Persons O to Z are seated around a triangle shape chair such that three people were seated on each edge and one person on each corner. Only five people sit between X and W and neither X nor W sits at corners. S who sits at one of the corner is third to the right of W. T, who is second to left of W, is immediate left of R. Only two people sit between T and U, who is immediate neighbour of X. O, P and Q were seated in the middle of each edge. Two people sit between Y and O, who doesn’t sit near W. S is an immediate neighbour to both Z and V, who is an immediate neighbour to P.
Question
Persons O to Z are seated around a triangle shape chair such that three people were seated on each edge and one person on each corner. Only five people sit between X and W and neither X nor W sits at corners. S who sits at one of the corner is third to the right of W. T, who is second to left of W, is immediate left of R. Only two people sit between T and U, who is immediate neighbour of X. O, P and Q were seated in the middle of each edge. Two people sit between Y and O, who doesn’t sit near W. S is an immediate neighbour to both Z and V, who is an immediate neighbour to P.
Solution
Sure, I can help with that. Let's break it down step by step:
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We know that there are 3 people on each edge and 1 person on each corner of the triangle. This means there are 9 people in total.
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X and W are not at the corners and there are 5 people between them. This means they must be on the same edge of the triangle.
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S is at a corner and is third to the right of W. This means W must be on the edge to the left of the corner where S is sitting.
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T is second to the left of W and is immediate left of R. This means T and R are on the same edge as W, with T between W and R.
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There are only 2 people between T and U, and U is an immediate neighbour of X. This means U and X are on the same edge, but not the same edge as W, T, and R.
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O, P, and Q are in the middle of each edge. Since W, T, and R are on one edge, and U and X are on another edge, O, P, and Q must be on the third edge.
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There are 2 people between Y and O, and O doesn't sit near W. This means Y must be on the same edge as U and X.
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S is an immediate neighbour to both Z and V, and V is an immediate neighbour to P. This means Z, S, and V are at the corners, and P is on the edge with O and Q.
So, the seating arrangement should look something like this:
- Edge 1: W - T - R
- Edge 2: U - X - Y
- Edge 3: O - P - Q
- Corners: Z - S - V
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