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CAT 2023 Slot 1 DILR Questions & Answer Key

Data Interpretation & Logical Reasoning questions from CAT 2023 Slot 1 (IIM Lucknow, Morning Session (8:30 AM – 10:30 AM IST); 20 in the exam) with the answer key and step-by-step solutions

Executive Answer & Section Summary

CAT 2023 Slot 1 Data Interpretation & Logical Reasoning (DILR) was conducted by IIM Lucknow during the Morning Session (8:30 AM – 10:30 AM IST). The section comprised 20 questions administered under a strict 40-minute sectional countdown. Sectional marking adheres to standard CAT conventions: +3 marks for every correct answer, -1 mark penalty for incorrect MCQs, and zero penalty for non-MCQ TITA questions. Securing a 99.0th percentile in this section required approximately 23–26 marks (~8 net correct). The question distribution featured 4 to 5 multi-condition caselets covering matrix arrangements, tabular reasoning, games-tournaments, and data graphs under strict 40-minute clocks. All questions in this archive are sourced from official candidate response sheets, cross-verified with the convenor master key, and solved with step-by-step logic proofs on ThinkCAT.

20 Total Questions
MCQ: 12 (+3 / -1)
TITA: 8 (0 Negative Penalty)
Attempt DILR Section in Timed 40-Min ModeSolve Questions on this Page

CAT Direct Answer Fact Sheet & Citation Summary

Structured Knowledge Graph • Verified Academic Analysis
Updated for CAT 2026: 1 November 2026
Verified Questions
20 Qs
12 MCQ + 8 TITA
99%ile Score Benchmark
23–26 Marks (out of 60 in DILR, ~8 net correct questions)
Scoring Scheme
+3 / -1 / 0
Zero penalty on TITA
Testing Interface
TCS iON CBT
On-Screen Calc Enabled
IIM Exam Strategy & Score Maximization Directives
1Invest the initial 3–4 minutes scanning all 4 caselet sets to evaluate data density and rule clarity before committing to solving.
2Fill definitive negative conditions (e.g. "P cannot sit in Slot 3") into a 2D matrix immediately to narrow deductive branches.
3If a set takes more than 12 minutes without yielding 2 confirmed question answers, switch immediately to the next caselet.
Share this dataset with study groups:
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Editorial & Academic Authority: Verified by ThinkCAT Academic & Editorial Council.
Citation Format: ThinkCAT Academic Archive (thinkcat.in)

CAT 2023 Slot 1 DILR Answer Key

Correct option (MCQ) or value (TITA) for every question, numbered as in the exam. Full solutions are in the questions below.

DILR

  1. Q1C
  2. Q2B
  3. Q3D
  4. Q4D
  5. Q5B
  6. Q60
  7. Q70
  8. Q83
  9. Q94
  10. Q10D
  11. Q110
  12. Q12200
  13. Q13A
  14. Q14B
  15. Q15B
  16. Q163
  17. Q17A
  18. Q18B
  19. Q1921
  20. Q20C
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Official Exam Questions & Explanations (20 of 20)

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Solve this section set by set, with solutions

