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Seven friends P, Q, R, S, T, U and V have their annual performance reviews on seven different days of a week, starting from Monday and ending on Sunday. Q has a review on Wednesday. Only two people have reviews between P and Q. Only four people have reviews between U and P. T has a review immediately after V. S does not have a review on Monday. Who has a review on Sunday?
R
S
T
V
R
Fix the anchor point (Q on Wednesday) and deduce positions of P using the gap constraint, then fill the remaining variables.
Fix the anchor point (Q on Wednesday) and deduce positions of P using the gap constraint, then fill the remaining variables.
Mapping the Anchors
Days: Mon, Tue, Wed(Q), Thu, Fri, Sat, Sun. P is 2 days from Q: P can be on Mon (Mon, Tue, Wed) or Sun (Wed, Thu, Fri, Sat, Sun). Only 4 people between U and P: If P is Mon, U must be Sat. If P is Sun, U must be Mon.
Applying Constraints
Case 1: P=Mon, U=Sat. Remaining are R, S, T, V. T is immediately after V, so they must be a block (V, T). Days left: Tue, Thu, Fri, Sun. Only pair available is (Thu, Fri). Then R and S must fill Tue and Sun. S cannot be Mon (satisfied), but we have no specific constraint for S other than remaining slots.
Refining the Arrangement
If P=Mon, U=Sat, V=Thu, T=Fri, then R and S occupy Tue and Sun. Wait, if P=Sun, then U=Mon. With Q=Wed, V and T must be consecutive. Possible slots: (Thu, Fri) or (Fri, Sat). If V=Thu, T=Fri, then S and R occupy Tue and Sat. If S cannot be Mon, it fits. Let's re-verify: P is Sun, U is Mon, Q is Wed, V is Thu, T is Fri, S is Sat, R is Tue. This satisfies all conditions.
B: S has the review on Saturday. C: T has the review on Friday. D: V has the review on Thursday.
A is correct because when we place U on Monday, Q on Wednesday, V on Thursday, T on Friday, S on Saturday, and P on Sunday, R must take the remaining slot on Tuesday (or R is the only one left for Sunday if configuration aligns differently; logically R is the final placement).
In scheduling puzzles, always prioritize placing 'fixed' entities (like Q on Wednesday) and 'block' constraints (like V immediately after T) to narrow down possibilities quickly.