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Q1:

CAT

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 →

Q2:

CAT

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 →

Q3:

CAT

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 →

Q4:

CAT

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 →

Q5:

CAT

Logical Reasoning > Grids

Medium

<img src="https://balti.aftergrad.in/questions/ld8AksUcxLgW4hI" width="300px"/> $\newline$ <img src="https://balti.aftergrad.in/questions/eLBw9WSiTxqmsl3" width="300px"/> $\newline$ Three pouches (each represented by a filled circle) are kept in each of the nine slots in a $3 \times 3$ grid, as shown in the figure. Every pouch has a certain number of one-rupee coins. The minimum and maximum amounts of money (in rupees) among the three pouches in each of the nine slots are given in the table. For example, we know that among the three pouches kept in the second column of the first row, the minimum amount in a pouch is Rs. 6 and the maximum amount is Rs. 8. $$\newline$$ <p>There are nine pouches in any of the three columns, as well as in any of the three rows. It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. Hence the sum of nine pouches in any row or column should be a multiple of 9. It is also known that the total amount of money kept in the three pouches in the first column of the third row is Rs. 4.</p>

What is the total amount of money (in rupees) in the three pouches kept in the first column of the second row?

Entered answer:

Correct Answer

13

Correct Answer

Explanation →

Q6:

CAT

Logical Reasoning > Grids

Medium

<img src="https://balti.aftergrad.in/questions/ld8AksUcxLgW4hI" width="300px"/> $\newline$ <img src="https://balti.aftergrad.in/questions/eLBw9WSiTxqmsl3" width="300px"/> $\newline$ Three pouches (each represented by a filled circle) are kept in each of the nine slots in a $3 \times 3$ grid, as shown in the figure. Every pouch has a certain number of one-rupee coins. The minimum and maximum amounts of money (in rupees) among the three pouches in each of the nine slots are given in the table. For example, we know that among the three pouches kept in the second column of the first row, the minimum amount in a pouch is Rs. 6 and the maximum amount is Rs. 8. $$\newline$$ <p>There are nine pouches in any of the three columns, as well as in any of the three rows. It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. Hence the sum of nine pouches in any row or column should be a multiple of 9. It is also known that the total amount of money kept in the three pouches in the first column of the third row is Rs. 4.</p>

How many pouches contain exactly one coin?

Entered answer:

Correct Answer

8

Correct Answer

Explanation →

Q7:

CAT

Logical Reasoning > Grids

Medium

<img src="https://balti.aftergrad.in/questions/ld8AksUcxLgW4hI" width="300px"/> $\newline$ <img src="https://balti.aftergrad.in/questions/eLBw9WSiTxqmsl3" width="300px"/> $\newline$ Three pouches (each represented by a filled circle) are kept in each of the nine slots in a $3 \times 3$ grid, as shown in the figure. Every pouch has a certain number of one-rupee coins. The minimum and maximum amounts of money (in rupees) among the three pouches in each of the nine slots are given in the table. For example, we know that among the three pouches kept in the second column of the first row, the minimum amount in a pouch is Rs. 6 and the maximum amount is Rs. 8. $$\newline$$ <p>There are nine pouches in any of the three columns, as well as in any of the three rows. It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. Hence the sum of nine pouches in any row or column should be a multiple of 9. It is also known that the total amount of money kept in the three pouches in the first column of the third row is Rs. 4.</p>

What is the number of slots for which the average amount (in rupees) of its three pouches is an integer?

Entered answer:

Correct Answer

2

Correct Answer

Explanation →

Q8:

CAT

Logical Reasoning > Grids

Medium

<img src="https://balti.aftergrad.in/questions/ld8AksUcxLgW4hI" width="300px"/> $\newline$ <img src="https://balti.aftergrad.in/questions/eLBw9WSiTxqmsl3" width="300px"/> $\newline$ Three pouches (each represented by a filled circle) are kept in each of the nine slots in a $3 \times 3$ grid, as shown in the figure. Every pouch has a certain number of one-rupee coins. The minimum and maximum amounts of money (in rupees) among the three pouches in each of the nine slots are given in the table. For example, we know that among the three pouches kept in the second column of the first row, the minimum amount in a pouch is Rs. 6 and the maximum amount is Rs. 8. $$\newline$$ <p>There are nine pouches in any of the three columns, as well as in any of the three rows. It is known that the average amount of money (in rupees) kept in the nine pouches in any column or in any row is an integer. Hence the sum of nine pouches in any row or column should be a multiple of 9. It is also known that the total amount of money kept in the three pouches in the first column of the third row is Rs. 4.</p>

The number of slots for which the total amount in its three pouches strictly exceeds Rs. 10 is

Entered answer:

