Who can be the neighbours of A?
Analyzing the Circular Table Arrangement
We need to determine the neighbours of person A based on the given seating arrangement rules around a circular table where everyone faces opposite to the centre.
Facing Opposite Direction: When facing opposite to the centre, "right" corresponds to the clockwise direction, and "left" corresponds to the counter-clockwise direction.
Step-by-Step Deduction
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Positioning A and B: Let's place A at seat 1. The statement "B is fourth to the right of A" means B is 4 seats clockwise from A. Since they face opposite, right is clockwise. So, B is at seat $1 + 4 = 5$. Arrangement: A _ _ _ B _ _ _ (Seats 1 to 8 clockwise)
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Positioning E: "B is the neighbour of E". E can be at seat 4 or seat 6.
- Case 1: E is at seat 4. Arrangement: A _ _ E B _ _ _
- Case 2: E is at seat 6. Arrangement: A _ _ _ B E _ _
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Positioning F: "Only two persons are sitting between E and F".
- Case 1 (E=4): To have 2 people between E(4) and F, F must be at seat 7 (E(4), Seat 5, Seat 6, F(7)). Arrangement: A _ _ E B _ F _
- Case 2 (E=6): To have 2 people between E(6) and F, F must be at seat 3 (F(3), Seat 4, Seat 5, E(6)). Arrangement: A _ F _ B E _ _
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Positioning G and H: "Only three persons are sitting between G and H". This means G and H must sit opposite each other.
- Case 1 (A=1, E=4, B=5, F=7): Seats 2, 3, 6, 8 are available for G, H, C, D. The only opposite pair available is (2, 6). So, G and H must be at seats 2 and 6.Arrangement: A G/H _ E B H/G F _
- Case 2 (A=1, F=3, B=5, E=6): Seats 2, 4, 7, 8 are available. The only opposite pair available is (4, 8). So, G and H must be at seats 4 and 8.Arrangement: A _ F G/H B E _ H/G
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Positioning C and D: "D is third to the left of C". Left is counter-clockwise.
- Case 1 continued (A=1, G/H=2, E=4, B=5, H/G=6, F=7): Seats 3 and 8 are left for C and D. If C is at seat 3, moving 3 seats left (counter-clockwise: 3 -> 2 -> 1 -> 8) places D at seat 8. This works. Arrangement: A G/H C E B H/G F D
- Case 2 continued (A=1, F=3, B=5, E=6, G/H=4, H/G=8): Seats 2 and 7 are left for C and D. If C is at seat 2, moving 3 seats left (2 -> 1 -> 8 -> 7) places D at seat 7. This works. Arrangement: A C F G/H B E D H/G
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Applying Constraint "B is not the neighbour of G":
- Case 1 Final Check: Arrangement is A(1) G/H(2) C(3) E(4) B(5) H/G(6) F(7) D(8). B is at seat 5. Neighbours are 4(E) and 6. G/H are at seats 2 and 6. If G is at seat 6, B(5) is a neighbour of G(6), which is not allowed. Therefore, G must be at seat 2, and H must be at seat 6. Final Arrangement 1: A G C E B H F D
- Case 2 Final Check: Arrangement is A(1) C(2) F(3) G/H(4) B(5) E(6) D(7) H/G(8). B is at seat 5. Neighbours are 4 and 6(E). G/H are at seats 4 and 8. If G is at seat 4, B(5) is a neighbour of G(4), which is not allowed. Therefore, G must be at seat 8, and H must be at seat 4. Final Arrangement 2: A C F H B E D G
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Determining A's Neighbours:
- In Final Arrangement 1 (A G C E B H F D): A is at seat 1. Neighbours are G (seat 2) and D (seat 8). This matches Option B.
- In Final Arrangement 2 (A C F H B E D G): A is at seat 1. Neighbours are C (seat 2) and G (seat 8). This combination (C and G) is not listed as an option.
Conclusion
Based on the analysis, the only valid arrangement consistent with all conditions and matching the options is Arrangement 1, where A's neighbours are G and D.
Similar Questions
- A, B, C, D, E, F and G are sitting around a circular table facing the centre.
C sits to the immediate right of D. Only three people sit between C and G when counted from the left of C. Only three people sit between D and B. A sits to the immediate right of F. How many people sit between C and A when counted from the right of C? - L, M, N, O, Q, R, and S are sitting around a circular table facing the centre of the table. L sits fourth to the right of R. Only two people sit between Q and N when counted from the left of Q. M sits third to the left of O. S is an immediate neighbor of O and N.
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- L, M, N, O, Q, R and S are sitting around a circular table, facing the centre of the table. Only two people sit between O and R when counted from the right of O. Only two people sit between R and M. Only three people sit between O and N. L sits to the immediate left of Q. Who sits third to the left of S?
- Teena, Beena, Meera, Leena, Meenu and Reena are sitting around a circle, facing the centre. Reena sits second to the left of Teena. Meenu sits third to the left of Reena. Leena sits second to the left of Meera. Who sits second to the left of Beena?
- Read the given instructions carefully and answer the question that follows.
8 people - A, B, C, D, E, F, G, H - are sitting at a round table facing each other. A is between E and G, whereas G is sitting second to the right of F. H is between D and B and is second to the left of F. A and B are sitting opposite each other. Who is sitting immediately to the right of G? - Eight siblings, L, M, N, O, P, Q, R and S, are sitting around a circular table facing away from the centre and at equal distance from the other, but not in the same order. S sits second to the left of P. M sits third to the right of S. R is M’s immediate neighbour and is sitting second to the left of L. N is an immediate neighbour of R. O’s back faces the back of N. Q sits to the immediate right of L. Who sits to the immediate right of O?
- Read the given instructions carefully and answer the question that follows.
8 people – A, B, C, D, E, F, G, H - are sitting at a round table facing each other. A is between E and G, whereas G is sitting second to the right of F. H is between D and B and is second to the left of F. A and B are sitting opposite each other.
How many persons are sitting between A and B?
Important Questions from Circular Arrangement
Seven friends, Subhi, Prince, Ketan, Vishal, Mahima, Krish and Naitik, are sitting around a circular table with their backs towards the centre. Subhi is sitting to the immediate right of Prince. Naitik and Krish are not sitting to the immediate left or right of Vishal. Vishal is sitting third to the left of Prince. Mahima is sitting to the immediate right of Vishal. Who is sitting third to the right of Prince?
Raghav, Manpreet, Sunaina, Prakrit, Vedika and Arwa are sitting around a circular table facing the centre. Raghav is second to the left of Prakrit. Manpreet is to the immediate left of Sunaina. Arwa is second to the right of Vedika. There are an equal number of persons between Raghav and Manpreet from both the ends. Who is sitting third to the left of Sunanina?
Five friends, Vishnu, Chirag, Raina, Kavya and Surbhi, are sitting around a circular table, facing the center. Vishnu is to the immediate right of Kavya. Chirag is third to the left of Kavya. Surbhi is not adjacent to Chirag. Who is second to the left of Kavya?
Six friends, David, Bhanu, Minto, Krita, John and Nisan, are sitting in a circle with their backs towards the centre. David and Minto are sitting to the immediate left and right of Bhanu, respectively. John is not sitting to the immediate left of David. Nisan is sitting third to the right of Bhanu. Who is sitting second to the left of Bhanu?
Eight friends, P, Q, R, S, T, U, V and W, are sitting in the same order anticlockwise around a circular table at equal distance between them, with all centre of the table. If Q is sitting in the south-east, then in which direction is W sitting?
