What has many keys but can’t open a single lock?

Can you find a five letter word that is left with only two letters if one is removed?

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 am lying and I always lie. Tell me whether I am lying or telling the truth.

A newspaper is supposed to have 60 pages.Pages 14 and 21 are missing from the newspaper.

Can you tell me , Which other pages won't be there as well ?

How many letters are in the alphabet?

The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ?

A crime was committed at baker street. Ibrahim Dakota who was shot in the stomach was the main suspect. Sherlock questioned the suspect. The conversation started as:
Sherlock: What's your story, Ibrahim?
Ibrahim: I was walking around baker street and suddenly a man from the back shot me. I ran as fast as I could to save my life".
Sherlock: That is enough (and ask the police to arrest him).

Why does Sherlock think he is the murderer?

Today, I celebrated my 32nd birthday but I was born in 1972.
How is this possible?

The picture shows the dice results in each couple of throws. If they are actually following a pattern, can you find out the missing one?