Consider the following two statements for two subgroups H1 and H2 of a group G: I. H1 ∩ H2 is not necessarily a subgroup of G. II. H1 ∪ H2 is not necessarily a subgroup of G. Select the correct statement using the code given below:

In standard notation, what is the order of the subgroup ⟨5⟩ ⊕ ⟨3⟩ in the direct sum group Z30 ⊕ Z12?

If G is a non-cyclic group of order 57, then what is the number of elements of order 3 in G?

Let G be a group of order 29. Which of the following statements is true?