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?
Exam Schedule Logic Puzzle
This problem involves determining the order of exams for 7 people (P, Q, R, S, T, U, V) across a week (Monday to Sunday) based on specific conditions.
Analyzing Exam Schedule Constraints
- Constraint 1: 5 people between V and T. This indicates V and T are at the week's ends (Day 1 and Day 7).
- Constraint 2: 2 people between R and T.
- Constraint 3: Q's exam is immediately after R's (QR sequence).
- Constraint 4: S's exam is immediately before P's (SP sequence), and S's exam is after T's.
Determining the Correct Exam Order
We test the two possible arrangements for V and T:
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Scenario 1: V on Monday (Day 1), T on Sunday (Day 7)
- Initial Setup: V _ _ _ _ _ T
- Applying Constraint 2 (2 between R and T): R must be on Day 4. Setup: V _ _ R _ _ T.
- Applying Constraint 3 (QR): Q must be on Day 5. Setup: V _ _ R Q _ T.
- Applying Constraint 4 (S after T): S must be after Day 7, which is impossible. This scenario is invalid.
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Scenario 2: T on Monday (Day 1), V on Sunday (Day 7)
- Initial Setup: T _ _ _ _ _ V.
- Applying Constraint 2 (2 between R and T): R must be on Day 4. Setup: T _ _ R _ _ V.
- Applying Constraint 3 (QR): Q must be on Day 5. Setup: T _ _ R Q _ V.
- Applying Constraint 4 (SP sequence, S after T): The remaining slots are Day 2, Day 3, and Day 6. The SP sequence must fit contiguously. The only available adjacent slots are Day 2 and Day 3. Setup: T S P R Q _ V.
- The only remaining person is U, and the only remaining slot is Day 6.
- Final Schedule: Monday(T), Tuesday(S), Wednesday(P), Thursday(R), Friday(Q), Saturday(U), Sunday(V).
Calculating People Between P and U
From the final schedule:
- P's exam is on Wednesday (Day 3).
- U's exam is on Saturday (Day 6).
The exams scheduled between P (Day 3) and U (Day 6) are on Day 4 and Day 5.
These correspond to R (Day 4) and Q (Day 5).
Therefore, there are Two people with exams between P and U.
Important Questions from Scheduling Puzzle
- Each of O, P, Q, R, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. S has an exam on Wednesday. R has an exam on one of the days after P and T has an exam on one of the days before Q. U has an exam immediately after O and S has an exam immediately before O. T has an exam on one of the days after U. How many people have an exam between S and Q?
- Each of C, D, E, F, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. F has the exam on Friday. Only two people have their exams between T and F. Only four people have their exams between E and T. S has the exam immediately after U. D does not have the exam on Monday. How many people have their exams before D and after C?
- Each of M, N, O, P, Q, R and S has an exam on a different day of the week, starting from Monday and ending on Sunday of the same week. S has an exam on Friday. Only two people have exams between S and R. O has an exam immediately before N. M has an exam immediately after P. S has an exam on one of the days after M. On which day does Q have an exam?
- Each of C, D, E, F, S, T and U has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. S has the exam on Thursday and T has the exam on Saturday. F has the exam immediately before U. C has the exam on one of the days after E. D has the exam immediately after U. Who has the exam on the last day of the week?
Each of J, K, L, M, N, O and P has an exam on a different day of a week starting from Monday and ending on Sunday of the same week. Only two people have exams before P. Only one person has an exam after L. Only three people have exams between P and J. Only one person has an exam between K and L. O has an exam immediately after M.
How many people have exams between M and N?
