W has an exam on Friday. Exactly 3 people have exams between A and M, neither of whom has on exam on Sunday. Q has an exam immediately after I. O has an exam immediately before M. How many people have exams after Q?
We need to determine how many people have their exams after Q, given the schedule constraints for the exams of A, C, I, M, O, Q, and W throughout a week, starting from Monday and ending on Sunday.
Let's analyze the given conditions step-by-step:
- W has an exam on Friday.
- There are exactly three people between A and M. Neither A nor M has an exam on Sunday.
- Q has an exam immediately after I.
- O has an exam immediately before M.
Let's arrange these in the context of a week:
| Day | Person |
|---|---|
| Monday | |
| Tuesday | |
| Wednesday | A |
| Thursday | O |
| Friday | W |
| Saturday | M |
| Sunday |
Now, let's place the remaining individuals:
- I must have the exam immediately before Q, leaving Tuesday and Sunday as possible days for their exams since A, O, W, and M are already placed.
- If I takes Tuesday, Q must take Wednesday. But A has Wednesday which contradicts the conditions. So, I takes Sunday and Q takes Saturday.
- Thus, I sits on Sunday and Q sits on Monday.
- C, being the remaining person, would take the only available open slot, which is Tuesday.
| Day | Person |
|---|---|
| Monday | Q |
| Tuesday | C |
| Wednesday | A |
| Thursday | O |
| Friday | W |
| Saturday | M |
| Sunday | I |
From the final arrangement, after the exam on Monday (which is Q's exam), there are three more exams (C, A, and O) that occur before the week ends. Therefore, the number of exams after Q is 3.
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