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Seven people, N, F, X, G, Q, T and M, are sitting in a row, facing the north. Only two people sit between F and N. Only T sits to the right of X. Only one person sits between N and X. G sits at some place to the right of Q but at some place to the left of M. How many people sit to the left of G?
Three
Four
One
Two
Two
Fix the most restricted entity (X and T) first, as T only sits to the right of X (X, T) occupying the far right edge of the row.
Fix the most restricted entity (X and T) first, as T only sits to the right of X (X, T) occupying the far right edge of the row.
Establishing the right end
Since T sits to the right of X and no one else is to the right of T, the last two positions (6th and 7th) must be occupied by X and T respectively: [ _, _, _, _, _, X, T ].
Placing N and F
Only one person sits between N and X, so N must be at the 4th position. Two people sit between F and N, and since there is no space to the right of N, F must be at the 1st position: [ F, _, _, N, _, X, T ].
Placing Q, G, and M
The remaining spots are 2, 3, and 5. G must be between Q and M (Q < G < M). Placing Q at 2, G at 3, and M at 5 satisfies the condition: [ F, Q, G, N, M, X, T ].
Final count
The arrangement is F, Q, G, N, M, X, T. People to the left of G are F and Q. Thus, 2 people sit to the left of G.
A: Three is incorrect as G is at position 3, meaning only 2 people are on its left. B: Four is incorrect because position 5 would be occupied by M, not G. C: One is incorrect as it would only account for F or Q, ignoring the full sequence.
D is correct because based on the derived arrangement (F, Q, G, N, M, X, T), exactly two people (F and Q) sit to the left of G.
In row-based seating puzzles, always identify 'anchor' positions first (like ends or gaps) to restrict possibilities quickly.
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