Identify the hidden meaning behind this picture?

There is an exact a week gap between Christmas and New Year. Hence, It is obvious that the new year that comes right after Christmas comes on the same day of the week.

A Strange thing happened in the Year 1777. Christmas occurs on Wednesday and New Year on Monday. How is that possible?

If,

6 / 7 = 2
3 / 9 = 7
8 / 2 = 6

Then

4 / 5 = ?

I look at you, you look at me, I raise my right, you raise your left. What am I?

Prove that twice of ten is the same as twice of eleven.

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

which number am I?

Can you find the missing letter in the sequence?
S - T - I - L - ? - T - F - Y - C

What is the end of everything?

If you drop me I’m sure to crack, but give me a smile and I’ll always smile back. What am I?

Until it is measured, not known. Yet how you miss it when it has gone. What is it?