What word is pronounced the same if you take away four of its five letters?

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

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?

There are 2 people near the river and both of them want to get on the other side. The boat can only take one of them. But they got across.
How?

I throw two dice simultaneously.

What is the probability of getting a sum as 9 of the two numbers shown?

Find the next number in the sequence

1, 2, 6, 21, 88, __?

Why do we preferably have round manhole covers and not square ones?

French Police inspects a room where there are no windows, no doors, no tables and is almost empty expect there is just a puddle of water. They found a dead man who obviously hung herself from the ceiling, but they are not able to figure out how this had happened.

John and Jacob entered the crime scene and easily able to solve the case.

How did the man die?

During a secret mission, an agent gave the following code to the higher authorities
AIM DUE OAT TIE MOD

However, the information is in one word only and the rest are fake. To assist the authorities in understanding better, he also sent them a clue, If I tell you any one character of the code, you can easily find out the number of vowels in the codeword.

Can you find out the code word?

If you drop a 15 kg iron bar and a 5 kg bag of cotton from a height of 50 meters which will reach the ground first?