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CAT 2023 Slot 1 - DILR

Previous Year Questions with Detailed Solutions

20 Questions CAT Free Access

Practice CAT 2023 Slot 1 - DILR previous year questions with step-by-step solutions from the CAT exam. Every question includes the correct answer and a full worked explanation — no need to leave the page.

Q1

CAT 2023 Slot 1 - DILR

Directions for Qs. 1 – 5: Refer to the following information and answer the following questions.

Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.
Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.
Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.
1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.
After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.

Which two candidates can belong to the same department ?

A

Prof. Pakrasi and Prof. Samuel

B

Prof. Pakrasi and Prof. Qureshi

C

Prof. Qureshi and Prof. Ramaswamy

D

Prof. Ramaswamy and Prof. Samuel

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Marking Scheme
Correct Answer

Prof. Pakrasi and Prof. Qureshi

1. F&A = 9 members; M&S = 7 members; O&Q = 5 members; B&H = 3 members
2. Only one of the candidates was from O&Q.
3. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate.
4. There cannot be more than two candidates from a single department.
5. A candidate cannot vote for himself/herself.
6. Faculty members cannot vote for a candidate from their own department.
7. Prof. P = 3 votes, Prof. Q = 14 votes, Prof. R = 6 votes and Prof. S = 1.
8. P voted for R, Q voted for S; R voted for Q and S voted for P.
Each professor got one professor vote.

1. Only one of the candidates was from O&Q.
2. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate.
3. There cannot be more than two candidates from a single department. 
4. Faculty members cannot vote for a candidate from their own department. 
5. P voted for R, Q voted for S; R voted for Q and S voted for P.

Q2

CAT 2023 Slot 1 - DILR

Directions for Qs. 1 – 5: Refer to the following information and answer the following questions.

Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.
Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.
Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.
1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.
After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.

Which of the following can be the number of votes that Prof. Qureshi received from a single department ?

A

8

B

7

C

9

D

6

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Marking Scheme
Correct Answer

9

1. F&A = 9 members; M&S = 7 members; O&Q = 5 members; B&H = 3 members
2. Only one of the candidates was from O&Q.
3. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate.
4. There cannot be more than two candidates from a single department.
5. A candidate cannot vote for himself/herself.
6. Faculty members cannot vote for a candidate from their own department.
7. Prof. P = 3 votes, Prof. Q = 14 votes, Prof. R = 6 votes and Prof. S = 1.
8. P voted for R, Q voted for S; R voted for Q and S voted for P.
Each professor got one professor vote.

1. Only one of the candidates was from O&Q.
2. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate.
3. There cannot be more than two candidates from a single department. 
4. Faculty members cannot vote for a candidate from their own department. 
5. P voted for R, Q voted for S; R voted for Q and S voted for P.

Q3

CAT 2023 Slot 1 - DILR

Directions for Qs. 1 – 5: Refer to the following information and answer the following questions.

Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.
Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.
Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.
1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.
After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.

If Prof. Samuel belongs to B&H, which of the following statements is/are true ?
Statement A: Prof. Pakrasi belongs to M&S.
Statement B: Prof. Ramaswamy belongs to O&Q.

A

Both statements A and B

B

Only statement B

C

Only statement A

D

Neither statement A nor statement B

Free Resources
Marking Scheme
Correct Answer

Both statements A and B

1. F&A = 9 members; M&S = 7 members; O&Q = 5 members; B&H = 3 members
2. Only one of the candidates was from O&Q.
3. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate.
4. There cannot be more than two candidates from a single department.
5. A candidate cannot vote for himself/herself.
6. Faculty members cannot vote for a candidate from their own department.
7. Prof. P = 3 votes, Prof. Q = 14 votes, Prof. R = 6 votes and Prof. S = 1.
8. P voted for R, Q voted for S; R voted for Q and S voted for P.
Each professor got one professor vote.

1. Only one of the candidates was from O&Q.
2. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate.
3. There cannot be more than two candidates from a single department. 
4. Faculty members cannot vote for a candidate from their own department. 
5. P voted for R, Q voted for S; R voted for Q and S voted for P.

Q4

CAT 2023 Slot 1 - DILR

Directions for Qs. 1 – 5: Refer to the following information and answer the following questions.

Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.
Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.
Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.
1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.
After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.

What best can be concluded about the candidate from O&Q ?

A

It was either Prof. Pakrasi or Prof. Qureshi

B

It was Prof. Samuel

C

It was Prof. Ramaswamy

D

It was either Prof. Ramaswamy or Prof. Samuel

Free Resources
Marking Scheme
Correct Answer

It was either Prof. Ramaswamy or Prof. Samuel

1. F&A = 9 members; M&S = 7 members; O&Q = 5 members; B&H = 3 members
2. Only one of the candidates was from O&Q.
3. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate.
4. There cannot be more than two candidates from a single department.
5. A candidate cannot vote for himself/herself.
6. Faculty members cannot vote for a candidate from their own department.
7. Prof. P = 3 votes, Prof. Q = 14 votes, Prof. R = 6 votes and Prof. S = 1.
8. P voted for R, Q voted for S; R voted for Q and S voted for P.
Each professor got one professor vote.

1. Only one of the candidates was from O&Q.
2. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate.
3. There cannot be more than two candidates from a single department. 
4. Faculty members cannot vote for a candidate from their own department.
5. P voted for R, Q voted for S; R voted for Q and S voted for P.

Q5

CAT 2023 Slot 1 - DILR

Directions for Qs. 1 – 5: Refer to the following information and answer the following questions.

Faculty members in a management school can belong to one of four departments – Finance and Accounting (F&A), Marketing and Strategy (M&S), Operations and Quants (O&Q) and Behaviour and Human Resources (B&H). The numbers of faculty members in F&A, M&S, O&Q and B&H departments are 9, 7, 5 and 3 respectively.
Prof. Pakrasi, Prof. Qureshi, Prof. Ramaswamy and Prof. Samuel are four members of the school's faculty who were candidates for the post of the Dean of the school. Only one of the candidates was from O&Q.
Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate. The rules for the election are listed below.
1. There cannot be more than two candidates from a single department.
2. A candidate cannot vote for himself/herself.
3. Faculty members cannot vote for a candidate from their own department.
After the election, it was observed that Prof. Pakrasi received 3 votes, Prof. Qureshi received 14 votes, Prof. Ramaswamy received 6 votes and Prof. Samuel received 1 vote. Prof. Pakrasi voted for Prof. Ramaswamy, Prof. Qureshi for Prof. Samuel, Prof. Ramaswamy for Prof. Qureshi and Prof. Samuel for Prof. Pakrasi.

Which of the following statements is/are true ?
Statement A: Non-candidates from M&S voted for Prof. Qureshi.
Statement B: Non-candidates from F&A voted for Prof. Qureshi.

A

Only statement B

B

Only statement A

C

Both statements A and B

D

Neither statement A nor statement B

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Marking Scheme
Correct Answer

Only statement B

1. F&A = 9 members; M&S = 7 members; O&Q = 5 members; B&H = 3 members
2. Only one of the candidates was from O&Q.
3. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate.
4. There cannot be more than two candidates from a single department.
5. A candidate cannot vote for himself/herself.
6. Faculty members cannot vote for a candidate from their own department.
7. Prof. P = 3 votes, Prof. Q = 14 votes, Prof. R = 6 votes and Prof. S = 1.
8. P voted for R, Q voted for S; R voted for Q and S voted for P.
Each professor got one professor vote.

1. Only one of the candidates was from O&Q.
2. Every faculty member, including the four candidates, voted for the post. In each department, all the faculty members who were not candidates voted for the same candidate.
3. There cannot be more than two candidates from a single department. 
4. Faculty members cannot vote for a candidate from their own department.
5. P voted for R, Q voted for S; R voted for Q and S voted for P.

Q6

CAT 2023 Slot 1 - DILR

Directions for Qs. 6 – 10: Refer to the following information and answer the following questions.

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.
The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below.

Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

How many individual ratings cannot be determined from the above information ?

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Marking Scheme
Correct Answer

0

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.





(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.




Q7

CAT 2023 Slot 1 - DILR

Directions for Qs. 6 – 10: Refer to the following information and answer the following questions.

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.
The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below.

Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

To how many workers did R2 give a rating of 4 ?

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Marking Scheme
Correct Answer

0

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.





(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.




