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Q1:

2025 Slot 2

Data Interpretation > Bar Graphs

Medium

The following charts depict details of research papers written by four authors, Arman, Brajen, Chintan, and Devon. The papers were of four types, single-author, two-author, three-author, and four-author, that is, written by one, two, three, or all four of these authors, respectively. No other authors were involved in writing these papers. <img src="https://balti.aftergrad.in/questions/LHBuWYGoyeiX3zr" width="600px"/> The following additional facts are known. 1. Each of the authors wrote at least one of each of the four types of papers. 2. The four authors wrote different numbers of single-author papers. 3. Both Chintan and Devon wrote more three-author papers than Brajen. 4. The number of single-author and two-author papers written by Brajen were the same.

What was the total number of two-author and three-author papers written by Brajen?

Entered answer:

Correct Answer

4

Correct Answer

Explanation →

Q2:

2025 Slot 2

Data Interpretation > Bar Graphs

Medium

The following charts depict details of research papers written by four authors, Arman, Brajen, Chintan, and Devon. The papers were of four types, single-author, two-author, three-author, and four-author, that is, written by one, two, three, or all four of these authors, respectively. No other authors were involved in writing these papers. <img src="https://balti.aftergrad.in/questions/LHBuWYGoyeiX3zr" width="600px"/> The following additional facts are known. 1. Each of the authors wrote at least one of each of the four types of papers. 2. The four authors wrote different numbers of single-author papers. 3. Both Chintan and Devon wrote more three-author papers than Brajen. 4. The number of single-author and two-author papers written by Brajen were the same.

Which of the following statements is/are NECESSARILY true? i. Chintan wrote exactly three two-author papers. ii. Chintan wrote more single-author papers than Devon.

Only ii

Both i and ii

Neither i nor ii

Only i

Correct Answer

Option 3

Correct Answer

Explanation →

Q3:

2025 Slot 2

Data Interpretation > Bar Graphs

Medium

The following charts depict details of research papers written by four authors, Arman, Brajen, Chintan, and Devon. The papers were of four types, single-author, two-author, three-author, and four-author, that is, written by one, two, three, or all four of these authors, respectively. No other authors were involved in writing these papers. <img src="https://balti.aftergrad.in/questions/LHBuWYGoyeiX3zr" width="600px"/> The following additional facts are known. 1. Each of the authors wrote at least one of each of the four types of papers. 2. The four authors wrote different numbers of single-author papers. 3. Both Chintan and Devon wrote more three-author papers than Brajen. 4. The number of single-author and two-author papers written by Brajen were the same.

Which of the following statements is/are NECESSARILY true? i. Arman wrote three-author papers only with Chintan and Devon. ii. Brajen wrote three-author papers only with Chintan and Devon.

Neither i or ii

Only i

Both i and ii

Only ii

Correct Answer

Option 3

Correct Answer

Explanation →

Q4:

2025 Slot 2

Data Interpretation > Bar Graphs

Medium

The following charts depict details of research papers written by four authors, Arman, Brajen, Chintan, and Devon. The papers were of four types, single-author, two-author, three-author, and four-author, that is, written by one, two, three, or all four of these authors, respectively. No other authors were involved in writing these papers. <img src="https://balti.aftergrad.in/questions/LHBuWYGoyeiX3zr" width="600px"/> The following additional facts are known. 1. Each of the authors wrote at least one of each of the four types of papers. 2. The four authors wrote different numbers of single-author papers. 3. Both Chintan and Devon wrote more three-author papers than Brajen. 4. The number of single-author and two-author papers written by Brajen were the same.

If Devon wrote more than one two-author papers, then how many two-author papers did Chintan write?

Entered answer:

Correct Answer

3

Correct Answer

Explanation →

Q5:

CAT 2024 Slot 3

Data Interpretation > Bar Graphs

Easy

Over the top (OTT) subscribers of a platform are segregated into three categories: $$\newline$$ i) Kid, ii) Elder, and iii) Others. $$\newline$$ Some of the subscribers used one app and the others used multiple apps to access the platform. The figure below shows a bar graph representing the percentage of the total number of subscribers in 2023 and 2024 who belong to the 'Kid' and 'Elder' categories. $$\newline$$ <img src="https://balti.aftergrad.in/questions/M5Y9sVCA345z47y" width="400px"/> $$\newline$$ The following additional facts are known about the number of subscribers. $$\newline$$ <ol> $\newline$ <li>The total number of subscribers increased by 10% from 2023 to 2024.</li> $$\newline$$ <li>In 2024, 1/2 of the subscribers from the ‘Kid' category and 2/3 of the subscribers from the 'Elder' category subscribers use one app.</li> $$\newline$$ <li>In 2023, the number of subscribers from the 'Kid' category who used multiple apps was the same as the number of subscribers from the 'Elder' category who used one app.</li> $$\newline$$ <li>10,000 subscribers from the 'Kid' category used one app and 15,000 subscribers from the 'Elder' category used multiple apps in 2023.</li> $\newline$ </ol>

How many subscribers belonged to the ‘Others' category in 2024?

