A word I know, six letters it contains, remove one letter, and twelve remains. What am I?

With thieves I consort, With the vilest, in short, I'm quite at ease in depravity; Yet all divines use me, And savants can't lose me, For I am the center of gravity!

What question can you never answer yes to?

You can see nothing else, when you look in my face, I will look you in the eye, and I will never lie.

What English word retains the same pronunciation, even after you take away four of its five letters?

It happens once in a minute, twice in a week, and once in a year. What is it?

When things go wrong, what can you always count on?

Two fathers and two sons sat down to eat eggs for breakfast. They ate exactly three eggs, each person had an egg. Explain how?