CAT: Logical ReasoningArrangements. Free, no login required.

Q1:

CAT 2023 Slot 2

Arrangements

Easy

Odsville has five firms – Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.

Each firm raised Rs. 1 crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. 1 crore or by Rs. 2 crores.

The table below provides partial information about the five firms.

FirmFirst year of existenceLast year of existenceTotal amount raised (Rs. crores)
Alfloo2009201621
Bzygoo20122015
Czechy20139
Drjbna2011201510
Elavalaki201013

What is the largest possible total amount of money (in Rs. crores) that could have been raised in 20132013?

Q2:

CAT 2023 Slot 2

Arrangements

Easy

Odsville has five firms – Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.

Each firm raised Rs. 1 crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. 1 crore or by Rs. 2 crores.

The table below provides partial information about the five firms.

FirmFirst year of existenceLast year of existenceTotal amount raised (Rs. crores)
Alfloo2009201621
Bzygoo20122015
Czechy20139
Drjbna2011201510
Elavalaki201013

If Elavalaki raised Rs. 3 crores in 2013, then what is the smallest possible total amount of money (in Rs. crores) that could have been raised by all the companies in 2012?

Answer options
Option 1
Correct Answer
Explanation for CAT 2023 Slot 2 DILR question 2

Q3:

CAT 2023 Slot 2

Arrangements

Easy

Odsville has five firms – Alfloo, Bzygoo, Czechy, Drjbna and Elavalaki. Each of these firms was founded in some year and also closed down a few years later.

Each firm raised Rs. 1 crore in its first and last year of existence. The amount each firm raised every year increased until it reached a maximum, and then decreased until the firm closed down. No firm raised the same amount of money in two consecutive years. Each annual increase and decrease was either by Rs. 1 crore or by Rs. 2 crores.

The table below provides partial information about the five firms.

FirmFirst year of existenceLast year of existenceTotal amount raised (Rs. crores)
Alfloo2009201621
Bzygoo20122015
Czechy20139
Drjbna2011201510
Elavalaki201013

If the total amount of money raised in 20142014 is Rs. 1212 crores, then which of the following is not possible?

Answer options
Option 4
Correct Answer
Explanation for CAT 2023 Slot 2 DILR question 3

Q4:

CAT 2023 Slot 2

Arrangements

Medium

Three participants – Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9, both inclusive. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants' scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.



Table 1: 2-day averages for Days 2
through 5
Day 2Day 3Day 4Day 5
1515.51617

Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in Table 2.



Table 2: Ranks of participants on each day
Day 1Day 2Day 3Day 4Day 5
Akhil12233
Bimal23211
Chatur31122

The following information is also known.

  1. Chatur always scores in multiples of 3. His score on Day 2 is the unique highest score in the competition. His minimum score is observed only on Day 1, and it matches Akhil's score on Day 4.
  2. The total score on Day 3 is the same as the total score on Day 4.
  3. Bimal's scores are the same on Day 1 and Day 3.

What is the minimum possible total score of Bimal?

Q5:

CAT 2023 Slot 2

Arrangements

Medium

Three participants – Akhil, Bimal and Chatur participate in a random draw competition for five days. Every day, each participant randomly picks up a ball numbered between 1 and 9, both inclusive. The number on the ball determines his score on that day. The total score of a participant is the sum of his scores attained in the five days. The total score of a day is the sum of participants' scores on that day. The 2-day average on a day, except on Day 1, is the average of the total scores of that day and of the previous day. For example, if the total scores of Day 1 and Day 2 are 25 and 20, then the 2-day average on Day 2 is calculated as 22.5. Table 1 gives the 2-day averages for Days 2 through 5.



Table 1: 2-day averages for Days 2
through 5
Day 2Day 3Day 4Day 5
1515.51617

Participants are ranked each day, with the person having the maximum score being awarded the minimum rank (1) on that day. If there is a tie, all participants with the tied score are awarded the best available rank. For example, if on a day Akhil, Bimal, and Chatur score 8, 7 and 7 respectively, then their ranks will be 1, 2 and 2 respectively on that day. These ranks are given in Table 2.



