A little math riddle to keep you on your toes...

vypon · 05-13-2005, 03:46 PM

I'm thinking of a 6-digit number. The sum of the digits is 43. And only two of the following three statements about the number are true: (1) it's a square number. (2) it's a cube number, and (3) the number is under 500000.

If you have the answer e-mail me at chrisdavis09@verizon.net

This stumped me (still does) :bmage: You know when the greatest mind the "Earth" doesn't get it, it's no use...

Hatake Kakashi · 05-13-2005, 05:05 PM

Hrm. A homework assignment, eh?

No thanks. But good luck to ya. Something in google might help you out.

Krylo · 05-13-2005, 05:14 PM

I'm too lazy to solve it, but here's how you do so: start by finding cubes of numbers in numerical order (start at at a biggish number) that come out to 99,000 but under 500,000, then start checking which of them are also squares by checking for square roots. THEN see which of the numbers also adds up to 43.

That should be a pretty easy way, I think... so long as you have a calculator.

capnchicken · 05-13-2005, 10:33 PM

707^2 = 499 849 is the highest square before 500 000 and adds up to 43. So that is AN answer, I don't know if its the one and only though.

FYI: there is only one number that is a six digits, is above 500,000, and is a perfect square and cube. 9^6 = 531 441, since only numbers that are powers of 6 are perfect squares and cubes. It doesn't add up to 43 though.

vypon · 05-14-2005, 07:36 AM

No, it's not a homework assignment actually! It's more of a... Hey, solve this and I'll give you20 bucks! I mean, who could turn it down?

Elmer J. · 05-14-2005, 08:37 AM

You never included that it had to be positive.
It could be negative and still technically under 500 000.
Or irrational.
Or imaginary.

vypon · 05-16-2005, 06:55 PM

First off if it is square it could not be negative, imaginary or irrational. Second, you must not have read it all the way through not to know that!

Kikuichimonji · 05-16-2005, 07:58 PM

HAH! You just divulged that it was a square

RedScar · 05-16-2005, 08:03 PM

Actually he said only two out of three were true. And if it was a cube then it would be negitive. example: -1 X -1 X -1 = -1 Therefore it could be negitive. and I think I'm going to try this.

Kikuichimonji · 05-16-2005, 08:08 PM

But what I said was that he just showed that it was definitely a square. So that makes it 1 of the next two is wrong.

05-13-2005, 03:46 PM	#1
vypon Swords are shiny....lvl.3 Join Date: Feb 2005 Location: Somewhere Posts: 16	A little math riddle to keep you on your toes... I'm thinking of a 6-digit number. The sum of the digits is 43. And only two of the following three statements about the number are true: (1) it's a square number. (2) it's a cube number, and (3) the number is under 500000. If you have the answer e-mail me at chrisdavis09@verizon.net This stumped me (still does) :bmage: You know when the greatest mind the "Earth" doesn't get it, it's no use... __________________ SWORDCHUCKS YO!

05-13-2005, 05:14 PM	#3
Krylo The Straightest Shota Join Date: Nov 2003 Location: It's a secret to everybody. Posts: 17,789	I'm too lazy to solve it, but here's how you do so: start by finding cubes of numbers in numerical order (start at at a biggish number) that come out to 99,000 but under 500,000, then start checking which of them are also squares by checking for square roots. THEN see which of the numbers also adds up to 43. That should be a pretty easy way, I think... so long as you have a calculator. __________________ I am very tired.

05-13-2005, 10:33 PM	#4
capnchicken Goomba Join Date: May 2005 Posts: 17	707^2 = 499 849 is the highest square before 500 000 and adds up to 43. So that is AN answer, I don't know if its the one and only though. FYI: there is only one number that is a six digits, is above 500,000, and is a perfect square and cube. 9^6 = 531 441, since only numbers that are powers of 6 are perfect squares and cubes. It doesn't add up to 43 though. Last edited by capnchicken; 05-13-2005 at 10:37 PM.

05-14-2005, 07:36 AM	#5
vypon Swords are shiny....lvl.3 Join Date: Feb 2005 Location: Somewhere Posts: 16	Homework? No, it's not a homework assignment actually! It's more of a... Hey, solve this and I'll give you20 bucks! I mean, who could turn it down? __________________ SWORDCHUCKS YO!

05-14-2005, 08:37 AM	#6
Elmer J. Pixie's li'l Brother Join Date: Oct 2004 Location: In Exile! Posts: 342	You never included that it had to be positive. It could be negative and still technically under 500 000. Or irrational. Or imaginary. __________________ Rule six: The winner will be the first team that wins.

05-16-2005, 06:55 PM	#7
vypon Swords are shiny....lvl.3 Join Date: Feb 2005 Location: Somewhere Posts: 16	First off if it is square it could not be negative, imaginary or irrational. Second, you must not have read it all the way through not to know that! __________________ SWORDCHUCKS YO!

05-16-2005, 08:03 PM	#9
RedScar Just another NPF ghost Join Date: Oct 2004 Location: Califorina, you heard me right. Posts: 694	Actually he said only two out of three were true. And if it was a cube then it would be negitive. example: -1 X -1 X -1 = -1 Therefore it could be negitive. and I think I'm going to try this. __________________ I'm officaly saying it now. Due to me becomeing an MMO addict (Final Fantasy XI) I will be here not often. If you see me you are lucky. True geeks know what it is to be the friend who listens. Sensitive, intelligent, beautiful girls come to us for meaningful talk and profound empathy, then go back to their idiot boyfriends for wild, monkey sex. We need to talk less and workout more, fellas. -Joe Dodson