X and Team Y, if team X scores 1 and concedes none, then the score line would read. Team X-Team Y (1-0).
Q29.

Which of the following score line is not a possible outcome in the tournament?

XAT 2018 · QA & DI
Passage / Data

Answer the next 3 questions based on the information given below.

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The graphs below represent the performance of four professors, across years, measured on four variables: Percentage of time spent on teaching, percentage of time spent on research, feedback (on a scale of 10, right-hand side) and number of publications (right-hand side). Assume that the cumulative time spent per year on research and teaching activities are same for all four professors and each of them taught only one course of 90 classroom hours.

Q30.

Which of the following, shows the maximum year to year percentage growth in feedback?

XAT 2018 · QA & DI
Passage / Data

Answer the next 3 questions based on the information given below.

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The graphs below represent the performance of four professors, across years, measured on four variables: Percentage of time spent on teaching, percentage of time spent on research, feedback (on a scale of 10, right-hand side) and number of publications (right-hand side). Assume that the cumulative time spent per year on research and teaching activities are same for all four professors and each of them taught only one course of 90 classroom hours.

Q31.

Count the number of instances in which "annual decreasing efforts in research" is accompanied with "annual increase in feedback"?

XAT 2018 · QA & DI
Passage / Data

Answer the next 3 questions based on the information given below.

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The graphs below represent the performance of four professors, across years, measured on four variables: Percentage of time spent on teaching, percentage of time spent on research, feedback (on a scale of 10, right-hand side) and number of publications (right-hand side). Assume that the cumulative time spent per year on research and teaching activities are same for all four professors and each of them taught only one course of 90 classroom hours.

Q32.

Research efficiency is the ratio of cumulative number of publication for a period of 3 years to the cumulative number of hours spent on research activity in those 3 years. Which of the following professors is the least efficient researcher for the period 2015 to 2017?

XAT 2017 · QA & DI
Passage / Data

Answer the next 4 questions based on the following information:

Abdul has 8 factories, with different capacities, producing boutique kurtas. In the production process, he incurs raw material cost, selling cost (for packaging and transportation) and labour cost. These costs per kurta vary across factories. In all these factories, a worker takes 2 hours to produce a kurta. Profit per kurta is calculated by deducting raw material cost, selling cost and labour cost from the selling price (Profit = selling price - raw materials cost - selling cost - labour cost). Any other cost can be ignored.

Exhibit: Business Details of Abdul’s 8 Factories

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Q33.

Which of the following options is in decreasing order of raw materials cost?

XAT 2017 · QA & DI
Passage / Data

Answer the next 4 questions based on the following information:

Abdul has 8 factories, with different capacities, producing boutique kurtas. In the production process, he incurs raw material cost, selling cost (for packaging and transportation) and labour cost. These costs per kurta vary across factories. In all these factories, a worker takes 2 hours to produce a kurta. Profit per kurta is calculated by deducting raw material cost, selling cost and labour cost from the selling price (Profit = selling price - raw materials cost - selling cost - labour cost). Any other cost can be ignored.

Exhibit: Business Details of Abdul’s 8 Factories

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Q34.

Which of the factories listed in the options below has the lowest sales margin (sales margin = profit per kurta divided by selling price per kurta)?

XAT 2017 · QA & DI
Passage / Data

Answer the next 4 questions based on the following information:

Abdul has 8 factories, with different capacities, producing boutique kurtas. In the production process, he incurs raw material cost, selling cost (for packaging and transportation) and labour cost. These costs per kurta vary across factories. In all these factories, a worker takes 2 hours to produce a kurta. Profit per kurta is calculated by deducting raw material cost, selling cost and labour cost from the selling price (Profit = selling price - raw materials cost - selling cost - labour cost). Any other cost can be ignored.

Exhibit: Business Details of Abdul’s 8 Factories

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Q35.

Abdul has received an order for 2,000 kurtas from a big retail chain. They will collect the finished pre-packaged kurtas directly from the factories, saving him the selling cost. To deliver this order, he can use multiple factories for production. Which of the following options will ensure maximum profit from this order?

XAT 2017 · QA & DI
Passage / Data

Answer the next 4 questions based on the following information:

Abdul has 8 factories, with different capacities, producing boutique kurtas. In the production process, he incurs raw material cost, selling cost (for packaging and transportation) and labour cost. These costs per kurta vary across factories. In all these factories, a worker takes 2 hours to produce a kurta. Profit per kurta is calculated by deducting raw material cost, selling cost and labour cost from the selling price (Profit = selling price - raw materials cost - selling cost - labour cost). Any other cost can be ignored.

