What is the Surname of Barbie Doll?

When it is alive we sing, when it is dead we clap our hands. What is it?

Take 9 from 6, 10 from 9, 50 from 40, and leave 6.

How Come ??

Can you find the least possible number such that

If the number is divided by 3, it gives the remainder of 1;
If the number is divided by 4, it gives the remainder of 2;
If the number is divided by 5, it gives the remainder of 3;
If the number is divided by 6, it gives the remainder of 4.

What does this mean?

CCCCCCC

In the picture, you can see a chess board. On the top left position, the K marks a knight. Now, can you move the knight in a manner that after 63 moves, the knight has been placed at all the squares exactly once excluding the starting square?

If you remove one from eleven, it becomes ten. If you remove one from nine, it becomes ten.

How is this possible?

A girl rode into a tourist spot out of the city on Thursday. She loved the place and decided to stay for a few days. She stayed for four days and then she left for back home on Thursday.

How can this be possible?

Which wheel of car does not rotate when you turn your car right?

I cry without having a voice.
I fly without having wings.
I bite without having teeth.
I whisper without a mouth.

Who am I?