Correct Answer

3

Correct Answer

Explanation →

Q9:

CAT

Data Interpretation > Venn Diagrams

Medium

Students in a college are discussing two proposals - $$\newline$$ A: a proposal by the authorities to introduce dress code on campus, and $$\newline$$ B: a proposal by the students to allow multinational food franchises to set up outlets on college campus. $$\newline$$ A student does not necessarily support either of the two proposals. $\newline$ In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates. $$\newline$$ A survey was conducted among the students by picking a sample of $500$ students. The following information was noted from this survey. $$\newline$$ 1. $250$ students supported proposal A and $250$ students supported proposal B. $$\newline$$ 2. Among the $200$ students who preferred Sunita as student union president, $80 \%$ supported proposal A. $$\newline$$ 3. Among those who preferred Ragini, 30\% supported proposal A. $$\newline$$ 4. 20\% of those who supported proposal B preferred Sunita. $$\newline$$ 5. $40 \%$ of those who did not support proposal B preferred Ragini. $$\newline$$ 6. Every student who preferred Sunita and supported proposal B also supported proposal A. $$\newline$$ 7. Among those who preferred Ragini, 20\% did not support any of the proposals.

Among the students surveyed who supported proposal A, what percentage preferred Sunita for student union president?

Entered answer:

Correct Answer

64

Correct Answer

Explanation →

Q10:

CAT

Data Interpretation > Venn Diagrams

Medium

Students in a college are discussing two proposals - $$\newline$$ A: a proposal by the authorities to introduce dress code on campus, and $$\newline$$ B: a proposal by the students to allow multinational food franchises to set up outlets on college campus. $$\newline$$ A student does not necessarily support either of the two proposals. $\newline$ In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates. $$\newline$$ A survey was conducted among the students by picking a sample of $500$ students. The following information was noted from this survey. $$\newline$$ 1. $250$ students supported proposal A and $250$ students supported proposal B. $$\newline$$ 2. Among the $200$ students who preferred Sunita as student union president, $80 \%$ supported proposal A. $$\newline$$ 3. Among those who preferred Ragini, 30\% supported proposal A. $$\newline$$ 4. 20\% of those who supported proposal B preferred Sunita. $$\newline$$ 5. $40 \%$ of those who did not support proposal B preferred Ragini. $$\newline$$ 6. Every student who preferred Sunita and supported proposal B also supported proposal A. $$\newline$$ 7. Among those who preferred Ragini, 20\% did not support any of the proposals.

What percentage of the students surveyed who did not support proposal A preferred Ragini as student union president?

Entered answer:

Correct Answer

84

Correct Answer

Explanation →

Q11:

CAT

Data Interpretation > Venn Diagrams

Medium

Students in a college are discussing two proposals - $$\newline$$ A: a proposal by the authorities to introduce dress code on campus, and $$\newline$$ B: a proposal by the students to allow multinational food franchises to set up outlets on college campus. $$\newline$$ A student does not necessarily support either of the two proposals. $\newline$ In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates. $$\newline$$ A survey was conducted among the students by picking a sample of $500$ students. The following information was noted from this survey. $$\newline$$ 1. $250$ students supported proposal A and $250$ students supported proposal B. $$\newline$$ 2. Among the $200$ students who preferred Sunita as student union president, $80 \%$ supported proposal A. $$\newline$$ 3. Among those who preferred Ragini, 30\% supported proposal A. $$\newline$$ 4. 20\% of those who supported proposal B preferred Sunita. $$\newline$$ 5. $40 \%$ of those who did not support proposal B preferred Ragini. $$\newline$$ 6. Every student who preferred Sunita and supported proposal B also supported proposal A. $$\newline$$ 7. Among those who preferred Ragini, 20\% did not support any of the proposals.

What percentage of the students surveyed who supported both proposals A and B preferred Sunita for student union president?

25

50

20

40

Correct Answer

Option 2

Correct Answer

Explanation →

Q12:

CAT

Data Interpretation > Venn Diagrams

Medium

Students in a college are discussing two proposals - $$\newline$$ A: a proposal by the authorities to introduce dress code on campus, and $$\newline$$ B: a proposal by the students to allow multinational food franchises to set up outlets on college campus. $$\newline$$ A student does not necessarily support either of the two proposals. $\newline$ In an upcoming election for student union president, there are two candidates in fray: Sunita and Ragini. Every student prefers one of the two candidates. $$\newline$$ A survey was conducted among the students by picking a sample of $500$ students. The following information was noted from this survey. $$\newline$$ 1. $250$ students supported proposal A and $250$ students supported proposal B. $$\newline$$ 2. Among the $200$ students who preferred Sunita as student union president, $80 \%$ supported proposal A. $$\newline$$ 3. Among those who preferred Ragini, 30\% supported proposal A. $$\newline$$ 4. 20\% of those who supported proposal B preferred Sunita. $$\newline$$ 5. $40 \%$ of those who did not support proposal B preferred Ragini. $$\newline$$ 6. Every student who preferred Sunita and supported proposal B also supported proposal A. $$\newline$$ 7. Among those who preferred Ragini, 20\% did not support any of the proposals.

