Let's break down the exam schedule step by step to figure out how many people have exams between S and Q.
Analyzing the Constraints
- There are 7 people (O, P, Q, R, S, T, U) and 7 days (Monday to Sunday). Each person has an exam on a different day.
- Constraint 1: S has an exam on Wednesday.
- Constraint 5: S has an exam immediately before O. Since S is on Wednesday, O must be on Thursday. (S = Wednesday, O = Thursday)
- Constraint 4: U has an exam immediately after O. Since O is on Thursday, U must be on Friday. (O = Thursday, U = Friday)
- Constraint 6: T has an exam on one of the days after U. Since U is on Friday, T must be on Saturday or Sunday. (U = Friday, T = Saturday or Sunday)
- Constraint 3: T has an exam on one of the days before Q.
- If T is on Saturday, Q must be on Sunday (since Sunday is the last day).
- If T were on Sunday, Q could not be scheduled after T. So, T must be on Saturday and Q on Sunday.
- So far, we have the schedule: S = Wednesday, O = Thursday, U = Friday, T = Saturday, Q = Sunday.
- The remaining people are P and R. The remaining days are Monday and Tuesday.
- Constraint 2: R has an exam on one of the days after P. This means P must be on Monday and R must be on Tuesday. (P = Monday, R = Tuesday)
Final Exam Schedule
Based on the deductions, the complete schedule is:
| Day | Person |
|---|---|
| Monday | P |
| Tuesday | R |
| Wednesday | S |
| Thursday | O |
| Friday | U |
| Saturday | T |
| Sunday | Q |
Determining Exams Between S and Q
The question asks how many people have an exam between S and Q.
- S has an exam on Wednesday.
- Q has an exam on Sunday.
- The days between Wednesday and Sunday are Thursday, Friday, and Saturday.
- The people scheduled on these days are O (Thursday), U (Friday), and T (Saturday).
- Therefore, there are 3 people (O, U, T) with exams between S and Q.
The number of people with exams between S and Q is 3.
Important Questions from Scheduling Puzzle
- 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 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. S has the exam on Thursday and T has the exam on Saturday. F has the exam immediately before U. C has the exam on one of the days after E. D has the exam immediately after U. Who has the exam on the last day of the week?
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?
