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 can be quick and then I’m deadly, I am a rock, shell and bone medley. If I was made into a man, I’d make people dream, I gather in millions by ocean, sea and stream.
Sand. Quicksand is deadly (at least in movies). Sand is made up of rocks, shells and bones. The sandman visits you when you dream (again, according to legend, I’ve never seen him…) and there is plenty of sand in the oceans, seas and streams.
An Arab sheikh tells his two sons to race their camels to a distant city to see who will inherit his fortune. The one whose camel is slower will win. The brothers, after wandering aimlessly for days, ask a wise man for advise. After hearing the advice they jump on the camels and race as fast as they can to the city. What did the wise man say?
Each son owns a camel, let’s call them Camel A and Camel B. If Camel A is slower, son A gets the fortune. If Camel B is slower, son B gets the fortune. Neither of the sons want to enter the city first because they won’t get the fortune.
When they switch camels, son A is now riding his brother’s camel (camel B) and son B is riding his brother’s camel (camel A). Now, they each want the camel they’re riding to get to the city first. If son A wins the race on camel B, that means his camel, camel A, was slower and he wins the fortune. The same is true for the other way around if the second son wins the race on camel A.
A clock. It runs all the time, it “sings” for hourly chimes, cuckoos or alarms, it doesn’t have a head (but does have hands) and you look a clock in the face to tell the time.