Q8

CAT 2023 Slot 1 - DILR

Directions for Qs. 6 – 10: Refer to the following information and answer the following questions.

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.
The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below.

Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

What rating did R1 give to Xavier ?

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Marking Scheme
Correct Answer

3

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.





(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.




Q9

CAT 2023 Slot 1 - DILR

Directions for Qs. 6 – 10: Refer to the following information and answer the following questions.

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.
The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below.

Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

What is the median of the ratings given by R3 to the five workers ?

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Marking Scheme
Correct Answer

4

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.





(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.




Q10

CAT 2023 Slot 1 - DILR

Directions for Qs. 6 – 10: Refer to the following information and answer the following questions.

Five restaurants, coded R1, R2, R3, R4 and R5 gave integer ratings to five gig workers – Ullas, Vasu, Waman, Xavier and Yusuf, on a scale of 1 to 5.
The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.
The summary statistics of these ratings for the five workers is given below.

Range of ratings is defined as the difference between the maximum and minimum ratings awarded to a worker.
The following is partial information about ratings of 1 and 5 awarded by the restaurants to the workers.
(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.

Which among the following restaurants gave its median rating to exactly one of the workers ?

A

R5

B

R2

C

R3

D

R4

Free Resources
Marking Scheme
Correct Answer

R4

The means of the ratings given by R1, R2, R3, R4 and R5 were 3.4, 2.2, 3.8, 2.8 and 3.4 respectively.





(a) R1 awarded a rating of 5 to Waman, as did R2 to Xavier, R3 to Waman and Xavier, and R5 to Vasu.
(b) R1 awarded a rating of 1 to Ullas, as did R2 to Waman and Yusuf, and R3 to Yusuf.




Q11

CAT 2023 Slot 1 - DILR

Directions for Qs. 11 – 15: Refer to the following information and answer the following questions.

A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9 : 00 am and ending at 2 : 00 pm. Ten applications are scheduled in each slot.
There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications. Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.
On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9 : 15 am slot but entered the VPO at 9 : 20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
Mahira and Osman were scheduled in the 9 : 30 am slot on that day for visa processing in the Others category.
The following additional information is known about that day.
1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, and Nandini arrived on time.
5. Vijay was called to a counter at 9 : 25 am.

How many UK applications were scheduled on that day ?

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Marking Scheme
Correct Answer

0

1. All slots were full - 20 slots each having 10 applicants each. Total 200 applicants
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications. US Applicants = 100 4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

1. All slots were full - 20 slots X 10 applicants each = 200 applicants 
2. The number of US applications was the same in all the slots. The same was true for the other three categories. US applications = 5 per slot
3. 50% of the applications were US applications. US Applicants = 100 
4. All applicants except Ira, Vijay and Nandini arrived on time. 
5. Vijay was called to a counter at 9:25 am.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order.
They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order.
Shengen
At least 3 appointments per slot.
They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
6 were processing stuff. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.

6 were processing stuff at 9 20. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.
The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time.
So, at 920 technically UK counters should have been processing an applicant but they are not doing this. What
does this mean?

6 were processing stuff at 9 20. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.
The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time.
So, at 920 technically UK counters should have been processing an applicant but they are not doing this. What does this mean?
This means there were no applicants from the UK!!!

Mahira and Osman were scheduled in the 9:30 am slot on that day for that day visa processing in the Others category.
What does this mean?

Mahira and Osman were scheduled in the 9:30 am slot on that day for processing in the Others category.
What does this mean?
At least 2 applicants per slot from Others category.
We have 5 per slot from US, and at least 3 from Shengen and at least 2 from Others.
We have only 10 per slot overall.
Or, in each slot, there are exactly 5 applicants for US visa, 3 for Shengen and 2 for others. O for the UK.

In each slot, there are 5 applicants for the US visa, 3 for Shengen, 2 for others and 0 for the UK
Processing time for US = 10m
Ira = applicant 4 for Shengen Vijay = Applicant 5 
Nandhini = Applicant 6
Mahira & Osman = Applicant nos 5 & 6 for others
Vijay called in at 9:25am.

Q12

CAT 2023 Slot 1 - DILR

Directions for Qs. 11 – 15: Refer to the following information and answer the following questions.

