Six friends A, B, C, D, E, and F are sitting around the hexagonal table each…
2025
Six friends A, B, C, D, E, and F are sitting around the hexagonal table each at one corner and are facing the center of the hexagon. A is second to the left of F. B is a neighbor of C and D. E is second to the left of D.
Which one is sitting opposite to E?
- A.
C
- B.
F
- C.
D
- D.
B
Attempted by 38 students.
Show answer & explanation
Correct answer: D
Key idea: fix one seat to remove rotational symmetry and place everyone using the clues.
Step 1: Place F in any seat as a reference (we can fix F because the table is symmetric).
Step 2: A is second to the left of F. When facing the center, left means the next seat clockwise, so A sits two seats clockwise from F.
Step 3: B is a neighbor of C and D, so B must sit between C and D (B has C and D on its two adjacent seats).
Step 4: E is second to the left of D, so E is two seats clockwise from D.
Step 5: With F and A fixed, the only way to place B between C and D and satisfy E being two seats clockwise of D leaves E and B three seats apart (opposite seats in a 6-person circle).
Answer: B is sitting opposite E.