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CAT 2025 Slot 2 DILR · Set 3 of 5Logical ReasoningHard DifficultyQ10–Q14 · 4 MCQ + 1 TITA

CAT 2025 Slot 2 DILR Set 3: Arrangements (5 Questions) with Solutions

The Arrangements set from the official CAT 2025 Slot 2 DILR paper: the caselet, all 5 questions, the official answer key and a step-by-step solution for each. 100% free, no sign-up.

The Set: Read the Caselet First

CAT 2025 Slot 2 DILR · Questions 10–14
Ananya Raga, Bhaskar Tala, Charu Veena, and Devendra Sur are four musicians. Each of them started and completed their training as students under each of three Gurus - Pandit Meghnath, Ustad Samiran, and Acharya Raghunath between 2013 and 2024, including both the years. Each Guru trains any student for consecutive years only, for a span of 2, 3, or 4 years, with each Guru having a different span. During some of these years, a student may not have trained under these Gurus; however, they never trained under multiple Gurus in the same year. In none of these years, any of these Gurus trained more than two of these students at the same time. When two students train under the same Guru at the same time, they are referred to as Gurubhai, irrespective of their gender. The following additional facts are known.
1
Ustad Samiran never trained more than one of these students in the same year.
2
Acharya Raghunath did not train any of these students during 2015-2018, as well as during 2021-24.
3
Ananya and Devendra were never Gurubhai; neither were Bhaskar and Charu. All other pairs of musicians were Gurubhai for exactly 2 years.
4
In 2013, Ananya and Bhaskar started their trainings under Pandit Meghnath and under Ustad Samiran, respectively.

In the exam this set competed with 4 others for 40 minutes. Budget about 8 minutes if you attempt it.

Q10. Arrangements

MCQ · +3 / −1Solve on its own page
In which of the following years were Ananya and Bhaskar Gurubhai?
  1. A) 2020
  2. B) 2014
  3. C) 2018
  4. D) 2021
Correct Answer
A) 2020
Step-by-step solution
📌 Core Concept
Fix each Guru's span from the capacity limits, then place the students year by year.
🔢 Step-by-Step Solution
1
Clue 2 leaves Raghunath only 2013-14 and 2019-20. Only a 2-year span fits inside these windows, so Raghunath's span is 2. With at most 2 students at a time, two students train in 2013-14 and two in 2019-20.
2
Clue 4 puts Ananya (Meghnath) and Bhaskar (Samiran) in 2013 elsewhere. So Charu and Devendra take Raghunath in 2013-14, and Ananya and Bhaskar take Raghunath in 2019-20.
3
Clue 1 means Samiran has one student per year. A 4-year span would need 16 years, so Samiran's span is 3 and Meghnath's is 4. Samiran's blocks are then 2013-15, 2016-18, 2019-21 and 2022-24.
4
Ananya has Meghnath in 2013-16 and Raghunath in 2019-20. Her only free Samiran block is 2022-24.
5
Ananya and Bhaskar were both with Raghunath in 2019-20, so they were Gurubhai in 2019 and 2020. The other options do not match. In 2014 Ananya was with Meghnath and Bhaskar with Samiran. In 2018 and 2021 Ananya was not training at all, since her Meghnath span ended in 2016 and her next Guru started in 2019 and 2022.
Why Not the Others
2014: Ananya was with Meghnath and Bhaskar with Samiran.
2018: Ananya was not training.
2021: Ananya was not training.
Correct Answer: A

Q11. Arrangements

MCQ · +3 / −1
In which year did Charu begin her training under Pandit Meghnath?
  1. A) 2015
  2. B) 2021
  3. C) 2017
  4. D) 2016
Correct Answer
A) 2015
Step-by-step solution
📌 Core Concept
Spans are forced by capacity limits, and the Gurubhai conditions then fix each student's order of Gurus.
🔢 Step-by-Step Solution
1
Raghunath has span 2 (only 2013-14 and 2019-20 are available). Charu and Devendra train with him in 2013-14, and Ananya and Bhaskar in 2019-20.
2
Samiran trains one student at a time, so his span is 3 and he covers every year in blocks 2013-15, 2016-18, 2019-21 and 2022-24. Meghnath's span is therefore 4.
3
Ananya has Meghnath 2013-16, Raghunath 2019-20, and so Samiran 2022-24. Bhaskar has Samiran 2013-15 and Raghunath 2019-20. His only free 4-year Meghnath stretch is 2021-24.
4
Charu and Devendra hold the remaining Samiran blocks, 2016-18 and 2019-21. The one with Samiran in 2019-21 can only fit Meghnath in 2015-18, between Raghunath and Samiran.
5
That 2015-18 stretch overlaps Ananya's Meghnath years in 2015-16, giving 2 years as Gurubhai. Clue 3 says Ananya and Devendra are never Gurubhai, so this student is Charu (Ananya-Charu must be 2 years).
6
Charu's order is Raghunath 2013-14, Meghnath 2015-18, Samiran 2019-21. She began Meghnath in 2015.
Quick Check
Charu's Meghnath years 2015-18 overlap Ananya's only in 2015-16, which is exactly 2 years.
Correct Answer: A

