What occurs twice in a week, once in a year but never in a day?

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?

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

John enters a small room. The Door Closes.
When the door opens, John is in a larger room.

Explain?

What you cannot hold but it is yours?

Replace all '*' with digits 1, 2, 3, 4, 5 and 6 to make below statement true.

* *
x *
=====
* * *

You have a three-gallon and a five-gallon measuring device. You wish to measure out four gallons.

I have thought of a number that is made up by using all the ten digits just once. Here are a few clues for you to guess my number:

First digits is divisible by 1.
First two digits are divisible by 2.
First three digits are divisible by 3.
First four digits are divisible by 4.
First five digits are divisible by 5.
First six digits are divisible by 6.
First seven digits are divisible by 7.
First eight digits are divisible by 8.
First nine digits are divisible by 9.
The number is divisible by 10.

Can you find out the number ?

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

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?