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Q1:

2025 Slot 1

Games & Tournaments

Hard

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu.

At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3.

The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher.

  1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4.
  2. Dolly and Falguni were the only employees who got the same rating across all the quarters.
  3. The following is known about ratings given by Lalu:

• Bunty received a rating of 1 in Quarter 2.

• Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

What was Eklavya’s score at the end of Quarter 2?

Q2:

2025 Slot 1

Games & Tournaments

Hard

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu.

At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3.

The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher.

  1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4.
  2. Dolly and Falguni were the only employees who got the same rating across all the quarters.
  3. The following is known about ratings given by Lalu:

• Bunty received a rating of 1 in Quarter 2.

• Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

How many employees changed groups more than once up to the beginning of Quarter 4?

Q3:

2025 Slot 1

Games & Tournaments

Hard

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu.

At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3.

The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher.

  1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4.
  2. Dolly and Falguni were the only employees who got the same rating across all the quarters.
  3. The following is known about ratings given by Lalu:

• Bunty received a rating of 1 in Quarter 2.

• Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

What was Bunty’s score at the end of Quarter 3?

Q4:

2025 Slot 1

Games & Tournaments

Hard

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu.

At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3.

The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher.

  1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4.
  2. Dolly and Falguni were the only employees who got the same rating across all the quarters.
  3. The following is known about ratings given by Lalu:

• Bunty received a rating of 1 in Quarter 2.

• Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

For how many employees can the scores at the end of Quarter 3 be determined with certainty?

Q5:

2025 Slot 1

Games & Tournaments

Hard

At InnovateX, six employees, Asha, Bunty, Chintu, Dolly, Eklavya, and Falguni, were split into two groups of three each: Elite led by Manager Kuku, and Novice led by Manager Lalu.

At the end of each quarter, Kuku and Lalu handed out ratings to all members in their respective groups. In each group, each employee received a distinct integer rating from 1 to 3.

The score for an employee at the end of a quarter is defined as their cumulative rating from the beginning of the year. At the end of each quarter the employee in Novice with the highest score was promoted to Elite, and the employee in Elite with the minimum score was demoted to Novice. If there was a tie in scores, the employee with a higher rating in the latest quarter was ranked higher.

  1. Asha, Bunty, and Chintu were in Elite at the beginning of Quarter 1. All of them were in Novice at the beginning of Quarter 4.
  2. Dolly and Falguni were the only employees who got the same rating across all the quarters.
  3. The following is known about ratings given by Lalu:

• Bunty received a rating of 1 in Quarter 2.

• Asha and Dolly received ratings of 1 and 2, respectively, in Quarter 3.

Which of the following statements is/are NECESSARILY true?

I. Asha received a rating of 2 in Quarter 1.

II. Asha received a rating of 1 in Quarter 2.

Answer options
Option 3
Correct Answer
Explanation for 2025 Slot 1 DILR question 5

Q6:

CAT 2024 Slot 1

Games & Tournaments

Hard

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round.

The following additional facts are known about the schedule of games in the tournament.

  1. Each team played against a team from the other group in Round 8.
  1. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical.
  1. Team 4 played Team 6 in both Round 1 and Round 2.
  1. Team 1 played Team 5 ONLY once and that was in Round 2.
  1. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
  1. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

How many rounds were there in the tournament?

Q7:

CAT 2024 Slot 1

Games & Tournaments

Hard

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round.

The following additional facts are known about the schedule of games in the tournament.

  1. Each team played against a team from the other group in Round 8.
  1. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical.
  1. Team 4 played Team 6 in both Round 1 and Round 2.
  1. Team 1 played Team 5 ONLY once and that was in Round 2.
  1. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
  1. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

What is the number of the team that played Team 1 in Round 5?

Q8:

CAT 2024 Slot 1

Games & Tournaments

Hard

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round.

The following additional facts are known about the schedule of games in the tournament.

  1. Each team played against a team from the other group in Round 8.
  1. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical.
  1. Team 4 played Team 6 in both Round 1 and Round 2.
  1. Team 1 played Team 5 ONLY once and that was in Round 2.
  1. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
  1. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

Which team among the teams numbered 2, 3, 4, and 5 was not part of the same group?

