HAT MCQs

In a four-seat circle, opposite positions form two pairs.
If A and C form one pair, B and D form the other.

If P is immediately clockwise from Q, then Q is immediately counterclockwise from P.
The relationship is reciprocal.

Opposite seats in an eight-person circle are four positions apart.
Three people lie between them along either path.

One clockwise step from A reaches B.
The second clockwise step reaches C.

A circular seat has one immediate neighbor on each side.
Therefore, B and C occupy opposite sides of A.

For people facing outward, right corresponds to counterclockwise movement.
Thus, B is counterclockwise from A.

For people facing the center, left corresponds to clockwise movement.
Therefore, D is clockwise from C.

Opposite positions preserve adjacency under a half-turn.
The seat opposite B, which is E, must be adjacent to the seat opposite A, which is D.

The first person to Q's left is P.
The second person to Q's left is R.

C occupies the seat immediately right of B.
If B is fifth, C is sixth.

An exact opposite seat requires an even number of equally spaced positions.
A seven-seat circle has no diametrically opposite seat.

The only seat next to P at the far left is position 2.
Because Q is not next to P, Q cannot sit second.