45000

55000

Cannot be determined

65000

Correct Answer

Option 2

Correct Answer

Explanation →

Q6:

CAT 2024 Slot 3

Data Interpretation > Bar Graphs

Easy

Over the top (OTT) subscribers of a platform are segregated into three categories: $$\newline$$ i) Kid, ii) Elder, and iii) Others. $$\newline$$ Some of the subscribers used one app and the others used multiple apps to access the platform. The figure below shows a bar graph representing the percentage of the total number of subscribers in 2023 and 2024 who belong to the 'Kid' and 'Elder' categories. $$\newline$$ <img src="https://balti.aftergrad.in/questions/M5Y9sVCA345z47y" width="400px"/> $$\newline$$ The following additional facts are known about the number of subscribers. $$\newline$$ <ol> $\newline$ <li>The total number of subscribers increased by 10% from 2023 to 2024.</li> $$\newline$$ <li>In 2024, 1/2 of the subscribers from the ‘Kid' category and 2/3 of the subscribers from the 'Elder' category subscribers use one app.</li> $$\newline$$ <li>In 2023, the number of subscribers from the 'Kid' category who used multiple apps was the same as the number of subscribers from the 'Elder' category who used one app.</li> $$\newline$$ <li>10,000 subscribers from the 'Kid' category used one app and 15,000 subscribers from the 'Elder' category used multiple apps in 2023.</li> $\newline$ </ol>

What percentage of subscribers in the ‘Kid’ category used multiple apps in 2023?

50.00%

5.00%

33.33%

25.50%

Correct Answer

Option 3

Correct Answer

Explanation →

Q7:

CAT 2024 Slot 3

Data Interpretation > Bar Graphs

Easy

Over the top (OTT) subscribers of a platform are segregated into three categories: $$\newline$$ i) Kid, ii) Elder, and iii) Others. $$\newline$$ Some of the subscribers used one app and the others used multiple apps to access the platform. The figure below shows a bar graph representing the percentage of the total number of subscribers in 2023 and 2024 who belong to the 'Kid' and 'Elder' categories. $$\newline$$ <img src="https://balti.aftergrad.in/questions/M5Y9sVCA345z47y" width="400px"/> $$\newline$$ The following additional facts are known about the number of subscribers. $$\newline$$ <ol> $\newline$ <li>The total number of subscribers increased by 10% from 2023 to 2024.</li> $$\newline$$ <li>In 2024, 1/2 of the subscribers from the ‘Kid' category and 2/3 of the subscribers from the 'Elder' category subscribers use one app.</li> $$\newline$$ <li>In 2023, the number of subscribers from the 'Kid' category who used multiple apps was the same as the number of subscribers from the 'Elder' category who used one app.</li> $$\newline$$ <li>10,000 subscribers from the 'Kid' category used one app and 15,000 subscribers from the 'Elder' category used multiple apps in 2023.</li> $\newline$ </ol>

What was the percentage increase in the number of subscribers in the ‘Elder’ category from 2023 to $\newline$ 2024?

50%

65%

60%

40%

Correct Answer

Option 2

Correct Answer

Explanation →

Q8:

CAT 2024 Slot 3

Data Interpretation > Bar Graphs

Easy

Over the top (OTT) subscribers of a platform are segregated into three categories: $$\newline$$ i) Kid, ii) Elder, and iii) Others. $$\newline$$ Some of the subscribers used one app and the others used multiple apps to access the platform. The figure below shows a bar graph representing the percentage of the total number of subscribers in 2023 and 2024 who belong to the 'Kid' and 'Elder' categories. $$\newline$$ <img src="https://balti.aftergrad.in/questions/M5Y9sVCA345z47y" width="400px"/> $$\newline$$ The following additional facts are known about the number of subscribers. $$\newline$$ <ol> $\newline$ <li>The total number of subscribers increased by 10% from 2023 to 2024.</li> $$\newline$$ <li>In 2024, 1/2 of the subscribers from the ‘Kid' category and 2/3 of the subscribers from the 'Elder' category subscribers use one app.</li> $$\newline$$ <li>In 2023, the number of subscribers from the 'Kid' category who used multiple apps was the same as the number of subscribers from the 'Elder' category who used one app.</li> $$\newline$$ <li>10,000 subscribers from the 'Kid' category used one app and 15,000 subscribers from the 'Elder' category used multiple apps in 2023.</li> $\newline$ </ol>

What could be the minimum percentage of subscribers who used multiple apps in2024?

