A father's child, a mother's child, yet no one's son.

Who am I?

I have Rs.50 and I spend it in the way as below.

On the dull night when the blonde was dozing, she heard an odd clamour and she saw that there was a bizarre man with a gun simply outside her home. So she raced to the telephone to call the police, however, she can't dial 911. Why?

Pronounced as one letter,
And written with three,
Two letters there are,
And two only in me.
I am double, I am single,
I am black blue and grey,
I am read from both ends,
And the same either way.

John killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

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

Look at me. I can bring a smile to your face, A tear to your eye, Or even a thought to your mind. But, I can't be seen. What am I?

I have branches, but no fruit, trunk or leaves. What am I?

Can you solve the maths in the below-given picture equation?

You are playing as white and given four rooks to checkmate the black king in four moves with the following rules 1. You can place one rook every move and ensure the black king should be in check position.2. After four moves the black king should be in the checkmate position.