A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

I am weightless, but you can see me. Put me in a bucket, and I'll make it lighter. What am I?

A little girl goes to the store and buys one dozen eggs. As she is going home, all but three break. How many eggs are left unbroken?

Can you find out which number multiplied by itself will give the output as 12345678987654321?

Name one eight-letter word with 'kst' in the middle, 'in' the beginning, 'and' at the end.?

What kind of band never plays music?

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

If you're 8 feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door?

What is in seasons, seconds, centuries and minutes but not in decades, years or days?

This is a most unusual paragraph. How quickly can you find out what is so unusual about it? It looks so ordinary, you'd think nothing was wrong with it. Actually, nothing IS wrong with it. But it is not as ordinary as you might think. If you think about it for a bit, you will find out why it is truly so unusual. So what is it? What is so unordinary about this paragraph?