Mike has some chickens that have been laying him plenty of eggs. He wants to give away his eggs to several of his friends, but he wants to give them all the same number of eggs. He figures out that he needs to give 7 of his friends eggs for them to get the same amount, otherwise there is 1 extra egg left.
What is the least number of eggs he needs for this to be true?
301 eggs.
The number of eggs must be one more than a number that is divisible by 2, 3, 4, 5, and 6 since each of these numbers leave a remainder of 1.
For this to be true one less than the number must be divisible by 5, 4, and 3 (6 is 2*3 and 2 is a factor of 4 so they will automatically be a factor). 5 * 4 * 3 = 60. Then you just must find a multiple of 60 such that 60 * n + 1 is divisible by 7. 61 / 7, 121 / 7, 181 / 7, 241 / 7 all leave remainders but 301 / 7 doesn't.
The Number Pyramid
Riddle:
Can you complete the pyramid by replacing X, Y and "?" with the correct number?
A magician is standing on a concrete floor holding a raw egg with his hand outstretched.
Without the aid of any other objects, he is able to drop the egg 2 feet without breaking its shell.
How did he do it?
Marble walls as white as milk, lined with skin as soft as silk, in a fountain crystal clear, a golden apple will appear, there is no key to this stronghold, yet theives break in and steal the gold. What is it?
I can sizzle like bacon, I am made with an egg, I have plenty of backbone, but lack a good leg.
I peel layers like onions, but still remain whole, I can be long like a flagpole, yet fit in a hole.
What am I?