20.0%

10.0%

22.00%

16.5%

Correct Answer

Option 1

Correct Answer

Explanation →

Q9:

CAT 2024 Slot 3

Data Interpretation > Bar Graphs

Medium

The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature. If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes. If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour. The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00) and 2 am (2:00) that night. <img src="https://balti.aftergrad.in/questions/mLNEAkshK2c24xj" width="500px"> The following facts are known about the AC operation that night. - The AC was turned on for the first time that night at $11 \mathrm{pm}(23: 00)$. - The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at $30$ minutes after the hour. - The AC was used in POWER mode for longer duration than in REGULAR mode during this3-hour period.

How many times the AC must have been turned off between 11:01 pm and 1:59 am?

0

2

1

cannot be determined

Correct Answer

Option 2

Correct Answer

Explanation →

Q10:

CAT 2024 Slot 3

Data Interpretation > Bar Graphs

Medium

The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature. If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes. If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour. The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00) and 2 am (2:00) that night. <img src="https://balti.aftergrad.in/questions/mLNEAkshK2c24xj" width="500px"> The following facts are known about the AC operation that night. - The AC was turned on for the first time that night at $11 \mathrm{pm}(23: 00)$. - The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at $30$ minutes after the hour. - The AC was used in POWER mode for longer duration than in REGULAR mode during this3-hour period.

What was the temperature outside, in degree Celsius, at 1 am?

Entered answer:

Correct Answer

34

Correct Answer

Explanation →

Q11:

CAT 2024 Slot 3

Data Interpretation > Bar Graphs

Medium

The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature. If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes. If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour. The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00) and 2 am (2:00) that night. <img src="https://balti.aftergrad.in/questions/mLNEAkshK2c24xj" width="500px"> The following facts are known about the AC operation that night. - The AC was turned on for the first time that night at $11 \mathrm{pm}(23: 00)$. - The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at $30$ minutes after the hour. - The AC was used in POWER mode for longer duration than in REGULAR mode during this3-hour period.

What was the temperature outside, in degree Celsius, at 9 pm?

Entered answer:

Correct Answer

42

Correct Answer

Explanation →

Q12:

CAT 2024 Slot 3

Data Interpretation > Bar Graphs

Medium

The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature. If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes. If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour. The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00) and 2 am (2:00) that night. <img src="https://balti.aftergrad.in/questions/mLNEAkshK2c24xj" width="500px"> The following facts are known about the AC operation that night. - The AC was turned on for the first time that night at $11 \mathrm{pm}(23: 00)$. - The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at $30$ minutes after the hour. - The AC was used in POWER mode for longer duration than in REGULAR mode during this3-hour period.

What best can be concluded about the number of times the AC must have either been turned on or the AC temperature setting been altered between 11:01 pm and 1:59 am?

Exactly 2

Either 2 or 3

More than 3

Exactly 3

Correct Answer

Option 4

Correct Answer

Explanation →

Q13:

CAT 2024 Slot 3

Data Interpretation > Bar Graphs

Medium

The air-conditioner (AC) in a large room can be operated either in REGULAR mode or in POWER mode to reduce the temperature. If the AC operates in REGULAR mode, then it brings down the temperature inside the room (called inside temperature) at a constant rate to the set temperature in 1 hour. If it operates in POWER mode, then this is achieved in 30 minutes. If the AC is switched off, then the inside temperature rises at a constant rate so as to reach the temperature outside at the time of switching off in 1 hour. The temperature outside has been falling at a constant rate from 7 pm onward until 3 am on a particular night. The following graph shows the inside temperature between 11 pm (23:00) and 2 am (2:00) that night. <img src="https://balti.aftergrad.in/questions/mLNEAkshK2c24xj" width="500px"> The following facts are known about the AC operation that night. - The AC was turned on for the first time that night at $11 \mathrm{pm}(23: 00)$. - The AC setting was changed (including turning it on/off, and/or setting different temperatures) only at the beginning of the hour or at $30$ minutes after the hour. - The AC was used in POWER mode for longer duration than in REGULAR mode during this3-hour period.

