When I get multiplied by any number, the sum of the figures in the product is always me. What am I?

What is a word made up of 4 letters, yet is also made up of 3. Sometimes is written with 9 letters, and then with 4. Rarely consists of 6, and never is written with 5.

2, 3, 5, 9, 17, _ What is the next number in the sequence?

Can you find the missing number in the third row?
35 20 14
27 12 18
5 2 ?

I’m orange, I wear a green hat and I sound like a parrot. What am I?

John has eleven friends. He has a bowl containing eleven apples. Now He wants to divide the eleven apples among his friends, in such a way that an apple should remain in his bowl.
How can He do it?

What is the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000?

In a football game, Christina defeated Teresa by 2 - 0 but no man from either side scored. How can this be possible?

Can you place three balls such that the equation shown in the picture holds true?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?