Eight people are sitting around a circular table. Some of them are facing inside and some are facing outside. H sits second to the left of X and both face the opposite directions.... Eight people are sitting around a circular table. Some of them are facing inside and some are facing outside. H sits second to the left of X and both face the opposite directions. Neighbors of S face the opposite directions. G sits second to the right of F, who is not a neighbor of C. Q and G face the opposite directions. S faces outside and F sits second to the right of S. Three people are sitting between F and L. X, who is not a neighbor of S, sits immediate right of L. Neighbors of L face the opposite direction of L.
Understand the Problem
The question describes a seating arrangement problem involving eight people sitting around a circular table, specifying their positions and directions based on various clues. We need to analyze the clues systematically to determine the seating order of the individuals.
Answer
The arrangement is: S (outside), H (inside), F (outside), X (inside), G (outside), L (inside), Q (inside), C (outside).
Answer for screen readers
The positions are:
- S (outside)
- H (inside)
- F (outside)
- X (inside)
- G (outside)
- L (inside)
- Q (inside)
- C (outside)
Steps to Solve
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Initial Setup We have a circular arrangement of 8 people. Let’s denote the people with letters: F, G, H, L, Q, S, X, C. We will place them one by one based on the clues provided.
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Position of S From the clue "S faces outside and F sits second to the right of S," let's put S at position 1. Since S faces outside, F will be at position 3.
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Position of F Now we know F is at position 3. The clue states "G sits second to the right of F," so G will be at position 5.
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Position of H and X Next, "H sits second to the left of X and both face opposite directions." Since F (position 3) faces outside, H must face inside. Thus, if we place H at position 2, X will be at position 4 (second to the left of H).
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Position of L With "Three people are sitting between F and L," this means L must be at position 6 (three positions away from F at position 3).
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Position of Q and C Now, Q and G face opposite directions. Since we have placed G at position 5 (facing outside), Q must be at position 7 (facing inside).
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Final Arrangement Now, we have positions 1 to 8 filled as follows:
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S (facing outside)
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H (facing inside)
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F (facing outside)
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X (facing inside)
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G (facing outside)
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L (facing inside)
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Q (facing inside)
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C (facing outside)
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Check Neighbor Conditions Lastly, we check the clues regarding neighbors to ensure they all face opposite directions:
- H and F (neighbors), are facing opposite.
- F and G (neighbors), are facing opposite.
- G and L (neighbors), facing opposite.
All conditions are satisfied.
The positions are:
- S (outside)
- H (inside)
- F (outside)
- X (inside)
- G (outside)
- L (inside)
- Q (inside)
- C (outside)
More Information
This circular seating arrangement illustrates the importance of understanding positions and relationships within constraints, showcasing logic and reasoning skills.
Tips
- Forgetting to account for direction facing while placing individuals.
- Misinterpreting "second to the right" or "second to the left" in a circular arrangement.
- Mistaking neighbor relationships between the individuals.
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