A guy claims to do the following thing. He puts a coin in a glass bottle. Then, he shuts the mouth of the bottle with the help of a cork. Now he manages to remove the coin out from the bottle without taking out the cork or breaking the glass bottle.

Do you know how he can do it?

Today is Saturday. A person wants to meet a lawyer and as that lawyer is busy he asks him to come three days after the before day of the day after tomorrow. On which day the lawyer asks the person to come?

Given 1000 bottles of juice, one of them contains poison and tastes bitter. How do you find it in the smallest number of sips? Adding a single drop of poison to the juice will make it taste bitter. You can assume that you have the antidote for the poison.

There are hundred statements.

Statement 1: At least one of these statements is false.
Statement 2: At least two of these statements are false.
Statement 3: At least three of these statements are false.
Statement 4: At least four of these statements are false.

Statement 100: At least a hundred of these statements are false.

What is the maximum number of statements that can be true?

4 criminals are caught and are to be punished. The judge allows them to be freed if they can solve a puzzle. If they do not, they will be hung. They agreed.

The 4 criminals are lined up on some steps (shown in picture). They are all facing in the same direction. A wall separates the fourth man from the other three.

So to summarise :
Man 1 can see Man 2 and Man 3.
Man 2 can see Man 3.
Man 3 can see none of the others.
Man 4 can see none of the others.

The criminals are wearing hats. They are told that there are two white hats and two black hats. The men initially don’t know what colour hat they are wearing. They are told to shout out the colour of the hat that they are wearing as soon as they know for certain what colour it is.

They are not allowed to turn round or move. They are not allowed to talk to each other. They are not allowed to take their hats off.

Who is the first person to shout out and why?