Question

Which of the following is wrong?

• A. A will be to the immediate right of C
• B. D will be to the immediate left of B
• C. E will be to the immediate right of A
• D. F will be to the immediate left of D
• A. B will be to the immediate left of D
• B. H will be to the immediate right of A
• C. C will be to the immediate right of F
• D. B will be to the immediate left of H
• A. B agrees to change her sitting position
• B. C agrees to change her sitting position
• C. G agrees to change her sitting position
• D. H agrees to change her sitting position
• A. A will be directly facing C
• B. B will be directly facing C
• C. A will be directly facing B
• D. B will be directly facing D
• A. C and B
• B. A and F
• C. D and C
• D. E and G

Answer 1

The Correct Option is C

Step 1: The seating circle works out to A, C, E, G, B, D, F, H, back to A, with each name's neighbour in the "left" direction being the next name in this list, and the "right" direction being the previous name.

Step 2: Checking each statement: A is to the immediate right of C is true (right of C is A), D is to the immediate left of B is true (left of B is D), and F is to the immediate left of D is true (left of D is F).

Step 3: The claim that E is to the immediate right of A does not hold, because A's immediate right neighbour is actually H, not E.

\[ \boxed{\text{Wrong statement: E will be to the immediate right of A}} \]

Answer 2

Another way to check these statements is to count how many seats apart each named pair actually is, since immediate left or right neighbours must always be exactly one seat apart.

1. A will be to the immediate right of C: Counting around the circle A, C, E, G, B, D, F, H, A sits exactly one seat from C, confirming they are immediate neighbours, and specifically on C's right.
2. D will be to the immediate left of B: D sits exactly one seat from B in the circle, on B's left side, so this statement is accurate.
3. E will be to the immediate right of A: Counting from A to E around the circle, A, C, E, takes two steps, not one, so E is two seats away from A, not immediately beside it. This statement is inaccurate.
4. F will be to the immediate left of D: F sits exactly one seat from D, on D's left, matching this statement.

Three of the four pairs are exactly one seat apart, true immediate neighbours, while A and E turn out to be two seats apart, too far to be immediate neighbours on either side.

Therefore, the correct answer is E will be to the immediate right of A.

Answer 3

Step 1: With the seating circle A, C, E, G, B, D, F, H, looping back to A, a person's immediate right is the name just before them in this list.

Step 2: The name just before A in the list is H, so H sits to A's immediate right, matching the statement directly.

Step 3: Checking the rest confirms they fail: left of D is F not B, right of F is D not C, and left of H is A not B.

\[ \boxed{\text{Correct statement: H will be to the immediate right of A}} \]

Answer 4

We can also verify these claims by counting seat-distance around the circle A, C, E, G, B, D, F, H, back to A.

1. B will be to the immediate left of D: Counting from D, the seat to D's left in the circle is F, not B, so B is not D's immediate left neighbour.
2. H will be to the immediate right of A: Counting backward from A by one seat lands on H, exactly one step away, confirming H sits directly to A's right.
3. C will be to the immediate right of F: Counting backward from F by one seat lands on D, not C, so this pairing is incorrect.
4. B will be to the immediate left of H: Counting forward from H by one seat lands on A, not B, so this pairing is incorrect too.

Only the H-A pairing turns out to be exactly one seat apart in the correct direction, confirming H sits to A's immediate right.

Therefore, the correct answer is H will be to the immediate right of A.

Answer 5

Step 1: In the seating circle A, C, E, G, B, D, F, H, back to A, the stretch near A and F reads ...D, F, H, A, C..., so H is the single person sitting directly between A and F.

Step 2: For A and F to become neighbours, the person currently separating them, H, must vacate that spot.

Step 3: No one else in the circle sits between A and F, so only H moving away can close that gap.

\[ \boxed{\text{A and F become neighbours if H changes position}} \]

Answer 6

Looking at the full circle A, C, E, G, B, D, F, H, back to A, notice that everyone except H lies along the long stretch running from C all the way around to F, through E, G, B and D. That stretch has its own fixed internal order and doesn't touch the short A-H-F link at all.

