The worlds first riddle!

Mark:

TRIANGULAR NUMBERS

3*6*21 = 378
3*10*21 = 630
3*6*55 = 990




First off print out all the triangular numbers up to a max of 3 digits. This covers from 1 to 990. Ignoring the 1, look at what the smallest number we were looking for was from 3 triangular numbers, which is 3 x 6 x 10 = 180. 180 is not a triangular number, so look at 3 x 6 x 15 = 270. Again, this is not a triangular number. So look at 3 x 6 x 21 = 378. This is a triangular number, so is likely to be one of our answers.

Next look at the highest number we need to look for. So 3 x 6 = 18. 990 divided by 18 = 55. This just happens to provide us with our second solution, as well as telling us that the only triangular numbers we need to look at range from 3 to 55.

Next was just a bit of trial and error to find a third solution, and it turns out to be 3 x 10 x 21 = 630.

So our 3 solutions are:
3 x 6 x 21 = 378
3 x 6 x 55 = 990
3 x 10 x 21 = 630.

The numbers 55 and 10 appear only in 2 of the solutions, so they must be Mark and Try's solutions.

Therefore, the answer to the question is the numbers 3, 6 and 21.




Sweet lips quilled, "Wilde lea passing bi"


Oscar Wilde, or wild child?

I can resist everything except temptation, and the only way to get rid of a temptation is to yield to it.


Oh God I miss YKW.



batctoerixal


FPROOTEOD

[size=7]bacterial toxin
protein food[/size]

Mark:

Batctoerixal = bacterial toxin
FPROOTEOD = protein food

You just can't fool some people.



Imagine a 4 x 4 grid. If you place a 1, 2, 3 or 4 in each of the sixteen grid squares, with no digit repeated in any row or column, you end up with a 'Latin square'. You can read eight four-figure numbers in the grid, across the rows and down the columns. All of the four-figure numbers are different, none is a prime, no two are reverses of each other, and:

(1st column x 3rd column) divided by (2nd row x 3rd row) is greater than 4.

What is the Latin square

I don't even try to keep up with this thread - hurts my head. Had to come say hello though! Always so impressed with all you clever folks! :wink:
....oh and - Hello!

LATIN SQUARE

[size=7]3241
1432
2314
4123[/size]

Yes, I swam with them in Ixtapa. There were 2 dolphins for every 4 people. It was so neat. They even kiss ya, each dolphin at the same time on each side of your cheek When I get to Cancun I will check out the stingrays. Meaning swim with them

p.s. mismi40 it hurts my head too

Makes me happy not to be the only one TTH! Hope you are enjoying your vacation - it sounds wonderful!

Mark:

LATIN SQUARE

3241
1432
2314
4123


- write down all 24 permutations of 1234
- first you rule out all prime numbers, so 20 remain
- you can determine the few possibilities of elements (1,1), (1,3), (2,1) and (2,2) by the division constraint.

Then start by selecting a random possible first line and rule out all of the 19 other permutations that don't fit in a Latin Square knowing that you can't use reversed lines either; this really brings the possibilities down to a doable number…Better still wait for Mark.



Miss mi, how very nice to see you have been released from jail. I have always believed in your innocence…and fairies! How did your trip go?



TTH; sounds like you are having fun and enjoying yourself; makes me feel guilty for eating dolphin steaks…Tasty!


Ouch! My head…



aassatsse


STATARTIAON

It was great Try. We stayed in this cabin and grilled steaks and had baked sweet potatoes Friday night - drank plenty of wine and laughed - it was so fun! Then made smores by the fire inside. Saturday we got up and out early hiked down to Little River and played for a long time. Hiked back and ate lunch and watched football. No lie...all girls watching Auburn play Georgia and drank beer and laughed! It was a blast. Glad to be home - but kind of sad it is behind me now....did ya' miss me? :wink:

I am back home now btw
assassinate?

mismi40 thanks

Try says: Miss mi, how very nice to see you have been released from jail. I have always believed in your innocence…and fairies! How did your trip go?

Well...I like to have fun too! Innocence is - well - only possible in babies in my opinion! Where are you? Keep expecting you to turn up!

Miss mi wrote, yabba dabba…"....did ya' miss me?"

Did we miss you!....Sorry; you are? No, seriously; have your people call my people, we can do lunch and catch up on all the gossip. :wink:

"Where are you? Keep expecting you to turn up!"

Long story…the cops had the place staked out; I'll take a rain check!


TTH:

Aassatsse = assassinate

Damn! I thought that would last a 1000 years - You are too smart.

STATARTIAON = mismi40 thanks (Not quite what I was thinking of)

Great....yabba dabba... My people advised me not to contact your people. They say that being seen with you, while helping your image greatly, possibly could damage mine. toodles darling.

Hey! I like that. Can I use it as a tag line?

Have no clue what to say...be my guest? I always feel like I am standing on a rug that is about to be pulled out from under me...why is that I wonder? :wink:

Now what's all this about a rug?


Woops, I forgot the riddle!



In the following; digits have been consistently replaced by letters.

ONE, FOUR, NINE are perfect squares.

More than one of the following statements is true:

EIGHT is even
EIGHT + 1 is a perfect square
EIGHT + ONE is a perfect square
EIGHT - 1 is a prime
EIGHT - ONE is a prime
EIGHT + 7 is the product of two primes
EIGHTEEN is divisible by 3
EIGHTEEN is divisible by THREE
EIGHTEEN - 2 is a perfect square

What is the RIGHT number

I'm a tag line

This was good mismi40

These are Try's people.....
http://www.youtube.com/watch?v=M_Oj1Yx80uc


waiting on mark, thoh or someone else to do the math problem. I don't want to
SO ONE OF YOU BETTER SHOW UP & ANSWER IT!!!

That was not my answer
Try you are weird, really, trust me on this okay

anyway, the only thing I could come up and it can't be right. At least it doesn't make any sense to me (which isn't hard to do)
art in a station?

STATARTIAON
[size=7]a train station[/size]