You walk into a room that contains a match, a kerosene lamp, a candle and a fireplace. What would you light first?

Imagine a box with two cogwheels, one big with 24 teeth and one small with 8 teeth. The big one is firmly attached to the center of the box which means it does not turn or move while the small one rotates around the big one.

How many times do you think that the smaller wheel will turn compared to the box when it turns once around the big one?

What breaks yet never falls, and what falls yet never breaks?

This was asked in an interview with Coa-Cola.

The interviewer has given me 100 marbles(50 white and 50 black) and two empty boxes.
He then told me that he will leave the room and i need to place all the marbles in two boxes.

And When he come back, he will draw a marble from any of the two box and if the marble is white I will be hired.

Also
* No box can be empty.
* All 100 marbles must be placed in one of the two boxes.

So what should I have done?

Can you spot the man between the coffee bean in the picture below ?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

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

Can you think of a smallest +ve number such that if we shuffle the digits of the number, the new number becomes double the original number?

I am a type of word that is spelt incorrectly or used differently, on purpose for humour. What am I?
Hint 1: You can find me in a joke.
Hint 2: I am a play on words.

Which word does the below Plexor means ?