Answer options
Option 2
Correct Answer
Explanation for CAT 2024 Slot 1 DILR question 8

Q9:

CAT 2024 Slot 1

Games & Tournaments

Hard

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round.

The following additional facts are known about the schedule of games in the tournament.

  1. Each team played against a team from the other group in Round 8.
  1. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical.
  1. Team 4 played Team 6 in both Round 1 and Round 2.
  1. Team 1 played Team 5 ONLY once and that was in Round 2.
  1. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
  1. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

What is the number of the team that played Team 1 in Round 7?

Q10:

CAT 2024 Slot 1

Games & Tournaments

Hard

The game of QUIET is played between two teams. Six teams, numbered 1, 2, 3, 4, 5, and 6, play in a QUIET tournament. These teams are divided equally into two groups. In the tournament, each team plays every other team in the same group only once, and each team in the other group exactly twice. The tournament has several rounds, each of which consists of a few games. Every team plays exactly one game in each round.

The following additional facts are known about the schedule of games in the tournament.

  1. Each team played against a team from the other group in Round 8.
  1. In Round 4 and Round 7, the match-ups, that is the pair of teams playing against each other, were identical. In Round 5 and Round 8, the match-ups were identical.
  1. Team 4 played Team 6 in both Round 1 and Round 2.
  1. Team 1 played Team 5 ONLY once and that was in Round 2.
  1. Team 3 played Team 4 in Round 3. Team 1 played Team 6 in Round 6.
  1. In Round 8, Team 3 played Team 6, while Team 2 played Team 5.

What is the number of the team that played Team 6 in Round 3?

Q11:

CAT 2022 Slot 3

Games & Tournaments

Hard

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game.

At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12.

It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.

What BEST can be said about the amount of money that Ritesh had with him at the end of Round 8?

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

Q12:

CAT 2022 Slot 3

Games & Tournaments

Hard

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game.

At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12.

It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.

What BEST can be said about the amount of money that Pulak had with him at the end of Round 6?

Answer options
Option 4
Correct Answer
Explanation for CAT 2022 Slot 3 DILR question 12

Q13:

CAT 2022 Slot 3

Games & Tournaments

Hard

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game.

At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12.

It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.

How much money (in Rs.) did Ritesh have at the end of Round 4?

Q14:

CAT 2022 Slot 3

Games & Tournaments

Hard

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game.

At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12.

It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.

How many games were played with a bet of Rs. 2?

Q15:

CAT 2022 Slot 3

Games & Tournaments

Hard

Pulak, Qasim, Ritesh, and Suresh participated in a tournament comprising of eight rounds. In each round, they formed two pairs, with each of them being in exactly one pair. The only restriction in the pairing was that the pairs would change in successive rounds. For example, if Pulak formed a pair with Qasim in the first round, then he would have to form a pair with Ritesh or Suresh in the second round. He would be free to pair with Qasim again in the third round. In each round, each pair decided whether to play the game in that round or not. If they decided not to play, then no money was exchanged between them. If they decided to play, they had to bet either Rs.1 or Rs.2 in that round. For example, if they chose to bet Rs.2, then the player winning the game got Rs.2 from the one losing the game.

At the beginning of the tournament, the players had Rs.10 each. The following table shows partial information about the amounts that the players had at the end of each of the eight rounds. It shows every time a player had Rs.10 at the end of a round, as well as every time, at the end of a round, a player had either the minimum or the maximum amount that he would have had across the eight rounds. For example, Suresh had Rs.10 at the end of Rounds 1, 3, and 8 and not after any of the other rounds. The maximum amount that he had at the end of any round was Rs.13 (at the end of Round 5), and the minimum amount he had at the end of any round was Rs.8 (at the end of Round 2). At the end of all other rounds, he must have had either Rs.9, Rs.11, or Rs.12.

It was also known that Pulak and Qasim had the same amount of money with them at the end of Round 4.

Which of the following pairings was made in Round 5?

Answer options
Option 1
Correct Answer
Explanation for CAT 2022 Slot 3 DILR question 15

Q16:

CAT 2021 Slot 2

Games & Tournaments

Easy

The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb.

Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final.

The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship.

It is known that:

  1. Chitra did not win the championship.
  1. Aruna did not play against Arif. Brij did not play against Brinda.
  1. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.

Who among the following was DEFINITELY NOT ranked first in his/her group?

