What is the centre of gravity?

In the below-given picture of a pretty girl, there is something wrong. Can you find out what it is?

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?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

As easy as you can get into me, it is as hard to get out of me.

Do you know what I am?

I am green and found in the forest and have needles instead of leaves. What am I?
Hint 1: It can be used for Christmas decorations.
Hint 2: I have a strong, scent that is used in air fresheners.

Find the Next Number in the Sequence

2 9 3 1 8 4 3 6 5 7 ?

What number do you get when you multiply all of the numbers on a telephone's number pad?

Two men play a dice game involving roll of two standard dice. Man X says that a 12 will be rolled first. Man Y says that two consecutive 7s will be rolled first. The men keep rolling until one of them wins.

What is the probability that X will win ?

Suppose you are sitting in an interview and the interviewee asks you an aptitude question.

You have three buckets with a capacity of 4 litres, 8 litres and 10 litres and you have a large tank of water. Now you have to measure 3 litres of water precisely using those buckets. How will you do it?