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 after T. Only five people have exams before R. U has exam immediately before P. V has exam before U but on someday after S.

How many people have exams between V and Q?

The correct option is Three.

Let's determine the schedule of exams for each person day by day, starting from Monday to Sunday, to see why this answer is correct.

The days of the week in order are:
1. Monday
2. Tuesday
3. Wednesday
4. Thursday
5. Friday
6. Saturday
7. Sunday

Let us analyze the clues step-by-step:

Step 1: Locate T's exam day
We are told: "Only five people have exams after T."
Since there are 7 days (and 7 people total), if exactly 5 people have exams after T, T must have their exam on the 2nd day of the week, which is Tuesday (leaving 5 days: Wednesday, Thursday, Friday, Saturday, and Sunday for the other 5 people).

Step 2: Locate R's exam day
We are told: "Only five people have exams before R."
If exactly 5 people have exams before R, R must have their exam on the 6th day of the week, which is Saturday (preceded by Monday, Tuesday, Wednesday, Thursday, and Friday).

So far, our schedule looks like this:
- Monday: _
- Tuesday: T
- Wednesday: _
- Thursday: _
- Friday: _
- Saturday: R
- Sunday: _

Step 3: Place U and P
We are told: "U has exam immediately before P."
This means U and P must occupy two consecutive empty slots: (U, P).
The available consecutive slots are:
- (Wednesday, Thursday)
- (Thursday, Friday)
- (Saturday, Sunday) is not possible because Saturday is already occupied by R.

Step 4: Use the clues for S, V, and U
We are told: "V has exam before U but on someday after S."
This gives us a relative ordering: S comes before V, and V comes before U (S < V < U).
Since V and S must both have exams before U, U cannot be on Wednesday (since that would leave only Monday for both S and V, which is impossible as they need separate days).
Therefore, the consecutive pair (U, P) must be placed on Thursday and Friday respectively.
- Thursday: U
- Friday: P

Now, let's look at the remaining days for S and V:
We know S must have an exam before V (S < V), and both must have exams before U (Thursday).
The remaining empty slots before Thursday are Monday and Wednesday (Tuesday is occupied by T).
Thus, we must place:
- Monday: S
- Wednesday: V

Step 5: Place the final person Q
The only remaining day is Sunday, which must be assigned to the remaining person, Q.
- Sunday: Q

Final Schedule Summary:
- Monday: S
- Tuesday: T
- Wednesday: V
- Thursday: U
- Friday: P
- Saturday: R
- Sunday: Q

Step 6: Answer the question
We need to find how many people have exams between V and Q.
- V has their exam on Wednesday.
- Q has their exam on Sunday.
The days between Wednesday and Sunday are Thursday, Friday, and Saturday.
The people who have exams on these days are U, P, and R.
Counting them, we find exactly three people (U, P, and R) have exams between V and Q.