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CAT 2025 Slot 1 DILR · Set 4 of 5Logical ReasoningHard DifficultyQ14–Q18 · 1 MCQ + 4 TITA

CAT 2025 Slot 1 DILR Set 4: Games & Tournaments (5 Questions) with Solutions

The Games & Tournaments set from the official CAT 2025 Slot 1 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 1 DILR · Questions 14–18
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.

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

Q14. Games & Tournaments

TITA · +3 / 0
What was Eklavya’s score at the end of Quarter 2?
Correct Answer
4
Step-by-step solution
📌 Core Concept
Exactly one swap happens at the end of each of Q1, Q2 and Q3, so the group movements and the rating clues can be matched quarter by quarter.
🔢 Step-by-Step Solution
1
Elite at the start of Q4 must be Dolly, Eklavya and Falguni, because Asha, Bunty and Chintu are all in Novice. Three swaps are available, so each swap sends one of Asha, Bunty or Chintu down and brings one of Dolly, Eklavya or Falguni up.
2
Lalu rated Bunty in Q2, so Bunty was demoted after Q1. Lalu rated Asha and Dolly in Q3, so Asha was demoted after Q2 and Dolly is still in Novice in Q3. Dolly is therefore the last one promoted, after Q3, and her constant rating is 2 (given for Q3).
3
In Q1 the Novice ratings are Dolly 2, and Eklavya and Falguni have 1 and 3 in some order. The Novice member with the highest Q1 score, that is the rating 3, is promoted.
4
Suppose Eklavya got 3 in Q1. Then Falguni got 1, stays in Novice in Q2, and keeps rating 1. That clashes with Bunty's 1 in Q2. So Falguni has 3 in every quarter and is promoted after Q1, and Eklavya got 1 in Q1.
5
In Q2 the Novice group is Bunty 1, Dolly 2, so Eklavya got 3.
6
Eklavya's score at the end of Q2 is 1 + 3 = 4.
Quick Check
Q2 Novice scores are Bunty 2, Dolly 4, Eklavya 4. Eklavya wins the tie on the higher latest rating (3 against 2) and is promoted, as the Q3 grouping requires.
Correct Answer: 4

Q15. Games & Tournaments

TITA · +3 / 0
How many employees changed groups more than once up to the beginning of Quarter 4?
Correct Answer
0
Step-by-step solution
📌 Core Concept
The starting and ending group compositions limit how many swaps are possible, and that fixes each person's moves.
🔢 Step-by-Step Solution
1
Asha, Bunty and Chintu start in Elite. At the start of Q4 all three are in Novice, so Elite then consists of Dolly, Eklavya and Falguni.
2
Only one promotion and one demotion occur at the end of each quarter. Up to the start of Q4 that is three swaps (end of Q1, Q2 and Q3).
3
Moving all three of Asha, Bunty and Chintu down and all three of Dolly, Eklavya and Falguni up needs at least 3 demotions and 3 promotions. Three swaps give exactly that, so every swap must be a fresh demotion of one of Asha, Bunty or Chintu paired with a fresh promotion of one of Dolly, Eklavya or Falguni.
4
No swap can move a person back. Each of the six employees therefore changes group exactly once.
5
The number of employees who changed groups more than once is 0.
Quick Check
The clues fit this. Bunty goes down after Q1, Asha after Q2 and Chintu after Q3, and the three newcomers come up in the same three swaps.
Correct Answer: 0

Q16. Games & Tournaments

TITA · +3 / 0
What was Bunty’s score at the end of Quarter 3?
Correct Answer
5
Step-by-step solution
📌 Core Concept
Bunty's three ratings follow from his demotion timing and Lalu's Q3 ratings.
🔢 Step-by-Step Solution
1
Lalu rated Bunty in Q2, so Bunty was in Novice in Q2. He was therefore demoted after Q1. Each of Asha, Bunty and Chintu moves only once, so Bunty stays in Novice in Q3.
2
Bunty was demoted because he had the minimum Elite score after Q1. Q1 scores are just the Q1 ratings, so his Q1 rating was 1.
3
The Q2 rating of 1 is given.
4
In Q3 the Novice group has Asha (rating 1), Dolly (rating 2) and Bunty. The ratings are distinct values from 1 to 3, so Bunty got 3.
5
Bunty's score at the end of Q3 is 1 + 1 + 3 = 5.
Correct Answer: 5

