A, B, C, D, E and F are sitting around a circular table facing the centre. D sits third to the right of C. A sits second to the left of C. E sits second to the right of F. B sits to the immediate right of E. How many people sit between A and F when counted from the left of A?

Question

Prepp Team · Accepted Answer

Circular Arrangement Logic

We need to arrange six people (A, B, C, D, E, F) around a circular table facing the center based on the given clues.

Determining Seat Positions

Place C first.
D sits third to the right of C. Counting clockwise from C: C -> 1st right -> 2nd right -> D (3rd right).
A sits second to the left of C. Counting counter-clockwise from C: C -> 1st left -> A (2nd left).
Let's visualize the arrangement relative to C (using numbers 1 to 6 clockwise): C is at position 1. D is at position 4. A is at position 5. The arrangement looks like: C, _, _, D, A, _. Seats 2, 3, and 6 are empty.
E sits second to the right of F. The only remaining seats for E and F are 2, 3, and 6. If F is at 6, the 1st right is C (1) and the 2nd right is E (at 2). This fits.
B sits to the immediate right of E. Since E is at 2, B must be at position 3.

The final clockwise arrangement is: C - E - B - D - A - F.

Calculating People Between A and F

The question asks for the number of people between A and F when counted from the left of A.

In the arrangement C - E - B - D - A - F:

A is positioned.
Counting from A's left (counter-clockwise): The next person is D (position 4), then B (position 3), then E (position 2), then C (position 1), and finally F (position 6).
The sequence moving left from A is: A -> D -> B -> E -> C -> F.
The people sitting strictly *between* A and F in this direction are D, B, E, and C.
There are 4 people between A and F when counted from A's left.