Read the information given below to answer the questions.
A, B, C, D, E, F, G and H want to have a dinner on a round table and they have worked out the following seating arrangements.
(a) A will sit beside C.
(b) H will sit beside A.
(c) C will sit beside E.
(d) F will sit beside H.
(e) E will sit beside G.
(f) D will sit beside F.
(g) G will sit beside B.
(h) B will sit beside D.
Using the seating loop A - C - E - G - B - D - F - H (back to A), with everyone facing the centre so that a clockwise step lands on a person's immediate left and an anti-clockwise step lands on their immediate right, let's test each statement:
Three of the four statements check out against the loop, and only the claim about E and A fails, since A's actual right-hand neighbour is H, not E.
Therefore, the correct answer is E will be to the immediate right of A.
With everyone seated in the fixed clockwise loop A-C-E-G-B-D-F-H (back to A), it helps to assign each seat a position number, 1 through 8, in this exact clockwise order: A=1, C=2, E=3, G=4, B=5, D=6, F=7, H=8, with position 8 followed by position 1 again. Facing the centre, a person's immediate left is the next position number clockwise, adding 1 and wrapping 8 back to 1, and their immediate right is the previous position number, subtracting 1 and wrapping 1 back to 8. Let's check each statement using this numbering:
Working through the position numbers confirms that only the claim about E being to the right of A fails; A's actual right-hand neighbour is H.
Therefore, the correct answer is E will be to the immediate right of A.
Using the same seating loop A - C - E - G - B - D - F - H (back to A), with clockwise steps giving a person's immediate left and anti-clockwise steps giving their immediate right, let's test each statement:
Only the statement about H sitting to the immediate right of A matches the seating loop.
Therefore, the correct answer is H will be to the immediate right of A.
Using the same position-numbering system, A=1, C=2, E=3, G=4, B=5, D=6, F=7, H=8 clockwise, with left neighbour at position+1 and right neighbour at position-1, wrapping around the 8 seats, let's check each statement:
Working through the position numbers shows that only the claim about H sitting to the right of A holds up.
Therefore, the correct answer is H will be to the immediate right of A.
The seating loop is A - C - E - G - B - D - F - H (back to A). A and F are not currently adjacent; going one way around the table from A we pass C, E, G, B, D before reaching F (five people in between), and going the other way we pass only H before reaching F. So the short path between A and F has exactly one person sitting in it: H. Let's test each option:
Since H is the sole obstruction between A and F, only a change in H's position can make them neighbours.
Therefore, the correct answer is H agrees to change her sitting position.
A and F are not currently neighbours, so the question asks whose seat would need to change to bring them together. A useful way to see this is to write out each person's current two neighbours as a small list, then look for anyone who appears in BOTH A's neighbour list and F's neighbour list, since such a shared person is effectively the single bridge sitting between them:
Since H is the only person common to both A's and F's immediate neighbour lists, only a change in H's seat can remove the single person separating A from F.
Therefore, the correct answer is H agrees to change her sitting position.
With eight people seated evenly around a round table, the person directly opposite anyone is exactly four seats away, counted in either direction, since \( 8 \div 2 = 4 \). Using the loop A - C - E - G - B - D - F - H (back to A), let's count four steps from A in each direction and check each option:
Counting four seats around the loop in either direction from A consistently lands on B, confirming they sit directly across from each other.
Therefore, the correct answer is A will be directly facing B.
On a round table seating exactly eight people, being "directly facing" someone means there are exactly three people sitting between the pair on each side, three plus the two people themselves plus three more equals all eight seats. Using the loop A-C-E-G-B-D-F-H (back to A), let's check each option by counting people on both sides:
Counting three people on both sides between A and B confirms they sit directly across the table from each other, while the other pairs fail this count.
Therefore, the correct answer is A will be directly facing B.
The question asks which two people H sits between. Instead of reconstructing the entire seating order, we can answer this directly from just two of the original clues. Clue (b) states "H will sit beside A", and clue (d) states "F will sit beside H". Since a round table gives every person exactly two immediate neighbours, and these two clues already name both of H's neighbours directly, no further reconstruction is needed to answer this particular question. Let's still check each option against this:
Since the original clues directly state that H sits beside both A and F, and no other person is ever linked to H, H's two neighbours are confirmed as A and F.
Therefore, the correct answer is A and F.
Using the completed seating loop A-C-E-G-B-D-F-H, back to A, we can find H's neighbours simply by locating H in this ring and reading off the person immediately before and immediately after it. Let's check each option against the ring directly:
Reading the ring directly around H's position shows its two immediate neighbours are F on one side and A on the other, matching only the second option.
Therefore, the correct answer is A and F.