Exam Schedule Deduction

We need to determine the order of exams for seven people (P, Q, R, S, T, U, V) from Monday to Sunday based on the given clues.

Applying Constraints

• Day Assignment: The week starts on Monday and ends on Sunday.
• Clue 1: P has an exam on Wednesday.

  Schedule: _ , _ , P , _ , _ , _ , _

• Clue 2: Only three people have exams after R. This places R on Thursday.

  Schedule: _ , _ , P , R , _ , _ , _

• Clue 3: S has the exam after Q but before P. Since P is on Wednesday, S must be on Tuesday and Q on Monday.

  Schedule: Q , S , P , R , _ , _ , _

• Clue 4: U has the exam before V but not on Friday. The remaining people are T, U, V, and the remaining days are Friday, Saturday, Sunday.
  • U cannot be on Friday.
  • U must be before V.
  • The only possible arrangement for U and V is U on Saturday and V on Sunday.
  • This leaves Friday for T.

Final Schedule

The deduced schedule is:

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

Calculating Gaps Between T and Q

We need to find the number of people with exams between Q (Monday) and T (Friday).

• People scheduled between Monday and Friday are: S (Tuesday), P (Wednesday), and R (Thursday).
• Therefore, there are 3 people with exams between T and Q.