Logic Puzzle: Decoding the Weekly Exam Schedule
This problem involves creating a weekly exam schedule based on a set of given conditions. We need to determine which person has their exam on the last day of the week (Sunday).
Analyzing Exam Schedule Constraints
Let's break down the information provided:
- People: C, D, E, F, S, T, U (7 people)
- Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday (7 days)
- Condition 1: S has the exam on Thursday.
- Condition 2: T has the exam on Saturday.
- Condition 3: F has the exam immediately before U. This forms a block: (F, U).
- Condition 4: D has the exam immediately after U. This extends the block: (F, U, D). This means F, U, and D must occur on three consecutive days in that specific order.
- Condition 5: C has the exam on one of the days after E. This means E must come before C (E ... C).
Determining the Correct Exam Schedule
We can deduce the schedule step-by-step:
- Place Fixed Exams: We know S is on Thursday and T is on Saturday.
- Monday: ?
- Tuesday: ?
- Wednesday: ?
- Thursday: S
- Friday: ?
- Saturday: T
- Sunday: ?
- Analyze the Consecutive Block (F, U, D): This block requires three consecutive empty slots. Let's see where it can fit:
- The days available are Monday, Tuesday, Wednesday, Friday, and Sunday.
- The block (F, U, D) cannot start on Wednesday because Thursday is occupied by S.
- The block (F, U, D) cannot start on Friday because it would require Saturday (occupied by T) and Sunday.
- The only possibility is that the (F, U, D) block occupies Monday, Tuesday, and Wednesday.
- Monday: F
- Tuesday: U
- Wednesday: D
- Update the Schedule:
- Monday: F
- Tuesday: U
- Wednesday: D
- Thursday: S
- Friday: ?
- Saturday: T
- Sunday: ?
- Place Remaining People (E and C): The remaining people are E and C. The remaining days are Friday and Sunday. We must satisfy the condition that E comes before C (E ... C).
- To satisfy E ... C, E must take the earlier available slot (Friday) and C must take the later available slot (Sunday).
Final Exam Schedule
Based on the deductions, the complete schedule is:
| Day | Person |
|---|---|
| Monday | F |
| Tuesday | U |
| Wednesday | D |
| Thursday | S |
| Friday | E |
| Saturday | T |
| Sunday | C |
Conclusion on Sunday's Exam
Looking at the final schedule, the person who has the exam on the last day of the week, Sunday, is C.
Important Questions from Scheduling Puzzle
- Each of O, P, Q, R, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. S has an exam on Wednesday. R has an exam on one of the days after P and T has an exam on one of the days before Q. U has an exam immediately after O and S has an exam immediately before O. T has an exam on one of the days after U. How many people have an exam between S and Q?
- Each of C, D, E, F, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. F has the exam on Friday. Only two people have their exams between T and F. Only four people have their exams between E and T. S has the exam immediately after U. D does not have the exam on Monday. How many people have their exams before D and after C?
- Each of M, N, O, P, Q, R and S has an exam on a different day of the week, starting from Monday and ending on Sunday of the same week. S has an exam on Friday. Only two people have exams between S and R. O has an exam immediately before N. M has an exam immediately after P. S has an exam on one of the days after M. On which day does Q have an exam?
Each of J, K, L, M, N, O and P has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only two people have exams before P. Only one person has an exam after L. Only three people have exams between P and J. Only one person has an exam between K and L. O has an exam immediately after M.
How many people have exams between M and N?Each of C, D, E, F, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. No one has an exam before D. Only three people have their exams between D and T. Only one person has the exam between T and S. C has the exam on Wednesday. E has the exam on one of the days after F but on one of the days before U. On which day of the week does E have the exam?
