What does below rebus means ?

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

He runs but never walks. Murmurs, but never talks. Has a bed, but never sleeps. And has a mouth, but never eats?

I start and end with 500 and carry a 5 in my heart. But I require the first letter and the first number to be complete. I am the name of a King.

Who am I ?

I am the largest in my family of fifty.
The youngest of our family lives separately from the rest of the family and so do I.
I am regarded as harsh and tough.
I am so large, you cut me in two equal halves,
each half would still be larger than the second largest member of the family.
Who am I?

How can you throw a ball as hard as you can and have it come back to you even if it doesn't hit anything there is nothing attached to it and no one else catches or throws it.

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

A man says, "Brothers and sisters, have I none, but that man's father is my father's son." Who is that man?

I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I?

The peacock is a bird that does not lay eggs. How do they get baby peacocks?