Question 1
Seven persons sit in a row facing north. Use the conditions:
- Xavier sits at the leftmost end.
- Cyrus sits at the rightmost end.
- If Xavier sits to the left of Vihaan, then Aarav must be at an extreme end.
- If Rhea is adjacent to Nihal, then Bhavya does not sit at position 4.
- Cyrus 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: Xavier; Position 2: Vihaan; Position 3: Aarav; Position 4: Rhea; Position 5: Nihal; Position 6: Bhavya; Position 7: Cyrus
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: Xavier; Position 2: Vihaan; Position 3: Aarav; Position 4: Rhea; Position 5: Nihal; Position 6: Bhavya; Position 7: Cyrus
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.