In which direction should the missing arrow point?

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

which number am I?

I come in different shapes and sizes.
Parts of me are curved, other parts are straight.
You can put me anywhere you like,
but there is only one right place for me.
What am I?

There is something which you can be arrested for attempting but not for successfully completing.

What's the only room from which no one can enter or leave

If Rajina's daughter is my daughter's mom, who am I to Rajina?

What has six faces, but does not wear makeup, has twenty-one eyes, but cannot see?

What is the next number in the series?

15 29 56 108 208 ?

When you say goodbye, I am what you need to tie.
I come as a couple and go wherever you run.
Who am I?

You are provided with a grid (as shown in the picture). Can you fill the squares with numbers 1-8 in a manner that none of the two consecutive numbers are placed next to each other in any direction (vertically, horizontally or diagonally?)