Table 2: Ranks of participants on each day
Day 1Day 2Day 3Day 4Day 5
Akhil12233
Bimal23211
Chatur31122

The following information is also known.

  1. Chatur always scores in multiples of 3. His score on Day 2 is the unique highest score in the competition. His minimum score is observed only on Day 1, and it matches Akhil's score on Day 4.
  2. The total score on Day 3 is the same as the total score on Day 4.
  3. Bimal's scores are the same on Day 1 and Day 3.

If the total score of Bimal is a multiple of 3, what is the score of Akhil on Day 2?

Answer options
Option 2
Correct Answer
Explanation for CAT 2023 Slot 2 DILR question 5

Q6:

CAT 2023 Slot 1

Arrangements

Easy

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?

Answer options
Option 3
Correct Answer
Explanation for CAT 2023 Slot 1 DILR question 6

Q7:

CAT 2023 Slot 1

Arrangements

Easy

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?

Answer options
Option 2
Correct Answer
Explanation for CAT 2023 Slot 1 DILR question 7

Q8:

CAT 2023 Slot 1

Arrangements

Easy

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.

Answer options
Option 4
Correct Answer
Explanation for CAT 2023 Slot 1 DILR question 8

Q9:

CAT 2023 Slot 1

Arrangements

Easy

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} ?

Answer options
Option 4
Correct Answer
Explanation for CAT 2023 Slot 1 DILR question 9

Q10:

CAT 2023 Slot 1

Arrangements

Easy

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.

Answer options
Option 2
Correct Answer
Explanation for CAT 2023 Slot 1 DILR question 10

Q11:

CAT 2022 Slot 3

Arrangements

Easy

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.

The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

What BEST can be concluded about the total number of new cases in the city on Day 2?

Answer options
Option 4
Correct Answer
Explanation for CAT 2022 Slot 3 DILR question 11

Q12:

CAT 2022 Slot 3

Arrangements

Easy

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.

The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

What BEST can be concluded about the number of new cases in Levmisto on Day 3?

Answer options
Option 2
Correct Answer
Explanation for CAT 2022 Slot 3 DILR question 12

Q13:

CAT 2022 Slot 3

Arrangements

Easy

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.

The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

On which days did Pesmisto not have any new case?

Answer options
Option 1
Correct Answer
Explanation for CAT 2022 Slot 3 DILR question 13

Q14:

CAT 2022 Slot 3

Arrangements

Easy

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.

The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

Which of the two statements below is/are necessarily false?

Statement A: There were 2 new cases in Tyhrmisto on Day 3.

Statement B: There were no new cases in Pesmisto on Day 2.

Answer options
Option 2
Correct Answer
Explanation for CAT 2022 Slot 3 DILR question 14

Q15:

CAT 2022 Slot 3

Arrangements

Easy

There are only four neighbourhoods in a city - Levmisto, Tyhrmisto, Pesmisto and Kitmisto. During the onset of a pandemic, the number of new cases of a disease in each of these neighbourhoods was recorded over a period of five days. On each day, the number of new cases recorded in any of the neighbourhoods was either 0, 1, 2 or 3.

The following facts are also known:

  1. There was at least one new case in every neighbourhood on Day 1.
  2. On each of the five days, there were more new cases in Kitmisto than in Pesmisto.
  3. The number of new cases in the city in a day kept increasing during the five-day period. The number of new cases on Day 3 was exactly one more than that on Day 2.
  4. The maximum number of new cases in a day in Pesmisto was 2, and this happened only once during the five-day period.
  5. Kitmisto is the only place to have 3 new cases on Day 2.
  6. The total numbers of new cases in Levmisto, Tyhrmisto, Pesmisto and Kitmisto over the five-day period were 12, 12, 5 and 14 respectively.

On how many days did Levmisto and Tyhrmisto have the same number of new cases?

Answer options
Option 2
Correct Answer
Explanation for CAT 2022 Slot 3 DILR question 15

Q16:

CAT 2022 Slot 1

Arrangements

Medium

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals.

The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players.

