Seven people F, G, H, L, M, O and Q are sitting around a circular table, facing the centre of the table. Only one person sits between Q and L when counted from the right of Q. Only one person sits between L and M when counted from the left of M. Only one person sits between Q and G when counted from the right of G. Only two people sit between H and M when counted from the left of M. Only one person sits between F and G when counted from the right of F. Who sits to the immediate right and left of O, respectively?
Q and G
Label positions 1–7 going clockwise. All clues use 'right' = clockwise and 'left' = counter-clockwise for people facing the centre.
Clue 1: One person between Q and L counted from the right of Q (clockwise). So clockwise: Q, _, L. Place Q at position 1 → L at position 3.
Clue 3: One person between Q and G counted from the right of G (clockwise from G, skip 1, reach Q). Clockwise: G, _, Q. So G is 2 positions counter-clockwise from Q → G at position 6.
Clue 2: One person between L and M counted from the left of M (counter-clockwise from M, skip 1, reach L). Counter-clockwise: M, _, L. So M is 2 positions clockwise from L → M at position 5.
Current layout: Q(1), ?(2), L(3), ?(4), M(5), G(6), ?(7). Remaining people: F, H, O for positions 2, 4, 7.
Clue 4: Two people between H and M counted from the left of M (counter-clockwise: M, _, _, H). Going 3 steps counter-clockwise from M (position 5): position 2. So H is at position 2.
Updated: Q(1), H(2), L(3), ?(4), M(5), G(6), ?(7). Remaining: F, O for positions 4 and 7.
Clue 5: One person between F and G counted from the right of F (clockwise: F, _, G). If F is at position 4, then 2 steps clockwise = position 6 = G ✓ (one person, M, in between). This works.
So F is at position 4 and O is at position 7.
Final clockwise order: Q(1), H(2), L(3), F(4), M(5), G(6), O(7).
O is at position 7. Its immediate right (clockwise) is position 1 = Q; its immediate left (counter-clockwise) is position 6 = G.
Hence, Q sits to the immediate right and G sits to the immediate left of O.
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