How many pluses should we put between the digits of 987654321 to get a total of 99, and where?

I have a hole in my back and legs I lack.
I live where I can’t breathe and I eat without teeth.
What am I?

How can a man go eight days without sleep?

What does does this rebus picture means ?

There is a unique number which when multiplied by any number from 1 to 6, we will get the new number that contains the same digits only.

Can you find that number?

Find the Next Number in the Sequence

2 9 3 1 8 4 3 6 5 7 ?

Three people check into a hotel. They pay $60 for the rent of the room. After they check-in, the manager realize that the rent for the room is $55. So, he gives $5 to the bellboy and asks him to give it to them. The bellboy thinks that it will be difficult for the three people to share $5 among them and seeking the personal benefit, he pockets $2 and gives the remaining $3 to them.

Now, each person paid $20 and got back $1. In this manner, each of them paid just $19 which totals to the amount of $57. The bellboy has $2 with him and adding them, we get $59. So where is the remaining $1?

Intelligence Agency need to break the vault but the problem is that they are not able to break the vault.

On the vault, a text is written as:

31 11 33 33 43 45
21 25
31 24 11 31 51 41

To Break the code Intelligence Agency brings a mathematician named Joseph.
Minutes later he deciphers the code.

Whats the code?

There is one thing that goes round the house and also inside the house but never even share a brief touch. What is it?

What jumps when it walks and sits when it stands?