2025 · Paper 1 · Mathematics

Question 8

The printed question, the official key, and each model’s JSON answer plus the reasoning it wrote.

MathematicsPaper 1Numerical

Q08

Official 105

JEE Advanced 2025 Paper 1 Mathematics question 8

Model answers

Claude Fable 5.1

Anthropic

Correct4 / 4

105

Claude Fable 5.1 reasoning

Reflexive requires 6 diagonal pairs. Remaining 4 elements must come from symmetric off-diagonal pairs, each contributing 2 elements, so choose 2 unordered pairs from C(6,2)=15: C(15,2)=105.

GPT 6 Astra

OpenAI

Correct4 / 4

105

GPT 6 Astra reasoning

No written reasoning was returned for this item.

GPT 5.6 Luna

OpenAI

Correct4 / 4

105

GPT 5.6 Luna reasoning

No written reasoning was returned for this item.