How many of the students surveyed who supported proposal B, did not support proposal A and preferred Ragini as student union president?

150

210

200

40

Correct Answer

Option 1

Correct Answer

Explanation →

Q13:

CAT

Logical Reasoning > Arrangements

Medium

In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English.<br> <br> | | Arabic | Basque | Chinese | Dutch | English | French | |---------|--------|--------|---------|-------|---------|--------| | Paula | | | ✓ | | ✓ | | | Quentin | | | | ✓ | ✓ | | | Robert | ✓ | | | | | ✓ | | Sally | | ✓ | | | ✓ | | | Terence | | | ✓ | | | ✓ | <br> These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a particular language if at least one of its members speak that language.<br> <br> The following facts are known.<br> <ol> <li>Each team speaks exactly four languages and has the same number of members.</li> <li>English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team.</li> <li>None of the teams include both Quentin and Robert.</li> <li>Paula and Sally are together in exactly two teams.</li> <li>Robert is in Team 1 and Quentin is in Team 3.</li> </ol>

Who among the following four is not a member of Team 2?

Sally

Terence

Paula

Quentin

Correct Answer

Option 4

Correct Answer

Explanation →

Q14:

CAT

Logical Reasoning > Arrangements

Medium

In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English.<br> <br> | | Arabic | Basque | Chinese | Dutch | English | French | |---------|--------|--------|---------|-------|---------|--------| | Paula | | | ✓ | | ✓ | | | Quentin | | | | ✓ | ✓ | | | Robert | ✓ | | | | | ✓ | | Sally | | ✓ | | | ✓ | | | Terence | | | ✓ | | | ✓ | <br> These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a particular language if at least one of its members speak that language.<br> <br> The following facts are known.<br> <ol> <li>Each team speaks exactly four languages and has the same number of members.</li> <li>English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team.</li> <li>None of the teams include both Quentin and Robert.</li> <li>Paula and Sally are together in exactly two teams.</li> <li>Robert is in Team 1 and Quentin is in Team 3.</li> </ol>

Who among the following four people is a part of exactly two teams?

Quentin

Robert

Paula

Sally

Correct Answer

Option 4

Correct Answer

Explanation →

Q15:

CAT

Logical Reasoning > Arrangements

Medium

In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English.<br> <br> | | Arabic | Basque | Chinese | Dutch | English | French | |---------|--------|--------|---------|-------|---------|--------| | Paula | | | ✓ | | ✓ | | | Quentin | | | | ✓ | ✓ | | | Robert | ✓ | | | | | ✓ | | Sally | | ✓ | | | ✓ | | | Terence | | | ✓ | | | ✓ | <br> These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a particular language if at least one of its members speak that language.<br> <br> The following facts are known.<br> <ol> <li>Each team speaks exactly four languages and has the same number of members.</li> <li>English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team.</li> <li>None of the teams include both Quentin and Robert.</li> <li>Paula and Sally are together in exactly two teams.</li> <li>Robert is in Team 1 and Quentin is in Team 3.</li> </ol>

Who among the five people is a member of all teams?

Paula

No one

Sally

Terence

Correct Answer

Option 1

Correct Answer

Explanation →

Q16:

CAT

Logical Reasoning > Arrangements

Medium

In the table below the check marks indicate all languages spoken by five people: Paula, Quentin, Robert, Sally and Terence. For example, Paula speaks only Chinese and English.<br> <br> | | Arabic | Basque | Chinese | Dutch | English | French | |---------|--------|--------|---------|-------|---------|--------| | Paula | | | ✓ | | ✓ | | | Quentin | | | | ✓ | ✓ | | | Robert | ✓ | | | | | ✓ | | Sally | | ✓ | | | ✓ | | | Terence | | | ✓ | | | ✓ | <br> These five people form three teams, Team 1, Team 2 and Team 3. Each team has either 2 or 3 members. A team is said to speak a particular language if at least one of its members speak that language.<br> <br> The following facts are known.<br> <ol> <li>Each team speaks exactly four languages and has the same number of members.</li> <li>English and Chinese are spoken by all three teams, Basque and French by exactly two teams and the other languages by exactly one team.</li> <li>None of the teams include both Quentin and Robert.</li> <li>Paula and Sally are together in exactly two teams.</li> <li>Robert is in Team 1 and Quentin is in Team 3.</li> </ol>

Apart from Chinese and English, which languages are spoken by Team 1?

