Understanding the Meeting Schedule Puzzle

The problem asks us to determine the specific day of the week when person D attends a meeting. We are given a list of 7 people (A, B, C, D, E, F, G) and 7 days of the week (Sunday to Saturday). The key constraint is that the week starts on Monday. We need to use the provided clues to create a valid meeting schedule.

Defining the Week Structure

The week starts on Monday. Let's assign numerical slots to the days:

• Monday: Slot 1
• Tuesday: Slot 2
• Wednesday: Slot 3
• Thursday: Slot 4
• Friday: Slot 5
• Saturday: Slot 6
• Sunday: Slot 7

Step-by-Step Deduction of the Schedule

Clue 1: B attends on Thursday

This gives us our first fixed point in the schedule. B is in Slot 4.

Schedule:

• Slot 1 (Mon):
• Slot 2 (Tue):
• Slot 3 (Wed):
• Slot 4 (Thu): B
• Slot 5 (Fri):
• Slot 6 (Sat):
• Slot 7 (Sun):

Clue 2: Only one person attends between B and G

B is in Slot 4. This means G can be in Slot 2 (with Slot 3 between them) or Slot 6 (with Slot 5 between them).

Possibility 1: G is in Slot 2.

Possibility 2: G is in Slot 6.

Clue 3: A attends immediately after G

Let's evaluate this clue with both possibilities:

• If G is in Slot 2 (Tue), A must be in Slot 3 (Wed).
• If G is in Slot 6 (Sat), A must be in Slot 7 (Sun).

This gives us two potential partial schedules:

Scenario 1:

• Slot 1 (Mon):
• Slot 2 (Tue): G
• Slot 3 (Wed): A
• Slot 4 (Thu): B
• Slot 5 (Fri):
• Slot 6 (Sat):
• Slot 7 (Sun):

Scenario 2:

• Slot 1 (Mon):
• Slot 2 (Tue):
• Slot 3 (Wed):
• Slot 4 (Thu): B
• Slot 5 (Fri):
• Slot 6 (Sat): G
• Slot 7 (Sun): A

Clue 4: People before A = People after C

Let's test this with our scenarios:

• In Scenario 1, A is in Slot 3 (Wed). People before A are in Slots 1 and 2 (2 people). Therefore, there must be 2 people after C.
• In Scenario 2, A is in Slot 7 (Sun). People before A are in Slots 1 to 6 (6 people). Therefore, there must be 6 people after C.

Now let's place C based on this condition:

• Scenario 1 Analysis: We need 2 people after C. The available slots are 1, 5, 6, 7. If C is in Slot 5 (Fri), then Slots 6 (Sat) and 7 (Sun) are after C (2 people). This fits.
• Scenario 2 Analysis: We need 6 people after C. The available slots are 1, 2, 3, 5. If C is in Slot 1 (Mon), then Slots 2, 3, 4, 5, 6, 7 are after C (6 people). This also fits.

Current Schedules:

Scenario 1 (Tentative):

• Slot 1 (Mon):
• Slot 2 (Tue): G
• Slot 3 (Wed): A
• Slot 4 (Thu): B
• Slot 5 (Fri): C
• Slot 6 (Sat):
• Slot 7 (Sun):

Scenario 2 (Tentative):

• Slot 1 (Mon): C
• Slot 2 (Tue):
• Slot 3 (Wed):
• Slot 4 (Thu): B
• Slot 5 (Fri):
• Slot 6 (Sat): G
• Slot 7 (Sun): A

Clue 5: Only one person attends between C and D

Let's apply this to our scenarios:

• Scenario 1: C is in Slot 5 (Fri). To have one person between C and D, D must be in Slot 7 (Sun), with Slot 6 between them.
• Scenario 2: C is in Slot 1 (Mon). To have one person between C and D, D must be in Slot 3 (Wed), with Slot 2 between them.

Updated Schedules:

Scenario 1 (Tentative):

• Slot 1 (Mon):
• Slot 2 (Tue): G
• Slot 3 (Wed): A
• Slot 4 (Thu): B
• Slot 5 (Fri): C
• Slot 6 (Sat):
• Slot 7 (Sun): D

Scenario 2 (Tentative):

• Slot 1 (Mon): C
• Slot 2 (Tue):
• Slot 3 (Wed): D
• Slot 4 (Thu): B
• Slot 5 (Fri):
• Slot 6 (Sat): G
• Slot 7 (Sun): A

Clue 6: F attends after D

Let's check this final clue:

• Scenario 1: D is in Slot 7 (Sun). F cannot attend *after* D, as Sunday is the last day. This scenario is impossible.
• Scenario 2: D is in Slot 3 (Wed). F must attend after D. The available slots are Slot 2 (Tue) and Slot 5 (Fri). F must be in Slot 5 (Fri).

This confirms Scenario 2 is the correct one.

Finalizing the Schedule

Scenario 2 requires F in Slot 5.

• Slot 1 (Mon): C
• Slot 2 (Tue):
• Slot 3 (Wed): D
• Slot 4 (Thu): B
• Slot 5 (Fri): F
• Slot 6 (Sat): G
• Slot 7 (Sun): A

The only remaining person is E, and the only remaining slot is Slot 2 (Tue). So, E attends on Tuesday.

Final Meeting Schedule

Here is the complete schedule that satisfies all the given conditions:

Determining D's Meeting Day

Based on the derived schedule, person D attends the meeting on Wednesday.