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| Math Challenges... solve and win e$1000 |
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| conbrio |
 Posted: Tue Feb 13, 2007 6:25 am Post subject: |
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Investing Sr. Associate
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For those interested this is how I started to figure out the last problem.
1 . 4 . . 6
. . . . . .
. . . . . .
. . . . . .
. . . . . .
. 5 . 3 2 .
I took the numbers and put them all in one line in the order that they appear:
154326
I then did the same pattern for the rest of the number through 36
01 05 04 03 02 06
07 11 10 09 08 12
13 17 16 15 14 18
19 23 22 21 20 24
25 29 28 27 26 30
31 35 34 33 32 36
each line did not add up to the 111. I then did the same thing but a little differently. I alternated each row
01 05 04 03 02 06
12 08 09 10 11 07
13 17 16 15 14 18
24 20 21 22 23 19
25 29 28 27 26 30
36 32 33 34 35 31
While each line added to 111 the opposite corners did not equal each other. I then reversed the last two lines'
01 05 04 03 02 06
12 08 09 10 11 07
13 17 16 15 14 18
24 20 21 22 23 19
30 26 27 28 29 25
31 35 34 33 32 36.
Again all columns added to 111 and the opposite corners equaled each other. From here I took a guess that if the corners equaled each other that some other opposites equaled each other and the corners.
1+36 = 37
31+6 = 37
5+32=37
2+35=37
This theory did not quite pan out for me the way I hoped so I then added all for corners together.
1+6+31+36=74
Then I did the same thing with the numbers inside each corner number on the same row.
2+5+32+35=74
and
3+4+33+34=74
This worked for me and it was a plug and play and guess and check until I got it all figured out. I did have to rearrange a few numbers but for the most part the same number ended up in the same column as I plotted out at the start. The final answer is as in the previous post.
01 32 04 33 35 06
12 26 09 10 29 25
13 17 21 22 20 18
24 23 15 16 14 19
30 08 28 27 11 07
31 05 34 03 02 36 |
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| Dave Rathbun |
| Posted: Tue Feb 13, 2007 6:55 am Post subject: |
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CFO
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Wow, that's cool, thanks! I wondered how you would go about solving something like this. It's interesting to see the thought process involved.
FWIW, Grim has - for the time being - decided that he doesn't need all of his cash and has donated it to me. I don't need it either.  So look for a dramatic increase in prize money awarded in both this contents as well as the "What Am I?" picture contest I just started.
conbrio, I am going to donate an extra e$5000 for your thorough and interesting explanation.  |
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| conbrio |
| Posted: Tue Feb 13, 2007 7:12 am Post subject: |
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Investing Sr. Associate
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| Dave Rathbun |
| Posted: Tue Feb 13, 2007 7:18 am Post subject: |
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CFO
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Invest it wisely  |
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| Dave Rathbun |
| Posted: Wed Feb 14, 2007 3:38 pm Post subject: |
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CFO
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e$ Challenge #52
Compete for e$5000! (The prize amount was increased starting with e$ Challenge #15, and again with #52.) Solve the puzzle and win! ... first winning answer to each puzzle. Some of the puzzles are going to be actual math problems, others require logical thinking instead. Each puzzle comes from a book I bought a while back. The rules:
- The answer in the book is final. Blame the publisher, not me, if you don't agree
- The first person to post the correct answer wins. Posting only, no PM's please.
- Edited posts are disqualified, even if you have the correct answer. The most recent (last) post by you for that puzzle is the only one that will be used, so if you need to make corrections simply enter another post for the challenge.
- You cannot win two challenges in a row, so the previous winner is not eligible for the next challenge.
- You may win more than one challenge, just not two in a row.
I will try to post one puzzle every other day. The puzzle will be posted first, then the following day (if available) a winner will be announced. Then the arguments or discussion about the solution can commence.  If no correct solution has been provided then the puzzle will be extended until a winning solution is provided. The puzzles get more challenging as we get further into the book.
Grand Prize
The book has 100 puzzles. Each individual winner gets one lottery ticket per win. Once all 100 puzzles have been posted (and solved) I will draw three winning tickets from a hat. Each winner will get to pick one of 3 mystery portfolios. The portfolio will have an initial value of e$2000 as of the end of February, 2006. Each has been invested as completely as possible into one stock from the S&P 500 chosen at random. The winners will have no idea which portfolio is worth the most. The first person drawn will get their pick of all 3 portfolios, the second drawn picks from between the two remaining, and the third drawn gets stuck (or lucky) with the last one available. The holding will be sold at current market price as of the end of the contest and the e$ transferred into your account. Your name may be drawn more than once, so the more e$ challenges you win, the better your chances of winning one of the three portfolios. 
The stocks were randomly selected and purchased at market open March 1, 2006. e$2000 worth of shares of each of them were put into a secret account. These will become the grand prize portfolios, and the final value will be determined at market close on the day the last puzzle is solved and the e$ prize awarded.
