A,B, C, D, E, F and G are sitting around a circular table facing the Centre. D sits third to the left of F. G sits second to the left of D. G sits to the immediate right of E. B sits to the immediate left of A. What is the position of D with respect to B?
Immediate left
Circular Arrangement Puzzle: Finding D's Position Relative to B
This problem involves deductive reasoning to determine the seating arrangement of seven people (A, B, C, D, E, F, G) around a circular table facing the centre. The goal is to pinpoint the exact position of D in relation to B using the given clues.
Step-by-Step Arrangement Solution
We'll build the seating arrangement logically. Imagine a circular table with 7 seats, numbered 1 through 7 clockwise. Everyone is facing the centre.
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Clue 1: D sits third to the left of F.
When facing the centre, 'left' corresponds to the counter-clockwise direction. If we place F at Seat 1, moving three steps counter-clockwise lands us on Seat 5 (1 → 7 → 6 → 5). Thus, D is at Seat 5.
Current Placement: F is at Seat 1, D is at Seat 5.
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Clue 2: G sits second to the left of D.
D is at Seat 5. Moving two steps counter-clockwise from Seat 5 brings us to Seat 3 (5 → 4 → 3). Therefore, G is at Seat 3.
Current Placement: F(1), G(3), D(5).
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Clue 3: G sits to the immediate right of E.
G is at Seat 3. 'Right' means clockwise. If G is to the immediate right of E, then E must be seated immediately to the left (counter-clockwise) of G. This places E at Seat 2.
Arrangement Update: F(1), E(2), G(3), _(4), D(5), _(6), _(7).
People placed so far: F, E, G, D. Seats occupied: 1, 2, 3, 5.
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Clue 4: B sits to the immediate left of A.
This clue tells us that A and B are neighbours, specifically in the order B A when moving counter-clockwise (or A B moving clockwise). The available seats are 4, 6, and 7. The only adjacent pair is Seats 6 and 7.
To satisfy "B is to the immediate left of A", A must be at Seat 7, and B must be at Seat 6. Checking this: From A at Seat 7, the immediate left (counter-clockwise) is indeed Seat 6, where B is placed (7 → 6).
Arrangement Update: F(1), E(2), G(3), _(4), D(5), B(6), A(7).
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Placing the final person:
Only one person remains (C) and one seat is empty (Seat 4). C must occupy Seat 4.
Final Arrangement (Clockwise): F, E, G, C, D, B, A.
Final Arrangement Verification
Let's confirm that this arrangement works with all the initial clues.
| Seat (Clockwise) | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|
| Person | F | E | G | C | D | B | A |
- Clue 1 Verification: D (Seat 5) is third to the left of F (Seat 1). (1 → 7 → 6 → 5). Correct.
- Clue 2 Verification: G (Seat 3) is second to the left of D (Seat 5). (5 → 4 → 3). Correct.
- Clue 3 Verification: G (Seat 3) is to the immediate right of E (Seat 2). (2 → 3). Correct.
- Clue 4 Verification: B (Seat 6) is to the immediate left of A (Seat 7). (7 → 6). Correct.
The arrangement F E G C D B A in clockwise order is consistent with all given conditions.
Determining D's Position Relative to B
The final step is to determine D's position relative to B.
- In our confirmed arrangement, B is at Seat 6.
- D is at Seat 5.
- Imagine you are B, sitting at Seat 6 and facing the centre.
- The person to your right (clockwise) is at Seat 7 (A).
- The person to your left (counter-clockwise) is at Seat 5 (D).
Therefore, D is sitting to the Immediate left of B.
Similar Questions
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Important Questions from Circular Arrangement
Eight students A, B, C, D, E, F, G and Hsit around a circular table, equidistant from each other, facing the centre of the table, not necessarily in the same order. Band Dsit neither adjacent to Cnor opposite to C. Asits in between Eand D, and Fsits in between Band H. Which one of the following is definitely correct?
Six persons A, B, C, D, E and Fare sitting equidistant from each other around a circular table (facing the centre of the table).
Consider the Question and two Statements given below :
Question : Who is sitting on the immediate left of A?
Statement-1 : Bis sitting opposite to Cand Dis sitting opposite to E.
Statement-2 : Fis sitting on the immediate left of B.
Which one of the following is correct in respect of the Question and the Statements?
Vishal, Tanmay, Zain, Yashi, Rishi and Manish are sitting in a circle facing the centre. Rishi is opposite Manish, Yashi is to the left of Vishal who is opposite Tanmay. Who is to the left of Zain, if Manish is between Zain and Vishal?
Seven persons P, Q, R, S, T, U and V are sitting around a circular table facing the center (not necessarily in the same order). T sits third to the right of R. V sits third to the right of Q. One person sits between P and T. P is not the neighbor of S. U sits third to the left of P. Who sits second to the left of S?
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