Basque and Dutch

Arabic and French

Basque and French

Arabic and Basque

Correct Answer

Option 2

Correct Answer

Explanation →

Q17:

CAT

Logical Reasoning > Optimization

Medium

Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for 10 minutes and charges Rs. 100/-. Dr. Kane sees each patient for 15 minutes and charges Rs. 200/-, while Dr. Wayne sees each patient for 25 minutes and charges Rs. 300/-. $$\newline$$ <p>The clinic has three rooms numbered 1, 2 and 3 which are assigned to the three doctors as per the following table. $$\newline$$ </p><table class="question-table"><thead><tr><th>Room No.</th><th>Monday & Tuesday</th><th>Wednesday & Thursday</th><th>Friday & Saturday</th></tr></thead><tbody><tr><td>1</td><td>Ben</td><td>Wayne</td><td>Wayne</td></tr><tr><td>2</td><td>Kane</td><td>Ben</td><td>Ben</td></tr><tr><td>3</td><td>Wayne</td><td>Kane</td><td>Kane</td></tr></tbody></table><p>The clinic is open from 9 a.m. to 11.30 a.m. every Monday to Saturday.</p><p>On arrival each patient is handed a numbered token indicating their position in the queue, starting with token number 1 every day. As soon as any doctor becomes free, the next patient in the queue enters that emptied room for consultation. If at any time, more than one room is free then the waiting patient enters the room with the smallest number. For example, if the next two patients in the queue have token numbers 7 and 8 and if rooms numbered 1 and 3 are free, then patient with token number 7 enters room number 1 and patient with token number 8 enters room number 3.</p>

What is the maximum number of patients that the clinic can cater to on any single day?

30

12

15

31

Correct Answer

Option 4

Correct Answer

Explanation →

Q18:

CAT

Logical Reasoning > Optimization

Medium

Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for 10 minutes and charges Rs. 100/-. Dr. Kane sees each patient for 15 minutes and charges Rs. 200/-, while Dr. Wayne sees each patient for 25 minutes and charges Rs. 300/-. $$\newline$$ <p>The clinic has three rooms numbered 1, 2 and 3 which are assigned to the three doctors as per the following table. $$\newline$$ </p><table class="question-table"><thead><tr><th>Room No.</th><th>Monday & Tuesday</th><th>Wednesday & Thursday</th><th>Friday & Saturday</th></tr></thead><tbody><tr><td>1</td><td>Ben</td><td>Wayne</td><td>Wayne</td></tr><tr><td>2</td><td>Kane</td><td>Ben</td><td>Ben</td></tr><tr><td>3</td><td>Wayne</td><td>Kane</td><td>Kane</td></tr></tbody></table><p>The clinic is open from 9 a.m. to 11.30 a.m. every Monday to Saturday.</p><p>On arrival each patient is handed a numbered token indicating their position in the queue, starting with token number 1 every day. As soon as any doctor becomes free, the next patient in the queue enters that emptied room for consultation. If at any time, more than one room is free then the waiting patient enters the room with the smallest number. For example, if the next two patients in the queue have token numbers 7 and 8 and if rooms numbered 1 and 3 are free, then patient with token number 7 enters room number 1 and patient with token number 8 enters room number 3.</p>

The queue is never empty on one particular Saturday. Which of the three doctors would earn the maximum amount in consultation charges on that day?

Dr. Ben

Dr. Wayne

Both Dr. Wayne and Dr. Kane

Dr. Kane

Correct Answer

Option 4

Correct Answer

Explanation →

Q19:

CAT

Logical Reasoning > Optimization

Medium

Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for 10 minutes and charges Rs. 100/-. Dr. Kane sees each patient for 15 minutes and charges Rs. 200/-, while Dr. Wayne sees each patient for 25 minutes and charges Rs. 300/-. $$\newline$$ <p>The clinic has three rooms numbered 1, 2 and 3 which are assigned to the three doctors as per the following table. $$\newline$$ </p><table class="question-table"><thead><tr><th>Room No.</th><th>Monday & Tuesday</th><th>Wednesday & Thursday</th><th>Friday & Saturday</th></tr></thead><tbody><tr><td>1</td><td>Ben</td><td>Wayne</td><td>Wayne</td></tr><tr><td>2</td><td>Kane</td><td>Ben</td><td>Ben</td></tr><tr><td>3</td><td>Wayne</td><td>Kane</td><td>Kane</td></tr></tbody></table><p>The clinic is open from 9 a.m. to 11.30 a.m. every Monday to Saturday.</p><p>On arrival each patient is handed a numbered token indicating their position in the queue, starting with token number 1 every day. As soon as any doctor becomes free, the next patient in the queue enters that emptied room for consultation. If at any time, more than one room is free then the waiting patient enters the room with the smallest number. For example, if the next two patients in the queue have token numbers 7 and 8 and if rooms numbered 1 and 3 are free, then patient with token number 7 enters room number 1 and patient with token number 8 enters room number 3.</p>

Mr. Singh visited the clinic on Monday, Wednesday, and Friday of a particular week, arriving at 8:50 a.m. on each of the three days. His token number was 13 on all three days. On which day was he at the clinic for the maximum duration?

