Eight persons A, B, C, D, E, F, G, and H are sitting around a circle facing…
2025
Eight persons A, B, C, D, E, F, G, and H are sitting around a circle facing the center. C is second to the right of A. E is opposite C. F is to the immediate left of E. B is to the immediate right of A. G is to the immediate left of D. Who is sitting to the right of D?
Answer: D. F — Concept. When people sit in a circle facing the centre, each person’s right hand points anticlockwise and their left hand points clockwise, so the seat…
- A.
H
- B.
G
- C.
B
- D.
F
Attempted by 1 students.
Show answer & explanation
Correct answer: D
Concept. When people sit in a circle facing the centre, each person’s right hand points anticlockwise and their left hand points clockwise, so the seat "immediately to the right of X" is the next seat anticlockwise from X. In a circle of n seats, "opposite" means exactly n / 2 seats away, which is 4 seats apart when 8 people are seated. Only relative positions are fixed, so one person can be pinned to an arbitrary seat and every other clue read as an offset from someone already placed.
Applying it here.
Pin A to a seat and number the seats 1 to 8 so that seat k + 1 is the seat immediately to the right of seat k. That makes A seat 1.
"B is to the immediate right of A" puts B in seat 2.
"C is second to the right of A" means counting two seats rightward from A — seat 2, then seat 3 — so C takes seat 3.
"E is opposite C" means 8 / 2 = 4 seats away from seat 3, so E takes seat 7.
"F is to the immediate left of E" moves one seat the other way from seat 7, so F takes seat 6.
Seats 4, 5 and 8 are still free, for D, G and H. The clue "G is to the immediate left of D" needs G and D in consecutive seats, and among 4, 5 and 8 the only consecutive pair is 4 and 5 — seat 8 lies between seat 7 and seat 1, both already occupied. So G takes seat 4 and D takes seat 5.
H, whom no clue mentions, takes the last free seat, seat 8. Read rightward, the circle is A, B, C, G, D, F, E, H.
D is in seat 5, so the seat immediately to D’s right is seat 6, which holds F.
Cross-check.
Test every clue against A, B, C, G, D, F, E, H: C is two seats right of A, E is four seats from C, F is one seat left of E, B is one seat right of A, and G is one seat left of D. All five hold.
The seating is unique: seats 1, 2, 3, 6 and 7 were forced, and step 6 leaves exactly one way to fit G and D, so no second arrangement satisfies the clues.
Mirror test — redo the whole derivation reading "right" as the other way round the circle. A takes seat 1, B seat 8, C seat 7, E seat 3 and F seat 4; the only consecutive free pair for G and D becomes seats 6 and 5, so D again ends up next to F. The answer does not depend on which way the circle is drawn.
So the person sitting immediately to the right of D is F.