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S, T, U, V, W, X and Y are sitting around a circular table facing the centre. S sits fourth to the left of W. T sits second to the right of S. V is neither the immediate neighbour of T nor S. X sits third to the right of V. Y is not the immediate neighbour of W. How many people are sitting between S and T, when counted from the left of S?
Four
Three
Two
One
Four
Place the most constrained variable (S and W) first, then proceed clockwise/anti-clockwise relative to the center to fix the remaining positions.
Place the most constrained variable (S and W) first, then proceed clockwise/anti-clockwise relative to the center to fix the remaining positions.
Fix S and W
Place W at top (12 o'clock). S sits 4th to the left of W. Since the table is circular with 7 people, 4th left is same as 3rd right.
Place T, V, and X
T sits 2nd to the right of S. V is not a neighbor of T or S. X sits 3rd to the right of V. Placing V at 9 o'clock forces X to 2 o'clock.
Final Seating
The sequence clockwise: W, X, U, S, T, Y, V. S sits at position 4. Counting leftwards from S: T(1), Y(2), V(3), W(4).
B: Three is incorrect because only two people (Y, V) are between S and T from the right; A: Four is correct as verified by the clockwise path: T, Y, V, W; C: Two is incorrect; D: One is incorrect.
A is correct because when moving left from S (counter-clockwise), the sequence is T, Y, V, W, which covers four people before reaching T again.
In circular puzzles with an odd number of people, always draw the table and map indices carefully, as left/right directions reverse relative to the viewer depending on the seat.