A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9 : 00 am and ending at 2 : 00 pm. Ten applications are scheduled in each slot.
There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications. Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.
On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9 : 15 am slot but entered the VPO at 9 : 20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
Mahira and Osman were scheduled in the 9 : 30 am slot on that day for visa processing in the Others category.
The following additional information is known about that day.
1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, and Nandini arrived on time.
5. Vijay was called to a counter at 9 : 25 am.

What is the maximum possible value of the total time (in minutes, nearest to its integer value) required to process all applications in the Others category on that day ?

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Marking Scheme
Correct Answer

200

1. All slots were full - 20 slots each having 10 applicants each. Total 200 applicants
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications. US Applicants = 100 4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

1. All slots were full - 20 slots X 10 applicants each = 200 applicants 
2. The number of US applications was the same in all the slots. The same was true for the other three categories. US applications = 5 per slot
3. 50% of the applications were US applications. US Applicants = 100 
4. All applicants except Ira, Vijay and Nandini arrived on time. 
5. Vijay was called to a counter at 9:25 am.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order.
They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order.
Shengen
At least 3 appointments per slot.
They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
6 were processing stuff. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.

6 were processing stuff at 9 20. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.
The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time.
So, at 920 technically UK counters should have been processing an applicant but they are not doing this. What
does this mean?

6 were processing stuff at 9 20. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.
The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time.
So, at 920 technically UK counters should have been processing an applicant but they are not doing this. What does this mean?
This means there were no applicants from the UK!!!

Mahira and Osman were scheduled in the 9:30 am slot on that day for that day visa processing in the Others category.
What does this mean?

Mahira and Osman were scheduled in the 9:30 am slot on that day for processing in the Others category.
What does this mean?
At least 2 applicants per slot from Others category.
We have 5 per slot from US, and at least 3 from Shengen and at least 2 from Others.
We have only 10 per slot overall.
Or, in each slot, there are exactly 5 applicants for US visa, 3 for Shengen and 2 for others. O for the UK.

In each slot, there are 5 applicants for the US visa, 3 for Shengen, 2 for others and 0 for the UK
Processing time for US = 10m
Ira = applicant 4 for Shengen Vijay = Applicant 5 
Nandhini = Applicant 6
Mahira & Osman = Applicant nos 5 & 6 for others
Vijay called in at 9:25am.

Q13

CAT 2023 Slot 1 - DILR

Directions for Qs. 11 – 15: Refer to the following information and answer the following questions.

A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9 : 00 am and ending at 2 : 00 pm. Ten applications are scheduled in each slot.
There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications. Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.
On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9 : 15 am slot but entered the VPO at 9 : 20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
Mahira and Osman were scheduled in the 9 : 30 am slot on that day for visa processing in the Others category.
The following additional information is known about that day.
1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, and Nandini arrived on time.
5. Vijay was called to a counter at 9 : 25 am.

Which of the following is the closest to the time when Nandini's application process got over ?

A

9 : 35 am

B

9 : 50 am

C

9 : 37 am

D

9 : 45 am

Free Resources
Marking Scheme
Correct Answer

9 : 45 am

1. All slots were full - 20 slots each having 10 applicants each. Total 200 applicants
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications. US Applicants = 100 4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

1. All slots were full - 20 slots X 10 applicants each = 200 applicants 
2. The number of US applications was the same in all the slots. The same was true for the other three categories. US applications = 5 per slot
3. 50% of the applications were US applications. US Applicants = 100 
4. All applicants except Ira, Vijay and Nandini arrived on time. 
5. Vijay was called to a counter at 9:25 am.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order.
They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order.
Shengen
At least 3 appointments per slot.
They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
6 were processing stuff. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.

6 were processing stuff at 9 20. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.
The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time.
So, at 920 technically UK counters should have been processing an applicant but they are not doing this. What
does this mean?

6 were processing stuff at 9 20. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.
The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time.
So, at 920 technically UK counters should have been processing an applicant but they are not doing this. What does this mean?
This means there were no applicants from the UK!!!

Mahira and Osman were scheduled in the 9:30 am slot on that day for that day visa processing in the Others category.
What does this mean?

