Code in the Cold

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.

What was the code?

82709

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.

Posted in Brain Teasers

What’s The Captain’s Name?

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.

“What” is the name of the Captain.

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.”

Posted in Riddles

Bed, Evil, Identical

What word can be added before or after these words to make a new word or phrase?

Bed, Evil, Identical

Twin. Twin bed, Evil twin, Identical twin.

Posted in Riddles

One Six Seven Nine to Twenty Four

Given the numbers 1, 6, 7 and 9, find an equation that equals 24. You may only use each digit once.

91 – 67 = 24 or
(9 – 6) x (7 + 1) = 3 x 8 = 24 or
6 x √9 + 7 – 1 = 18 + 6 = 24

Posted in Brain Teasers

I Move Quickly

Physicists have built devices to make me move quickly. My last eight letters can be commonly found in newspapers, magazines, and journals.

What am I?

Particles. Physicists use particle accelerators and newspapers, magazines and journals have articles.

Posted in Riddles
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Often Talked Of But Never Seen

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.

Tomorrow.

Posted in Brain Teasers

Short Black Dress

In the day I stand tall in a white petticoat. By evening I’m in my short black dress. What am I?

The wick of a candle.

Posted in Riddles

A C F H K ?

What is the next letter in this sequence and why? A C F H K _

M. Skip 1 letter then 2 letters, alternating.

Posted in Brain Teasers

Coat Best Put On Wet

What kind of coat is best put on wet?

A coat of paint.

Posted in Riddles

Word Value Of 52

If every letter of the alphabet is worth its numerical value (A=1, B=2, C=3), what’s a common 11-letter word whose letter values total only 52?

Abracadabra

Posted in Brain Teasers