Comprehension
A round table has seven chairs around it. The chairs are numbered 1 through 7 in a clockwise direction. Four friends, Aslam (A), Bashir (B), Chhavi (C), and Davies (D), sit on four of the chairs. In the starting position, Aslam and Chhavi are sitting next to each other, while for Bashir as well as Davies, there are empty chairs on either side of the chairs they are sitting on.
The friends take turns moving either clockwise or counterclockwise from their chair. The friend who has to move in a turn occupies the first empty chair in whichever direction they choose to move. Aslam moves first (Turn 1), followed by Bashir, Chhavi, and Davies (Turns 2, 3, and 4, respectively). Then Aslam moves again followed by Bashir, and Chhavi (Turns 5, 6, and 7, respectively).
The following information is known: 1. The four friends occupy adjacent chairs only at the end of Turn 2 and Turn 6. 2. Davies occupies Chair 2 after Turn 1 and Chair 4 after Turn 5, and Chhavi occupies Chair 7 after Turn 2.
Question: 1

What is the number of the chair initially occupied by Bashir?

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In circular movement problems, always place the individuals who do not move early. Their fixed positions force the entire arrangement logically.
Updated On: Jul 4, 2026
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Correct Answer: 4

Solution and Explanation

Step 1: Davies makes his first move only in Turn 4, so his seat after Turn 1 is unchanged from the start. Since he is placed on Chair 2 after Turn 1, Davies started on Chair 2, which forces Chairs 1 and 3 to be empty (his two required empty neighbours).
Step 2: Chhavi's first move is Turn 3, so her seat after Turn 2 (Chair 7, as given) is also her starting seat, not a moved-to seat.
Step 3: Aslam sits next to Chhavi at the start, so Aslam must start on Chair 6 (the only neighbour of Chair 7 not already taken by Davies's empty zone). That leaves only Chair 4 free among 4-5-6-7 for Bashir, and it satisfies his own empty-both-sides condition using Chairs 3 and 5.
Step 4: Simulating Turns 1-6 with this layout reproduces Davies on Chair 4 after Turn 5 and both stated “all four adjacent” moments (after Turn 2 and Turn 6) exactly, confirming the assignment is consistent.
\[ \boxed{4} \]
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Question: 2

Who sits on the chair numbered 4 at the end of Turn 3?

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When a problem restricts adjacency to specific turns, always check whether a move accidentally creates a forbidden block of adjacent friends. This helps eliminate impossible movements.
Updated On: Jul 2, 2026
  • Bashir
  • Chhavi
  • Davies
  • No one
Show Solution

The Correct Option is D

Solution and Explanation

Approach: Track only the occupied-set through three turns instead of every name – once you see Chair 4 never gets filled by Turn 3, you're done.

Given: Circular chairs $1$–$7$; A, B, C, D on four; A\(\&\)C adjacent, B, D isolated at start; order A,B,C,D,A,B,C; first-empty-seat moves. D starts on $2$ (Chair $2$ after Turn 1, but D's first move is Turn 4); C on $7$ after Turn 2; all adjacent after Turns 2 and 6.

Step 1 – Opening occupied set. The forced start is chairs $\{2,4,6,7\}$ (D$=2$, B$=4$, A$=6$, C$=7$), empties $\{1,3,5\}$.

Step 2 – Turn 1. A moves into the nearest empty seat $1$: occupied $\{1,2,4,7\}$.

Step 3 – Turn 2. B moves into $3$ (so all four become consecutive $1,2,3,7$, satisfying the Turn-2 adjacency): occupied $\{1,2,3,7\}$. Chair $4$ has just emptied.

Step 4 – Turn 3. C moves from $7$ to the nearest empty seat $6$: occupied $\{1,2,3,6\}$. Chair $4$ is still empty. \[\text{Chair 4 after Turn 3: }\mathbf{No\ one}\]
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Question: 3

Which of the chairs are occupied at the end of Turn 6?

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When later turns depend on a stated future position (like “Davies is at Chair 4 after Turn 5”), work backward: the last move involving that person must place them there.
Updated On: Jul 2, 2026
  • Chairs numbered 4, 5, 6, and 7
  • Chairs numbered 1, 2, 3, and 4
  • Chairs numbered 2, 3, 4, and 5
  • Chairs numbered 1, 2, 6, and 7
Show Solution

The Correct Option is A

Solution and Explanation

Approach: Pin the two fixed late-game facts – D ends on Chair $4$ (after Turn 5) and the four must be consecutive after Turn 6 – and let those two facts select the block directly.

Given: Circular chairs $1$–$7$; A, B, C, D on four; A\(\&\)C adjacent, B, D isolated at start; order A,B,C,D,A,B,C; first-empty-seat moves. D on $2$ after Turn 1 (so starts on $2$) and on $4$ after Turn 5; C on $7$ after Turn 2; all adjacent after Turns 2 and 6.

Step 1 – Fix the leaders. Rolling the forced opening $\{D{=}2,B{=}4,A{=}6,C{=}7\}$ forward: after Turn 5 we have A$=7$, B$=3$, C$=6$, D$=4$ – occupied $\{3,4,6,7\}$ (not yet adjacent, matching the rule).

Step 2 – Turn 6. Only B moves on Turn 6. For the four to become consecutive, B must slide from $3$ to $5$, filling the gap and giving the run $\{4,5,6,7\}$ around the already-placed A$=7$, C$=6$, D$=4$. \[\text{Occupied after Turn 6}=\mathbf{4,\ 5,\ 6,\ 7}\]

That consecutive block is the only one consistent with D fixed on $4$ and B's single available step, so the answer is chairs $\mathbf{4,5,6,7}$.
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Question: 4

Which of the following BEST describes the friends sitting on chairs adjacent to the one occupied by Bashir at the end of Turn 7?

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Once you know the complete configuration at an earlier turn, track only the people who actually move afterward. Everyone else keeps their relative positions, which makes adjacency questions much easier.
Updated On: Jul 2, 2026
  • Chhavi only
  • Davies only
  • Chhavi and Davies
  • Aslam and Chhavi
Show Solution

The Correct Option is B

Solution and Explanation

Alternate method (eliminate the options): Test each option against the hard anchors instead of building the whole grid.



Recall the anchors: chairs $1$ to $7$ clockwise; friends Aslam, Bashir, Chhavi, Davies; Davies at Chair $2$ after Turn $1$ and at Chair $4$ after Turn $5$; Chhavi at Chair $7$ after Turn $2$; and the four are consecutive only at the end of Turns $2$ and $6$.



Check 'Aslam and Chhavi': The block of four is consecutive at the end of Turn $6$. Turn $7$ is a Chhavi move, so Chhavi shifts away from the cluster and cannot remain a neighbour of Bashir. An option that keeps Chhavi next to Bashir contradicts the Turn-7 move, so 'Chhavi and Davies', 'Chhavi only' and 'Aslam and Chhavi' are all ruled out.



Check the lone neighbour: After Chhavi vacates, the consecutive block is broken on one side, leaving Bashir with a single occupied neighbouring chair. The anchored seats (Davies tracked to Chairs $2$ then $4$) place Davies in that one chair beside Bashir.



Only 'Davies only' survives every check.



Final answer: Davies only.

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