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CAT 2025 Slot 3 · DILR · Logical Puzzles · easy

CAT 2025 Slot 3 DILR: A Token-Exchange Game

Four players — Aman, Bina, Chetan and Divya — play a token-exchange game. They start with 50, 30, 20 and 100 tokens respectively (total 200 tokens, which never changes). The game proceeds in rounds. In each round:
- The player currently holding the most tokens (the 'giver') gives exactly 20% of their current tokens (rounded down to the nearest whole token) to the player currently holding the fewest tokens (the 'receiver').
- If two or more players are tied for the most (or fewest) tokens, the tie is broken alphabetically by name (the alphabetically earlier name is chosen).
- All other players' token counts stay unchanged that round.

This process repeats round after round.

Question 1

Single correct option

After Round 1, who holds the fewest tokens?
  1. A. Aman
  2. B. Bina
  3. C. Chetan
  4. D. Divya
Show answer and solution

Answer: (B) Bina

Starting tokens: Aman 50, Bina 30, Chetan 20, Divya 100. In Round 1, Divya (max, 100) gives 20% of 100 = 20 tokens to Chetan (min, 20), making Chetan 40. New tally: Aman 50, Bina 30, Chetan 40, Divya 80. Bina (30) now has the fewest.

Question 2

Numerical answer

How many tokens does Divya have after Round 2?
Show answer and solution

Answer: 64

After Round 1: Aman 50, Bina 30, Chetan 40, Divya 80. In Round 2, Divya (max, 80) gives 20% of 80 = 16 tokens to Bina (min, 30), making Bina 46 and Divya 80−16 = 64.

Question 3

Single correct option

In which round does Chetan first act as the 'giver' (hold the maximum tokens)?
  1. A. Round 2
  2. B. Round 3
  3. C. Round 4
  4. D. Round 5
Show answer and solution

Answer: (C) Round 4

Tracking tallies: after R1 (50,30,40,80), R2 (50,46,40,64), R3: Divya (max,64) gives 20%=12 to Chetan (min,40)→Chetan 52, Divya 52 — tally (50,46,52,52). After R3 the max is a tie between Chetan and Divya at 52; alphabetically Chetan comes first, so in Round 4 Chetan is the giver — the first time Chetan holds the maximum.

Question 4

Numerical answer

What is Aman's token count after Round 4?
Show answer and solution

Answer: 50

In every round through Round 4, Aman's tally (50) is neither the strict maximum (Divya or later Chetan/Divya are higher) nor the minimum (Bina or Chetan are lower), so Aman never gives or receives tokens — Aman stays at the starting 50 throughout.

Question 5

Single correct option

After Round 3, which two players hold equal numbers of tokens?
  1. A. Aman and Bina
  2. B. Bina and Chetan
  3. C. Chetan and Divya
  4. D. Aman and Divya
Show answer and solution

Answer: (C) Chetan and Divya

Tallies after Round 3: Aman 50, Bina 46, Chetan 52, Divya 52 (Divya gave 12 of her 64 tokens to Chetan, the round's minimum-holder). Chetan and Divya are tied at 52 each.
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Original question written in the CAT 2025 Slot 3 pattern and checked twice for the correct answer. Not an official question paper. How we write and check questions · Corrections policy · Report a mistake