Q17. Games & Tournaments

TITA · +3 / 0
For how many employees can the scores at the end of Quarter 3 be determined with certainty?
Correct Answer
4
Step-by-step solution
📌 Core Concept
Find the scores of all six employees at the end of Q3 and count those that do not depend on an open choice.
🔢 Step-by-Step Solution
1
From the earlier deductions, Falguni got 3 in every quarter, Dolly got 2 in every quarter, and Eklavya got 1 in Q1 and 3 in Q2. Bunty got 1, 1 and 3. Asha got 1 in Q2 and 1 in Q3.
2
Dolly's score is 2 + 2 + 2 = 6.
3
Falguni's score is 3 + 3 + 3 = 9.
4
Bunty's score is 1 + 1 + 3 = 5.
5
In Q1 Asha and Chintu got 2 and 3 in some order. The Q2 clue and Asha's demotion after Q2 leave two possibilities. Either Asha has 2 in Q1 and Chintu has 3 in Q1 and 2 in Q2, or Asha has 3 in Q1 and Chintu has 2 in Q1 and 2 in Q2. Asha's Q2 rating is 1 either way.
6
Chintu is demoted after Q3 as the lowest Elite score. In Q3, Chintu and Eklavya share ratings 1 and 2, since Falguni has 3. If Chintu got 2, Eklavya would have the lower score and would be demoted instead, which is not allowed. So Chintu got 1 and Eklavya got 2 in Q3. Eklavya's score is 1 + 3 + 2 = 6.
7
Asha's score (4 or 5) and Chintu's score (6 or 5, depending on the Q1 split) cannot be fixed. The other four are fixed: Bunty 5, Dolly 6, Eklavya 6, Falguni 9.
Correct Answer: 4

Q18. Games & Tournaments

MCQ · +3 / −1
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) Neither I nor II
  3. C) Only II
  4. D) Both I and II
Correct Answer
C) Only II
Step-by-step solution
📌 Core Concept
Track who moves between Elite and Novice after each quarter, then use the score and tie-break rules to fix the ratings. Check each statement against every arrangement that survives.
🔢 Step-by-Step Solution
1
Asha, Bunty and Chintu start in Elite and all end in Novice. Dolly, Eklavya and Falguni must therefore all reach Elite by Quarter 4. There are exactly three swaps, so each swap sends one of A, B, C down and one of D, E, F up. Nobody moves twice.
2
Lalu rated Bunty in Quarter 2, so Bunty was already in Novice then. Bunty was demoted after Quarter 1. Lalu also rated Asha in Quarter 3, so Asha was demoted after Quarter 2. That leaves Chintu to be demoted after Quarter 3.
3
Lalu rated Dolly in Quarter 3, so Dolly was still in Novice. Dolly is promoted after Quarter 3. Her rating is 2 in Quarter 3 and, being constant, 2 in every quarter.
4
In Quarter 1, Bunty is the Elite minimum, so Bunty's Quarter 1 rating is 1. Asha and Chintu have 2 and 3 in some order. In Novice, Dolly has 2, so Eklavya and Falguni have 1 and 3. The Novice member with the highest score, who has 3, is promoted.
5
If Falguni had 1 in every quarter, she would stay in Novice and clash with Bunty's rating of 1 in Quarter 2. So Falguni has 3 throughout and is promoted after Quarter 1. Eklavya has 1 in Quarter 1 and 3 in Quarter 2, and is promoted after Quarter 2.
6
Quarter 2 Elite is Asha, Chintu and Falguni. Falguni has 3, so Asha and Chintu have 1 and 2. Asha must have the lowest score to be demoted.
Asha 2 then Chintu 1 means Q1+Q2 gives Asha 3+2=5 against Chintu 2+1=3. Chintu is lower, which is wrong.
Asha 3 then Chintu 2 gives 3+2=5 against 2+1=3, and Chintu is lower, which is wrong. The same happens with Asha 2 then Chintu 1: 2+2=4 against 3+1=4 is a tie, and Asha's latest rating of 2 is higher, so Chintu is demoted, which is wrong.
Asha 1 in Quarter 2 works both with Quarter 1 = 2 (score 3 against 5) and with Quarter 1 = 3 (tie at 4, with Asha's latest rating of 1 lower than Chintu's 2).
So Asha got 1 in Quarter 2 in every valid case, and Statement II is necessarily true.
7
Quarter 1 for Asha can be 2 or 3. Chintu is still the Elite minimum after Quarter 3 in both cases, so both arrangements stand. Statement I is therefore not necessarily true.
Quick Check
Only the Quarter 2 rating of 1 is the same in all valid arrangements.
Correct Answer: C
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CAT 2025 Slot 1 DILR at a Glance

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

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