Mahira and Osman were scheduled in the 9:30 am slot on that day for processing in the Others category.
What does this mean?
At least 2 applicants per slot from Others category.
We have 5 per slot from US, and at least 3 from Shengen and at least 2 from Others.
We have only 10 per slot overall.
Or, in each slot, there are exactly 5 applicants for US visa, 3 for Shengen and 2 for others. O for the UK.

In each slot, there are 5 applicants for the US visa, 3 for Shengen, 2 for others and 0 for the UK
Processing time for US = 10m
Ira = applicant 4 for Shengen Vijay = Applicant 5 
Nandhini = Applicant 6
Mahira & Osman = Applicant nos 5 & 6 for others
Vijay called in at 9:25am.

Q14

CAT 2023 Slot 1 - DILR

Directions for Qs. 11 – 15: Refer to the following information and answer the following questions.

A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9 : 00 am and ending at 2 : 00 pm. Ten applications are scheduled in each slot.
There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications. Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.
On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9 : 15 am slot but entered the VPO at 9 : 20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
Mahira and Osman were scheduled in the 9 : 30 am slot on that day for visa processing in the Others category.
The following additional information is known about that day.
1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, and Nandini arrived on time.
5. Vijay was called to a counter at 9 : 25 am.

Which of the following statements is false ?

A

The application process of Mahira was completed before Nandini's.

B

The application process of Osman was completed before Vijay's.

C

The application process of Osman was completed before 9:45 am.

D

The application process of Mahira started after Nandini's.

Free Resources
Marking Scheme
Correct Answer

The application process of Mahira started after Nandini's.

1. All slots were full - 20 slots each having 10 applicants each. Total 200 applicants
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications. US Applicants = 100 4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

1. All slots were full - 20 slots X 10 applicants each = 200 applicants 
2. The number of US applications was the same in all the slots. The same was true for the other three categories. US applications = 5 per slot
3. 50% of the applications were US applications. US Applicants = 100 
4. All applicants except Ira, Vijay and Nandini arrived on time. 
5. Vijay was called to a counter at 9:25 am.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order.
They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order.
Shengen
At least 3 appointments per slot.
They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
6 were processing stuff. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.

6 were processing stuff at 9 20. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.
The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time.
So, at 920 technically UK counters should have been processing an applicant but they are not doing this. What
does this mean?

6 were processing stuff at 9 20. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.
The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time.
So, at 920 technically UK counters should have been processing an applicant but they are not doing this. What does this mean?
This means there were no applicants from the UK!!!

Mahira and Osman were scheduled in the 9:30 am slot on that day for that day visa processing in the Others category.
What does this mean?

Mahira and Osman were scheduled in the 9:30 am slot on that day for processing in the Others category.
What does this mean?
At least 2 applicants per slot from Others category.
We have 5 per slot from US, and at least 3 from Shengen and at least 2 from Others.
We have only 10 per slot overall.
Or, in each slot, there are exactly 5 applicants for US visa, 3 for Shengen and 2 for others. O for the UK.

In each slot, there are 5 applicants for the US visa, 3 for Shengen, 2 for others and 0 for the UK
Processing time for US = 10m
Ira = applicant 4 for Shengen Vijay = Applicant 5 
Nandhini = Applicant 6
Mahira & Osman = Applicant nos 5 & 6 for others
Vijay called in at 9:25am.

Q15

CAT 2023 Slot 1 - DILR

Directions for Qs. 11 – 15: Refer to the following information and answer the following questions.

A visa processing office (VPO) accepts visa applications in four categories – US, UK, Schengen, and Others. The applications are scheduled for processing in twenty 15-minute slots starting at 9 : 00 am and ending at 2 : 00 pm. Ten applications are scheduled in each slot.
There are ten counters in the office, four dedicated to US applications, and two each for UK applications, Schengen applications and Others applications. Applicants are called in for processing sequentially on a first-come-first-served basis whenever a counter gets freed for their category. The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time. Depending on the number of applications in a category and time required to process an application for that category, it is possible that an applicant for a slot may be processed later.
On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order. They had a 9 : 15 am slot but entered the VPO at 9 : 20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
Mahira and Osman were scheduled in the 9 : 30 am slot on that day for visa processing in the Others category.
The following additional information is known about that day.
1. All slots were full.
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications.
4. All applicants except Ira, and Nandini arrived on time.
5. Vijay was called to a counter at 9 : 25 am.