What was the maximum difference between temperature outside and inside temperature, in degree Celsius, between 11:01 pm and 1:59 am?

Entered answer:

Correct Answer

10

Correct Answer

Explanation →

Q14:

CAT 2024 Slot 2

Data Interpretation > Bar Graphs

Medium

An online e-commerce firm receives daily integer product ratings from 1 through 5 given by buyers. The daily average is the average of the ratings given on that day. The cumulative average is the average of all ratings given on or before that day. $$\newline$$ The rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1 and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure below. $$\newline$$ <img src="https://balti.aftergrad.in/questions/ivSc5adaJ9n6fyt" width="400px"/> $$\newline$$ The following information is known about ratings on Day 3. $$\newline$$ <ol><li>100 buyers gave product ratings on Day 3.</li> $$\newline$$ <li>The modes of the product ratings were 4 and 5.</li> $$\newline$$ <li>The numbers of buyers giving each product rating are non-zero multiples of 10.</li> $$\newline$$ <li>The same number of buyers gave product ratings of 1 and 2, and that number is half the number of buyers who gave a rating of 3.</li> $\newline$ </ol>

How many buyers gave ratings on Day 1?

Entered answer:

Correct Answer

150

Correct Answer

Explanation →

Q15:

CAT 2024 Slot 2

Data Interpretation > Bar Graphs

Medium

An online e-commerce firm receives daily integer product ratings from 1 through 5 given by buyers. The daily average is the average of the ratings given on that day. The cumulative average is the average of all ratings given on or before that day. $$\newline$$ The rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1 and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure below. $$\newline$$ <img src="https://balti.aftergrad.in/questions/ivSc5adaJ9n6fyt" width="400px"/> $$\newline$$ The following information is known about ratings on Day 3. $$\newline$$ <ol><li>100 buyers gave product ratings on Day 3.</li> $$\newline$$ <li>The modes of the product ratings were 4 and 5.</li> $$\newline$$ <li>The numbers of buyers giving each product rating are non-zero multiples of 10.</li> $$\newline$$ <li>The same number of buyers gave product ratings of 1 and 2, and that number is half the number of buyers who gave a rating of 3.</li> $\newline$ </ol>

What is the daily average rating of Day 3?

3.6

3.4

3.0

3.2

Correct Answer

Option 1

Correct Answer

Explanation →

Q16:

CAT 2024 Slot 2

Data Interpretation > Bar Graphs

Medium

An online e-commerce firm receives daily integer product ratings from 1 through 5 given by buyers. The daily average is the average of the ratings given on that day. The cumulative average is the average of all ratings given on or before that day. $$\newline$$ The rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1 and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure below. $$\newline$$ <img src="https://balti.aftergrad.in/questions/ivSc5adaJ9n6fyt" width="400px"/> $$\newline$$ The following information is known about ratings on Day 3. $$\newline$$ <ol><li>100 buyers gave product ratings on Day 3.</li> $$\newline$$ <li>The modes of the product ratings were 4 and 5.</li> $$\newline$$ <li>The numbers of buyers giving each product rating are non-zero multiples of 10.</li> $$\newline$$ <li>The same number of buyers gave product ratings of 1 and 2, and that number is half the number of buyers who gave a rating of 3.</li> $\newline$ </ol>

What is the median of all ratings given on Day 3?

Entered answer:

Correct Answer

4

Correct Answer

Explanation →

Q17:

CAT 2024 Slot 2

Data Interpretation > Bar Graphs

Medium

An online e-commerce firm receives daily integer product ratings from 1 through 5 given by buyers. The daily average is the average of the ratings given on that day. The cumulative average is the average of all ratings given on or before that day. $$\newline$$ The rating system began on Day 1, and the cumulative averages were 3 and 3.1 at the end of Day 1 and Day 2, respectively. The distribution of ratings on Day 2 is given in the figure below. $$\newline$$ <img src="https://balti.aftergrad.in/questions/ivSc5adaJ9n6fyt" width="400px"/> $$\newline$$ The following information is known about ratings on Day 3. $$\newline$$ <ol><li>100 buyers gave product ratings on Day 3.</li> $$\newline$$ <li>The modes of the product ratings were 4 and 5.</li> $$\newline$$ <li>The numbers of buyers giving each product rating are non-zero multiples of 10.</li> $$\newline$$ <li>The same number of buyers gave product ratings of 1 and 2, and that number is half the number of buyers who gave a rating of 3.</li> $\newline$ </ol>

Which of the following is true about the cumulative average ratings of Day 2 and Day 3?

