CAT 2025 Slot 3 · DILR · Question 2

CAT 2025 Slot 3 previous year question on Arrangement Based Puzzes, with the answer and a step-by-step solution.

Arrangement Based PuzzesLOGICAL REASONING - High LevelMultiple choiceMedium

Set 1: Passing the Buck — this question belongs to a set. Read the full set with all 4 questions →

Seven children, Aarav, Bina, Chirag, Diya, Eshan, Farhan, and Gaurav, are sitting in a circle facing inside (not necessarily in the same order) and playing a game of 'Passing the Buck'.

The game is played over 10 rounds. In each round, the child holding the Buck must pass it directly to a child sitting in one of the following positions:

• Immediately to the left;

• Immediate to the right;

• Second to the left; or

• Second to the right.

The game starts with Bina passing the Buck and ends with Chirag receiving the Buck. The table below provides some information about the pass types and the child receiving the Buck. Some information is missing and labelled as '?'.

Round

Pass Type

Received by

1

Immediately to the left

Aarav

2

Second to the right

?

3

Immediately to the right

Diya

4

?

?

5

?

Aarav

6

Second to the left

?

7

Immediately to the left

Gaurav

8

Immediately to the left

?

9

?

Farhan

10

?

Chirag

Who is sitting third to the left of Eshan?

  1. A

    Gaurav

  2. B

    Divya

  3. C

    Chirag

  4. D

    Aarav

Pick an option, then check.
Answer & solution

Answer: Option C

From the arrangement (moving left adds 1): Bina 0, Aarav 1, Chirag 2, Farhan 3, Gaurav 4, Diya 5, Eshan 6.

Third to the left of Eshan is seat 6 + 3 = 9, i.e. seat 2 (mod 7), which is Chirag.

Shortcut: going left from Eshan you pass Bina, then Aarav, then reach Chirag.

Hence, the answer is option 3.

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