  1. Only one goal was scored in every even numbered match.
  2. Harita scored more goals than Bimla.
  3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8.
  4. Bimla scored a goal in Match 1 and one each in three other consecutive matches.
  5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5.
  6. The match in which the highest number of goals was scored was unique and it was not Match 5.

How many goals were scored in Match 7?

Answer options
Option 1
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 16

Q17:

CAT 2022 Slot 1

Arrangements

Medium

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals.

The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players.

  1. Only one goal was scored in every even numbered match.
  2. Harita scored more goals than Bimla.
  3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8.
  4. Bimla scored a goal in Match 1 and one each in three other consecutive matches.
  5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5.
  6. The match in which the highest number of goals was scored was unique and it was not Match 5.

Which of the following is the correct sequence of goals scored in matches 1, 3, 5 and 7?

Answer options
Option 4
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 17

Q18:

CAT 2022 Slot 1

Arrangements

Medium

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals.

The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players.

  1. Only one goal was scored in every even numbered match.
  2. Harita scored more goals than Bimla.
  3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8.
  4. Bimla scored a goal in Match 1 and one each in three other consecutive matches.
  5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5.
  6. The match in which the highest number of goals was scored was unique and it was not Match 5.

Which of the following statement(s) is/are true?

Statement-1: Amla and Sarita never scored goals in the same match.

Statement-2: Harita and Sarita never scored goals in the same match.

Answer options
Option 3
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 18

Q19:

CAT 2022 Slot 1

Arrangements

Medium

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals.

The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players.

  1. Only one goal was scored in every even numbered match.
  2. Harita scored more goals than Bimla.
  3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8.
  4. Bimla scored a goal in Match 1 and one each in three other consecutive matches.
  5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5.
  6. The match in which the highest number of goals was scored was unique and it was not Match 5.

Which of the following statement(s) is/are false?

Statement-1: In every match at least one player scored a goal.

Statement-2: No two players scored goals in the same number of matches.

Answer options
Option 2
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 19

Q20:

CAT 2022 Slot 1

Arrangements

Medium

The management of a university hockey team was evaluating performance of four women players - Amla, Bimla, Harita and Sarita for their possible selection in the university team for next year. For this purpose, the management was looking at the number of goals scored by them in the past 8 matches, numbered 1 through 8. The four players together had scored a total of 12 goals in these matches. In the 8 matches, each of them had scored at least one goal. No two players had scored the same total number of goals.

The following facts are known about the goals scored by these four players only. All the questions refer only to the goals scored by these four players.

  1. Only one goal was scored in every even numbered match.
  2. Harita scored more goals than Bimla.
  3. The highest goal scorer scored goals in exactly 3 matches including Match 4 and Match 8.
  4. Bimla scored a goal in Match 1 and one each in three other consecutive matches.
  5. An equal number of goals were scored in Match 3 and Match 7, which was different from the number of goals scored in either Match 1 or Match 5.
  6. The match in which the highest number of goals was scored was unique and it was not Match 5.

If Harita scored goals in one more match as compared to Sarita, which of the following statement(s) is/are necessarily true?

Statement-1: Amla scored goals in consecutive matches.

Statement-2: Sarita scored goals in consecutive matches.

Answer options
Option 4
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 20

Q21:

CAT 2022 Slot 1

Arrangements

Medium

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000.

The following additional facts are known:

  1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.
  2. Rasheeda received the highest number of tokens that anyone received, but she did not receive one from Esther.
  3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

How many tokens did Qahira receive?

Q22:

CAT 2022 Slot 1

Arrangements

Medium

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000.

The following additional facts are known:

  1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.
  2. Rasheeda received the highest number of tokens that anyone received, but she did not receive one from Esther.
  3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

Who among the following definitely received a token from Bithi but not from Dhanavi

Answer options
Option 2
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 22

Q23:

CAT 2022 Slot 1

Arrangements

Medium

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000.

The following additional facts are known:

  1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.
  2. Rasheeda received the highest number of tokens that anyone received, but she did not receive one from Esther.
  3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

How many tokens did Chhaya award?

Q24:

CAT 2022 Slot 1

Arrangements

Medium

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000.

