Irene killed hundreds of people mercilessly and yet the police were not able to put her behind the bars. Why?

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not rounded numerals equals 24.

One night, a man runs away from home. He turns left and keeps running. After some time he turns left again and keeps running. Later, he turns left one more time and runs back home—but when he gets home, he finds a man in a mask. Who was the man in the mask?

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?

What do you see in the image below

The more it dries, the wetter it becomes. Can you tell what it is?

It belongs to you, but other people use it more than you do. What is it?

In the given figure, move three matchsticks so that the resulting figure contains two rectangles.

Solve the following series:
AZ, GT, MN, __, YB

If we add four times the age of John four years from now to five times his age five years from now we get ten times his current age.

How old will John be two years from now?