Q12. Arrangements

MCQ · +3 / −1Solve on its own page
In which of the following years were Bhaskar and Devendra Gurubhai?
  1. A) 2015
  2. B) 2018
  3. C) 2022
  4. D) 2020
Correct Answer
C) 2022
Step-by-step solution
📌 Core Concept
Build the complete timeline, then read off the overlap of Bhaskar and Devendra.
🔢 Step-by-Step Solution
1
Raghunath has span 2, Samiran span 3 and Meghnath span 4. Charu and Devendra train with Raghunath in 2013-14, and Ananya and Bhaskar in 2019-20.
2
Ananya: Meghnath 2013-16, Raghunath 2019-20, Samiran 2022-24. Bhaskar: Samiran 2013-15, Raghunath 2019-20, Meghnath 2021-24.
3
Charu: Raghunath 2013-14, Meghnath 2015-18, Samiran 2019-21 (this gives her the 2 years with Ananya). Devendra therefore has Samiran 2016-18.
4
Devendra's Meghnath span must start after 2018 and give exactly 2 years with Bhaskar (Meghnath 2021-24, clue 3). Starting 2019 gives 2021-22 as the overlap. Starting 2020 gives 3 years, and 2021 gives 4. So Devendra has Meghnath 2019-22.
5
Bhaskar and Devendra were Gurubhai in 2021 and 2022. Among the options, only 2022 appears.
Why Not the Others
2015: Devendra was not training.
2018: Bhaskar was not training.
2020: Bhaskar was with Raghunath and Devendra with Meghnath.
Correct Answer: C

Q13. Arrangements

MCQ · +3 / −1
Which of the following statements is TRUE?
  1. A) Charu was training under Ustad Samiran in 2018.
  2. B) Ananya was training under Ustad Samiran in 2018.
  3. C) Ananya was training under Ustad Samiran in 2015.
  4. D) Charu was training under Ustad Samiran in 2019.
Correct Answer
D) Charu was training under Ustad Samiran in 2019.
Step-by-step solution
📌 Core Concept
With the full timeline fixed, each statement can be checked against it.
🔢 Step-by-Step Solution
1
Raghunath trains only in 2013-14 and 2019-20, with span 2. Samiran trains one student per year, so his span is 3 and Meghnath's is 4.
2
Ananya: Meghnath 2013-16, Raghunath 2019-20, Samiran 2022-24.
3
Bhaskar: Samiran 2013-15, Raghunath 2019-20, Meghnath 2021-24.
4
Charu: Raghunath 2013-14, Meghnath 2015-18, Samiran 2019-21. Devendra: Raghunath 2013-14, Samiran 2016-18, Meghnath 2019-22.
5
Checking the options: Charu was with Meghnath in 2018, and Ananya was not with Samiran in 2018 or 2015 (her Samiran years are 2022-24). Charu did train under Samiran in 2019, as the first year of her 2019-21 block.
Why Not the Others
A: Charu was with Meghnath in 2018.
B: Ananya was not training in 2018.
C: Ananya was with Meghnath in 2015.
Correct Answer: D

Q14. Arrangements

TITA · +3 / 0
In how many of the years between 2013-24, were only two of these four musicians training under these three Gurus?
Correct Answer
4
Step-by-step solution
📌 Core Concept
Build the full year-by-year timeline, then count the years in which exactly two musicians were training.
🔢 Step-by-Step Solution
1
Raghunath has span 2 (2013-14 and 2019-20 only), Samiran span 3 (one student at a time, covering all 12 years) and Meghnath span 4.
2
Ananya: Meghnath 2013-16, Raghunath 2019-20, Samiran 2022-24. Bhaskar: Samiran 2013-15, Raghunath 2019-20, Meghnath 2021-24.
3
Charu: Raghunath 2013-14, Meghnath 2015-18, Samiran 2019-21. Devendra: Raghunath 2013-14, Samiran 2016-18, Meghnath 2019-22.
4
Count the trainees in each year:
2013, 2014, 2019, 2020: all four, which gives 4.
2015: Ananya, Bhaskar, Charu, which gives 3.
2016: Ananya, Charu, Devendra, which gives 3.
2017, 2018: Charu and Devendra only, which gives 2.
2021: Bhaskar, Charu, Devendra, which gives 3.
2022: Ananya, Bhaskar, Devendra, which gives 3.
2023, 2024: Ananya and Bhaskar only, which gives 2.
5
Exactly two musicians were training in 2017, 2018, 2023 and 2024, which is 4 years.
Quick Check
Total training-years are 4×9=364 \times 9 = 36. The yearly counts are 4+4+3+3+2+2+4+4+3+3+2+2 = 36.
Correct Answer: 4
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CAT 2025 Slot 2 DILR at a Glance

Sets in this section5
Questions in this section22
Section time40 minutes
Convenor IIMIIM Kozhikode

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