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Year

CAT 2025

Section

Data

Topic

Circular Arrangements

Difficulty

Hard

Question

Slot-3

Passage:

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 '?'.

RoundPositionName
1Immediately to the leftAarav
2Second to the right?
3Immediately to the rightDiya
4??
5?Aarav
6Second to the left?
7Immediately to the leftGaurav
8Immediately to the left?
9?Farhan
10?Chirag

Question 1

Who is sitting immediately to the right of Bina?

Chirag

Aarav

Farhan

Eshan

Question 2

Who is sitting third to the left of Eshan?

Aarav

Chirag

Gaurav

Divya

Question 3

For which of the following pass types can the total number of occurrences be uniquely determined?

Second to the right

Second to the left

Immediately to the left

Immediately to the right

Question 4

For which of the following children is it possible to determine how many times they received the Buck?

Bina

Gaurav

Farhan

Eshan

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