Exam Scheduling Logic Puzzle Solution
This problem requires determining the order of exams for seven people (K, L, U, G, A, B, W) throughout a week (Monday to Sunday) based on several given conditions.
Step 1: Establish the Weekly Schedule Framework
We represent the week as follows:
- Monday
- Tuesday
- Wednesday
- Thursday
- Friday
- Saturday
- Sunday
Step 2: Place Known Exam Dates
From the problem statement:
- K has an exam on Tuesday.
- U has an exam on Sunday.
Current Schedule:
- Monday:
- Tuesday: K
- Wednesday:
- Thursday:
- Friday:
- Saturday:
- Sunday: U
Step 3: Apply Sequential Constraints
Analyze the conditions related to adjacent days:
- "G has exam on the day immediately before U." Since U is on Sunday, G must be on Saturday.
- "L has exam on the day immediately before G." Since G is on Saturday, L must be on Friday.
- "W has exam on the day immediately after K." Since K is on Tuesday, W must be on Wednesday.
Updated Schedule:
- Monday:
- Tuesday: K
- Wednesday: W
- Thursday:
- Friday: L
- Saturday: G
- Sunday: U
Step 4: Apply the "Between" Constraint
Consider the condition: "Only three people have exams between B and L."
- L's exam is on Friday.
- We need to find a position for B such that there are exactly 3 days (people) between B's exam day and L's exam day (Friday).
- If B is placed on Monday, the days between Monday and Friday are Tuesday, Wednesday, and Thursday. This satisfies the condition of 3 people between B and L.
- Let's verify this placement: Monday (B), Tuesday (K), Wednesday (W), Thursday (?), Friday (L). The people between B and L are K, W, and the person on Thursday. This fits perfectly.
- Therefore, B has an exam on Monday.
Updated Schedule:
- Monday: B
- Tuesday: K
- Wednesday: W
- Thursday:
- Friday: L
- Saturday: G
- Sunday: U
Step 5: Determine the Final Exam Slot
- The only remaining person is A.
- The only remaining day is Thursday.
- Therefore, A has an exam on Thursday.
Step 6: Final Schedule and Answer Calculation
The complete exam schedule is:
| Day | Person |
|---|---|
| Monday | B |
| Tuesday | K |
| Wednesday | W |
| Thursday | A |
| Friday | L |
| Saturday | G |
| Sunday | U |
The question asks: "How many people have exams before A?"
- A's exam is on Thursday.
- The days before Thursday are Monday, Tuesday, and Wednesday.
- The people with exams on these days are B, K, and W.
- Therefore, 3 people have exams before A.
Important Questions from Scheduling Puzzle
- P, Q, R, S, T, U and V have an exam on different days of the week starting on Monday and ending on Sunday. Q has an exam on Friday. Exactly 3 people have an exam between R and T, neither of whom has on exam on Sunday. P has an exam immediately after U. V has an exam immediately before T. Who among the following has an exam on Wednesday?
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. V has an exam on Tuesday. Exactly 2 people have an exam between V and P. S has an exam immediately before T, and Q has an exam immediately after R. Only 1 person has an exam between T and R
How many people have an exam before S?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 T and Q. U has an exam on Thursday. S has an exam immediately after Q. R has an exam immediately after P. How many people have exams between V and T?
P, Q, R, S, T, U and V have an exam on different days of the week starting on Monday and ending on Sunday. Q has an exam on Wednesday. Exactly 4 people have an exam between T and U, neither of whom has an exam on Monday. R has an exam immediately before S and V has an exam immediately after S. P has an exam immediately before T.
How many people have an exam between P and R?- 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. V has an exam on Thursday. Exactly 4 people have their exams between U and Q, neither of whom has an exam on Sunday. T has an exam immediately before S. R does not have an exam on Friday. U does not have an exam after S. How many people have exams after Q?
