Question

The number of subgroups of the group $(Z_5,{+}_5)$ is

• A. $1$
• B. $3$
• C. $4$
• D. $2$

Answer 1

The correct option is D

$2$

Explanation for the correct option:

Given group: $(Z_5,{+}_5)$.

We know that the group of a prime order $(Z_n,{+}_n)$ has only $2$ subgroups.

As the given group $(Z_5,{+}_5)$ is a group of a prime order.

Therefore, the number of subgroups of the group $(Z_5,{+}_5)$ is $2$

Hence, option D is the correct answer.