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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 (VorR) and place neighbors relative to it, following the circular order clockwise/counter-clockwise strictly.
Fix the position of one anchor (VorR) 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.