Question 1
Five students attempted a test and received distinct ranks (1 best to 5 worst), took distinct times, and attempted distinct subjects. Use the clues:
- The student ranked 1 finished earlier than the one who attempted Music.
- Yash did not take 77 minutes and is not ranked 4.
- The fastest finisher attempted Chemistry.
- The one ranked 3 took more time than Zoya.
Question: Who secured Rank 1?
Multi-Parameter Optimization
Set up a table: Student x (Rank, Time, Subject). Use rank-time inequalities and subject anchors (fastest subject).
Student | Rank | Time(min) | Subject
--- | --- | --- | ---
Nihal | 1 | 58 | Physics
Bhavya | 2 | 65 | Music
Yash | 3 | 77 | Science
Eshan | 4 | 50 | Chemistry
Zoya | 5 | 55 | Math
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Music.
- Yash did not take 77 minutes and is not ranked 4.
- The fastest finisher attempted Chemistry.
- The one ranked 3 took more time than Zoya.
Set up a table: Student x (Rank, Time, Subject). Use rank-time inequalities and subject anchors (fastest subject).
Student | Rank | Time(min) | Subject
--- | --- | --- | ---
Nihal | 1 | 58 | Physics
Bhavya | 2 | 65 | Music
Yash | 3 | 77 | Science
Eshan | 4 | 50 | Chemistry
Zoya | 5 | 55 | Math
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Music.
- Yash did not take 77 minutes and is not ranked 4.
- The fastest finisher attempted Chemistry.
- The one ranked 3 took more time than Zoya.