Hexagonal Table Arrangement Puzzle
This problem involves arranging six friends (A, B, C, D, E, F) around a hexagonal table and determining their relative positions.
Decoding Seating Clues
- There are 6 positions around the table, facing the center. We can number them 1 to 6 clockwise.
- Clue 1: "A is second to the left of F." If F is at position $i$, A is at position $i-2$ (moving counter-clockwise).
- Clue 2: "B is the neighbour of C and D." This means B sits immediately between C and D, forming a block C-B-D or D-B-C.
- Clue 3: "E is second to the left of D." If D is at position $j$, E is at position $j-2$ (moving counter-clockwise).
Step-by-Step Arrangement
- Let's place D first. Assume D is at position 1.
- From Clue 3, E is second to the left of D. The position to the left of 1 is 6, and the second position to the left is 5. So, E is at position 5. Arrangement: D _ _ E _ _ (clockwise 1, 2, 3, 4, 5, 6).
- From Clue 2, B is a neighbour of D. B can be at position 2 or position 6.
- Try B at position 2: D B _ E _ _. Since B is between C and D, C must be at position 3. Arrangement: D B C E _ _. The remaining positions are 4 and 6, for A and F.
- Check Clue 1: "A is second to the left of F."
- If F is at 6, left is 5 (E), second left is 4 (A). This fits! Arrangement: D B C E A F.
- Let's verify all conditions with D B C E A F (clockwise):
- A second left of F? F(6) -> Left 5(E) -> Second Left 4(A). Yes.
- B neighbour of C and D? B(2) is between D(1) and C(3). Yes.
- E second left of D? D(1) -> Left 6(F) -> Second Left 5(E). Yes.
- The final arrangement (clockwise) is D, B, C, E, A, F.
Finding the Third Person Left of B
- B is at position 2.
- The person immediately to the left of B (position 1) is D.
- The second person to the left of B (position 6) is F.
- The third person to the left of B (position 5) is E.
Therefore, E is the third person sitting to the left of B.
Similar Questions
- Four friends, Ankita, Shruti, Payal and Mahak, are sitting at a rectangular table, each at one corner. Ankita is sitting to the right of Shruti, who is sitting diagonally opposite to Payal. Where is Ankita sitting with respect to Mahak?
Read the given sitting arrangement information and answer the question that follows.
Puneet, Monu, Jyoti, Umesh, Tapsi, Vinod, Pushpa and Saha are sitting at a square table in such a way that four of them are sitting at four corners of the table, while the other four are sitting in the middle of each of four sides of the table. The four who are sitting at the corners of the table are facing the centre, whereas those who are sitting in the middle of the sides of the table are facing outside. Puneet, who is facing the centre, is sitting third to the right of Vinod. Tapsi, who is facing centre, is not an immediate neighbour of Vinod. Only one person is sitting between Vinod and Pushpa. Umesh sits second to the right of Monu. Monu is facing the centre. Jyoti is not an immediate neighbour of Puneet.
Which of the following statements regarding Monu is true?
Important Questions from Polygon Arrangement
Four friends, H, I, J and K, are sitting at the four corners of a square facing towards the centre. H and J are sitting at diagonally opposite corners. I is sitting to the immediate left of H. Who is sitting to the immediate right of J?
Four friends named A, B, C, and D are sitting around a square table in a restaurant. If B is sitting in front of A and diagonally opposite to D, then who is sitting in front of C?
Five persons, A, B, C, D and E, are sitting at each corner of a pentagonal table, facing the centre. C is to the right of A and is second to the left of D. E is not between A and D. Who is sitting third to the left of E?
Eight boys, P, Q, R, S, T, U, V and W, are seated around a round table, not necessarily in same order, but with equal spacing between them and all facing the centre of the table. S is seated exactly opposite to P, who has U and R as his immediate neighbours. T is seated immediately next to V, who is to the immediate right of S. Q is exactly opposite to T and does not have R as his immediate neighbour. With this information, which of the following statements is correct?
A group of friends are sitting in an arrangement with one each at the corner of an octagon. All are facing the centre. Medha is sitting diagonally opposite Radha. Medha is on Seema’s left. Raman is next to Seema and opposite Govind. Govind is on Chandra’s right. Shanti is not on Medha’s right but is opposite to Shashi. Who is opposite Chandra?
