# Tour:Objective evaluator four (beginners)

This page is a Objective evaluator page, part of the Groupprops guided tour for beginners (Jump to beginning of tour)
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This objective evaluator is meant as a diagnostic. If you get any of these questions wrong, review the corresponding tour pages and mind's eye tests.

Expect to take about three to five minutes per question.

## True/false questions

1. Two cyclic groups are isomorphic if and only if they have the same order.
2. Suppose $H$ and $K$ are cyclic subgroups of a group $G$. Then, the intersection $H \cap K$ is also a cyclic subgroup of $G$.
3. Suppose $H$ and $K$ are cyclic subgroups of a group $G$. Then, the join $\langle H, K \rangle$ is also cyclic.
4. Any group of prime order is cyclic.