Thanks for playing
Ready?
Here's your 52nd e$ Challenge Puzzle! Benjamin is preparing for a 42,000 mile trip in his new car, a traditional model with four wheels. In other words, not a weird three-wheeled vehicle or a motor cycle or something. Benjamin needs to buy enough tires for the trip. Each tire lasts for 24,000 miles. Benjamin contends that 7 will be enough. Is he right?
Since this question is posed as a "yes" or "no" question, you cannot win the challenge without justifying (correctly) your answer. Good luck!
Winner Hall of Fame
e$ Challenge Winner #1 Iceemaan
e$ Challenge Winner #2 nelaina
e$ Challenge Winner #3 conbrio
e$ Challenge Winner #4 geb9696
e$ Challenge Winner #5 CJ. Wentworth
e$ Challenge Winner #6 Im Not Warren Buffett
e$ Challenge Winner #7 CJ. Wentworth
e$ Challenge Winner #8 conbrio
e$ Challenge Winner #9 Im Not Warren Buffett
e$ Challenge Winner #10 conbrio
e$ Challenge Winner #11 Im Not Warren Buffett
e$ Challenge Winner #12 CJ. Wentworth
e$ Challenge Winner #13 rodder4hire
e$ Challenge Winner #14 The Jersey Devil
e$ Challenge Winner #15 conbrio
e$ Challenge Winner #16 The Jersey Devil
e$ Challenge Winner #17 emkie
e$ Challenge Winner #18 CJ. Wentworth
e$ Challenge Winner #19 InvestingMac
e$ Challenge Winner #20 emkie
e$ Challenge Winner #21 toys4tots16
e$ Challenge Winner #22 InvestingMac
e$ Challenge Winner #23 CJ. Wentworth
e$ Challenge Winner #24 nelaina
e$ Challenge Winner #25 emkie
e$ Challenge Winner #26 nelaina
e$ Challenge Winner #27 emkie
e$ Challenge Winner #28 MrT
e$ Challenge Winner #29 CJ. Wentworth
e$ Challenge Winner #30 conbrio
e$ Challenge Winner #31 MrT
e$ Challenge Winner #32 InvestingMac
e$ Challenge Winner #33 CJ. Wentworth
e$ Challenge Winner #34 Im Not Warren Buffett
e$ Challenge Winner #35 CJ. Wentworth
e$ Challenge Winner #36 MrT
e$ Challenge Winner #37 toys4tots16
e$ Challenge Winner #38 CJ. Wentworth
e$ Challenge Winner #39 MrT
e$ Challenge Winner #40 rino1
e$ Challenge Winner #41 CJ. Wentworth
e$ Challenge Winner #42 MrT
e$ Challenge Winner #43 SpiffWilkie
e$ Challenge Winner #44 MrT
e$ Challenge Winner #45 Nobody!
e$ Challenge Winner #46 prederer
e$ Challenge Winner #47 conbrio
e$ Challenge Winner #48 MrT
e$ Challenge Winner #49 gnd0221186
e$ Challenge Winner #50 Kiman4
e$ Challenge Winner #51 conbrio
e$ Challenge Winner #52 ??? Your Name Here! ???
e$ Challenge Holdings Performance as of this post were: +4.59%, +8.32%, and a buy-out at 70+ percent. I have to figure out where the stock went and how to adjust the challenge portfolio.
Remember to spread the winnings around, the previous winner (conbrio) is not elegible to win the current challenge. The next puzzle will be posted on or after Friday, time permitting, or after this puzzle is solved, whichever comes later. Total e$ prizes paid to date: e$52,500 + One Barren Desert worth e$1125 + Two Barren Deserts worth a total of e$2970 for a total of just over e$50K for the duration of this topic. |
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| Dave Rathbun |
| Posted: Wed Feb 14, 2007 3:42 pm Post subject: |
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CFO
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Winners in alphabetical order and the number of challenges won so far:
CJ. Wentworth 10
conbrio 7
MrT 7
emkie 4
Im Not Warren Buffett 4
InvestingMac 3
nelaina 3
The Jersey Devil 2
toys4tots16 2
geb9696 1
gnd0221186 1
Iceemaan 1
Kiman4 1
prederer 1
rino1 1
rodder4hire 1
SpiffWilkie 1 |
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| MrT |
| Posted: Wed Feb 14, 2007 5:22 pm Post subject: |
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Investing Sr. Associate
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| Yes, he needs a total of 168,000 miles worth of tires because he needs 4 tires to go 42,000 miles each (42,000*4=168,000). Because he is weird and can only get 24,000 mile tires, so divide 168,000 by 24,000 to get 7. This is doable by switching around tires before they wear out completely. For example, ride the first 4 for 18,000 miles, then put on three new tires, leave one on, then every 6,000 miles, switch out the expired one and put on one of the 18,000 mile tires, and put on a new one. They will all have exactly 24,000 on them at the end. |
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| conbrio |
| Posted: Sat Feb 17, 2007 5:18 am Post subject: |
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Investing Sr. Associate
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| what was the 'official' answer for the 6x6 magic square in the book? kinda wondering |
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| Dave Rathbun |
| Posted: Sat Feb 17, 2007 11:07 am Post subject: |
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CFO
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| I don't actually know, I just checked your math and they all added up, so I went with it. I'll get the answer out and post it if it's different. |
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| Dave Rathbun |
| Posted: Mon Feb 19, 2007 2:47 pm Post subject: |
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CFO
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| conbrio wrote: | | what was the 'official' answer for the 6x6 magic square in the book? kinda wondering |
Here you go... some of the rows were identical, others were not.
