Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

A wooden log balances equally on the scales when weighed with three-quarters of a pound and three-quarters of a wooden log.

Can you calculate the weight of the entire wooden log?

Find the next number in the sequence

1, 2, 6, 21, 88, __?

How many people must be gathered together in a room, before you can be certain that there is a greater than 50/50 chance that at least two of them have the same birthday?

You have three orange, two pink and five purple balls in the drawer beside your bed. There is no electricity and the room is entirely dark. How many balls must you take out to ensure at least one ball of each colour at least?

There are four 3-link chains. All you have to do is join them into a big 12-link chain. For joining two closed links, one of the links must be cut and placed onto the other link for closing.

How many minimum links will you have to cut to make the big chain?

I start and end with 500 and carry a 5 in my heart. But I require the first letter and the first number to be complete. I am the name of a King.

Who am I ?

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?

Decode below three cipher riddles:

26 L of the A
7 D of the W
1000 Y in a M

The centre of the third figure is empty. What digit should fit inside?