We need to determine the number of people who have an exam after B. To solve this, let's assign the days of the week to each person based on the given constraints. Here's the step-by-step reasoning:
- Consider the seven days of the week starting from Monday to Sunday: M, T, W, Th, F, Sa, Su.
- We are given that only three people have exams between L and T. This suggests two possible arrangements:
- L, _, _, _, T
- T, _, _, _, L
- Only three people have exams between U and O. This suggests two possible arrangements:
- U, _, _, _, O
- O, _, _, _, U
- B is between R and E, where B has an exam after R and before E. This is key to arranging these individuals.
- Only O has an exam after T. Thus, O is the last to have an exam.
Given these data points, let's try to position everyone:
- If T is on Monday, then L is on Friday (since three people are between L and T).
- If U is on Tuesday, then O must be on Saturday (since three people are between U and O).
- If R is on Wednesday, then B could be on Thursday and E on Sunday (since B must be after R and E after B).
The order now becomes:
| Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
|---|---|---|---|---|---|---|
| T | U | R | B | L | O | E |
Now, let's count the number of people having exams after B on Thursday:
- Friday: L
- Saturday: O
- Sunday: E
Thus, there are three people who have exams after B.
Therefore, the correct answer is: Three.
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?