Answer options
Option 3
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 16

Q17:

CAT 2021 Slot 2

Games & Tournaments

Easy

The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb.

Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final.

The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship.

It is known that:

  1. Chitra did not win the championship.
  1. Aruna did not play against Arif. Brij did not play against Brinda.
  1. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.

Which of the following pairs must have played against each other in the championship?

Answer options
Option 4
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 17

Q18:

CAT 2021 Slot 2

Games & Tournaments

Easy

The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb.

Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final.

The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship.

It is known that:

  1. Chitra did not win the championship.
  1. Aruna did not play against Arif. Brij did not play against Brinda.
  1. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.

Who won the championship?

Answer options
Option 3
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 18

Q19:

CAT 2021 Slot 2

Games & Tournaments

Easy

The game of Chango is a game where two people play against each other; one of them wins and the other loses, i.e., there are no drawn Chango games. 12 players participated in a Chango championship. They were divided into four groups: Group A consisted of Aruna, Azul, and Arif; Group B consisted of Brinda, Brij, and Biju; Group C consisted of Chitra, Chetan, and Chhavi; and Group D consisted of Dipen, Donna, and Deb.

Players within each group had a distinct rank going into the championship. The players have NOT been listed necessarily according to their ranks. In the group stage of the game, the second and third ranked players play against each other, and the winner of that game plays against the first ranked player of the group. The winner of this second game is considered as the winner of the group and enters a semi-final.

The winners from Groups A and B play against each other in one semi-final, while the winners from Groups C and D play against each other in the other semi-final. The winners of the two semi-finals play against each other in the final to decide the winner of the championship.

It is known that:

  1. Chitra did not win the championship.
  1. Aruna did not play against Arif. Brij did not play against Brinda.
  1. Aruna, Biju, Chitra, and Dipen played three games each, Azul and Chetan played two games each, and the remaining players played one game each.

Who among the following did NOT play against Chitra in the championship?

Answer options
Option 1
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 19

Q20:

CAT 2021 Slot 2

Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 11 to 9. If the total of the four rating points is 2525 or more, then Ravi gets a bonus of Rs. 2020 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. 3030 or Rs. 5050.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. 120120 in bonus and tips. He did not get both a bonus and a tip from the same customer.

The following additional facts are also known.

  1. In Timeliness, Ravi received a total of 2121 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
  1. Ravi received distinct rating points in Packaging from the four customers adding up to 2929 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 2626 points.
  1. Chirag gave the same rating points for Packaging and Hygiene.
  1. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
  1. Everyone rated Ravi between 55 and 77 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
  1. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

What was the minimum rating that Ravi received from any customer in any parameter?

Q21:

CAT 2021 Slot 2

Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 11 to 9. If the total of the four rating points is 2525 or more, then Ravi gets a bonus of Rs. 2020 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. 3030 or Rs. 5050.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. 120120 in bonus and tips. He did not get both a bonus and a tip from the same customer.

The following additional facts are also known.

  1. In Timeliness, Ravi received a total of 2121 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
  1. Ravi received distinct rating points in Packaging from the four customers adding up to 2929 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 2626 points.
  1. Chirag gave the same rating points for Packaging and Hygiene.
  1. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
  1. Everyone rated Ravi between 55 and 77 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
  1. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

The COMPLETE list of customers who gave the maximum total rating points to Ravi is

Answer options
Option 4
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 21

Q22:

CAT 2021 Slot 2

Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 11 to 9. If the total of the four rating points is 2525 or more, then Ravi gets a bonus of Rs. 2020 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. 3030 or Rs. 5050.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. 120120 in bonus and tips. He did not get both a bonus and a tip from the same customer.

The following additional facts are also known.

  1. In Timeliness, Ravi received a total of 2121 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
  1. Ravi received distinct rating points in Packaging from the four customers adding up to 2929 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 2626 points.
  1. Chirag gave the same rating points for Packaging and Hygiene.
  1. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
  1. Everyone rated Ravi between 55 and 77 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
  1. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

What rating did Atal give on Timeliness?

Q23:

CAT 2021 Slot 2

Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 11 to 9. If the total of the four rating points is 2525 or more, then Ravi gets a bonus of Rs. 2020 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. 3030 or Rs. 5050.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. 120120 in bonus and tips. He did not get both a bonus and a tip from the same customer.

