मानसिक क्षमता — Advanced Puzzles र Decision Making
यस नोटमा complex seating arrangements, scheduling, conditional logic र decision-based problems समेटिएका छन्।
Complex Arrangements — Step-by-Step
Floor Puzzle Example
7 floors: A, B, C, D, E, F, G
Clue 1: A lives above B
Clue 2: C is on floor 3
Clue 3: D र E बीच 2 floors छन्
→ Grid बनाउनुस्: Floor 7 to 1, fill definite first (C=3), अनि constraint propagation
Scheduling Puzzles
| Day | Subject | Teacher |
|---|---|---|
| Monday | Math | Ram |
| Tuesday | Science | ? |
| Wednesday | ? | Shyam |
Approach: elimination method — जुन cell मा 1 option मात्र छ त्यो first fill गर्नुस्
Conditional Logic
If-Then Chains
| Statement | Contrapositive |
|---|---|
| If P then Q | If not Q then not P |
| P only if Q | If not Q then not P |
| P unless Q | If not Q then P |
Remember: Contrapositive सधैं logically equivalent हुन्छ।
Number Patterns — Advanced
| Pattern | Example | Rule |
|---|---|---|
| Fibonacci | 1,1,2,3,5,8,13 | Tₙ = Tₙ₋₁ + Tₙ₋₂ |
| Geometric | 2,6,18,54 | ×3 each time |
| Perfect squares | 1,4,9,16,25 | n² |
| Triangular | 1,3,6,10,15 | n(n+1)/2 |
| Prime | 2,3,5,7,11,13 | No factor except 1 and itself |
Quick Recall:
• Fibonacci: each term = sum of previous two
• Triangular numbers: n(n+1)/2
• Contrapositive of “If P then Q” = “If ¬Q then ¬P”
• Floor puzzle: definite clues anchor, constraint propagation fills rest
• Fibonacci: each term = sum of previous two
• Triangular numbers: n(n+1)/2
• Contrapositive of “If P then Q” = “If ¬Q then ¬P”
• Floor puzzle: definite clues anchor, constraint propagation fills rest