Can you check this sentence for correctness please

[Unregistered]

- Is this right ?

has the pet name been decided >

or is this right ?

Have you decided on a name for the pet ?

or are both right ?

[sarat_106]

- Is this right ?

has the pet name been decided >

or is this right ?

Have you decided on a name for the pet ? (could be correct, wait for comments by our experts)

or are both right ?

The 1st sentence could sound better by using 'of' to show possesion.
Has the name of the pet been decided.

[Barb_D]

Yours are okay.
Here are some others:

Have you decided on a name for your new pet?
Has the pet's name been decided?

(I wonder about the use of "pet." Surely you would know whether they got a cat, dog, hamster, or fish? Have you picked a name for your new puppy? What's the cat's name going to be?)

[RonBee]

Say:

Has the pet's name been decided on?

or

Have you decided on a name for the pet?