Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Algebra Group & Subgroups
Let G be the group (under matrix multiplication) of 3 × 3 invertible matrices with entries from \( \mathbb{Z}/27\mathbb{Z}\) . Let a be the order of G. Which of the following option is not true?
1
a is divisible by 37
2
a is divisible by 24
3
a is divisible by 64
4
a is not divisible by 54.
5
Question Not Attempted