A, B, C, D, E, F, G, and H are sitting around a square table facing outwards. Some of them are sitting at the corners while some are sitting at the exact centre of the sides. A is sitting to the immediate left of B and right of H. H is sitting between A and G. F is sitting to the immediate left of G and right of E. D is sitting between E and C. C is sitting to the immediate right of B. Who is sitting between C and E?
D
Solving the Seating Arrangement Puzzle
This problem involves determining the seating arrangement of eight people around a square table. Some are at the corners, and some are at the exact centre of the sides. All individuals are facing outwards.
When people are facing outwards from a table:
- Immediate left means moving in the clockwise direction.
- Immediate right means moving in the anti-clockwise direction.
Analyzing the Clues
Let's break down the given information:
- Clue 1: A is sitting to the immediate left of B and right of H.
- Immediate left of B is A $\implies$ B followed immediately by A clockwise. (B $\xrightarrow{\text{Clockwise}}$ A)
- Immediate right of H is A $\implies$ H followed immediately by A anti-clockwise. (H $\xrightarrow{\text{Anti-clockwise}}$ A)
- Combining these, A is immediately clockwise to B and immediately anti-clockwise to H. The sequence in clockwise direction must be H, A, B.
- Clue 2: H is sitting between A and G.
- Given the sequence H, A (clockwise) from Clue 1, if H is between A and G, the sequence must be G, H, A or A, H, G.
- For H to be between A and G in the sequence H, A, B (clockwise), the clockwise sequence must be G, H, A. So, G is immediately clockwise to H.
- Combining with Clue 1 sequence (H, A, B clockwise), the sequence becomes G, H, A, B (clockwise).
- Clue 3: F is sitting to the immediate left of G and right of E.
- Immediate left of G is F $\implies$ G followed immediately by F clockwise. (G $\xrightarrow{\text{Clockwise}}$ F)
- Immediate right of E is F $\implies$ E followed immediately by F anti-clockwise. (E $\xrightarrow{\text{Anti-clockwise}}$ F)
- Combining these, F is immediately clockwise to G and immediately anti-clockwise to E. The sequence in clockwise direction must be E, F, G.
- Clue 5: C is sitting to the immediate right of B.
- Immediate right of B is C $\implies$ B followed immediately by C anti-clockwise. (B $\xrightarrow{\text{Anti-clockwise}}$ C)
- This means C is immediately before B in the clockwise direction.
- Clue 4: D is sitting between E and C. (We will use this to place D once others are arranged).
Building the Seating Arrangement Sequence
Let's combine the clockwise sequences we derived:
- From Clue 2 (and 1): G, H, A, B (Clockwise)
- From Clue 3: E, F, G (Clockwise)
- From Clue 5: C is immediately before B (Clockwise).
Let's start with the longest connected sequence derived: G, H, A, B (clockwise). There are 8 seats in total.
Now, incorporate E, F, G (clockwise). Since G is in both sequences, link them at G. This gives E, F, G, H, A, B (clockwise). This accounts for 6 people.
Next, incorporate Clue 5: C is immediately before B in the clockwise sequence. Placing C before B gives us C, B, A, H, G, F, E (clockwise). This accounts for 7 people.
The people placed are C, B, A, H, G, F, E. The missing person is D.
The sequence so far is C, B, A, H, G, F, E (clockwise). Since it's a circular table, the person immediately after E in clockwise direction is C (wrapping around). The empty seat must be between E and C.
Clue 4 states D is sitting between E and C. This confirms that D occupies the single seat between E and C in the arrangement.
So, the full clockwise sequence is C, B, A, H, G, F, E, D.
Final Arrangement and Answer
The seating arrangement in clockwise order is:
C $\rightarrow$ B $\rightarrow$ A $\rightarrow$ H $\rightarrow$ G $\rightarrow$ F $\rightarrow$ E $\rightarrow$ D $\rightarrow$ C
The question asks who is sitting between C and E.
Looking at the clockwise sequence C, B, A, H, G, F, E, D:
- Moving clockwise from C, we reach E after passing B, A, H, G, F.
- Moving anti-clockwise from C, we immediately find D, and then E.
The person sitting immediately between C and E (on the shorter path) is D.
| Order | Person (Clockwise) |
|---|---|
| 1 | C |
| 2 | B |
| 3 | A |
| 4 | H |
| 5 | G |
| 6 | F |
| 7 | E |
| 8 | D |
In this circular arrangement, D is between E and C.
Conclusion
Based on the logical deduction from the clues, D is sitting between C and E.
