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E, R, U, T, Y, W and Q are sitting around a circular table, facing the centre of the table. U sits third to the left of Q. W sits second to the left of R. Q is the immediate neighbour of both T and W. E is not an immediate neighbour of U. How many people sit between W and Y when counted from the right of Y?
1
3
4
2
2
Fix the reference point (Q) and place neighbors relative to it immediately to lock the circular positions.
Fix the reference point (Q) and place neighbors relative to it immediately to lock the circular positions.
Establish the base reference
Place Q at the bottom (position 1). Since U is third to the left, U is at position 6 (counting clockwise/left). Q is between T and W, so T and W occupy positions 7 and 2.
Place remaining people
W is second to the left of R. If W is at position 2, R must be at position 4. Now, E is not next to U. With positions 1(Q), 2(W), 3(empty), 4(R), 6(U), 7(T) filled, E must be at position 5. This leaves Y at position 3.
Identify the final arrangement
Positions: 1:Q, 2:W, 3:Y, 4:R, 5:E, 6:U, 7:T. Looking at the right of Y (position 3), moving clockwise/right: position 4(R), 5(E), 6(U), 7(T). There are 3 people (R, E, U) between Y and W.
A: 1 is incorrect as Y and W are separated by 3 seats. C: 4 is incorrect because there are only 7 people total. D: 2 is incorrect as the count of R, E, U equals 3.
B is correct because the arrangement 1-Q, 2-W, 3-Y, 4-R, 5-E, 6-U, 7-T confirms that counting from the right of Y (counter-clockwise/left), there are 3 people (R, E, U) before reaching W.
In circular arrangement puzzles, always look for the most constrained piece of information (the anchor) to start your diagram.
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