When did the application processing for all US applicants get over on that day ?

A

2:25 pm

B

3:40 pm

C

2:00 pm

D

2:05 pm

Free Resources
Marking Scheme
Correct Answer

2:05 pm

1. All slots were full - 20 slots each having 10 applicants each. Total 200 applicants
2. The number of US applications was the same in all the slots. The same was true for the other three categories.
3. 50% of the applications were US applications. US Applicants = 100 4. All applicants except Ira, Vijay and Nandini arrived on time.
5. Vijay was called to a counter at 9:25 am.

1. All slots were full - 20 slots X 10 applicants each = 200 applicants 
2. The number of US applications was the same in all the slots. The same was true for the other three categories. US applications = 5 per slot
3. 50% of the applications were US applications. US Applicants = 100 
4. All applicants except Ira, Vijay and Nandini arrived on time. 
5. Vijay was called to a counter at 9:25 am.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order.
They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.

On a particular day, Ira, Vijay and Nandini were scheduled for Schengen visa processing in that order.
Shengen
At least 3 appointments per slot.
They had a 9:15 am slot but entered the VPO at 9:20 am. When they entered the office, exactly six out of the ten counters were either processing applications, or had finished processing one and ready to start processing the next.
6 were processing stuff. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.

6 were processing stuff at 9 20. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.
The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time.
So, at 920 technically UK counters should have been processing an applicant but they are not doing this. What
does this mean?

6 were processing stuff at 9 20. All 4 US counters should have been processing. Since Ira, Vijay and Nandini could not go and join, the two Shengen counters should also have been processing.
The processing time for an application is the same within each category. But it may vary across the categories. Each US and UK application requires 10 minutes of processing time.
So, at 920 technically UK counters should have been processing an applicant but they are not doing this. What does this mean?
This means there were no applicants from the UK!!!

Mahira and Osman were scheduled in the 9:30 am slot on that day for that day visa processing in the Others category.
What does this mean?

Mahira and Osman were scheduled in the 9:30 am slot on that day for processing in the Others category.
What does this mean?
At least 2 applicants per slot from Others category.
We have 5 per slot from US, and at least 3 from Shengen and at least 2 from Others.
We have only 10 per slot overall.
Or, in each slot, there are exactly 5 applicants for US visa, 3 for Shengen and 2 for others. O for the UK.

In each slot, there are 5 applicants for the US visa, 3 for Shengen, 2 for others and 0 for the UK
Processing time for US = 10m
Ira = applicant 4 for Shengen Vijay = Applicant 5 
Nandhini = Applicant 6
Mahira & Osman = Applicant nos 5 & 6 for others
Vijay called in at 9:25am.

Q16

CAT 2023 Slot 1 - DILR

Directions for Qs. 16 – 20: Refer to the following information and answer the following questions.

The schematic diagram below shows 12 rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are located in six columns – Column-A through Column-F, and two rows – Row-1 and Row-2. The houses are divided into two blocks - Block XX and Block YY. The diagram also shows two roads, one passing in front of the houses in Row-2 and another between the two blocks.

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).
The following information is also known.
1. The maximum quoted price of a house in Block XX is Rs 24 lakhs. The minimum quoted price of a house in block YY is Rs 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
4. There is only one house with parking space in Block YY.

How many houses are vacant in Block XX ?

Free Resources
Marking Scheme
Correct Answer

3

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
We have entered the road adjacency numbers inside the boxes in purple.
The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
We have entered the road adjacency numbers inside the boxes in purple.
We have entered the maximum possible neighbour count outside the box in red. Note that this is the max possibly neighbour count and not actual neighbour count.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
4. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be?
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Either E1 with base price 12 and one neighbour or E2 with base price 10 and zero neighbours
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Either E1 with base price 12 and one neighbour or E2 with base price 10 and zero neighbours.
1. If it were E2 with zero neighbours, then D2 and F2 should be empty. This means D1 and F1 should be occupied (constraint 4). This is not possible as Row 1 has only one occupied house in block YY.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. Either F1 or D1 should be vacant. If F1 were vacant, it would have a maximum quoted price of 10 + 3 = 13. This is not possible.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. D1 is vacant, F1 is occupied.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency ) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. D1 is vacant, F1 is occupied.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

Q17

CAT 2023 Slot 1 - DILR

Directions for Qs. 16 – 20: Refer to the following information and answer the following questions.

