Tuesday Puzzle

3/9/10, 12:55 PM #1

Dan Donaldson
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Tuesday Puzzle

Dan Donaldson

Here is an easy one for you.

Consider the following:

1. The number is less than 500
2. The number is a perfect square
3. The number is a perfect cube

Two of the above are true

what is the number?

- - -

I have been woodworking for about 25 years now, and would consider myself an enthusiastic amateur. My claim to fame (or infamy) has always been fixing stuff. I spent time in the Air Force in the 60's then went to work as an electronic technician for civil service. I finally got my EE, and being fed up with the civil service nonsense, took a job with Ford Motor Company until I went with the split to Visteon last year. I got interested in music and started playing in a bluegrass band. I wanted a new guitar, and that kind of led me into woodworking. I bought some books, a few tools, and built a guitar. Luckily, I didn't know any better than to try that as a first ever project. I still play it when I get a chance, so it must not be too bad if it can live for over 20 years. After a stint in Mexico for my job, I moved into a new house and built a small shop. Since then I have been collecting tools and skills, probably more of the former than the latter ;-). Finding this site has done more for my skills and enjoyment than anything else. I have learned a lot and really enjoy the friendships that I have made here. I have been married to LOML (Lori) for 32 years now and have 6 kids. When they are all gone, I want to get a 1 bedroom house (so there is not room for them to move back in) and at least a 6 car heated/air conditioned garage for a shop. (Dream on...)

Re: Tuesday Puzzle

3/9/10, 3:16 PM #2

Gary Smyth
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Re: Tuesday Puzzle

Gary Smyth

Not 1 if negative numbers don't count.

Deadly sins, slightly more than one, nonagon

Re: Tuesday Puzzle

3/9/10, 3:35 PM #3

Alex Y
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That's AN answer

Alex Y

I suspect there are infinitely many. Another is the square of your answer. There is one smaller than your answer.

Re: Tuesday Puzzle

3/9/10, 4:53 PM #4

Gary Smyth
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Re: That's AN answer

Gary Smyth

Fitting the parameters, and starting with a 5,7, or 9?

Re: Tuesday Puzzle

3/9/10, 5:23 PM #5

Alex Y
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Re: That's AN answer

Alex Y

Yes.

531,441 is 81^3 and 729^2.

And the smaller one also meets the conditions, if I understand them correctly.

Re: Tuesday Puzzle

3/9/10, 7:35 PM #6

Dan Donaldson
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That is the one I was seeking

- - -

I have been woodworking for about 25 years now, and would consider myself an enthusiastic amateur. My claim to fame (or infamy) has always been fixing stuff. I spent time in the Air Force in the 60's then went to work as an electronic technician for civil service. I finally got my EE, and being fed up with the civil service nonsense, took a job with Ford Motor Company until I went with the split to Visteon last year. I got interested in music and started playing in a bluegrass band. I wanted a new guitar, and that kind of led me into woodworking. I bought some books, a few tools, and built a guitar. Luckily, I didn't know any better than to try that as a first ever project. I still play it when I get a chance, so it must not be too bad if it can live for over 20 years. After a stint in Mexico for my job, I moved into a new house and built a small shop. Since then I have been collecting tools and skills, probably more of the former than the latter ;-). Finding this site has done more for my skills and enjoyment than anything else. I have learned a lot and really enjoy the friendships that I have made here. I have been married to LOML (Lori) for 32 years now and have 6 kids. When they are all gone, I want to get a 1 bedroom house (so there is not room for them to move back in) and at least a 6 car heated/air conditioned garage for a shop. (Dream on...)

Re: Tuesday Puzzle

3/9/10, 7:37 PM #7

Dan Donaldson
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Re: Tuesday Puzzle

Dan Donaldson

An extra just for grins. It is fairly easy also.

There are 5 houses on a road, call them A,B,C,D,and E.

The house numbers for B,C, and D when multiplied together equals 1260
The numbers B,C, and D when added equal twice E's number.
The number of A is half again E's number

Numbers on this road run from 2 to 222.

