Perplexity — Constellation Eval Answers
Perplexity's full 21-question transcript — flawless knowledge and reasoning, one counter-clockwise rotation error.
Section 1: MMLU (General Knowledge)
- History — 1914: B) World War I.
- Geography — capital of Canada: C) Ottawa.
- Biology — cellular respiration: A) Mitochondrion.
- Physics — unit of resistance: C) Ohm.
- Computer Science — SQL: A) Structured Query Language.
- Math — derivative of x²: B) 2x.
- Medicine — insulin lowers: B) Glucose.
- Philosophy — Critique of Pure Reason: B) Kant.
- Logic — all A are C: C) C (transitivity).
- AI — labeled data: B) Supervised.
Section 2: ARB (Advanced Reasoning)
11. Logic
Yes, (A → C) follows by the transitive property of implication.
12. Math — f(f(x)) = 0
Real solutions include x = 0, ±√3 and the real roots of x³ − 3x = ±√3 (three additional real roots each), for 9 real roots total.
13. Number Theory
n³ − n = n(n−1)(n+1), a product of three consecutive integers, divisible by 2 · 3 = 6.
14. Combinatorics
6! / (2! · 3! · 1!) = 60 distinct permutations.
15. Probability
Expected tosses for HH = 6.
16. Calculus
Using sin x = x − x³/6 + O(x⁵): limit = −1/6.
17. Physics
Acceleration on frictionless incline = g sin θ.
18. Chemistry
C₃H₈ + 5 O₂ → 3 CO₂ + 4 H₂O (coefficients 1, 5, 3, 4).
Section 3: ARC-AGI (Spatial Reasoning)
19. Mirror
Output: `0 1 0 9 / 2 3 2 0`. ✓
20. Transpose
Output: `0 2 3 / 2 0 0`. ✓
21. Rotation (90° Clockwise) — the miss
Perplexity's output: `1 8 / 0 0 / 0 9`. Lumos: this is a counter-clockwise rotation — the vector sign was flipped. Everything else was flawless.