A certain street contains 100 buildings. They are numbered from 1 to 100. How many 9's are used in these numbers?

A river should be crossed by a father, a mother and their two sons and two daughters.
There are some rules that should be followed while crossing the river. There can be only two people in the raft while crossing. The daughters cannot be with their father unless there is the presence of the mother. The sons cannot be with their mothers unless the father is present. Unless the guard is on the board, the criminals cannot be with any of the family members. Only the adults like the father, the guard, and the mother knows to use the raft.

How will they cross the river?

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?

There is something which you can be arrested for attempting but not for successfully completing.

Can you find the largest Three-digit number whose sum is 14 and whose square is less than 5,00,000?

Get total of 120 by using five zeros 0,0,0,0,0 and any one mathematical operator.
Do you ?

A man was found murdered on Sunday morning. His wife immediately called the police. The police questioned the wife and staff and got these alibis: The Wife said she was sleeping. The Cook was cooking breakfast. The Gardener was picking vegetables. The Maid was getting the mail. The Butler was cleaning the closet. The police instantly arrested the murderer. Who did it and how did they know?

John was so frustrated to be the suspect of being a sleeper terrorist that he shoot himself right between the eyes with a revolver in his toilet. The revolver and the bullets were accurate. Minutes later John walks out of the toilet unharmed.
How can this be possible?

There are 3 apples in the basket and you take away 2. How many apples do you have now?

Find the mistake in the below maths equations

A = 2
A(A-1) = 2(A-1)
A2-A = 2A-2
A2-2A = A-2
A(A-2) = A-2
A = 1