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P, Q, R, S, T, U and V are sitting around a circular table, facing the centre. Only two people sit between Q and R when counted from the right of R. Only three people sit between S and V when counted from the right of V. P sits to the immediate right of S. T is an immediate neighbour of V as well as R. How many people sit between Q and P when counted from the left of Q?
One
Two
Three
Four
Two
Fix the position of one anchor (V or R) and place neighbors relative to it, following the circular order clockwise/counter-clockwise strictly.
Fix the position of one anchor (V or R) and place neighbors relative to it, following the circular order clockwise/counter-clockwise strictly.
Establish the Circular Framework
Let 7 seats be numbered 1 to 7 clockwise. Place V at position 1. Only 3 people between S and V (counted from right of V) means S is at position 5 (1+4=5). Since P is immediate right of S, P is at position 6.
Place the remaining members
T is an immediate neighbor of V and R. Since V is at 1, T must be at 7 (immediate left) or 2 (immediate right). If T is 2, then R must be 3. Let's check constraint: only two people between Q and R (from right of R). If R is 3, right of R is 4, 5, 6... position 6 is P, position 5 is S. Counting two from R's right (4, 5), Q would be 6, but P is there. So, R must be 7, T is 2, V is 1. Now R is 7, right of R is 1, 2, 3. Two people between Q and R from right of R means Q is 3.
Final Sequence and Verification
Sequence (clockwise): V(1), T(2), Q(3), U(4), S(5), P(6), R(7). Counting people between Q(3) and P(6) from left of Q (clockwise): 4, 5. Two people (U and S) sit between them.
A: One person is incorrect as the gap is clearly two; C: Three people is incorrect as it skips one valid seat; D: Four people is incorrect as it exceeds the actual gap of two.
B is correct because the sequence V, T, Q, U, S, P, R confirms that U and S (two people) sit between Q and P when counted from the left of Q.
In circular puzzles, always determine the direction (clockwise/counter-clockwise) for 'right' and 'left' carefully; 'right' means anti-clockwise for a person facing the center.
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