Question 1
Seven persons sit in a row facing north. Use the conditions:
- Rhea sits at the leftmost end.
- Sahil sits at the rightmost end.
- If Rhea sits to the left of Yash, then Mira must be at an extreme end.
- If Jatin is adjacent to Xavier, then Ira does not sit at position 4.
- Sahil sits third from the left.
Question: Who sits at position 4 from the left?
If-Then Conditional Strategy
Start with fixed endpoints and fixed position (third from left).
The first conditional is true and is consistent with the setup.
The second conditional helps constrain the positions of D, E, and F, leading to a unique solution.
Validated arrangement: Position 1: Rhea; Position 2: Yash; Position 3: Mira; Position 4: Jatin; Position 5: Xavier; Position 6: Ira; Position 7: Sahil
Efficiency tip: Prefer constraints that fix absolute positions early; defer conditional branches until necessary.
Verification:
- Leftmost and rightmost fixed.
- Third-from-left fixed.
- Conditionals do not contradict final layout.
Start with fixed endpoints and fixed position (third from left).
The first conditional is true and is consistent with the setup.
The second conditional helps constrain the positions of D, E, and F, leading to a unique solution.
Validated arrangement: Position 1: Rhea; Position 2: Yash; Position 3: Mira; Position 4: Jatin; Position 5: Xavier; Position 6: Ira; Position 7: Sahil
Efficiency tip: Prefer constraints that fix absolute positions early; defer conditional branches until necessary.
Verification:
- Leftmost and rightmost fixed.
- Third-from-left fixed.
- Conditionals do not contradict final layout.