1. The cumulative average of Day 3 decreased from Day 2.

2. The cumulative average of Day 3 increased by more than 8% from Day 2.

3. The cumulative average of Day 3 increased by less than 5% from Day 2.

4. The cumulative average of Day 3 increased by a percentage between 5% and 8% from Day 2.

Correct Answer

Option 4

Correct Answer

Explanation →

Q18:

CAT 2024 Slot 1

Data Interpretation > Bar Graphs

Easy

Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below. $$\newline$$ <img src="https://balti.aftergrad.in/questions/R0v75KqSv0V0y0Q" width="400px"/> $$\newline$$ The following additional facts are known regarding the number of stars received by the bloggers from the surfers. $$\newline$$ 1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0). $$\newline$$ 2. The total numbers of stars received by the bloggers were the same. $$\newline$$ 3. Each blogger received a different number of stars from M. $$\newline$$ 4. Two surfers gave all their stars to a single blogger. 5. D received more stars than C from Y.

What was the total number of stars received by D?

Entered answer:

Correct Answer

45

Correct Answer

Explanation →

Q19:

CAT 2024 Slot 1

Data Interpretation > Bar Graphs

Easy

Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below. $$\newline$$ <img src="https://balti.aftergrad.in/questions/R0v75KqSv0V0y0Q" width="400px"/> $$\newline$$ The following additional facts are known regarding the number of stars received by the bloggers from the surfers. $$\newline$$ 1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0). $$\newline$$ 2. The total numbers of stars received by the bloggers were the same. $$\newline$$ 3. Each blogger received a different number of stars from M. $$\newline$$ 4. Two surfers gave all their stars to a single blogger. 5. D received more stars than C from Y.

What was the number of stars received by D from Y?

10

0

5

cannot be determined

Correct Answer

Option 3

Correct Answer

Explanation →

Q20:

CAT 2024 Slot 1

Data Interpretation > Bar Graphs

Easy

Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below. $$\newline$$ <img src="https://balti.aftergrad.in/questions/R0v75KqSv0V0y0Q" width="400px"/> $$\newline$$ The following additional facts are known regarding the number of stars received by the bloggers from the surfers. $$\newline$$ 1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0). $$\newline$$ 2. The total numbers of stars received by the bloggers were the same. $$\newline$$ 3. Each blogger received a different number of stars from M. $$\newline$$ 4. Two surfers gave all their stars to a single blogger. 5. D received more stars than C from Y.

How many surfers distributed their stars among exactly 2 bloggers?

Entered answer:

Correct Answer

2

Correct Answer

Explanation →

Q21:

CAT 2024 Slot 1

Data Interpretation > Bar Graphs

Easy

Six web surfers M, N, O, P, X, and Y each had 30 stars which they distributed among four bloggers A, B, C, and D. The number of stars received by A and B from the six web surfers is shown in the figure below. $$\newline$$ <img src="https://balti.aftergrad.in/questions/R0v75KqSv0V0y0Q" width="400px"/> $$\newline$$ The following additional facts are known regarding the number of stars received by the bloggers from the surfers. $$\newline$$ 1. The numbers of stars received by the bloggers from the surfers were all multiples of 5 (including 0). $$\newline$$ 2. The total numbers of stars received by the bloggers were the same. $$\newline$$ 3. Each blogger received a different number of stars from M. $$\newline$$ 4. Two surfers gave all their stars to a single blogger. 5. D received more stars than C from Y.

Which of the following can be determined with certainty? $\newline$ <br/> $\newline$ I. The number of stars received by C from M $\newline$ <br/> $\newline$ II. The number of stars received by D from O

Neither I nor II

Both I and II

Only I

Only II

Correct Answer

Option 3

Correct Answer

Explanation →

Q22:

CAT 2022 Slot 3

Data Interpretation > Bar Graphs

Easy

In the following, a year corresponds to 1st of January of that year. A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990, 2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30. <img src="https://balti.aftergrad.in/questions/hone3C1ufec5iXC" width="700px"/>

In 2000, what was the ratio of the number of dead males to dead females among those being tracked?

41:43

71:69

129: 131

109: 107

Correct Answer

Option 2

Correct Answer

Explanation →

Q23:

CAT 2022 Slot 3

Data Interpretation > Bar Graphs

Easy

In the following, a year corresponds to 1st of January of that year. A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990, 2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30. <img src="https://balti.aftergrad.in/questions/hone3C1ufec5iXC" width="700px"/>

How many people who were being tracked and who were between 30 and 40 years of age in 1980 survived until 2010?