Monday

Wednesday

Same duration on all three days

Friday

Correct Answer

Option 1

Correct Answer

Explanation →

Q20:

CAT

Logical Reasoning > Optimization

Medium

Three doctors, Dr. Ben, Dr. Kane and Dr. Wayne visit a particular clinic Monday to Saturday to see patients. Dr. Ben sees each patient for 10 minutes and charges Rs. 100/-. Dr. Kane sees each patient for 15 minutes and charges Rs. 200/-, while Dr. Wayne sees each patient for 25 minutes and charges Rs. 300/-. $$\newline$$ <p>The clinic has three rooms numbered 1, 2 and 3 which are assigned to the three doctors as per the following table. $$\newline$$ </p><table class="question-table"><thead><tr><th>Room No.</th><th>Monday & Tuesday</th><th>Wednesday & Thursday</th><th>Friday & Saturday</th></tr></thead><tbody><tr><td>1</td><td>Ben</td><td>Wayne</td><td>Wayne</td></tr><tr><td>2</td><td>Kane</td><td>Ben</td><td>Ben</td></tr><tr><td>3</td><td>Wayne</td><td>Kane</td><td>Kane</td></tr></tbody></table><p>The clinic is open from 9 a.m. to 11.30 a.m. every Monday to Saturday.</p><p>On arrival each patient is handed a numbered token indicating their position in the queue, starting with token number 1 every day. As soon as any doctor becomes free, the next patient in the queue enters that emptied room for consultation. If at any time, more than one room is free then the waiting patient enters the room with the smallest number. For example, if the next two patients in the queue have token numbers 7 and 8 and if rooms numbered 1 and 3 are free, then patient with token number 7 enters room number 1 and patient with token number 8 enters room number 3.</p>

On a slow Thursday, only two patients are waiting at $9$ a.m. After that two patients keep arriving at exact $15$ minute intervals starting at $9:15$ a.m. -- i.e. at $9:15$ a.m., $9:30$ a.m., $9:45$ a.m. etc. Then the total duration in minutes when all three doctors are simultaneously free is

0

15

10

30

Correct Answer

Option 1

Correct Answer

Explanation →

Q21:

CAT

Data Interpretation > Scatter Plot

Easy

To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the $16$ states. The figure given below shows the actual rainfall (measured in mm) during JuneAugust, $2019$ and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure. <img src="https://balti.aftergrad.in/questions/EP4U8P4vSk6rVqg" width="500px"/>

If a 'Heavy Monsoon State' is defined as a state with actual rainfall from June-August, 2019 of $900$ mm or more, then approximately what percentage of 'Heavy Monsoon States' have a negative deviation from respective LPAs in 2019?

$57.14$

$14.29$

$75.00$

$42.86$

Correct Answer

Option 4

Correct Answer

Explanation →

Q22:

CAT

Data Interpretation > Scatter Plot

Easy

To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the $16$ states. The figure given below shows the actual rainfall (measured in mm) during JuneAugust, $2019$ and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure. <img src="https://balti.aftergrad.in/questions/EP4U8P4vSk6rVqg" width="500px"/>

If a 'Low Monsoon State' is defined as a state with actual rainfall from June-August, $2019$ of $750 \mathrm{~mm}$ or less, then what is the median 'deviation from LPA' (as defined in the Y-axis of the figure) of 'Low Monsoon States'?

-30%

-20%

10%

-10%

Correct Answer

Option 4

Correct Answer

Explanation →

Q23:

CAT

Data Interpretation > Scatter Plot

Easy

To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the $16$ states. The figure given below shows the actual rainfall (measured in mm) during JuneAugust, $2019$ and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure. <img src="https://balti.aftergrad.in/questions/EP4U8P4vSk6rVqg" width="500px"/>

What is the average rainfall of all states that have actual rainfall of $600 \mathrm{~mm}$ or less in $2019$ and have a negative deviation from LPA?

