If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?

I possess a head

I flaunt a tail

But I don't have mouth or legs

Can you find out who I am?

It is deaf, Dumb and Blind!!!

Still, always tells the truth. What is it?

I am a type of food that is often found in the fridge and can be white in colour. What I am?
Hint 1: I am a dairy product.
Hint 2: You can spread me on the bread.

Sherlock breaks into a crime scene. The victim is the owner who is slumped dead on a chair and have a bullet hole in his head. A gun lies on the floor and a cassette recorder is found on the table. On pressing the play button, Sherlock hears the message 'I have committed sins in my life and now I offer my soul to the great Lord' and followed a gunshot Sherlock smiles and informed the police that's its a murder.

Why did he think so?

I have no doors but I have keys, I have no rooms but I have space, you can enter but you can’t leave! What am I?

I noticed one of the words in the oxford dictionary is spelled incorrectly. What about you?

One night, a woman receives a call from the police. They tell her that her husband was murdered and that she should come to the crime scene as soon as possible. The woman drops the phone, shocked, and drives 20 minutes to the crime scene. As soon as she reaches the crime scene, the police arrest her and she is convicted of murder. How do the police know she committed the crime?

You see a boat filled with people, yet there isn’t a single person on board. How is that possible?