Thursday, July 24, 2008

Round 272

Date Released: July 24th, 2008.
Date Rewarded: July 31st, 2008.

A Chomby was walking down a path one day when Jhudora appeared in front of it. "Solve this puzzle, and you may pass," she said.

Suppose you have four numbered tiles, one with a 3 on it, one with a 4, one with a 5, and one with a 6.

What is the largest four-digit number that can be formed by these tiles that is not evenly divisible by 9? Only submit a four-digit number as your answer; any other information may disqualify your entry.


Prize


Faerie Tales: Cloud Nine

Click to show/solution

A number is divisible by 9 when the sum of its digits is divisible by 9 [1]. If we sum the four given digits: 3 + 4 + 5 + 6 = 18 (which is divisible by 9), there can't be a number of those 4 digits that isn't divisible by 9.

However, if you rotate the #6 tile, you get #9. Now, the sum of the digits is 3 + 4 + 5 + 9 = 21 (which is not divisible by 9). Any 4 digit number that formed by the above digits will not be divisible by 9. Therefore, the answer is the largest number formed by those 4 digits (3, 4, 5, 9). It is 9543.

Results: some (5503-5517) people guessed the correct answer earning themselves 363 NP each.

References:
[1] Divisibility rule

28 comments:

Pickley said...

sweetious man thx for the tip

sokkerfan14 said...

are you allowed to use exponents for this?

LC Solver said...

I don't think so. It should be a 4-digit number!

Anonymous person......... said...

that helped a lot!!!

Deuce Loosely said...

I was suspicious so I verified it here. I hope this time your logic holds up... ;)

Nicolas4433 said...

What does "evenly divisible by 9" mean?

africanman132 said...

It means that when you divide it by 9 there are no decimals, just a whole number

jake said...

wait, wasn't it not evenly divisible by 9? so there would be decimals?

Q_SLqnUjpppgchmCBk7nRzJDhYT_FgcyHPI- said...

i still don't get it are you supposed to add or multiply it then you devide it by 9 right

LC Solver said...

please don't post the answer here. Either right or wrong.

Pina Colada said...

Ah! I knew I was missing something when I wasn't coming up with any non-divisibles of 9. Fortunately, I had all the combinations written out, so I just had to flip it. :D

Thanks for the hint! I overlooked the fact of the tiles completely.

But I've actually found a use for that combinatorics class now. Made it soo much easier.

jake said...

I'm so sorry.

raghav said...

guys im trying every number they all end up evenly divisible buy 9. any tips plzzzzzzzzzzzzzzzz....i got nothin

LC Solver said...

apparently you haven't read the hint, raghav

beansrockmysox said...

thanx sooo much for the tip!

Emmah--X said...

im really confused... i cant get any number from the 4 given to get a number that is not divisible by 9!

LC Solver said...

your didn't read the hint, did you?

jake said...

omg, guys this is sooo obvious!! you have a 3 a 4 a 5 and a 6. the 6 becomes 9. the biggest number out of 9, 5, 4, and 3 is.....

Anitka said...

If you guys are going to post the answer. AT LEAST post the RIGHT answer. Gee.

IamaangelXxX said...

the actual answer is 4356. duh

Anitka said...

Hahaha!

IC Solver piratically gave you the answer. Duh!

Jennifer said...

looks like you were right.

Congratulations! You have guessed correctly in the Lenny Conundrum game (round 272). You have won 363 NP!

Anitka said...
This comment has been removed by the author.
africanman132 said...

has anyone really recieved the pizes yet? I'm just wondering because I haven't and I'm sure that I put in the correct answer.

jake said...

i did! i told you guys! its obviously 9543. its sooo obvious, ive been giving out clues too! jeez!

africanman132 said...

that's what i put, but I recieved no prize

jake said...

well sorry for you, thats too bad!

i got the prize and the trophy and the avatar!!!

burnagio

Rodrigo said...

I won nothing. Even neopoints =(