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Question

Each of Aditi, Aryan, Rahul, Kirti, Riya, Tanvi and Mia has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Aryan has an exam on Wednesday. Aditi has exam on the day immediately after Riya. Only two people have exams between Aryan and Riya. Rahul has exam on the day immediately after Kirti. Aryan has exam on the day immediately before Tanvi. How many people have exams after Mia?

The correct answer is
2

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.

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Important Questions from Scheduling Puzzle

  1. 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?
  2. 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?

  3. 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?

  4. 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?

  5. 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?
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