When we see 2 but call 10?

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?

Can you find the mistake in the below statement?

There is a wide field of corn. A goose finds its way into the field and starts running. Can you find out till which point the goose can run into the field?

How far can you walk into the woods?

Three people enter a room and have a green or blue hat placed on their heads. They cannot see their own hat but can see the other hats.
The colour of each hat is purely random. They could all be green, blue, or any combination of green and blue.
They need to guess their own hat colour by writing it on a piece of paper, or they can write 'pass'.
They cannot communicate with each other in any way once the game starts. But they can have a strategy meeting before the game.
If at least one of them guesses correctly they win $10,000 each, but if anyone guesses incorrectly they all get nothing.
What is the best strategy?

Using Only Five 5's and any mathematical operator make sum as 37

There's one "sport" in which neither the spectators nor the participants know the score or the leader until the contest ends.

What is it?

What kind of band never plays music?

What mathematical symbol can be put between 5 and 9, to get a number bigger than 5 and smaller than 9?