CAT Linear & Circular Arrangements Practice Questions (165+ Questions)

Eight friends (P, Q, R, S, T, U, V and W) sit around a circular table with eight equally spaced seats, all facing the centre. The seats are numbered 1 to 8 in clockwise order, so seat 8 is next to seat 1. Two seats are directly opposite each other if their numbers differ by 4 (1–5, 2–6, 3–7 and 4–8). Each friend sits in a different seat.

Direction convention: because everyone faces the centre, the person to the immediate left of someone in seat $k$ is in the next seat clockwise (seat $k+1$, with seat 1 after seat 8). The person to the immediate right is in the next seat anticlockwise (seat $k-1$, with seat 8 before seat 1). "Second to the left" means two seats clockwise, and so on.

The following facts are known:

Five football teams, A, B, C, D and E, played a single round-robin tournament. Every team played every other team exactly once, so 10 matches were played in all. The tournament ran over five consecutive days, Day 1 to Day 5. Exactly two matches were played each day, and the fifth team rested that day. Each team rested on exactly one day. A win earned 3 points, a draw earned 1 point for each team, and a loss earned 0 points.

The following facts are known: