Teaching MPPSC Assistant Professor Mock Test Series 2025 Mathematical Science Algebra Group & Subgroups
Let G be a group of order 2022. Let H and K be subgroups of G of order 337 and 674, respectively. If H ∪ K is also a subgroup of G, then which one of the following is FALSE?
1
H is a normal subgroup of H ∪ K.
2
The order of H ∪ K is 1011.
3
The order of H ∪ K is 674.
4
K is a normal subgroup of H ∪ K.