This problem requires determining the exam schedule based on given clues to find the number of exams scheduled after Mia's.
Exam Schedule Deduction
We have 7 days (Monday to Sunday) and 7 people. Let's map the schedule step-by-step:
- Aryan's exam is on Wednesday (Wed).
- Aryan's exam is immediately before Tanvi's exam. Therefore, Tanvi's exam is on Thursday (Thu).
- There are exactly two people with exams between Aryan (Wed) and Riya. This means Riya's exam must be on Saturday (Sat). (Wed -> Thu(P1) -> Fri(P2) -> Sat(Riya)).
- Aditi's exam is immediately after Riya's exam. Since Riya's is on Saturday, Aditi's is on Sunday (Sun).
The schedule so far:
- Monday: ?
- Tuesday: ?
- Wednesday: Aryan
- Thursday: Tanvi
- Friday: ?
- Saturday: Riya
- Sunday: Aditi
Placing Remaining People
The remaining people are Rahul, Kirti, and Mia. The remaining days are Monday, Tuesday, and Friday.
- Rahul has an exam on the day immediately after Kirti. This means Kirti and Rahul must occupy consecutive days. The only consecutive available slots are Monday and Tuesday. So, Kirti has an exam on Monday (Mon), and Rahul has an exam on Tuesday (Tue).
- The only person left is Mia, and the only day left is Friday (Fri).
Final Exam Schedule
The complete schedule is:
- Monday: Kirti
- Tuesday: Rahul
- Wednesday: Aryan
- Thursday: Tanvi
- Friday: Mia
- Saturday: Riya
- Sunday: Aditi
Exams After Mia
Mia has an exam on Friday. The exams scheduled after Friday are:
- Riya (Saturday)
- Aditi (Sunday)
Therefore, 2 people have exams after Mia.
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?
