Initial Setup and Constraints
The problem requires scheduling meetings for seven friends (A, B, C, D, E, F, G) on different days of the week from Monday to Sunday. Key constraints are provided.
- Fixed Day: C's meeting is on Thursday.
Starting schedule:
Mon, Tue, Wed, Thu(C), Fri, Sat, Sun
Deducing the Schedule Step-by-Step
- Constraint: One person between C and F.
- With C on Thursday, F must be on Saturday (with Friday between them). F cannot be on Wednesday because that would place no one between C and F.
Updated schedule: Mon, Tue, Wed, Thu(C), Fri, Sat(F), Sun
- Constraint: A's meeting immediately before F's.
- Since F is on Saturday, A must be on Friday.
Updated schedule: Mon, Tue, Wed, Thu(C), Fri(A), Sat(F), Sun
- Constraint: A's meeting not on Monday.
- A is on Friday, satisfying this condition.
- Constraint: Two people between A and G.
- A is on Friday.
- If G is after A, there isn't enough space (only Sunday available, leaving just Saturday between).
- If G is before A, we need two days between them. Placing G on Tuesday works, with Wednesday and Thursday(C) falling between G(Tue) and A(Fri).
Updated schedule: Mon, Tue(G), Wed, Thu(C), Fri(A), Sat(F), Sun
- Constraint: B's meeting after D's, and B's meeting before E's.
- This implies the order D ... B ... E.
- The remaining days are Monday, Wednesday, and Sunday.
- The only way to place D, B, and E in these slots respecting the order is: D on Monday, B on Wednesday, and E on Sunday.
Final Schedule and Answer
The complete, deduced schedule is:
- Monday: D
- Tuesday: G
- Wednesday: B
- Thursday: C
- Friday: A
- Saturday: F
- Sunday: E
Based on this schedule, B's meeting is on Wednesday.
Important Questions from Scheduling Puzzle
- P, Q, R, S, T, U and V have an exam on different days of the week starting on Monday and ending on Sunday. Q has an exam on Friday. Exactly 3 people have an exam between R and T, neither of whom has on exam on Sunday. P has an exam immediately after U. V has an exam immediately before T. Who among the following has an exam on Wednesday?
Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. V has an exam on Tuesday. Exactly 2 people have an exam between V and P. S has an exam immediately before T, and Q has an exam immediately after R. Only 1 person has an exam between T and R
How many people have an exam before S?Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only five people have exams between T and Q. U has an exam on Thursday. S has an exam immediately after Q. R has an exam immediately after P. How many people have exams between V and T?
P, Q, R, S, T, U and V have an exam on different days of the week starting on Monday and ending on Sunday. Q has an exam on Wednesday. Exactly 4 people have an exam between T and U, neither of whom has an exam on Monday. R has an exam immediately before S and V has an exam immediately after S. P has an exam immediately before T.
How many people have an exam between P and R?- Each of P, Q, R, S, T, U and V has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. V has an exam on Thursday. Exactly 4 people have their exams between U and Q, neither of whom has an exam on Sunday. T has an exam immediately before S. R does not have an exam on Friday. U does not have an exam after S. How many people have exams after Q?