Exhibit: Business Details of Abdul’s 8 Factories

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Q36.

Abdul has introduced a new technology in all his factories. As a result, a worker needs just 1.5 hours to produce a kurta. If raw materials cost and selling cost remain the same, which of the factories listed in the options below will yield the highest profit per kurta?

XAT 2017 · QA & DI
Passage / Data

Answer the next 4 questions based on the following information:

The grid below captures relationships among seven personality dimensions: "extraversion", "true_arousal_plac", "true_arousal_caff”, "arousal_plac", "arousal_caff”, "performance_plac", and "performance caff”. The diagonal represents histograms of the seven dimensions. Left of the diagonal represents scatterplots between the dimensions while the right of the diagonal represents quantitative relationships between the dimensions. The lines in the scatterplots are closest approximation of the points. The value of the relationships to the right of the diagonal can vary from -1 to +1, with -1 being the extreme linear negative relation and +1 extreme linear positive relation. (Axes of the graph are conventionally drawn).

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Q37.

Which of the following is true?

XAT 2017 · QA & DI
Passage / Data

Answer the next 4 questions based on the following information:

The grid below captures relationships among seven personality dimensions: "extraversion", "true_arousal_plac", "true_arousal_caff”, "arousal_plac", "arousal_caff”, "performance_plac", and "performance caff”. The diagonal represents histograms of the seven dimensions. Left of the diagonal represents scatterplots between the dimensions while the right of the diagonal represents quantitative relationships between the dimensions. The lines in the scatterplots are closest approximation of the points. The value of the relationships to the right of the diagonal can vary from -1 to +1, with -1 being the extreme linear negative relation and +1 extreme linear positive relation. (Axes of the graph are conventionally drawn).

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Q38.

Which of the scatterplots shows the weakest relationship?

XAT 2017 · QA & DI
Passage / Data

Answer the next 4 questions based on the following information:

The grid below captures relationships among seven personality dimensions: "extraversion", "true_arousal_plac", "true_arousal_caff”, "arousal_plac", "arousal_caff”, "performance_plac", and "performance caff”. The diagonal represents histograms of the seven dimensions. Left of the diagonal represents scatterplots between the dimensions while the right of the diagonal represents quantitative relationships between the dimensions. The lines in the scatterplots are closest approximation of the points. The value of the relationships to the right of the diagonal can vary from -1 to +1, with -1 being the extreme linear negative relation and +1 extreme linear positive relation. (Axes of the graph are conventionally drawn).

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Q39.

In which of the following scatterplots, the value of one dimension can be used to predict the value of another, as accurately as possible?

XAT 2017 · QA & DI
Passage / Data

Answer the next 4 questions based on the following information:

The grid below captures relationships among seven personality dimensions: "extraversion", "true_arousal_plac", "true_arousal_caff”, "arousal_plac", "arousal_caff”, "performance_plac", and "performance caff”. The diagonal represents histograms of the seven dimensions. Left of the diagonal represents scatterplots between the dimensions while the right of the diagonal represents quantitative relationships between the dimensions. The lines in the scatterplots are closest approximation of the points. The value of the relationships to the right of the diagonal can vary from -1 to +1, with -1 being the extreme linear negative relation and +1 extreme linear positive relation. (Axes of the graph are conventionally drawn).

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Q40.

Which of the following options is correct?

XAT 2016 · QA & DI
Passage / Data

Answer the next 4 questions based on the information given below.

This graph depicts the last eight years annual salaries (in Rs. lacs.) offered to student during campus placement. Every year 100 students go through placement process. However, at least one of them fails to get placed. The salaries of all unplaced students are marked zero and represented in the graph.

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The bold line in the graph presents Mean salaries at various years.

Q41.

In which year were a maximum number of students offered salaries between Rs. 20 to Rs. 30 lacs (both inclusive)?

XAT 2016 · QA & DI
Passage / Data

Answer the next 4 questions based on the information given below.

This graph depicts the last eight years annual salaries (in Rs. lacs.) offered to student during campus placement. Every year 100 students go through placement process. However, at least one of them fails to get placed. The salaries of all unplaced students are marked zero and represented in the graph.

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The bold line in the graph presents Mean salaries at various years.

Q42.

Identify the years in which the annual median salary is higher by at least 60% than the average salary of the preceding year?

XAT 2016 · QA & DI
Passage / Data

Answer the next 4 questions based on the information given below.

