my quize

ever cyclic group is abelian

• cyclic

• non abelian

• ring

• abelian group

if G is a prime order group then G has

• No proper subgroup

• No improper subgroup

• Two improper subgroup

• None of these

Number of proper Subgroups of Z6 is

• 3

• 4

• 1

• 2

which of the following is a semi group having such that only identity element has its inverse

• (Z, +)

• (N, +)

• (R, +)

• None of these

Let G be a group order 6, and H be a subgroup of G such that 1 < I H I < 6. Which one of the following options is correct ?

• G is always cyclic , but H may be cyclic .

• G may not be cylclic , but H is always cyclic.

• Both G and H are always cyclic

• Both G and H may not be cyclic