Seating Arrangement Puzzle Revision Table
| Clue No. | Relationship | Clockwise Sequence Implied |
|---|---|---|
| 1 | A left of B, A right of H | H, A, B |
| 2 | H between A and G | G, H, A (using H,A from clue 1) |
| Combined (1&2) | G, H, A, B | |
| 3 | F left of G, F right of E | E, F, G |
| Combined (1,2&3) | E, F, G, H, A, B | |
| 5 | C right of B | C immediately before B (Clockwise) |
| Combined (All except 4) | C, B, A, H, G, F, E | |
| 4 | D between E and C | D fits between E and C in the circular arrangement |
| Final Sequence | C, B, A, H, G, F, E, D (Clockwise) |
Additional Information on Seating Puzzles
Seating arrangement questions are common in logical reasoning sections of exams. They test your ability to follow instructions and deduce relationships based on relative positions.
- Types: Linear arrangement, Circular arrangement (facing inwards/outwards/mixed), Square/Rectangular arrangement (facing inwards/outwards/mixed, corner/side positions), Polygon arrangement.
- Key Skills: Careful reading, understanding positional terms (left, right, between, immediate), drawing diagrams, eliminating possibilities, consolidating clues.
- Strategy: Start with a definite clue or a clue that connects multiple people. Build sequences step-by-step. Be consistent with direction (clockwise/anti-clockwise) relative to facing direction. Draw the table structure if helpful, especially for square/rectangular arrangements with corner/side distinctions.
- Facing Direction: This is crucial. Left/right definitions reverse when facing outwards compared to facing inwards.
Practice with different types of arrangements and facing directions to improve speed and accuracy in solving these logical puzzles.
Similar Questions
8 friends – Jake, Ken, Lily, Dev, Mini, Nancy, Om and Polly are sitting around a square table such that four of them are sitting at the corners of the table and the other four are sitting in the middle of each of the four sides. All are sitting facing the centre. Neither Jake nor Om is an immediate neighbour of Mini. Lily is sitting fourth to the left of Om. Nancy is not sitting in the middle of any of the sides. Om is sitting second to the right of Jake. Jake is not sitting in the middle of any of the sides. Mini is sitting in the middle of one of the sides. Only one person is sitting between Ken and Mini. Polly is not an immediate neighbour of Om.
Who is sitting fourth to the right of Jake?
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A, B, C, D, E, F, G and H are sitting around a square table not facing the centre. Some of them are sitting at the corners while some are sitting at the exact centre of the sides. A is sitting to the immediate right of F and immediate left of E. C is sitting to the immediate right of E. G is sitting two places from the right of E. B is sitting to the immediate right of G. H is sitting to the immediate right of B and immediate left of D. D is sitting to the left of F. Who is sitting between A and D?
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Important Questions from Polygon Arrangement
A, B, C, D, E, F, G and H are sitting around a square table facing the centre of the table. Some of them are sitting at the corners while some are sitting at the exact centre of the sides.
G sits second to the right of F. B sits second to the right of A. C sits third to the right of H. E sits third to the right of F. C is not the immediate neighbour of A. Who sits second to the right of B?
6 persons A, B, C, D, E and F are sitting around a rectangular table, facing towards the centre (not necessarily in the same order). One person is sitting on each of the smaller sides. Two persons are sitting on each of the bigger sides. No person is sitting at the corners. C and F are sitting on the same side. B is sitting opposite to A. F is the immediate neighbour of B. A is sitting second to the left of D.
Counting towards the left of D, how many persons are sitting between A and D?
Seven friends, A, B, C, D, E, F, and G are seating around a square table, facing towards the centre. Some of them are sitting at the corners while some are sitting at the exact centre of the sides of the table. One seat is left vacant. D is sitting exactly at the centre of one of the sides of the table. C is sitting at a corner, third to the left of B. There are exactly two people sitting between C and D. F is an immediate neighbour of both B and D. A is second to the right of F. E is not an immediate neighbour of A, but third to the left of F. G is an immediate neighbour of C. Where is the vacant seat?
Rashmi, Sunita, Mona and Sakshi are sitting around a square table. Rashmi is to the right of Sunita. Mona is to the left of Sakshi. Which of the persons mentioned in the options is sitting opposite to each other?
V, W, X, Y, Z, A, B and C were sitting around a square table facing the centre. Some of these were sitting at corners and some were sitting at exact centre of the sides. C was to the immediate right of W. B was third to the left of Z. A was the immediate neighbour of X and C. Z, not at any corner, was the immediate neighbour of W and Y. Who among the following was sitting third to the right of A?