This graph depicts the last eight years annual salaries (in Rs. lacs.) offered to student during campus placement. Every year 100 students go through placement process. However, at least one of them fails to get placed. The salaries of all unplaced students are marked zero and represented in the graph.

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The bold line in the graph presents Mean salaries at various years.

Q43.

Identify the number of years in which the difference between the average salaries of the top 25% and the bottom 25% is more than Rs. 20 lacs:

XAT 2016 · QA & DI
Passage / Data

Answer the next 4 questions based on the information given below.

This graph depicts the last eight years annual salaries (in Rs. lacs.) offered to student during campus placement. Every year 100 students go through placement process. However, at least one of them fails to get placed. The salaries of all unplaced students are marked zero and represented in the graph.

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The bold line in the graph presents Mean salaries at various years.

Q44.

If the average salary is computed excluding students with no offers, in how many years will the new average salary be greater than the existing median salary? Refer the table below for number of students without offers.

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XAT 2016 · QA & DI
Passage / Data

Answer the following questions based on the information given below.

Study the data given in the table below and answer the question that follow:

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All figures are in percentage

Based on survey of ‘shop types’ Kamath categorized Indian states into four geographical regions as shown in the table above. His boss felt that the categorization was inadequate since important labels were missing. Kamath argued that no further labels are required to interpret the data.

Q45.

A consultant observing the data made the following two inferences:

Inference I: The number of Grocers per-thousand-population is the highest in North India.

Inference II: The number of Cosmetic per-thousand-population is the highest in South India.

Which of following options is DEFINITELY correct?

XAT 2016 · QA & DI
Passage / Data

Answer the following questions based on the information given below.

Study the data given in the table below and answer the question that follow:

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All figures are in percentage

Based on survey of ‘shop types’ Kamath categorized Indian states into four geographical regions as shown in the table above. His boss felt that the categorization was inadequate since important labels were missing. Kamath argued that no further labels are required to interpret the data.

Q46.

The average size of Food Shops in East India was twice that of Food Shops in West India. Which of the following cannot be inferred from the above data?

XAT 2016 · QA & DI
Passage / Data

Answer the following questions based on the information given below.

Study the data given in the table below and answer the question that follow:

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All figures are in percentage

Based on survey of ‘shop types’ Kamath categorized Indian states into four geographical regions as shown in the table above. His boss felt that the categorization was inadequate since important labels were missing. Kamath argued that no further labels are required to interpret the data.

Q47.

Bala collected the same data five years after Kamath, using the same categorization. His data is presented below:

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Which of the following statements can DEFINITELY be concluded?

XAT 2015 · QA & DI
Passage / Data

Answer the following questions on the basis of information given below.

Twitter allows its users to post/share and read short messages known as tweets. Tweets can be of three types – Positive Tweets (in support), Negative Tweets (against) and Neutral Tweets. The following table presents the Number of Votes and Tweets received by certain political parties.

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* Any party which has secured less than 2% of the total votes falls under ‘Other Parties’ category. For example, Party E secured less than 2% of total votes, in the year 2000.
Note: If the vote share (%age of total votes) of a party changes from 15% to 40%, gain in vote share would be 25% (= 40%, –15%).

Q48.

Which of the following options correctly arranges the political parties in descending order of gain in vote share from the year 2005 to the year 2010?

XAT 2015 · QA & DI
Passage / Data

Answer the following questions on the basis of information given below.

Twitter allows its users to post/share and read short messages known as tweets. Tweets can be of three types – Positive Tweets (in support), Negative Tweets (against) and Neutral Tweets. The following table presents the Number of Votes and Tweets received by certain political parties.

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* Any party which has secured less than 2% of the total votes falls under ‘Other Parties’ category. For example, Party E secured less than 2% of total votes, in the year 2000.
Note: If the vote share (%age of total votes) of a party changes from 15% to 40%, gain in vote share would be 25% (= 40%, –15%).

Q49.

Which of the following parties received maximum number of “neutral tweets” in the year 2010?

XAT 2015 · QA & DI
Passage / Data

Answer the following questions on the basis of information given below.

Twitter allows its users to post/share and read short messages known as tweets. Tweets can be of three types – Positive Tweets (in support), Negative Tweets (against) and Neutral Tweets. The following table presents the Number of Votes and Tweets received by certain political parties.

​​​​​​​

* Any party which has secured less than 2% of the total votes falls under ‘Other Parties’ category. For example, Party E secured less than 2% of total votes, in the year 2000.
Note: If the vote share (%age of total votes) of a party changes from 15% to 40%, gain in vote share would be 25% (= 40%, –15%).

Q50.

