Step-by-Step Logical Elimination
To find the correct day, evaluate each clue by determining what it implies for Today:
[ LOGICAL ELIMINATION PROCESS ]
|
-------------------------------------------------------------------
| | |
[ CLUE 1: TOMORROW ] [ CLUE 2: YESTERDAY ] [ CLUE 3: TODAY ]
• Tomorrow ≠ Sat / Sun • Yesterday ≠ Tue / Wed • Today ≠ Mon / Thu
• Today ≠ Fri / Sat • Today ≠ Wed / Thu • Today ≠ Mon / Thu
1. Analyzing Clue 1: “Tomorrow is not Saturday or Sunday”
- If tomorrow is not Saturday, today cannot be Friday.
- If tomorrow is not Sunday, today cannot be Saturday.
- Remaining days for Today: Sunday, Monday, Tuesday, Wednesday, Thursday.
2. Analyzing Clue 2: “Yesterday was not Tuesday or Wednesday”
- If yesterday was not Tuesday, today cannot be Wednesday.
- If yesterday was not Wednesday, today cannot be Thursday.
- Remaining days for Today: Sunday, Monday, Tuesday.
3. Analyzing Clue 3: “Today is not Monday or Thursday”
- We explicitly rule out Monday (and Thursday, which was already eliminated).
- Remaining days for Today: Sunday, Tuesday.
Wait, let’s re-verify Clue 3 and Clue 2 carefully:
Let’s test Sunday:
- Is Tomorrow Saturday or Sunday? Tomorrow is Monday $\rightarrow$ PASS.
- Was Yesterday Tuesday or Wednesday? Yesterday was Saturday $\rightarrow$ PASS.
- Is Today Monday or Thursday? Today is Sunday $\rightarrow$ PASS.