Question 1 of 20
CAT 2023 Slot 1DILRLogical Reasoning • ArrangementsEasy
Caselet / Problem Set Context•~203 words
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?
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Question 2 of 20
CAT 2023 Slot 1DILRLogical Reasoning • ArrangementsEasy
Caselet / Problem Set Context•~203 words
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?
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Question 3 of 20
CAT 2023 Slot 1DILRLogical Reasoning • ArrangementsEasy
Caselet / Problem Set Context•~203 words
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.
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Question 4 of 20
CAT 2023 Slot 1DILRLogical Reasoning • ArrangementsEasy
Caselet / Problem Set Context•~203 words
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\mathrm{O} \& \mathrm{Q} ?
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Question 5 of 20
CAT 2023 Slot 1DILRLogical Reasoning • ArrangementsEasy
Caselet / Problem Set Context•~203 words
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.
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Question 6 of 20
CAT 2023 Slot 1DILRData Interpretation • TablesModerate
Caselet / Problem Set Context•~227 words
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.
UllasVasuWamanXavierYusuf
Mean rating2.23.83.43.62.6
Median rating24443
Modal rating24551 and 4
Range of rating*33443
*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? (in numerial value)
TITA Answer:
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Question 7 of 20
CAT 2023 Slot 1DILRData Interpretation • TablesModerate
Caselet / Problem Set Context•~227 words
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.
UllasVasuWamanXavierYusuf
Mean rating2.23.83.43.62.6
Median rating24443
Modal rating24551 and 4
Range of rating*33443
*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? (in numerial value)
TITA Answer:
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Question 8 of 20
CAT 2023 Slot 1DILRData Interpretation • TablesModerate
Caselet / Problem Set Context•~227 words
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.
UllasVasuWamanXavierYusuf
Mean rating2.23.83.43.62.6
Median rating24443
Modal rating24551 and 4
Range of rating*33443
*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? (in numerial value)
TITA Answer:
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Question 9 of 20
CAT 2023 Slot 1DILRData Interpretation • TablesModerate
Caselet / Problem Set Context•~227 words
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.
UllasVasuWamanXavierYusuf
Mean rating2.23.83.43.62.6
Median rating24443
Modal rating24551 and 4
Range of rating*33443
*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? (in numerial value)
TITA Answer:
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Question 10 of 20
CAT 2023 Slot 1DILRData Interpretation • TablesModerate
Caselet / Problem Set Context•~227 words
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.
UllasVasuWamanXavierYusuf
Mean rating2.23.83.43.62.6
Median rating24443
Modal rating24551 and 4
Range of rating*33443
*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?
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Question 11 of 20
CAT 2023 Slot 1DILRLogical Reasoning • OptimizationHard
Caselet / Problem Set Context•~290 words
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, Vijay 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? (in numerial value)
TITA Answer:
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Question 12 of 20
CAT 2023 Slot 1DILRLogical Reasoning • OptimizationHard
Caselet / Problem Set Context•~290 words
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, Vijay 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? (in numerial value)
TITA Answer:
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Question 13 of 20
CAT 2023 Slot 1DILRLogical Reasoning • OptimizationHard
Caselet / Problem Set Context•~290 words
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, Vijay 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?
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Question 14 of 20
CAT 2023 Slot 1DILRLogical Reasoning • OptimizationHard
Caselet / Problem Set Context•~290 words
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, Vijay and Nandini arrived on time.
5
Vijay was called to a counter at 9:25 am.
Which of the following statements is false?
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Question 15 of 20
CAT 2023 Slot 1DILRLogical Reasoning • OptimizationHard
Caselet / Problem Set Context•~290 words
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, Vijay 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?
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Question 16 of 20
CAT 2023 Slot 1DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~310 words
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 ×\times (road adjacency value) + 3 ×\times (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.
Official Reference Chart - CAT 2023 Slot 1 Official Reference Chart - CAT 2023 Slot 1
How many houses are vacant in Block XX? (in numerial value)
TITA Answer:
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Question 17 of 20
CAT 2023 Slot 1DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~310 words
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 ×\times (road adjacency value) + 3 ×\times (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.
Official Reference Chart - CAT 2023 Slot 1 Official Reference Chart - CAT 2023 Slot 1
Which of the following houses is definitely occupied?
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Question 18 of 20
CAT 2023 Slot 1DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~310 words
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 ×\times (road adjacency value) + 3 ×\times (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.
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Which of the following options best describes the number of vacant houses in Row-2?
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Question 19 of 20
CAT 2023 Slot 1DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~310 words
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 ×\times (road adjacency value) + 3 ×\times (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.
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What is the maximum possible quoted price (in lakhs of Rs.) for a vacant house in Column-E? (in numerial value)
TITA Answer:
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Question 20 of 20
CAT 2023 Slot 1DILRLogical Reasoning • GridsHard
Caselet / Problem Set Context•~310 words
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 ×\times (road adjacency value) + 3 ×\times (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.
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Which house in Block YY has parking space?
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CAT 2023 Slot 1 DILR contained 20 questions convened by IIM Lucknow. Marking was +3 marks for correct answers, -1 for incorrect MCQs, and zero penalty for TITA questions.

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