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Each of A, B, C, D, E, F, and G has an exam on a different day of the week, starting from Monday and ending on Sunday of the same week. A has an exam on Tuesday. F has an exam immediately after A. Only one person has an exam between F and B. C has an exam immediately after B. D has an exam immediately after C. No one has exam before G. On which day does E have an exam?
Wednesday
Friday
Thursday
Monday
Thursday
Map the fixed positions first (A, G) then use the link (F-A) and the block (B-C-D) to fill the remaining empty slots.
Map the fixed positions first (A, G) then use the link (F-A) and the block (B-C-D) to fill the remaining empty slots.
Establish Fixed Positions
Days are Monday (1), Tuesday (2), Wednesday (3), Thursday (4), Friday (5), Saturday (6), Sunday (7). G has no one before him, so G is Monday. A is Tuesday.
Determine F, B, C, D placements
F is immediately after A (F = Wednesday). Only one person between F (Wed) and B, so B must be Friday (Skipping Thursday). C is immediately after B, so C is Saturday. D is immediately after C, so D is Sunday.
Find E
With G(Mon), A(Tue), F(Wed), B(Fri), C(Sat), D(Sun) filled, the only remaining person E must take the remaining Thursday slot.
A: Wednesday is occupied by F. B: Friday is occupied by B. D: Monday is occupied by G.
C is correct because after placing G(Mon), A(Tue), F(Wed), B(Fri), C(Sat), and D(Sun) according to the constraints, E is the only one left to occupy Thursday.
In scheduling puzzles, always look for the 'extreme' constraints first (like G having no one before him) as they lock the grid positions immediately.
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