190

110

310

90

Correct Answer

Option 1

Correct Answer

Explanation →

Q24:

CAT 2022 Slot 3

Data Interpretation > Bar Graphs

Easy

In the following, a year corresponds to 1st of January of that year. A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990, 2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30. <img src="https://balti.aftergrad.in/questions/hone3C1ufec5iXC" width="700px"/>

How many individuals who were being tracked and who were less than 30 years of age in 1980 survived until 2020?

230

580

470

240

Correct Answer

Option 3

Correct Answer

Explanation →

Q25:

CAT 2022 Slot 3

Data Interpretation > Bar Graphs

Easy

In the following, a year corresponds to 1st of January of that year. A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990, 2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30. <img src="https://balti.aftergrad.in/questions/hone3C1ufec5iXC" width="700px"/>

How many of the males who were being tracked and who were between 20 and 30 years of age in 1980 died in the period 2000 to 2010?

Entered answer:

Correct Answer

40

Correct Answer

Explanation →

Q26:

CAT 2022 Slot 3

Data Interpretation > Bar Graphs

Easy

In the following, a year corresponds to 1st of January of that year. A study to determine the mortality rate for a disease began in 1980. The study chose 1000 males and 1000 females and followed them for forty years or until they died, whichever came first. The 1000 males chosen in 1980 consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The 1000 females chosen in 1980 also consisted of 250 each of ages 10 to less than 20, 20 to less than 30, 30 to less than 40, and 40 to less than 50. The four figures below depict the age profile of those among the 2000 individuals who were still alive in 1990, 2000, 2010, and 2020. The blue bars in each figure represent the number of males in each age group at that point in time, while the pink bars represent the number of females in each age group at that point in time. The numbers next to the bars give the exact numbers being represented by the bars. For example, we know that 230 males among those tracked and who were alive in 1990 were aged between 20 and 30. <img src="https://balti.aftergrad.in/questions/hone3C1ufec5iXC" width="700px"/>

How many of the females who were being tracked and who were between 20 and 30 years of age in 1980 died between the ages of 50 and 60?

Entered answer:

Correct Answer

30

Correct Answer

Explanation →

Q27:

CAT 2021 Slot 2

Data Interpretation > Bar Graphs

Easy

<img src="https://balti.aftergrad.in/questions/B7GYHEl4WH0EN50" width="500px"/> The different bars in the diagram above provide information about different orders in various categories (Art, Binders, ....) that were booked in the first two weeks of September of a store for one client. The colour and pattern of a bar denotes the ship mode (First Class / Second Class / Standard Class). The left end point of a bar indicates the booking day of the order, while the right end point indicates the dispatch day of the order. The difference between the dispatch day and the booking day (measured in terms of the number of days) is called the processing time of the order. For the same category, an order is considered for booking only after the previous order of the same category is dispatched. No two consecutive orders of the same category had identical ship mode during this period. For example, there were only two orders in the furnishing category during this period. The first one was shipped in the Second Class. It was booked on Sep 1 and dispatched on Sep 5. The second order was shipped in the Standard class. It was booked on Sep 5 (although the order might have been placed before that) and dispatched on Sep 12. So the processing times were 4 and 7 days respectively for these orders.

How many days between Sep 1 and Sep 14 (both inclusive) had no booking from this client considering all the above categories?

Entered answer:

Correct Answer

6

Correct Answer

Explanation →

Q28:

CAT 2021 Slot 2

Data Interpretation > Bar Graphs

Easy

<img src="https://balti.aftergrad.in/questions/B7GYHEl4WH0EN50" width="500px"/> The different bars in the diagram above provide information about different orders in various categories (Art, Binders, ....) that were booked in the first two weeks of September of a store for one client. The colour and pattern of a bar denotes the ship mode (First Class / Second Class / Standard Class). The left end point of a bar indicates the booking day of the order, while the right end point indicates the dispatch day of the order. The difference between the dispatch day and the booking day (measured in terms of the number of days) is called the processing time of the order. For the same category, an order is considered for booking only after the previous order of the same category is dispatched. No two consecutive orders of the same category had identical ship mode during this period. For example, there were only two orders in the furnishing category during this period. The first one was shipped in the Second Class. It was booked on Sep 1 and dispatched on Sep 5. The second order was shipped in the Standard class. It was booked on Sep 5 (although the order might have been placed before that) and dispatched on Sep 12. So the processing times were 4 and 7 days respectively for these orders.

What was the average processing time of all orders in the categories which had only one type of ship mode?

Entered answer:

Correct Answer

11

Correct Answer

Explanation →

Q29:

CAT 2021 Slot 2

Data Interpretation > Bar Graphs

Easy

<img src="https://balti.aftergrad.in/questions/B7GYHEl4WH0EN50" width="500px"/> The different bars in the diagram above provide information about different orders in various categories (Art, Binders, ....) that were booked in the first two weeks of September of a store for one client. The colour and pattern of a bar denotes the ship mode (First Class / Second Class / Standard Class). The left end point of a bar indicates the booking day of the order, while the right end point indicates the dispatch day of the order. The difference between the dispatch day and the booking day (measured in terms of the number of days) is called the processing time of the order. For the same category, an order is considered for booking only after the previous order of the same category is dispatched. No two consecutive orders of the same category had identical ship mode during this period. For example, there were only two orders in the furnishing category during this period. The first one was shipped in the Second Class. It was booked on Sep 1 and dispatched on Sep 5. The second order was shipped in the Standard class. It was booked on Sep 5 (although the order might have been placed before that) and dispatched on Sep 12. So the processing times were 4 and 7 days respectively for these orders.

The sequence of categories Art, Binders, Paper and Phones in decreasing order of average processing time of their orders in this period is:

Paper, Binders, Art, Phones

Phones, Art, Binders, Paper

Art, Binders, Paper, Phones

Phones, Binders, Art, Paper

Correct Answer

Option 2

Correct Answer

Explanation →

Q30:

CAT 2021 Slot 2

Data Interpretation > Bar Graphs

Easy

<img src="https://balti.aftergrad.in/questions/B7GYHEl4WH0EN50" width="500px"/> The different bars in the diagram above provide information about different orders in various categories (Art, Binders, ....) that were booked in the first two weeks of September of a store for one client. The colour and pattern of a bar denotes the ship mode (First Class / Second Class / Standard Class). The left end point of a bar indicates the booking day of the order, while the right end point indicates the dispatch day of the order. The difference between the dispatch day and the booking day (measured in terms of the number of days) is called the processing time of the order. For the same category, an order is considered for booking only after the previous order of the same category is dispatched. No two consecutive orders of the same category had identical ship mode during this period. For example, there were only two orders in the furnishing category during this period. The first one was shipped in the Second Class. It was booked on Sep 1 and dispatched on Sep 5. The second order was shipped in the Standard class. It was booked on Sep 5 (although the order might have been placed before that) and dispatched on Sep 12. So the processing times were 4 and 7 days respectively for these orders.

Approximately what percentage of orders had a processing time of one day during the period Sep 1 to Sep 22 (both dates inclusive)?

16%

22%

20%

25%

Correct Answer

Option 3

Correct Answer

Explanation →

Q31:

CAT 2021 Slot 1

Data Interpretation > Bar Graphs

Easy

The horizontal bars in the above diagram represent 2020 aggregate sales (in million ₹) of accompany for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019. <img src="https://balti.aftergrad.in/questions/FKYNT2b4wYHvJs5" width="500px"/>

The total sales (in million ₹) in 2019 from products in office supplies category is closest to

18.0

12.5

16.5

13.5

Correct Answer

Option 4

Correct Answer

Explanation →

Q32:

CAT 2021 Slot 1

Data Interpretation > Bar Graphs

Easy

The horizontal bars in the above diagram represent 2020 aggregate sales (in million ₹) of accompany for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019. <img src="https://balti.aftergrad.in/questions/FKYNT2b4wYHvJs5" width="500px"/>

The percentage increase in sales in Furniture category from 2019 to 2020 is closest to

20%

1%

8%

25%

Correct Answer

Option 3

Correct Answer

Explanation →

Q33:

CAT 2021 Slot 1

Data Interpretation > Bar Graphs

Easy

The horizontal bars in the above diagram represent 2020 aggregate sales (in million ₹) of accompany for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019. <img src="https://balti.aftergrad.in/questions/FKYNT2b4wYHvJs5" width="500px"/>

How many subcategories had sales of ₹ 4 million or more in 2019 and registered an increase in sales in excess of 25% in 2020?

