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

Solve the equation by replacing the alphabet with numbers.

MOM + MOM + NO = BOOK=

One absent-minded ancient philosopher forgot to wind up his only clock in the house. He had no radio, TV, telephone, internet, or any other means for telling time. So he travelled on foot to his friend's place a few miles down the straight desert road. He stayed at his friend's house for the night and when he came back home, he knew how to set his clock. How did he know?

Prove that the below maths equation is true.

8 + 8 = 91

You have two strings whose only known property is that when you light one end of either string it takes exactly one hour to burn. The rate at which the strings will burn is completely random and each string is different. How do you measure 45 minutes?

There was a blind man. He had four socks in his drawer either black or white. He opened it and took out two socks. Now the probability that it was a pair of white socks is 1/2.

Can you find out the probability that he had taken out a pair of black socks ?

Give it food and it will live; give it water and it will die.

I am something people love or hate. I change peoples appearances and thoughts. If a person takes care of them self I will go up even higher. To some people I will fool them. To others I am a mystery. Some people might want to try and hide me but I will show. No matter how hard people try I will Never go down. What am I?

I add 5 to 9 and get 2. The answer is correct, so what am I?

When I got four, I have it none.
When I got two, I have it some.
When I got none, I have it all.

What is it?