Logic Riddles

An office is divided into 8 cubicles. How many of the cubicles are painted if only 1/8 of the cubicles are painted?

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

A prisoner is told: "If you tell a lie, we will hang you and if you tell the truth, we will shoot you." What did the prisoner say to save himself?

2, 3, 5, 9, 17, _ What is the next number in the sequence?

One is to three as three is to five and five is to four and four is the magic number.
What is the pattern?

If 1+9+8=1, what is 2+8+9?

If you toss a coin 10 times and it lands heads up every time, what are the chances it will land heads up if you toss it again?

Alex is stranded on an island covered in forest.
One day, when the wind is blowing from the west, lightning strikes the west end of the island and sets fire to the forest. The fire is very violent, burning everything in its path, and without intervention the fire will burn the whole island, killing the man in the process.

There are cliffs around the island, so he cannot jump off.

How can the Alex survive the fire? (There are no buckets or any other means to put out the fire)

There are three boxes. One is labeled "APPLES" another is labeled "ORANGES". The last one is labeled "APPLES AND ORANGES". You know that each is labeled incorrectly. You may ask me to pick one fruit from one box which you choose.

How can you label the boxes correctly?