Entered answer:

Correct Answer

1

Correct Answer

Explanation →

Q34:

CAT 2021 Slot 1

Data Interpretation > Bar Graphs

Easy

The horizontal bars in the above diagram represent 2020 aggregate sales (in million ₹) of accompany for the different subcategories of its products. The top four product subcategories (Bookcases, Chairs, Furnishings, Tables) belong to furniture product category; the bottom four product subcategories (Accessories, Copiers, Machines, Phones) belong to the technology product category while all other product subcategories belong to the office supply product category. For each of the product subcategories, there is a vertical line indicating the sales of the corresponding subcategory in 2019. <img src="https://balti.aftergrad.in/questions/FKYNT2b4wYHvJs5" width="500px"/>

The improvement index for a category is the maximum percentage increase in sales from 2019 to 2020 among any of its subcategories. The correct order of categories in increasing order of this improvement index is

technology, furniture, office supply

office supply, furniture, technology

office supply, technology, furniture

furniture, technology, office supply

Correct Answer

Option 4

Correct Answer

Explanation →

Q35:

CAT 2019 Slot 2

Data Interpretation > Bar Graphs

Medium

A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue an cost from the three departments for the years 2016, $2017$ and 2018. The dotted lines depict percentage levels. So for example, in 2016, $509$ of store's revenue came from its Electronics department while $40 \%$ of its costs were incurred in the Produce department. <img src="https://balti.aftergrad.in/questions/iB2apDf5huog3Bo" width="600px"/> In this setup, Profit is computed as (Revenue - Cost) and Percentage Profit as Profit/Cost $\times 100 \%$. It is known that 1. The percentage profit for the store in $2016$ was $100 \%$. 2. The store's revenue doubled from $2016$ to 2017, and its cost doubled from $2016$ to $2018$. 3. There was no profit from the Electronics department in $2017$. 4. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.

What was the percentage profit of the store in $2018$?

Entered answer:

Correct Answer

25

Correct Answer

Explanation →

Q36:

CAT 2019 Slot 2

Data Interpretation > Bar Graphs

Medium

A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue an cost from the three departments for the years 2016, $2017$ and 2018. The dotted lines depict percentage levels. So for example, in 2016, $509$ of store's revenue came from its Electronics department while $40 \%$ of its costs were incurred in the Produce department. <img src="https://balti.aftergrad.in/questions/iB2apDf5huog3Bo" width="600px"/> In this setup, Profit is computed as (Revenue - Cost) and Percentage Profit as Profit/Cost $\times 100 \%$. It is known that 1. The percentage profit for the store in $2016$ was $100 \%$. 2. The store's revenue doubled from $2016$ to 2017, and its cost doubled from $2016$ to $2018$. 3. There was no profit from the Electronics department in $2017$. 4. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.

What was the ratio of revenue generated from the Produce department in $2017$ to that in 2018?

4:3

9:16

8:5

16:9

Correct Answer

Option 3

Correct Answer

Explanation →

Q37:

CAT 2019 Slot 2

Data Interpretation > Bar Graphs

Medium

A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue an cost from the three departments for the years 2016, $2017$ and 2018. The dotted lines depict percentage levels. So for example, in 2016, $509$ of store's revenue came from its Electronics department while $40 \%$ of its costs were incurred in the Produce department. <img src="https://balti.aftergrad.in/questions/iB2apDf5huog3Bo" width="600px"/> In this setup, Profit is computed as (Revenue - Cost) and Percentage Profit as Profit/Cost $\times 100 \%$. It is known that 1. The percentage profit for the store in $2016$ was $100 \%$. 2. The store's revenue doubled from $2016$ to 2017, and its cost doubled from $2016$ to $2018$. 3. There was no profit from the Electronics department in $2017$. 4. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.

What percentage of the total profits for the store in $2016$ was from the Electronics department?

Entered answer:

Correct Answer

70

Correct Answer

Explanation →

Q38:

CAT 2019 Slot 2

Data Interpretation > Bar Graphs

Medium

A large store has only three departments, Clothing, Produce, and Electronics. The following figure shows the percentages of revenue an cost from the three departments for the years 2016, $2017$ and 2018. The dotted lines depict percentage levels. So for example, in 2016, $509$ of store's revenue came from its Electronics department while $40 \%$ of its costs were incurred in the Produce department. <img src="https://balti.aftergrad.in/questions/iB2apDf5huog3Bo" width="600px"/> In this setup, Profit is computed as (Revenue - Cost) and Percentage Profit as Profit/Cost $\times 100 \%$. It is known that 1. The percentage profit for the store in $2016$ was $100 \%$. 2. The store's revenue doubled from $2016$ to 2017, and its cost doubled from $2016$ to $2018$. 3. There was no profit from the Electronics department in $2017$. 4. In 2018, the revenue from the Clothing department was the same as the cost incurred in the Produce department.

What was the approximate difference in profit percentages of the store in 2017 and 2018?

8.3

15.5

25.0

33.3

Correct Answer

Option 1

Correct Answer

Explanation →