1. B agrees to change her sitting position: B sits in the middle of that long C-to-F stretch, moving her would only rearrange people within that stretch, not shorten the separate A-H-F gap.
2. C agrees to change her sitting position: C anchors one end of the long stretch, next to A, but the gap between A and F runs through H on the other side entirely, so moving C doesn't affect it.
3. G agrees to change her sitting position: G also sits within the long stretch, far from the short A-H-F link.
4. H agrees to change her sitting position: H is the sole occupant of the short link directly joining A and F. Only vacating this specific seat shortens that link to zero, letting A and F sit together.

The table splits into a short A-H-F link and a long loop through everyone else, and only changing the one person on the short link, H, can bring A and F together.

Therefore, the correct answer is H agrees to change her sitting position.

Answer 7

Step 1: With eight people seated evenly around the table, the person directly opposite anyone is the one exactly four seats away.

Step 2: Starting from A in the order A, C, E, G, B, D, F, H, counting four seats forward, A, C, E, G, B, lands on B.

Step 3: So A and B sit directly across the table from each other, the only option where the two named people are four seats apart.

\[ \boxed{\text{A is directly facing B}} \]

Answer 8

Imagine the eight seats laid out like the hours on a clock face, with A at the 12 o'clock position. Moving clockwise through the seating order A, C, E, G, B, D, F, H places C at 1:30, E at 3:00, G at 4:30, B at 6:00, D at 7:30, F at 9:00 and H at 10:30. The seat directly opposite 12 o'clock is 6 o'clock. Let's check each option against this clock layout:

1. A will be directly facing C: C sits at the 1:30 position, nowhere near the opposite 6 o'clock mark from A's 12 o'clock seat.
2. B will be directly facing C: B sits at 6 o'clock and C sits at 1:30, these two are not opposite each other on the clock face, they sit a quarter-circle apart, not half.
3. A will be directly facing B: A sits at 12 o'clock and B sits at 6 o'clock, exactly opposite positions on the clock face, confirming they face each other directly.
4. B will be directly facing D: B sits at 6 o'clock and D sits at 7:30, immediately next to each other on the clock face, not opposite.

Laying the seating order out like clock positions shows A at 12 o'clock and B at 6 o'clock, precisely opposite each other around the table.

Therefore, the correct answer is A will be directly facing B.

Answer 9

Step 1: In the circle A, C, E, G, B, D, F, H, back to A, H sits between the name right before it and the name right after it.

Step 2: The name right before H is F, and the name right after H, looping back, is A.

Step 3: So H's two immediate neighbours are F and A, matching this option and ruling out the other three pairings.

\[ \boxed{\text{H sits between A and F}} \]

Answer 10

Numbering the seats around the table 1 through 8 following the order A(1), C(2), E(3), G(4), B(5), D(6), F(7), H(8), and wrapping back to A(1), we can find H's neighbours by simple addition and subtraction of seat numbers.

1. C and B: C sits at seat 2 and B sits at seat 5, neither one seat away from H's seat 8 (seats 7 or 1), so this pair is wrong.
2. A and F: A sits at seat 1, and seat 8 plus 1, wrapping around, lands on seat 1, so A is one seat from H. F sits at seat 7, one seat before H's seat 8. Both A and F sit exactly one seat from H, on either side.
3. D and C: D sits at seat 6 and C sits at seat 2, neither is seat 7 or seat 1, so this pair does not match H's neighbours.
4. E and G: E sits at seat 3 and G sits at seat 4, both far from seats 7 and 1, ruling this pair out as well.

Using seat numbers, H at seat 8 has seat 7 (F) on one side and seat 1 (A) on the other, confirming A and F as H's two immediate neighbours.

Therefore, the correct answer is A and F.