The schematic diagram below shows 12 rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are located in six columns – Column-A through Column-F, and two rows – Row-1 and Row-2. The houses are divided into two blocks - Block XX and Block YY. The diagram also shows two roads, one passing in front of the houses in Row-2 and another between the two blocks.

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).
The following information is also known.
1. The maximum quoted price of a house in Block XX is Rs 24 lakhs. The minimum quoted price of a house in block YY is Rs 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
4. There is only one house with parking space in Block YY.

Which of the following houses are definitely occupied ?

A

F2 and A2

B

D2 and B2

C

D2 and B1

D

A1 and D2

Free Resources
Marking Scheme
Correct Answer

D2 and B1

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
We have entered the road adjacency numbers inside the boxes in purple.
The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
We have entered the road adjacency numbers inside the boxes in purple.
We have entered the maximum possible neighbour count outside the box in red. Note that this is the max possibly neighbour count and not actual neighbour count.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
4. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be?
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Either E1 with base price 12 and one neighbour or E2 with base price 10 and zero neighbours
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Either E1 with base price 12 and one neighbour or E2 with base price 10 and zero neighbours.
1. If it were E2 with zero neighbours, then D2 and F2 should be empty. This means D1 and F1 should be occupied (constraint 4). This is not possible as Row 1 has only one occupied house in block YY.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. Either F1 or D1 should be vacant. If F1 were vacant, it would have a maximum quoted price of 10 + 3 = 13. This is not possible.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. D1 is vacant, F1 is occupied.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency ) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. D1 is vacant, F1 is occupied.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

Q18

CAT 2023 Slot 1 - DILR

Directions for Qs. 16 – 20: Refer to the following information and answer the following questions.

The schematic diagram below shows 12 rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are located in six columns – Column-A through Column-F, and two rows – Row-1 and Row-2. The houses are divided into two blocks - Block XX and Block YY. The diagram also shows two roads, one passing in front of the houses in Row-2 and another between the two blocks.

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).
The following information is also known.
1. The maximum quoted price of a house in Block XX is Rs 24 lakhs. The minimum quoted price of a house in block YY is Rs 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
4. There is only one house with parking space in Block YY.

Which of the following options best describes the number of vacant houses in Row-2 ?

A

Either 3 or 4

B

Either 2 or 3

C

Exactly 3

D

Exactly 2

Free Resources
Marking Scheme
Correct Answer

Either 2 or 3

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
We have entered the road adjacency numbers inside the boxes in purple.
The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
We have entered the road adjacency numbers inside the boxes in purple.
We have entered the maximum possible neighbour count outside the box in red. Note that this is the max possibly neighbour count and not actual neighbour count.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
4. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be?
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Either E1 with base price 12 and one neighbour or E2 with base price 10 and zero neighbours
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Either E1 with base price 12 and one neighbour or E2 with base price 10 and zero neighbours.
1. If it were E2 with zero neighbours, then D2 and F2 should be empty. This means D1 and F1 should be occupied (constraint 4). This is not possible as Row 1 has only one occupied house in block YY.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. Either F1 or D1 should be vacant. If F1 were vacant, it would have a maximum quoted price of 10 + 3 = 13. This is not possible.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. D1 is vacant, F1 is occupied.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency ) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. D1 is vacant, F1 is occupied.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

Q19

CAT 2023 Slot 1 - DILR

Directions for Qs. 16 – 20: Refer to the following information and answer the following questions.

The schematic diagram below shows 12 rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are located in six columns – Column-A through Column-F, and two rows – Row-1 and Row-2. The houses are divided into two blocks - Block XX and Block YY. The diagram also shows two roads, one passing in front of the houses in Row-2 and another between the two blocks.

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).
The following information is also known.
1. The maximum quoted price of a house in Block XX is Rs 24 lakhs. The minimum quoted price of a house in block YY is Rs 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
4. There is only one house with parking space in Block YY.

What is the maximum possible quoted price (in lakhs of Rs) for a vacant house in Column-E ?