- - -

I have been woodworking for about 25 years now, and would consider myself an enthusiastic amateur. My claim to fame (or infamy) has always been fixing stuff. I spent time in the Air Force in the 60's then went to work as an electronic technician for civil service. I finally got my EE, and being fed up with the civil service nonsense, took a job with Ford Motor Company until I went with the split to Visteon last year. I got interested in music and started playing in a bluegrass band. I wanted a new guitar, and that kind of led me into woodworking. I bought some books, a few tools, and built a guitar. Luckily, I didn't know any better than to try that as a first ever project. I still play it when I get a chance, so it must not be too bad if it can live for over 20 years. After a stint in Mexico for my job, I moved into a new house and built a small shop. Since then I have been collecting tools and skills, probably more of the former than the latter ;-). Finding this site has done more for my skills and enjoyment than anything else. I have learned a lot and really enjoy the friendships that I have made here. I have been married to LOML (Lori) for 32 years now and have 6 kids. When they are all gone, I want to get a 1 bedroom house (so there is not room for them to move back in) and at least a 6 car heated/air conditioned garage for a shop. (Dream on...)

Re: Tuesday Puzzle

3/9/10, 8:19 PM #8

Alex Y
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WHICH is the one you were seeking?

Alex Y

I think your post was a reply to mine, in which case you mean the one that is smaller than 729. But it is a little difficult to see that for sure.

Re: Tuesday Puzzle

3/9/10, 8:45 PM #9

Alex Y
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Depends on what you mean by

Alex Y

Numbers on this road run from 2 to 222.

If what is intended the the looser restriction that these houses are on that road, and thus all five house numbers are >= 2 and <=222, then I have five solutions. If you mean that these house numbers include 2, 222, and three numbers in that range, then it seems impossible.

Re: Tuesday Puzzle

3/9/10, 10:58 PM #10

Alex Y
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What about 9?

Alex Y

Looking again at this thread, it looks like Dan was replying to Gary, confirming the 729 answer. But 9 is the lowest number that meets the requirements. It meets two of the first three conditions (it is a perfect square less than 500), and it starts (and ends!) with 9.

Re: Tuesday Puzzle

3/10/10, 3:22 PM #11

Dan Donaldson
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Your first assumption (answer)

Dan Donaldson

What are your 5 solutions ? See if they match the one I have.

A-E: 36,4,9,35,24

- - -

I have been woodworking for about 25 years now, and would consider myself an enthusiastic amateur. My claim to fame (or infamy) has always been fixing stuff. I spent time in the Air Force in the 60's then went to work as an electronic technician for civil service. I finally got my EE, and being fed up with the civil service nonsense, took a job with Ford Motor Company until I went with the split to Visteon last year. I got interested in music and started playing in a bluegrass band. I wanted a new guitar, and that kind of led me into woodworking. I bought some books, a few tools, and built a guitar. Luckily, I didn't know any better than to try that as a first ever project. I still play it when I get a chance, so it must not be too bad if it can live for over 20 years. After a stint in Mexico for my job, I moved into a new house and built a small shop. Since then I have been collecting tools and skills, probably more of the former than the latter ;-). Finding this site has done more for my skills and enjoyment than anything else. I have learned a lot and really enjoy the friendships that I have made here. I have been married to LOML (Lori) for 32 years now and have 6 kids. When they are all gone, I want to get a 1 bedroom house (so there is not room for them to move back in) and at least a 6 car heated/air conditioned garage for a shop. (Dream on...)

Re: Tuesday Puzzle

3/10/10, 4:51 PM #12

Alex Y
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Re: Your first assumption (answer)

Alex Y

Absent the permutations of B,C,D, I have the following:

36,4,9,35,24 (your solution)

30,4,15,21,20

42,4,45,7,28

54,4,63,5,36

84,3,4,105,56

27,20,9,7,18

33,20,3,21,22

18,60,3,7,36

69,84,3,5,46

And I'm not sure I have them all.

Tuesday Puzzle

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