The following additional facts are also known.

  1. In Timeliness, Ravi received a total of 2121 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
  1. Ravi received distinct rating points in Packaging from the four customers adding up to 2929 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 2626 points.
  1. Chirag gave the same rating points for Packaging and Hygiene.
  1. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
  1. Everyone rated Ravi between 55 and 77 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
  1. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

What BEST can be concluded about the tip amount given by Deepak?

Answer options
Option 3
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 23

Q24:

CAT 2021 Slot 2

Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 11 to 9. If the total of the four rating points is 2525 or more, then Ravi gets a bonus of Rs. 2020 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. 3030 or Rs. 5050.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. 120120 in bonus and tips. He did not get both a bonus and a tip from the same customer.

The following additional facts are also known.

  1. In Timeliness, Ravi received a total of 2121 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
  1. Ravi received distinct rating points in Packaging from the four customers adding up to 2929 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 2626 points.
  1. Chirag gave the same rating points for Packaging and Hygiene.
  1. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
  1. Everyone rated Ravi between 55 and 77 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
  1. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

In which parameter did Atal give the maximum rating points to Ravi?

Answer options
Option 4
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 24

Q25:

CAT 2021 Slot 2

Games & Tournaments

Medium

Ravi works in an online food-delivery company. After each delivery, customers rate Ravi on each of four parameters Behaviour, Packaging, Hygiene, and Timeliness, on a scale from 11 to 9. If the total of the four rating points is 2525 or more, then Ravi gets a bonus of Rs. 2020 for that delivery. Additionally, a customer may or may not give Ravi a tip. If the customer gives a tip, it is either Rs. 3030 or Rs. 5050.

One day, Ravi made four deliveries - one to each of Atal, Bihari, Chirag and Deepak, and received a total of Rs. 120120 in bonus and tips. He did not get both a bonus and a tip from the same customer.

The following additional facts are also known.

  1. In Timeliness, Ravi received a total of 2121 points, and three of the customers gave him the same rating points in this parameter. Atal gave higher rating points than Bihari and Chirag in this parameter.
  1. Ravi received distinct rating points in Packaging from the four customers adding up to 2929 points. Similarly, Ravi received distinct rating points in Hygiene from the four customers adding up to 2626 points.
  1. Chirag gave the same rating points for Packaging and Hygiene.
  1. Among the four customers, Bihari gave the highest rating points in Packaging, and Chirag gave the highest rating points in Hygiene.
  1. Everyone rated Ravi between 55 and 77 in Behaviour. Unique maximum and minimum ratings in this parameter were given by Atal and Deepak respectively.
  1. If the customers are ranked based on ratings given by them in individual parameters, then Atal's rank based on Packaging is the same as that based on Hygiene. This is also true for Deepak.

What rating did Deepak give on Packaging?

Answer options
Option 1
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 25

Q26:

CAT 2021 Slot 2

Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle.

The following table shows how each person values each object.

The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle.

For example, hypothetically suppose Amar's bundle consists of 0101 and 0202, and Barat's bundle consists of 0303 and 0404. Then Amar values his own bundle at 4+9=134+9=13 and Barat's bundle at 99

+3=12+3=12. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at 7+5=127+5=12 and Amar's bundle at 5+9=145+9=14. Hence Barat envies Amar.

The following facts are known about the actual distribution of the objects among the five people.

  1. If someone's value for an object is 1010, then she/he received that object.
  2. Objects o1, o2, and o3 were given to three different people.
  3. Objects 0101 and 0808 were given to different people.
  4. Three people value their own bundles at 1616. No one values her/his own bundle at a number higher than 1616.
  5. Disha values her own bundle at an odd number. All others value their own bundles at an even number.
  6. Some people who value their own bundles less than 1616 envy some other people who value their own bundle at 1616. No one else envies others.

What BEST can be said about object o8?

Answer options
Option 2
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 26

Q27:

CAT 2021 Slot 2

Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle.

The following table shows how each person values each object.

The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle.

For example, hypothetically suppose Amar's bundle consists of 0101 and 0202, and Barat's bundle consists of 0303 and 0404. Then Amar values his own bundle at 4+9=134+9=13 and Barat's bundle at 99

+3=12+3=12. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at 7+5=127+5=12 and Amar's bundle at 5+9=145+9=14. Hence Barat envies Amar.