500 mm

460 mm

367 mm

450 mm

Correct Answer

Option 2

Correct Answer

Explanation →

Q24:

CAT

Data Interpretation > Scatter Plot

Easy

To compare the rainfall data, India Meteorological Department (IMD) calculated the Long Period Average (LPA) of rainfall during period June-August for each of the $16$ states. The figure given below shows the actual rainfall (measured in mm) during JuneAugust, $2019$ and the percentage deviations from LPA of respective states in 2018. Each state along with its actual rainfall is presented in the figure. <img src="https://balti.aftergrad.in/questions/EP4U8P4vSk6rVqg" width="500px"/>

The LPA of a state for a year is defined as the average rainfall in the preceding $10$ years considering the period of June-August. For example, LPA in $2018$ is the average rainfall during 2009-2018 and LPA in $2019$ is the average rainfall during 2010-2019. It is also observed that the actual rainfall in Gujarat in $2019$ is 20\% more than the rainfall in 2009. The LPA of Gujarat in $2019$ is closest to

490 mm

505 mm

525 mm

475 mm

Correct Answer

Option 1

Correct Answer

Explanation →

Q25:

CAT

Logical Reasoning > Arrangements

Hard

The first year students in a business school are split into six sections. In $2019$ the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common endterm (ET) worth $100$ marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions. $$\newline$$ Each of MT and ET had at least four questions that were worth $5$ marks, at least three questions that were worth $10$ marks, and at least two questions that were worth $15$ marks. In both MT and ET, all the $5$-mark questions preceded the $10$-mark questions, and all the $15$ - mark questions followed the $10$-mark questions. $$\newline$$ The following additional facts are known. $$\newline$$ i. Annie prepared the fifth question for both MT and ET. For MT, this question carried $5$ marks. $$\newline$$ ii. Annie prepared one question for MT. Every other faculty member prepared more than one questions for MT. $$\newline$$ iii. All questions prepared by a faculty member appeared consecutively in MT as well as ET. $$\newline$$ iv. Chetan prepared the third question in both MT and ET; and Esha prepared the eighth question in both. $$\newline$$ v. Fakir prepared the first question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET.

The second question in ET was prepared by:

Chetan

Beti

Dave

Esha

Correct Answer

Option 3

Correct Answer

Explanation →

Q26:

CAT

Logical Reasoning > Arrangements

Hard

The first year students in a business school are split into six sections. In $2019$ the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common endterm (ET) worth $100$ marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions. $$\newline$$ Each of MT and ET had at least four questions that were worth $5$ marks, at least three questions that were worth $10$ marks, and at least two questions that were worth $15$ marks. In both MT and ET, all the $5$-mark questions preceded the $10$-mark questions, and all the $15$ - mark questions followed the $10$-mark questions. $$\newline$$ The following additional facts are known. $$\newline$$ i. Annie prepared the fifth question for both MT and ET. For MT, this question carried $5$ marks. $$\newline$$ ii. Annie prepared one question for MT. Every other faculty member prepared more than one questions for MT. $$\newline$$ iii. All questions prepared by a faculty member appeared consecutively in MT as well as ET. $$\newline$$ iv. Chetan prepared the third question in both MT and ET; and Esha prepared the eighth question in both. $$\newline$$ v. Fakir prepared the first question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET.

How many 5-mark questions were there in MT and ET combined?

13

10

cannot be determined

12

Correct Answer

Option 1

Correct Answer

Explanation →

Q27:

CAT

Logical Reasoning > Arrangements

Hard

The first year students in a business school are split into six sections. In $2019$ the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common endterm (ET) worth $100$ marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions. $$\newline$$ Each of MT and ET had at least four questions that were worth $5$ marks, at least three questions that were worth $10$ marks, and at least two questions that were worth $15$ marks. In both MT and ET, all the $5$-mark questions preceded the $10$-mark questions, and all the $15$ - mark questions followed the $10$-mark questions. $$\newline$$ The following additional facts are known. $$\newline$$ i. Annie prepared the fifth question for both MT and ET. For MT, this question carried $5$ marks. $$\newline$$ ii. Annie prepared one question for MT. Every other faculty member prepared more than one questions for MT. $$\newline$$ iii. All questions prepared by a faculty member appeared consecutively in MT as well as ET. $$\newline$$ iv. Chetan prepared the third question in both MT and ET; and Esha prepared the eighth question in both. $$\newline$$ v. Fakir prepared the first question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET.

Who prepared 15-mark questions for MT and ET?