Between 2000 and 2010, in terms of gain in vote share which of the following cannot be a possible value (approximated to one decimal place) for any party?

XAT 2015 · QA & DI
Passage / Data

Answer the following questions on the basis of information given below.

Twitter allows its users to post/share and read short messages known as tweets. Tweets can be of three types – Positive Tweets (in support), Negative Tweets (against) and Neutral Tweets. The following table presents the Number of Votes and Tweets received by certain political parties.

​​​​​​​

* Any party which has secured less than 2% of the total votes falls under ‘Other Parties’ category. For example, Party E secured less than 2% of total votes, in the year 2000.
Note: If the vote share (%age of total votes) of a party changes from 15% to 40%, gain in vote share would be 25% (= 40%, –15%).

Q51.

In 2010, which of the following options has maximum difference between the vote share and tweet share?

XAT 2015 · QA & DI
Passage / Data

Answer the questions on the basis of information given below.

As a part of employee improvement programs, every year an organization conducts a survey on three factors: 1. Number of days (in integers) of training undergone, 2. Amount of bonus (in lacs) received by an employee and 3. Employee effectiveness score (on the scale of 1 to 10). Survey results for last two years are given below for the same seven employees.

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Q52.

In Survey 1, what was the average bonus earned by employees who underwent training for more than 17 days?

XAT 2015 · QA & DI
Passage / Data

Answer the questions on the basis of information given below.

As a part of employee improvement programs, every year an organization conducts a survey on three factors: 1. Number of days (in integers) of training undergone, 2. Amount of bonus (in lacs) received by an employee and 3. Employee effectiveness score (on the scale of 1 to 10). Survey results for last two years are given below for the same seven employees.

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Q53.

Identify the number of employees whose employee effectiveness score was higher than 7 in Survey 1, but whose bonus was lower than 20 lacs in Survey 2.

XAT 2015 · QA & DI
Passage / Data

Answer the questions on the basis of information given below.

As a part of employee improvement programs, every year an organization conducts a survey on three factors: 1. Number of days (in integers) of training undergone, 2. Amount of bonus (in lacs) received by an employee and 3. Employee effectiveness score (on the scale of 1 to 10). Survey results for last two years are given below for the same seven employees.

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Q54.

From Survey 1 to Survey 2, how many employees underwent more days of training but their annual bonus decreased?

XAT 2015 · QA & DI
Passage / Data

Answer the questions on the basis of information given below.

As a part of employee improvement programs, every year an organization conducts a survey on three factors: 1. Number of days (in integers) of training undergone, 2. Amount of bonus (in lacs) received by an employee and 3. Employee effectiveness score (on the scale of 1 to 10). Survey results for last two years are given below for the same seven employees.

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Q55.

From Survey 1 to Survey 2: for how many employees training days increased along with an increase of employee effective score by at least 1.0 rating?

XAT 2012 · QA & DI
Passage / Data

Answer the following question based on the information given below.

The following graphs shows the revenue (in $ million) of three companies in their initial six years of operations, in an economy which is characterized by a persistent inflation.

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Q56.

In 2010, which could be a valid statement about the revenues (adjusted for inflation) of these three companies?

XAT 2012 · QA & DI
Passage / Data

Answer the following question based on the information given below.

The following graphs shows the revenue (in $ million) of three companies in their initial six years of operations, in an economy which is characterized by a persistent inflation.

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Q57.

The difference in the average percentage increase in revenues, from 4th to 6th year, of Yahoo and Facebook is:

XAT 2012 · QA & DI
Passage / Data

Answer the following question based on the information given below.

The following graphs shows the revenue (in $ million) of three companies in their initial six years of operations, in an economy which is characterized by a persistent inflation.

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Q58.

What would have been Facebook’s revenue (in $ million) in its sixth year of operation if the company had matched Google’s percentage growth in revenues from the fifth to the sixth year?
Choose the option that is nearest to the answer.

XAT 2012 · QA & DI
Passage / Data

Answer the following question based on the information given below.

The following pie chart shows the percentage distribution of runs scored by a batsman in a test innings.

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Q59.

If the batsman has scored a total of 306 runs, how many 4s and 6s did he hit?

XAT 2012 · QA & DI
Passage / Data

Answer the following question based on the information given below.

The following pie chart shows the percentage distribution of runs scored by a batsman in a test innings.

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Q60.

If 5 of the dot balls had been hit for 4s, and if two of the shots for which the batsman scored 3 runs each had fetched him one run instead, what would have been the central angle of the sector corresponding to the percentage of runs scored in 4s?