CAT 2025 Slot 1 DILR Set 2 Q6–Q10

A DILR caselet from the Data Interpretation & Logical Reasoning (DILR) section of CAT 2025 Slot 1, with 5 questions (Quant-based Puzzles). Answers are CAT's official key.

The set

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.

Question 6

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

TITA: type in the answer. There are no options and no negative marking.

Answer: 4 Quant-based Puzzles TITA

Solution

  1. All of A, B, C start in Elite and are in Novice by Q4, with only 3 swaps (ends of Q1, Q2, Q3). So each swap demotes one of A/B/C and promotes one of D/E/F.
  2. Bunty is rated by Lalu in Q2, so he was demoted after Q1. Asha is in Novice in Q3, so she was demoted after Q2, and Chintu after Q3. Dolly is in Novice in Q3, so she was promoted after Q3, and her constant rating is 2.
  3. Q1 Novice: the one promoted got 3 and Dolly got 2, so the other got 1. That other was promoted after Q2, so its rating changed. Hence Falguni (constant) was promoted after Q1 with 3s throughout, and Eklavya got 1 in Q1 and 3 in Q2 (4 = Dolly's 4, and he wins the tiebreak).
  4. Elite: Bunty 1 in Q1. For Asha to be the lowest after Q2 among Asha, Chintu and Falguni, Asha must get 1 in Q2, with (Asha, Chintu) = (2,1),(3,2) or (3,1),(2,2) over Q1 and Q2. After Q2 Chintu has 5 or 4 and Eklavya 4. In Q3 (Elite: Chintu, Eklavya, Falguni with 3), Chintu must get 1 and Eklavya 2: otherwise Eklavya would be lowest. In Novice, Asha 1, Dolly 2, Bunty 3.
  5. Eklavya: \(1 + 3 = 4\) at the end of Q2.

Question 7

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

TITA: type in the answer. There are no options and no negative marking.

Answer: 0 Quant-based Puzzles TITA

Solution

  1. All of A, B, C start in Elite and are in Novice by Q4, with only 3 swaps (ends of Q1, Q2, Q3). So each swap demotes one of A/B/C and promotes one of D/E/F.
  2. Bunty is rated by Lalu in Q2, so he was demoted after Q1. Asha is in Novice in Q3, so she was demoted after Q2, and Chintu after Q3. Dolly is in Novice in Q3, so she was promoted after Q3, and her constant rating is 2.
  3. Q1 Novice: the one promoted got 3 and Dolly got 2, so the other got 1. That other was promoted after Q2, so its rating changed. Hence Falguni (constant) was promoted after Q1 with 3s throughout, and Eklavya got 1 in Q1 and 3 in Q2 (4 = Dolly's 4, and he wins the tiebreak).
  4. Elite: Bunty 1 in Q1. For Asha to be the lowest after Q2 among Asha, Chintu and Falguni, Asha must get 1 in Q2, with (Asha, Chintu) = (2,1),(3,2) or (3,1),(2,2) over Q1 and Q2. After Q2 Chintu has 5 or 4 and Eklavya 4. In Q3 (Elite: Chintu, Eklavya, Falguni with 3), Chintu must get 1 and Eklavya 2: otherwise Eklavya would be lowest. In Novice, Asha 1, Dolly 2, Bunty 3.
  5. Each of A, B, C was demoted exactly once and each of D, E, F promoted exactly once, so nobody changed groups more than once: 0.

Question 8

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

TITA: type in the answer. There are no options and no negative marking.

Answer: 5 Quant-based Puzzles TITA

Solution

  1. All of A, B, C start in Elite and are in Novice by Q4, with only 3 swaps (ends of Q1, Q2, Q3). So each swap demotes one of A/B/C and promotes one of D/E/F.
  2. Bunty is rated by Lalu in Q2, so he was demoted after Q1. Asha is in Novice in Q3, so she was demoted after Q2, and Chintu after Q3. Dolly is in Novice in Q3, so she was promoted after Q3, and her constant rating is 2.
  3. Q1 Novice: the one promoted got 3 and Dolly got 2, so the other got 1. That other was promoted after Q2, so its rating changed. Hence Falguni (constant) was promoted after Q1 with 3s throughout, and Eklavya got 1 in Q1 and 3 in Q2 (4 = Dolly's 4, and he wins the tiebreak).
  4. Elite: Bunty 1 in Q1. For Asha to be the lowest after Q2 among Asha, Chintu and Falguni, Asha must get 1 in Q2, with (Asha, Chintu) = (2,1),(3,2) or (3,1),(2,2) over Q1 and Q2. After Q2 Chintu has 5 or 4 and Eklavya 4. In Q3 (Elite: Chintu, Eklavya, Falguni with 3), Chintu must get 1 and Eklavya 2: otherwise Eklavya would be lowest. In Novice, Asha 1, Dolly 2, Bunty 3.
  5. Bunty: \(1 + 1 + 3 = 5\).