The following facts are known about the actual distribution of the objects among the five people.

  1. If someone's value for an object is 1010, then she/he received that object.
  2. Objects o1, o2, and o3 were given to three different people.
  3. Objects 0101 and 0808 were given to different people.
  4. Three people value their own bundles at 1616. No one values her/his own bundle at a number higher than 1616.
  5. Disha values her own bundle at an odd number. All others value their own bundles at an even number.
  6. Some people who value their own bundles less than 1616 envy some other people who value their own bundle at 1616. No one else envies others.

Who among the following envies someone else?

Answer options
Option 4
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 27

Q28:

CAT 2021 Slot 2

Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle.

The following table shows how each person values each object.

The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle.

For example, hypothetically suppose Amar's bundle consists of 0101 and 0202, and Barat's bundle consists of 0303 and 0404. Then Amar values his own bundle at 4+9=134+9=13 and Barat's bundle at 99

+3=12+3=12. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at 7+5=127+5=12 and Amar's bundle at 5+9=145+9=14. Hence Barat envies Amar.

The following facts are known about the actual distribution of the objects among the five people.

  1. If someone's value for an object is 1010, then she/he received that object.
  2. Objects o1, o2, and o3 were given to three different people.
  3. Objects 0101 and 0808 were given to different people.
  4. Three people value their own bundles at 1616. No one values her/his own bundle at a number higher than 1616.
  5. Disha values her own bundle at an odd number. All others value their own bundles at an even number.
  6. Some people who value their own bundles less than 1616 envy some other people who value their own bundle at 1616. No one else envies others.

What is Amar's value for his own bundle?

Q29:

CAT 2021 Slot 2

Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle.

The following table shows how each person values each object.

The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle.

For example, hypothetically suppose Amar's bundle consists of 0101 and 0202, and Barat's bundle consists of 0303 and 0404. Then Amar values his own bundle at 4+9=134+9=13 and Barat's bundle at 99

+3=12+3=12. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at 7+5=127+5=12 and Amar's bundle at 5+9=145+9=14. Hence Barat envies Amar.

The following facts are known about the actual distribution of the objects among the five people.

  1. If someone's value for an object is 1010, then she/he received that object.
  2. Objects o1, o2, and o3 were given to three different people.
  3. Objects 0101 and 0808 were given to different people.
  4. Three people value their own bundles at 1616. No one values her/his own bundle at a number higher than 1616.
  5. Disha values her own bundle at an odd number. All others value their own bundles at an even number.
  6. Some people who value their own bundles less than 1616 envy some other people who value their own bundle at 1616. No one else envies others.

Object o4 was given to

Answer options
Option 4
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 29

Q30:

CAT 2021 Slot 2

Games & Tournaments

Hard

Ten objects o1, o2, …, o10 were distributed among Amar, Barat, Charles, Disha, and Elise. Each item went to exactly one person. Each person got exactly two of the items, and this pair of objects is called her/his bundle.

The following table shows how each person values each object.

The value of any bundle by a person is the sum of that person's values of the objects in that bundle. A person X envies another person Y if X values Y 's bundle more than X 's own bundle.

For example, hypothetically suppose Amar's bundle consists of 0101 and 0202, and Barat's bundle consists of 0303 and 0404. Then Amar values his own bundle at 4+9=134+9=13 and Barat's bundle at 99

+3=12+3=12. Hence Amar does not envy Barat. On the other hand, Barat values his own bundle at 7+5=127+5=12 and Amar's bundle at 5+9=145+9=14. Hence Barat envies Amar.

The following facts are known about the actual distribution of the objects among the five people.

  1. If someone's value for an object is 1010, then she/he received that object.
  2. Objects o1, o2, and o3 were given to three different people.
  3. Objects 0101 and 0808 were given to different people.
  4. Three people value their own bundles at 1616. No one values her/his own bundle at a number higher than 1616.
  5. Disha values her own bundle at an odd number. All others value their own bundles at an even number.
  6. Some people who value their own bundles less than 1616 envy some other people who value their own bundle at 1616. No one else envies others.

Object o5 was given to

Answer options
Option 2
Correct Answer
Explanation for CAT 2021 Slot 2 DILR question 30