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 Math.
- Omar did not take 66 minutes and is not ranked 4.
- The fastest finisher attempted Computer.
- The one ranked 3 took more time than Xavier.
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
--- | --- | --- | ---
Kaira | 1 | 51 | Geography
Sahil | 2 | 32 | Math
Omar | 3 | 66 | English
Qadir | 4 | 31 | Computer
Xavier | 5 | 35 | History
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Math.
- Omar did not take 66 minutes and is not ranked 4.
- The fastest finisher attempted Computer.
- The one ranked 3 took more time than Xavier.
Set up a table: Student x (Rank, Time, Subject). Use rank-time inequalities and subject anchors (fastest subject).
Student | Rank | Time(min) | Subject
--- | --- | --- | ---
Kaira | 1 | 51 | Geography
Sahil | 2 | 32 | Math
Omar | 3 | 66 | English
Qadir | 4 | 31 | Computer
Xavier | 5 | 35 | History
Integrate constraints across dimensions and validate uniqueness.
Verification:
- The student ranked 1 finished earlier than the one who attempted Math.
- Omar did not take 66 minutes and is not ranked 4.
- The fastest finisher attempted Computer.
- The one ranked 3 took more time than Xavier.