Sample 1, Logical Reasoning
If $A$ is a square matrix of order 3 such that $|A| = 5$, then find the value of $|\text{adj}(2A)|$.
- A. 200
- B. 1600
- C. 400
- D. 800
IMO Class 12 mock test (set 1) for 2026: 50 mathematics questions in 60 minutes, following the SOF International Mathematics Olympiad pattern. Timed practice with instant score, detailed solutions, rank and percentile.
| Section | Questions |
|---|---|
| Logical Reasoning | 15 |
| Mathematical Reasoning | 20 |
| Everyday Mathematics | 10 |
| Achievers Section | 5 |
| Total (60 minutes) | 50 |
A preview of 3 of the 50 questions. Answers are revealed when you take the exam.
Sample 1, Logical Reasoning
If $A$ is a square matrix of order 3 such that $|A| = 5$, then find the value of $|\text{adj}(2A)|$.
Sample 2, Mathematical Reasoning
What is 244 × 61?
Sample 3, Everyday Mathematics
Find the principal value of $\sin^{-1}\left(\sin\frac{2\pi}{3}\right)$.
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