The following additional facts are known:

  1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.
  2. Rasheeda received the highest number of tokens that anyone received, but she did not receive one from Esther.
  3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

How many tokens did Smera receive?

Q25:

CAT 2022 Slot 1

Arrangements

Medium

Adhara, Bithi, Chhaya, Dhanavi, Esther, and Fathima are the interviewers in a process that awards funding for new initiatives. Every interviewer individually interviews each of the candidates individually and awards a token only if she recommends funding. A token has a face value of 2, 3, 5, 7, 11, or 13. Each interviewer awards tokens of a single face value only.

Once all six interviews are over for a candidate, the candidate receives a funding that is Rs.1000 times the product of the face values of all the tokens. For example, if a candidate has tokens with face values 2, 5, and 7, then they get a funding of Rs.1000 × (2 × 5 × 7) = Rs.70,000.

Pragnyaa, Qahira, Rasheeda, Smera, and Tantra were five candidates who received funding. The funds they received, in descending order, were Rs.390,000, Rs.210,000, Rs.165,000, Rs.77,000, and Rs.66,000.

The following additional facts are known:

  1. Fathima awarded tokens to everyone except Qahira, while Adhara awarded tokens to no one except Pragnyaa.
  2. Rasheeda received the highest number of tokens that anyone received, but she did not receive one from Esther.
  3. Bithi awarded a token to Smera but not to Qahira, while Dhanavi awarded a token to Qahira but not to Smera.

Which of the following could be the amount of funding that Tantra received?

(a) Rs. 66,00066,000

(b) Rs. 165,000165,000

Answer options
Option 4
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 25

Q26:

CAT 2022 Slot 1

Arrangements

Hard

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer.

Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event.

The following facts are also known:

  1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event.
  2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both.
  3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers.
  4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event.
  5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

How many boys are there in the class?

Q27:

CAT 2022 Slot 1

Arrangements

Hard

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer.

Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event.

The following facts are also known:

  1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event.
  2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both.
  3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers.
  4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event.
  5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

Which of the following can be determined from the given information?

I. The number of boys who are interested in attending a 1-day event and are neither dancers nor singers.

II. The number of female dancers who are interested in attending a 1-day event.

Answer options
Option 4
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 27

Q28:

CAT 2022 Slot 1

Arrangements

Hard

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer.

Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event.

The following facts are also known:

  1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event.
  2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both.
  3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers.
  4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event.
  5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

What fraction of the class are interested in attending a 2-day event?

Answer options
Option 1
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 28

Q29:

CAT 2022 Slot 1

Arrangements

Hard

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer.

Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event.

The following facts are also known:

  1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event.
  2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both.
  3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers.
  4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event.
  5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

What BEST can be concluded about the number of male dancers who are interested in attending a 1-day event?

Answer options
Option 4
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 29

Q30:

CAT 2022 Slot 1

Arrangements

Hard

There are 15 girls and some boys among the graduating students in a class. They are planning a get-together, which can be either a 1-day event, or a 2-day event, or a 3-day event. There are 6 singers in the class, 4 of them are boys. There are 10 dancers in the class, 4 of them are girls. No dancer in the class is a singer.

Some students are not interested in attending the get-together. Those students who are interested in attending a 3-day event are also interested in attending a 2-day event; those who are interested in attending a 2-day event are also interested in attending a 1-day event.

The following facts are also known:

  1. All the girls and 80% of the boys are interested in attending a 1-day event. 60% of the boys are interested in attending a 2-day event.
  2. Some of the girls are interested in attending a 1-day event, but not a 2-day event; some of the other girls are interested in attending both.
  3. 70% of the boys who are interested in attending a 2-day event are neither singers nor dancers. 60% of the girls who are interested in attending a 2-day event are neither singers nor dancers.
  4. No girl is interested in attending a 3-day event. All male singers and 2 of the dancers are interested in attending a 3-day event.
  5. The number of singers interested in attending a 2-day event is one more than the number of dancers interested in attending a 2-day event.

How many female dancers are interested in attending a 2-day event?

Answer options
Option 3
Correct Answer
Explanation for CAT 2022 Slot 1 DILR question 30