Ok, there's this girl I talked in the last few days, I got her number while I talked in facebook with her, so we talked on Sms in the last time.
The thing is that she just got in a relationship with a random guy although I never expected that. I thought we had a nice conversation and I thought of hanging out one day.
What should I do? Still talk to her, or jist ignore her because of the relationship?

Im only going to give advice on what I personally would do in this situation, that way it is up to you if you want to do same thing or not or follow someone else's advice as it might be better.

Personally, I would go hang out with her and become very good friends with her, get accepted into her social circle with all her other female friends and move on to another girl either in her social group or someone passingby in a nightclub ect.

Thing is you don't know if she has told you she has started dating someone as a shit test or if its the genuine thing, if its a shit test acting like you dont care will take her off the defensive a bit and if it is genuine then your not going to be obsessive over her.

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I wouldn't give a fuck to become her friend, but I want to give her a try and maybe she would just break the relationship since I don't know if she really likes that ugly guy.
The relationship status was posted on facebook today, it's not a shit test.

I've sent her two texts in the last two nights which she didn't responded so I thought of not giving her any sign of life, but this morning she texted me, apologizing and saying she's sorry she couldn't answer my SMS.

Don't answer and leave her alone...go find another one.

Few things changed. I just texted her, saying "Oh, you couldn't wait with that relationship until week-end". And she said "I'm not in a relationship with that guy. My best friend is. I just put in a relationship because there was a girl that used to get involved in their relation and annoy them. If you don't trust me, go on Facebook and see the pictures there".

Photos can be manipulated. In that case you can go out with me, right?

Not too sure what you mean, but I know I want her my girlfriend, get in her social circle eventually and that would raise my reputation between the ladies in the city, she's well know in here and would be a hit for me.
But not too sure how to make it, since I think she still loves one of her ex-bf, because she's writing "hurt" statuses on facebook, or at least that's all the girls does, something that turns me off.

Tell her this...I wasn't telling you to invite me.

Oh lol she wants to hang with me, by the way talked to her and we can't hang this weekend ffs, she goes on a trip and during the week we can't see each other since I've got morning schedule at school and she's got midday schedule, so when I finish school she's beginning it and when she's finishing it, I am studying for exams.

Dude be careful and don't get on the hook. If she just got into a relationship don't wait for her. You have two options.

One: Have a platonic relationship.
Two: Ditch her.

I'd honestly ditch her. She is taken. And it is not wise to go after girls who have boyfriends.

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As I previously stated, she's not in a relationship, she put that relationship status on Facebook for her friend because there was a cockblock who was annoying her friend's relationship with that guy.