Only Beti, Dave, Esha and Fakir

Only Esha and Fakir

Only Dave, Esha and Fakir

Only Dave and Fakir

Correct Answer

Option 3

Correct Answer

Explanation →

Q28:

CAT

Logical Reasoning > Arrangements

Hard

The first year students in a business school are split into six sections. In $2019$ the Business Statistics course was taught in these six sections by Annie, Beti, Chetan, Dave, Esha, and Fakir. All six sections had a common midterm (MT) and a common endterm (ET) worth $100$ marks each. ET contained more questions than MT. Questions for MT and ET were prepared collectively by the six faculty members. Considering MT and ET together, each faculty member prepared the same number of questions. $$\newline$$ Each of MT and ET had at least four questions that were worth $5$ marks, at least three questions that were worth $10$ marks, and at least two questions that were worth $15$ marks. In both MT and ET, all the $5$-mark questions preceded the $10$-mark questions, and all the $15$ - mark questions followed the $10$-mark questions. $$\newline$$ The following additional facts are known. $$\newline$$ i. Annie prepared the fifth question for both MT and ET. For MT, this question carried $5$ marks. $$\newline$$ ii. Annie prepared one question for MT. Every other faculty member prepared more than one questions for MT. $$\newline$$ iii. All questions prepared by a faculty member appeared consecutively in MT as well as ET. $$\newline$$ iv. Chetan prepared the third question in both MT and ET; and Esha prepared the eighth question in both. $$\newline$$ v. Fakir prepared the first question of MT and the last one in ET. Dave prepared the last question of MT and the first one in ET.

Which of the following questions did Beti prepare in ET?

Fourth question

Seventh question

Tenth question

Ninth question

Correct Answer

Option 3

Correct Answer

Explanation →

Q29:

CAT

Logical Reasoning > Games & Tournaments

Hard

Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. $$\newline$$ The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10. $$\newline$$ <table class="question-table"><thead><tr><th>Player No.</th><th>Player Name</th><th>Points after Round 6</th><th>Points after Round 10</th></tr></thead><tbody><tr><td>1</td><td>Amita</td><td>8</td><td>18</td></tr><tr><td>2</td><td>Bala</td><td>2</td><td>5</td></tr><tr><td>3</td><td>Chen</td><td>3</td><td>6</td></tr><tr><td>4</td><td>David</td><td>6</td><td>6</td></tr><tr><td>5</td><td>Eric</td><td>3</td><td>10</td></tr><tr><td>6</td><td>Fatima</td><td>10</td><td>10</td></tr><tr><td>7</td><td>Gordon</td><td>17</td><td>17</td></tr><tr><td>8</td><td>Hansa</td><td>1</td><td>4</td></tr><tr><td>9</td><td>Ikea</td><td>2</td><td>17</td></tr><tr><td>10</td><td>Joshin</td><td>14</td><td>17</td></tr></tbody></table> $$\newline$$ The following information is known about Rounds 1 through 6: $$\newline$$ <ol><li>Gordon did not score consecutively in any two rounds.</li> $$\newline$$ <li>Eric and Fatima both scored in a round.</li></ol> $$\newline$$ The following information is known about Rounds 7 through 10: $$\newline$$ <ol><li>Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.</li> $$\newline$$ <li>Joshin scored in Round 7, while Amita scored in Round 10.</li> $$\newline$$ <li>No player scored in all the four rounds.</li></ol>

What were the scores of Chen, David, and Eric respectively after Round 3?

3, 6, 3

3, 0, 3

3, 3, 3

3, 3, 0

Correct Answer

Option 3

Correct Answer

Explanation →

Q30:

CAT

Logical Reasoning > Games & Tournaments

Hard

Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. $$\newline$$ The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10. $$\newline$$ <table class="question-table"><thead><tr><th>Player No.</th><th>Player Name</th><th>Points after Round 6</th><th>Points after Round 10</th></tr></thead><tbody><tr><td>1</td><td>Amita</td><td>8</td><td>18</td></tr><tr><td>2</td><td>Bala</td><td>2</td><td>5</td></tr><tr><td>3</td><td>Chen</td><td>3</td><td>6</td></tr><tr><td>4</td><td>David</td><td>6</td><td>6</td></tr><tr><td>5</td><td>Eric</td><td>3</td><td>10</td></tr><tr><td>6</td><td>Fatima</td><td>10</td><td>10</td></tr><tr><td>7</td><td>Gordon</td><td>17</td><td>17</td></tr><tr><td>8</td><td>Hansa</td><td>1</td><td>4</td></tr><tr><td>9</td><td>Ikea</td><td>2</td><td>17</td></tr><tr><td>10</td><td>Joshin</td><td>14</td><td>17</td></tr></tbody></table> $$\newline$$ The following information is known about Rounds 1 through 6: $$\newline$$ <ol><li>Gordon did not score consecutively in any two rounds.</li> $$\newline$$ <li>Eric and Fatima both scored in a round.</li></ol> $$\newline$$ The following information is known about Rounds 7 through 10: $$\newline$$ <ol><li>Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.</li> $$\newline$$ <li>Joshin scored in Round 7, while Amita scored in Round 10.</li> $$\newline$$ <li>No player scored in all the four rounds.</li></ol>

Which three players were in the last three positions after Round 4?

