I am quite hot but become too cold if you remove the first two letters. What am I?

In a guessing game, five friends had to guess the exact numbers of apples in a covered basket.
Friends guessed 22, 24, 29, 33, and 38, but none of the guesses was correct. The guesses were off by 1, 8, 6, 3, and 8 (in random order).

Can you determine the number of apples in a basket from this information?

I have a clock(12-hour format) and both the needles of the clock overlap at 12:00.
After how much time, they will overlap again?

The day after tomorrow will be three days before Tuesday. Can you find out what is today?

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

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

What three numbers, none of which is zero, give the same result whether they’re added or multiplied?

Replace the question mark with the correct number.

If two's company, and three's a crowd, then whats four and five ?

There are people and strange monkeys on this island, and you can not tell who is who (Edit: until you understand what they said - see below). They speak either only the truth or only lies.
Who are the following two guys?
A: B is a lying monkey. I am human.
B: A is telling the truth.