Free Resources
Marking Scheme
Correct Answer

21

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
We have entered the road adjacency numbers inside the boxes in purple.
The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
We have entered the road adjacency numbers inside the boxes in purple.
We have entered the maximum possible neighbour count outside the box in red. Note that this is the max possibly neighbour count and not actual neighbour count.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
4. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be?
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Either E1 with base price 12 and one neighbour or E2 with base price 10 and zero neighbours
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Either E1 with base price 12 and one neighbour or E2 with base price 10 and zero neighbours.
1. If it were E2 with zero neighbours, then D2 and F2 should be empty. This means D1 and F1 should be occupied (constraint 4). This is not possible as Row 1 has only one occupied house in block YY.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. Either F1 or D1 should be vacant. If F1 were vacant, it would have a maximum quoted price of 10 + 3 = 13. This is not possible.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. D1 is vacant, F1 is occupied.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency ) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. D1 is vacant, F1 is occupied.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

Q20

CAT 2023 Slot 1 - DILR

Directions for Qs. 16 – 20: Refer to the following information and answer the following questions.

The schematic diagram below shows 12 rectangular houses in a housing complex. House numbers are mentioned in the rectangles representing the houses. The houses are located in six columns – Column-A through Column-F, and two rows – Row-1 and Row-2. The houses are divided into two blocks - Block XX and Block YY. The diagram also shows two roads, one passing in front of the houses in Row-2 and another between the two blocks.

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).
The following information is also known.
1. The maximum quoted price of a house in Block XX is Rs 24 lakhs. The minimum quoted price of a house in block YY is Rs 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
4. There is only one house with parking space in Block YY.

Which house in Block YY has parking space ?

A

F2

B

F1

C

E2

D

E1

Free Resources
Marking Scheme
Correct Answer

F2

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
The road adjacency value of a house is the number of its sides adjacent to a road. For example, the road adjacency values of C2, F2, and B1 are 2, 1, and 0, respectively. The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
We have entered the road adjacency numbers inside the boxes in purple.
The neighbour count of a house is the number of sides of that house adjacent to occupied houses in the same block. For example, E1 and C1 can have the maximum possible neighbour counts of 3 and 2, respectively.
The base price of a vacant house is Rs. 10 lakhs if the house does not have a parking space, and Rs. 12 lakhs if it does. The quoted price (in lakhs of Rs.) of a vacant house is calculated as (base price) + 5 × (road adjacency value) + 3 × (neighbour count).

Some of the houses are occupied. The remaining ones are vacant and are the only ones available for sale.
We have entered the road adjacency numbers inside the boxes in purple.
We have entered the maximum possible neighbour count outside the box in red. Note that this is the max possibly neighbour count and not actual neighbour count.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
2. Row-1 has two occupied houses, one in each block.
3. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
4. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be?
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. - Which house could this be? A1, B1 cannot reach up to Rs. 24 lakhs. Nor can C1 or A2. C2 price should be 10/12 + 10 + 3 × (Neighbour count). This can be 20/22 or 23/25 or 26/28. So, B2 should be the one that costs Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. 4. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Either E1 with base price 12 and one neighbour or E2 with base price 10 and zero neighbours
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. Either E1 with base price 12 and one neighbour or E2 with base price 10 and zero neighbours.
1. If it were E2 with zero neighbours, then D2 and F2 should be empty. This means D1 and F1 should be occupied (constraint 4). This is not possible as Row 1 has only one occupied house in block YY.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. Either F1 or D1 should be vacant. If F1 were vacant, it would have a maximum quoted price of 10 + 3 = 13. This is not possible.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. D1 is vacant, F1 is occupied.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency ) + 3 × (Neighbour Count)

1. The maximum quoted price of a house in Block XX is Rs. 24 lakhs. So, B2 comes with no parking lot and 3 neighbours.
2. The minimum quoted price of a house in block YY is Rs. 15 lakhs, and one such house is in Column-E. E1 should have base price 12 and one neighbour. D1 is vacant, F1 is occupied.
3. Row-1 has two occupied houses, one in each block.
4. Both houses in Column-E are vacant. Each of Column-D and Column-F has at least one occupied house.
5. There is only one house with parking space in Block YY.
Quoted Price = 10L/12L + 5 × (Road Adjacency) + 3 × (Neighbour Count)

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