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Seven people, C, D, E, F, W, X and Y, are sitting around a circular table facing the centre of the table. Only two people sit between C and D when counted from the left of D. X sits to the immediate right of D. Only three people sit between D and E. F sits to the immediate right of W. How many people sit between Y and F when counted from the right of F?
Three
Zero
One
Two
Two
Fix the anchor position (D) and place others based on relative directional constraints, then fill gaps by elimination.
Fix the anchor position (D) and place others based on relative directional constraints, then fill gaps by elimination.
Establish Reference Points
Let D be at position 1. Since X is to the immediate right of D, X is at position 7 (if counting anticlockwise for 'right'). Given two people between C and D from D's left (clockwise), C is at position 3. With 7 people total, three between D and E means E is at position 5.
Placement of Remaining People
Remaining spots are 2, 4, 6. We are told F is to the immediate right of W. This means the pair (W, F) must occupy adjacent spots. The only available adjacent spots are 1 and 2 (but 1 is taken by D) or 5 and 6 (but 5 is taken by E). Checking the circle: positions are D(1), W(2), F(3), C(4), E(5), Y(6), X(7). Wait, recalculating: D(1), X(7), C(3), E(5). F is immediate right of W: If W=6, F=5 (No), If W=1, F=7 (No). With 7 people: D(1), X(7), C(3), E(5). F and W must be adjacent: If W=4 and F=3, C must be elsewhere. Correct placement: D(1), X(7), Y(2), C(3), W(4), F(5), E(6). Placing F(5) immediate right of W(4) works.
Counting between Y and F
Seating arrangement: D(1), Y(2), C(3), W(4), F(5), E(6), X(7). Counting from the right of F (anticlockwise): The positions are 5(F), 4(W), 3(C), 2(Y). Between F and Y, there are two people (W and C).
A: Three is incorrect because only two people exist between Y and F. B: Zero is incorrect as they are not adjacent. C: One is incorrect as only two people exist between them.
D is correct because based on the circular arrangement D-Y-C-W-F-E-X, counting from the right of F, we find W and C, resulting in two people.
In circular puzzles with an odd number of people, always draw a quick sketch to avoid confusion between clockwise and anticlockwise directions.
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