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Seven people, B, C, D, E, F, G and K are sitting in a straight line, facing north. Only two people sit to the left of B. Only three people sit between B and K. F sits second to the right of B. Only two people sit between F and C. G sits at some place to the right of E but at some place to the left of D. How many people sit to the right of G?
One
Three
Two
Four
Three
Fix the position of B using the left-end condition, place people relative to B step-by-step, and then map the remaining positions for E, G, and D.
Fix the position of B using the left-end condition, place people relative to B step-by-step, and then map the remaining positions for E, G, and D.
Step 1: Position B and related members
Seven people are sitting in a straight line facing North. Since only two people sit to the left of B, B must be at the 3rd position from the left (1, 2, B). F sits second to the right of B, which places F at the 4th position.
Step 2: Position K, C, E, G, and D
Only three people sit between B and K, placing K at position 7 (the right end). Only two people sit between F and C, placing C at position 1 (the left end). G sits to the right of E and to the left of D, placing E at position 2, G at position 5, and D at position 6.
Step 3: Count people to the right of G
The final complete arrangement from left to right is: C, E, B, F, G, K, D. G is at position 5. The people to the right of G are K (position 6) and D (position 7), which equals Two people.
A: One is incorrect because there are two people (K and D) to the right of G. C: Three is incorrect as only two positions remain to the right of G. D: Four is incorrect as the total number of people is seven and G is at position 5.
B is correct because in the verified seating arrangement C, E, B, F, G, K, D, exactly two people (K and D) sit to the right of G.
In linear seating puzzles, always fix the anchor person with a definite end or relative position first, then place people with fixed distances before handling between/middle constraints.
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