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

If you’ve got me, you want to share me; if you share me, you haven’t kept me. What am I?

Two natural numbers have a sum of less than 100 and are greater than one.

John knows the product of the numbers and Jacob knows the sum of numbers.

The following conversation takes place between them:
John: 'I am not aware of those numbers.'
Jacob: 'I knew you wouldn't be. I am not aware myself.'
John: 'Now I know them!'
Jacob: 'Now I know them, too!'

What are the two numbers?

why number 8549176320 is one of a kind?

As a whole I am both
safe and secure.

Behead me and I become
a place of meeting.

Behead me again and I am
the partner of ready.

Restore me, and I become
the domain of beasts.

What am I?

Speaking of rivers, a man calls his dog from the opposite side of the river. The dog crosses the river without getting wet, and without using a bridge or boat. How?

The day after tomorrow will be three days before Tuesday. Can you find out what is today?

Take away the whole and some still remain. What is it?

Replace the question mark with the correct number.

2 + 2= 4
3 + 3= 18
4 + 4= 48
5 + 5= ?

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

How Come ??