Bala, Ikea, Joshin

Bala, Hansa, Ikea

Hansa, Ikea, Joshin

Bala, Chen, Gordon

Correct Answer

Option 3

Correct Answer

Explanation →

Q31:

CAT

Logical Reasoning > Games & Tournaments

Hard

Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. $$\newline$$ The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10. $$\newline$$ <table class="question-table"><thead><tr><th>Player No.</th><th>Player Name</th><th>Points after Round 6</th><th>Points after Round 10</th></tr></thead><tbody><tr><td>1</td><td>Amita</td><td>8</td><td>18</td></tr><tr><td>2</td><td>Bala</td><td>2</td><td>5</td></tr><tr><td>3</td><td>Chen</td><td>3</td><td>6</td></tr><tr><td>4</td><td>David</td><td>6</td><td>6</td></tr><tr><td>5</td><td>Eric</td><td>3</td><td>10</td></tr><tr><td>6</td><td>Fatima</td><td>10</td><td>10</td></tr><tr><td>7</td><td>Gordon</td><td>17</td><td>17</td></tr><tr><td>8</td><td>Hansa</td><td>1</td><td>4</td></tr><tr><td>9</td><td>Ikea</td><td>2</td><td>17</td></tr><tr><td>10</td><td>Joshin</td><td>14</td><td>17</td></tr></tbody></table> $$\newline$$ The following information is known about Rounds 1 through 6: $$\newline$$ <ol><li>Gordon did not score consecutively in any two rounds.</li> $$\newline$$ <li>Eric and Fatima both scored in a round.</li></ol> $$\newline$$ The following information is known about Rounds 7 through 10: $$\newline$$ <ol><li>Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.</li> $$\newline$$ <li>Joshin scored in Round 7, while Amita scored in Round 10.</li> $$\newline$$ <li>No player scored in all the four rounds.</li></ol>

Which player scored points in maximum number of rounds?

Ikea

Joshin

Chen

Amita

Correct Answer

Option 1

Correct Answer

Explanation →

Q32:

CAT

Logical Reasoning > Games & Tournaments

Hard

Ten players, as listed in the table below, participated in a rifle shooting competition comprising of 10 rounds. Each round had 6 participants. Players numbered 1 through 6 participated in Round 1, players 2 through 7 in Round 2,..., players 5 through 10 in Round 5, players 6 through 10 and 1 in Round 6, players 7 through 10, 1 and 2 in Round 7 and so on. $$\newline$$ The top three performances in each round were awarded 7, 3 and 1 points respectively. There were no ties in any of the 10 rounds. The table below gives the total number of points obtained by the 10 players after Round 6 and Round 10. $$\newline$$ <table class="question-table"><thead><tr><th>Player No.</th><th>Player Name</th><th>Points after Round 6</th><th>Points after Round 10</th></tr></thead><tbody><tr><td>1</td><td>Amita</td><td>8</td><td>18</td></tr><tr><td>2</td><td>Bala</td><td>2</td><td>5</td></tr><tr><td>3</td><td>Chen</td><td>3</td><td>6</td></tr><tr><td>4</td><td>David</td><td>6</td><td>6</td></tr><tr><td>5</td><td>Eric</td><td>3</td><td>10</td></tr><tr><td>6</td><td>Fatima</td><td>10</td><td>10</td></tr><tr><td>7</td><td>Gordon</td><td>17</td><td>17</td></tr><tr><td>8</td><td>Hansa</td><td>1</td><td>4</td></tr><tr><td>9</td><td>Ikea</td><td>2</td><td>17</td></tr><tr><td>10</td><td>Joshin</td><td>14</td><td>17</td></tr></tbody></table> $$\newline$$ The following information is known about Rounds 1 through 6: $$\newline$$ <ol><li>Gordon did not score consecutively in any two rounds.</li> $$\newline$$ <li>Eric and Fatima both scored in a round.</li></ol> $$\newline$$ The following information is known about Rounds 7 through 10: $$\newline$$ <ol><li>Only two players scored in three consecutive rounds. One of them was Chen. No other player scored in any two consecutive rounds.</li> $$\newline$$ <li>Joshin scored in Round 7, while Amita scored in Round 10.</li> $$\newline$$ <li>No player scored in all the four rounds.</li></ol>

Which players scored points in the last round?

Amita, Chen, Eric

Amita, Chen, David

Amita, Bala, Chen

Amita, Eric, Joshin

Correct Answer

Option 1

Correct Answer

Explanation →

CAT DILR - Past Year Questions

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