I travel all around the world but always stay in the corner. What am I?

What Does this text mean:

important=important

All of you like to eat me. I am a five-lettered word. Remove the first two and I turn into an infamous animal. Remove just the first and I become a heinous crime. Remove the first and the last and you can groove on me.

Can you guess who am I?

There is a barrel with no lid and some wine in it. 'This barrel of wine is more than half full,' said Curly. 'No it's not,' says Mo. 'It's less than half full.' Without any measuring implements and without removing any wine from the barrel, how can they easily determine who is correct?

I’m orange, I wear a green hat and I sound like a parrot. What am I?

I know there are two methods by using three time the same number with a plus(+) operator , you can make sum as 60.

One of them is 20+20+20.

whats the other way ?

Astrology starts with the alphabet A, Biology starts with B, Psychology with P and Limnology with L.

Can you find an "ology" that begins with a P?

Who are the happiest people in IPL match?

Find the smallest sentence with all the English alphabet.

What number does the below three word/phrase identify and why?
1. Deck
2. Year
3. Singing in the Rain