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
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?
