Solution
Seven chairs sit in a circle, numbered to clockwise.
Clockwise order: .
Counterclockwise order: .
A friend who moves stops at the first empty chair in the chosen direction.
We track the chair each friend sits on at the end of every turn.
The final column lists the set of occupied chairs, used to test clue 1: all four are adjacent (four consecutive chairs) only at the end of Turn 2 and Turn 6.
Who moves each turn: Aslam (T1, T5), Bashir (T2, T6), Chhavi (T3, T7), Davies (T4 only).
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | |||||
| T1 — Aslam | |||||
| T2 — Bashir | |||||
| T3 — Chhavi | |||||
| T4 — Davies | |||||
| T5 — Aslam | |||||
| T6 — Bashir | |||||
| T7 — Chhavi |
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | 7 | 2 | |||
| T1 — Aslam | |||||
| T2 — Bashir | |||||
| T3 — Chhavi | |||||
| T4 — Davies | |||||
| T5 — Aslam | |||||
| T6 — Bashir | |||||
| T7 — Chhavi |
Davies start and Chhavi start are filled from clue 2.
Davies first moves in Turn 4, so the statement that Davies is on chair after Turn 1 means Davies begins on chair .
Chhavi first moves in Turn 3, so the statement that Chhavi is on chair after Turn 2 means Chhavi begins on chair .
Davies is isolated (empty chairs on both sides), so chairs and are empty in the starting position.
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | 6 | 4 | 7 | 2 | 2,4,6,7 |
| T1 — Aslam | |||||
| T2 — Bashir | |||||
| T3 — Chhavi | |||||
| T4 — Davies | |||||
| T5 — Aslam | |||||
| T6 — Bashir | |||||
| T7 — Chhavi |
Aslam start and Bashir start are filled.
Aslam sits next to Chhavi (chair ); the neighbours of are and .
Chair is empty, so Aslam .
Bashir must be isolated and can only use a remaining chair.
Chair has neighbour (Aslam) occupied, so it is not isolated.
Chair is empty.
Chair has neighbours and both empty, so Bashir .
Starting empty chairs: .
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | 6 | 4 | 7 | 2 | 2,4,6,7 |
| T1 — Aslam | 1 | 4 | 7 | 2 | 1,2,4,7 |
| T2 — Bashir | |||||
| T3 — Chhavi | |||||
| T4 — Davies | |||||
| T5 — Aslam | |||||
| T6 — Bashir | |||||
| T7 — Chhavi |
Aslam moves from chair .
Clockwise: chair is occupied, chair is empty .
Counterclockwise: chair is empty .
Clue 1 requires the four to be consecutive after Turn 2.
If Aslam : occupied , and Bashir (T2) from can reach giving or giving — neither is four consecutive chairs.
So Aslam (clockwise).
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | 6 | 4 | 7 | 2 | 2,4,6,7 |
| T1 — Aslam | 1 | 4 | 7 | 2 | 1,2,4,7 |
| T2 — Bashir | 1 | 3 | 7 | 2 | 1,2,3,7 |
| T3 — Chhavi | |||||
| T4 — Davies | |||||
| T5 — Aslam | |||||
| T6 — Bashir | |||||
| T7 — Chhavi |
Bashir moves from chair (empty chairs now ).
Clockwise: chair empty , giving occupied — not consecutive.
Counterclockwise: chair empty , giving occupied , i.e. chairs — four consecutive.
Clue 1 requires consecutive chairs at Turn 2, so Bashir .
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | 6 | 4 | 7 | 2 | 2,4,6,7 |
| T1 — Aslam | 1 | 4 | 7 | 2 | 1,2,4,7 |
| T2 — Bashir | 1 | 3 | 7 | 2 | 1,2,3,7 |
| T3 — Chhavi | 1 | 3 | 6 | 2 | 1,2,3,6 |
| T4 — Davies | |||||
| T5 — Aslam | |||||
| T6 — Bashir | |||||
| T7 — Chhavi |
Chhavi moves from chair (empty chairs now ).
Clockwise: chairs occupied, chair empty .
Counterclockwise: chair empty .
If Chhavi : occupied , four consecutive — this would violate clue 1, since consecutive seating is allowed only at Turn 2 and Turn 6.
So Chhavi . This also keeps chair free, which Davies will need next.
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | 6 | 4 | 7 | 2 | 2,4,6,7 |
| T1 — Aslam | 1 | 4 | 7 | 2 | 1,2,4,7 |
| T2 — Bashir | 1 | 3 | 7 | 2 | 1,2,3,7 |
| T3 — Chhavi | 1 | 3 | 6 | 2 | 1,2,3,6 |
| T4 — Davies | 1 | 3 | 6 | 4 | 1,3,4,6 |
| T5 — Aslam | |||||
| T6 — Bashir | |||||
| T7 — Chhavi |
Davies moves from chair (empty chairs now ).
