Only four people have exams after V. Only four people have exams before S. P has the exam after R but before V. T has the exam on some day after Q but not on Sunday.
How many people have exams between Q and U?
Schedule Constraints Analysis
We need to arrange 7 people (P, Q, R, S, T, U, V) for exams on 7 different days, from Monday to Sunday.
- 4 people after V: This constraint means V's exam must be on Wednesday. Only Thursday, Friday, Saturday, and Sunday are after Wednesday, accounting for 4 days.
- 4 people before S: This implies S's exam must be on Friday. Monday, Tuesday, Wednesday, and Thursday precede Friday, totaling 4 days.
Current Schedule Snapshot:
Monday: ?, Tuesday: ?, Wednesday: V, Thursday: ?, Friday: S, Saturday: ?, Sunday: ?
Determine Exam Order
P after R but before V: The condition is \( R < P < V \). Since V is on Wednesday, R and P must take the earlier available slots. R must be on Monday and P on Tuesday to satisfy this order.
Updated Schedule: Monday: R, Tuesday: P, Wednesday: V, Thursday: ?, Friday: S, Saturday: ?, Sunday: ?
T after Q, not on Sunday: The remaining people are Q, T, and U. The available days are Thursday, Saturday, and Sunday.
- T's exam cannot be on Sunday.
- Q's exam must occur before T's exam.
- Given the available days (Thursday, Saturday, Sunday), Q must take Thursday, and T must take Saturday.
- This leaves Sunday for the last person, U.
Final Exam Order:
- Monday: R
- Tuesday: P
- Wednesday: V
- Thursday: Q
- Friday: S
- Saturday: T
- Sunday: U
Calculate Exams Between Q and U
Q's exam is scheduled for Thursday.
U's exam is scheduled for Sunday.
The exams occurring between Thursday and Sunday are on Friday (S) and Saturday (T).
Counting these individuals, there are 2 people with exams scheduled between Q and U.
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 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?
