Find the Next Number in the Sequence

2 9 3 1 8 4 3 6 5 7 ?

I look at you, you look at me I raise my right, you raise your left. What am I?

What is harder to catch the faster you run?

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

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

Using Only Five 5's and any mathematical operator make sum as 37

Buy me, smell me or deliver me, I do not change.

Who am I?

John is on an island and there are three crates of fruit that have washed up in front of him. One crate contains only apples. One crate contains only oranges. The other crate contains both apples and oranges.

Each crate is labelled. One reads 'apples', one reads 'oranges', and one reads 'apples and oranges'. He know that NONE of the crates have been labeled correctly - they are all wrong.

If he can only take out and look at just one of the pieces of fruit from just one of the crates, how can he label all of the crates correctly?

Two old friends, Jack and Jill, meet after a long time, and discussing as:

Jack: Hey, how are you, man?

Bill: Not bad, got married and I have three kids now.

Jack: That's awesome. How old are they?

Bill: The product of their ages is 72 and the sum of their ages is the same as your birth date.

Jack: Cool..But I still don't know.

Bill: My eldest kid just started taking piano lessons.

Jack: Oh, now I get it.

How old are Bill's kids?

Find out the missing number in the picture attached: