I hope your brains are nice and warmed up! Enjoy the brain teasers!
Note: If you could all please input your answers using the previously noted html code it will allow others to answer without having a spoiler. Also, in your answer, do not include any ' or " or it will not work properly.
Question 1
What is the smallest number that when written out in English, uses all of the vowels (sans "Y" if you're one of those people who considers "Y" a vowel) exactly once?
Question 2
You have been given the task of transporting 3,000 apples, 1,000 miles, from Appleland to Bananaville. Your truck can carry 1,000 apples at a time. Every time you travel a mile towards Bananaville you must pay a tax of 1 apple but you pay nothing when going in the other direction (towards Appleland). What is the maximum number of apples you can transport to Bananaville?
Enjoy!
As I recall, "and" is technically indicative of a decimal place.
RE #1 though: are you asking for the smallest whole number? If so, my prelim number is five thousand (probably wrong, just lazy). Also, absolute value?
No 'i' and no 'a' in the actual number.
Thousand will give you A, O, and U. One thousand gets you an E. One Thousand Five gets you A, O, U, E, I.
1005.
I figured out number 2 but that is NOT easy.
Eh, I was stuck on that one. Does it have to do with transporting the apples x number of miles and dropping them off to come back with more? haha; the 'solution' in my head seems so complicated that it can't be the real answer.
One Hundred Fifty Ate.
But the question said it must use all vowels EXACTLY ONCE. So that would be five thousand then, right?
Your answer seems right, as I just came two that conclusion too, but I reread the question at hand and you can only use the vowel exactly one time.
I didn't put this in a spoiler because this isn't the correct answer.
for number 2, probably not correct... but...
I think your answer is correct. You want to take the least amount of trips as possible per mile, so you would consolidate loads as soon as possible (i.e. from 3 to 2 to 1). I'm sure theres a nice equation that shows this but way too lazy to try to come up with it...
Yeah I just used excel and did the drag method until I got the results I wanted. I too am too lazy to figure out something like that.
Five thousandths
Another riddle:
How many people were able to carefully read the teaser questions, yet inexplicably failed to read the note (emphasized in italics) indicating the proper html code for hiding answers?
minus one half
Number 2:
Anyone else get 666.67 Bananas just using back of the envelope math?
Check my answer. :)
.67 bananas really.. 2/3 of a banana?
Hahah
The devil himself.
Solution doesn't fill into the answer box apparently.
Ahh, this is right...
Well done.
Ok, I can no longer edit my comment above, pastebin'd the solution HERE
I got 833 too.
Here is the quick (and bad) python script I wrote:
startingApples = 3000
def apples(x): if x % 1000 == 0: return x - x/1000 else: return x/1000*1000 + x%1000 - 1 - x/1000
currentApples = startingApples
miles = 0
while miles 1000: currentApples = apples(currentApples) miles = miles + 1
Basically you are just taking 1,000 or whatever is left 1 mile at a time.
That's what I had and explained in plain english below
Travel 333 miles for 3 trips with 1000 apples. Pay your 999 apples. 2001 Apples
Travel 500 miles for 2 trips of 1000 apples. (one left behind from 2001) Pay your 1000 apples. 1000 Apples
Travel 167 miles for 1 trip of 1000 apples. Pay your 167 apples. 833 Apples.
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