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 V and T. Only two people have exams between R and T. Q has the exam immediately after R. S has the exam immediately before P but after T.

How many people have exams between P and U?

The correct option is Two.

Let us determine the order of exams for each person from Monday to Sunday step-by-step based on the given clues:

1. Days of the week: There are 7 days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday.

2. Clue 1: "Only five people have exams between V and T."
Since there are 7 days in total, having 5 people between V and T means V and T must be scheduled on Monday and Sunday (the 1st and 7th days).

3. Clue 2: "S has the exam immediately before P but after T."
Since S has an exam after T, T cannot be on Sunday. Therefore, T must have the exam on Monday, and V must have the exam on Sunday.

4. Clue 3: "Only two people have exams between R and T."
With T on Monday (Day 1), placing 2 people between R and T means R's exam is on Thursday (Day 4).

5. Clue 4: "Q has the exam immediately after R."
Since R is on Thursday, Q's exam must be on Friday (Day 5).

6. Clue 5: "S has the exam immediately before P but after T."
The available days remaining for S and P to be consecutive are Tuesday (Day 2) and Wednesday (Day 3). Thus, S is on Tuesday and P is on Wednesday.

7. Remaining person U:
The only day left unfilled is Saturday (Day 6), so U has the exam on Saturday.

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

Now, let us answer the question: "How many people have exams between P and U?"
P has the exam on Wednesday, and U has the exam on Saturday. The people between them are R (Thursday) and Q (Friday), which makes a total of 2 people (Two).