From clue 2, Davies is on chair after Turn 5; since Davies moves only in Turn 4, Davies must reach chair now.
Clockwise from : chair occupied, chair empty .
So Davies . Occupied is not consecutive, consistent with clue 1.
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | 6 | 4 | 7 | 2 | 2,4,6,7 |
| T1 — Aslam | 1 | 4 | 7 | 2 | 1,2,4,7 |
| T2 — Bashir | 1 | 3 | 7 | 2 | 1,2,3,7 |
| T3 — Chhavi | 1 | 3 | 6 | 2 | 1,2,3,6 |
| T4 — Davies | 1 | 3 | 6 | 4 | 1,3,4,6 |
| T5 — Aslam | 7 | 3 | 6 | 4 | 3,4,6,7 |
| T6 — Bashir | |||||
| T7 — Chhavi |
Aslam moves from chair (empty chairs now ).
Clockwise: chair empty .
Counterclockwise: chair empty .
Clue 1 requires the four to be consecutive after Turn 6.
If Aslam : occupied , and Bashir (T6) from reaches giving or giving — neither consecutive.
If Aslam : occupied , and Bashir (T6) from can reach giving — consecutive.
So Aslam . (Davies remains on , matching clue 2.)
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | 6 | 4 | 7 | 2 | 2,4,6,7 |
| T1 — Aslam | 1 | 4 | 7 | 2 | 1,2,4,7 |
| T2 — Bashir | 1 | 3 | 7 | 2 | 1,2,3,7 |
| T3 — Chhavi | 1 | 3 | 6 | 2 | 1,2,3,6 |
| T4 — Davies | 1 | 3 | 6 | 4 | 1,3,4,6 |
| T5 — Aslam | 7 | 3 | 6 | 4 | 3,4,6,7 |
| T6 — Bashir | 7 | 5 | 6 | 4 | 4,5,6,7 |
| T7 — Chhavi |
Bashir moves from chair (empty chairs now ).
Clockwise: chair occupied, chair empty , giving occupied — four consecutive.
Counterclockwise: chair empty , giving — not consecutive.
Clue 1 requires consecutive chairs at Turn 6, so Bashir .
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | 6 | 4 | 7 | 2 | 2,4,6,7 |
| T1 — Aslam | 1 | 4 | 7 | 2 | 1,2,4,7 |
| T2 — Bashir | 1 | 3 | 7 | 2 | 1,2,3,7 |
| T3 — Chhavi | 1 | 3 | 6 | 2 | 1,2,3,6 |
| T4 — Davies | 1 | 3 | 6 | 4 | 1,3,4,6 |
| T5 — Aslam | 7 | 3 | 6 | 4 | 3,4,6,7 |
| T6 — Bashir | 7 | 5 | 6 | 4 | 4,5,6,7 |
| T7 — Chhavi | 7 | 5 | 1/3 | 4 | 1,4,5,7 / 3,4,5,7 |
Chhavi moves from chair (empty chairs now ).
Clockwise: chair occupied, chair empty , giving occupied .
Counterclockwise: chairs occupied, chair empty , giving occupied .
Neither set is four consecutive chairs, so both directions satisfy clue 1; Chhavi's Turn 7 destination is not pinned down.
Either way, Chhavi leaves chair , so chair becomes empty.
Bashir stays on chair ; its neighbours are chair (Davies) and chair (empty).
| Turn | Aslam | Bashir | Chhavi | Davies | Occupied |
|---|---|---|---|---|---|
| Start | 6 | 4 | 7 | 2 | 2,4,6,7 |
| T1 — Aslam | 1 | 4 | 7 | 2 | 1,2,4,7 |
| T2 — Bashir | 1 | 3 | 7 | 2 | 1,2,3,7 |
| T3 — Chhavi | 1 | 3 | 6 | 2 | 1,2,3,6 |
| T4 — Davies | 1 | 3 | 6 | 4 | 1,3,4,6 |
| T5 — Aslam | 7 | 3 | 6 | 4 | 3,4,6,7 |
| T6 — Bashir | 7 | 5 | 6 | 4 | 4,5,6,7 |
| T7 — Chhavi | 7 | 5 | 1/3 | 4 | 1,4,5,7 / 3,4,5,7 |
The table is complete.
All positions are uniquely determined except Chhavi's destination at Turn 7, which can be chair or chair ; both satisfy every clue.
This ambiguity does not affect Bashir, who ends on chair with neighbours chair (Davies) and chair (empty) in either case.
At the end of Turn 7, Bashir is on chair (he last moved in Turn 6 and does not move in Turn 7).
The neighbours of chair are chair (Davies) and chair . Chhavi has just left chair in Turn 7 (to chair or chair ), so chair is empty in both possibilities.
Thus the only friend adjacent to Bashir is Davies.
Answer: Davies only — option 4.