Example 1: Six persons A, B, C, D, E, and F sit in a circle facing the center. A is opposite to D. B is immediately to the right of A. E is between D and F. Who sits immediately opposite to B?
Step-by-Step Mathematical Derivation:•Fix A at 6 o'clock position facing center.
•Since A is opposite D, D sits at 12 o'clock.
•B is immediately to the right of A (anti-clockwise when facing inward), so B is at 4 o'clock.
•E is between D and F. Since D is at 12 o'clock, E and F occupy either (10 o'clock, 8 o'clock) or (2 o'clock, 4 o'clock).
•Since 4 o'clock is occupied by B, E and F cannot be on that side. Therefore, E is at 10 o'clock and F is at 8 o'clock.
•Remaining position 2 o'clock is occupied by C.
•The person opposite B (at 4 o'clock) is at 10 o'clock, which is E.
Answer: E