Last winter I found myself locked out of my house because I couldn’t remember the 5-digit code to open the garage door. I used the following facts to get inside.
1. The second and third digits add up to 9.
2. The first digit is equal to the second digit cubed.
3. The sum of the third and fifth digits is the smallest number with exactly five divisors.
4. The fourth digit is equal to 6 times the second-to-last digit.
5. None of the digits repeat.
If we label each digit a, b, c, d and e, we get the following equations.
1. b + c = 9
2. a = b3
3. c + e = 16 (since 16 is the smallest number with five divisors – 1, 2, 4, 8 and 16).
4. d = 6 * d (The fourth and second-to-last digits are the same number, meaning d must be zero to satisfy the equation)
5. b must be zero, one or two (b can’t be three because that makes a=27, which isn’t a single digit). Zero and one result in duplicate digits (00907 and 11808 respectively) so the only remaining value for b is 2, giving us 82709 and warmth.
I was standing by a railing,
watching a ship a sailing.
What is the Captain’s name.
If you don’t know his name,
It’s you to blame.
What is the Captain’s name.
Thanks to Sherry for submitting this one. Here’s the backstory of the riddle.
“One of my favorites I remember as a child from my father, he always said it was a Newfoundland riddle. I don’t know where it may have originated. This is usually spoken. Ensure you say it as a statement and not a question.”
Often talked of, never seen,
Ever coming, never been,
Daily looked for, never here,
Still approaching, coming near,
Thousands for it’s visit wait,
But alas for their fate,
Tho’ they expect me to appear,
They will never find me here.