Question 9

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

TITA: type in the answer. There are no options and no negative marking.

Answer: 4 Quant-based Puzzles TITA

Solution

  1. All of A, B, C start in Elite and are in Novice by Q4, with only 3 swaps (ends of Q1, Q2, Q3). So each swap demotes one of A/B/C and promotes one of D/E/F.
  2. Bunty is rated by Lalu in Q2, so he was demoted after Q1. Asha is in Novice in Q3, so she was demoted after Q2, and Chintu after Q3. Dolly is in Novice in Q3, so she was promoted after Q3, and her constant rating is 2.
  3. Q1 Novice: the one promoted got 3 and Dolly got 2, so the other got 1. That other was promoted after Q2, so its rating changed. Hence Falguni (constant) was promoted after Q1 with 3s throughout, and Eklavya got 1 in Q1 and 3 in Q2 (4 = Dolly's 4, and he wins the tiebreak).
  4. Elite: Bunty 1 in Q1. For Asha to be the lowest after Q2 among Asha, Chintu and Falguni, Asha must get 1 in Q2, with (Asha, Chintu) = (2,1),(3,2) or (3,1),(2,2) over Q1 and Q2. After Q2 Chintu has 5 or 4 and Eklavya 4. In Q3 (Elite: Chintu, Eklavya, Falguni with 3), Chintu must get 1 and Eklavya 2: otherwise Eklavya would be lowest. In Novice, Asha 1, Dolly 2, Bunty 3.
  5. End of Q3: Bunty \(1+1+3 = 5\), Dolly 6, Eklavya \(1+3+2 = 6\), Falguni 9 in every case.
  6. Asha is \(2+1+1 = 4\) or \(3+1+1 = 5\), and Chintu is \(3+2+1 = 6\) or \(2+2+1 = 5\), depending on the Q1/Q2 case. So only 4 scores are certain.

Question 10

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.
  1. A
    Only I
  2. B
    Both I and II
  3. C
    Neither I nor II
  4. D
    Only II

Answer: (D) Only II Quant-based Puzzles MCQ

Solution

  1. All of A, B, C start in Elite and are in Novice by Q4, with only 3 swaps (ends of Q1, Q2, Q3). So each swap demotes one of A/B/C and promotes one of D/E/F.
  2. Bunty is rated by Lalu in Q2, so he was demoted after Q1. Asha is in Novice in Q3, so she was demoted after Q2, and Chintu after Q3. Dolly is in Novice in Q3, so she was promoted after Q3, and her constant rating is 2.
  3. Q1 Novice: the one promoted got 3 and Dolly got 2, so the other got 1. That other was promoted after Q2, so its rating changed. Hence Falguni (constant) was promoted after Q1 with 3s throughout, and Eklavya got 1 in Q1 and 3 in Q2 (4 = Dolly's 4, and he wins the tiebreak).
  4. Elite: Bunty 1 in Q1. For Asha to be the lowest after Q2 among Asha, Chintu and Falguni, Asha must get 1 in Q2, with (Asha, Chintu) = (2,1),(3,2) or (3,1),(2,2) over Q1 and Q2. After Q2 Chintu has 5 or 4 and Eklavya 4. In Q3 (Elite: Chintu, Eklavya, Falguni with 3), Chintu must get 1 and Eklavya 2: otherwise Eklavya would be lowest. In Novice, Asha 1, Dolly 2, Bunty 3.
  5. Asha's Q2 rating is 1 in every case (II is true), but her Q1 rating can be 2 or 3 (I is not necessary). Only II.

Same concept in other years

See every question on Managers/coaches give ratings to members of their groups; deduce assignments.

More Quant-based Puzzles questions from CAT

All 127 Quant-based Puzzles questions asked since 2017.