| Code: | 01 32 04 33 35 06
12 08 28 27 11 25
19 23 15 16 14 24
18 17 21 22 20 13
30 26 09 10 29 07
31 05 34 03 02 36 | |
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| Dave Rathbun |
| Posted: Mon Feb 19, 2007 2:49 pm Post subject: |
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CFO
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| MrT wrote: | | Yes, ... They will all have exactly 24,000 on them at the end. |
A correct answer, slighly different from what was in the book but the reasoning is the same. e$10,000 to be awarded to MrT for the Math Challenge #52.
e$ Challenge #53 to be posted in just a few minutes. |
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| Dave Rathbun |
| Posted: Mon Feb 19, 2007 2:58 pm Post subject: e$ Challenge #53 |
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CFO
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e$ Challenge #53
Compete for e$5000! (The prize amount was increased starting with e$ Challenge #15, and again with #52.) Solve the puzzle and win! ... first winning answer to each puzzle. Some of the puzzles are going to be actual math problems, others require logical thinking instead. Each puzzle comes from a book I bought a while back. The rules:
- The answer in the book is final. Blame the publisher, not me, if you don't agree
- The first person to post the correct answer wins. Posting only, no PM's please.
- Edited posts are disqualified, even if you have the correct answer. The most recent (last) post by you for that puzzle is the only one that will be used, so if you need to make corrections simply enter another post for the challenge.
- You cannot win two challenges in a row, so the previous winner is not eligible for the next challenge.
- You may win more than one challenge, just not two in a row.
I will try to post one puzzle every other day. The puzzle will be posted first, then the following day (if available) a winner will be announced. Then the arguments or discussion about the solution can commence. If no correct solution has been provided then the puzzle will be extended until a winning solution is provided. The puzzles get more challenging as we get further into the book.
Grand Prize
The book has 100 puzzles. Each individual winner gets one lottery ticket per win. Once all 100 puzzles have been posted (and solved) I will draw three winning tickets from a hat. Each winner will get to pick one of 3 mystery portfolios. The portfolio will have an initial value of e$2000 as of the end of February, 2006. Each has been invested as completely as possible into one stock from the S&P 500 chosen at random. The winners will have no idea which portfolio is worth the most. The first person drawn will get their pick of all 3 portfolios, the second drawn picks from between the two remaining, and the third drawn gets stuck (or lucky) with the last one available. The holding will be sold at current market price as of the end of the contest and the e$ transferred into your account. Your name may be drawn more than once, so the more e$ challenges you win, the better your chances of winning one of the three portfolios.
The stocks were randomly selected and purchased at market open March 1, 2006. e$2000 worth of shares of each of them were put into a secret account. These will become the grand prize portfolios, and the final value will be determined at market close on the day the last puzzle is solved and the e$ prize awarded.
Thanks for playing
Ready?
Here's your 53rd e$ Challenge Puzzle! Benjamin owns three casks of 100 liters, one of 50, and one of 25. The 100 liter casks are filled with Burgundy, Bordeaux, and Algerian wine respectively. The small casks are empty.
To make three qualities of wine, Benjamin mixes the three wines, using the five casks exclusively.
After six operations the three large casks are again full. The first is 1/4 Burgundy, 1/2 Bordeaux, and 1/4 Algerian. The second is 1/4 Bordeaux, 1/4 Algerian, and 1/2 Burgundy. The last is 1/2 Algerian, 1/4 Burgundy, and 1/4 Bordeaux.
What did Benjamin do?
Winner Hall of Fame
e$ Challenge Winner #1 Iceemaan
e$ Challenge Winner #2 nelaina
e$ Challenge Winner #3 conbrio
e$ Challenge Winner #4 geb9696
e$ Challenge Winner #5 CJ. Wentworth
e$ Challenge Winner #6 Im Not Warren Buffett
e$ Challenge Winner #7 CJ. Wentworth
e$ Challenge Winner #8 conbrio
e$ Challenge Winner #9 Im Not Warren Buffett
e$ Challenge Winner #10 conbrio
e$ Challenge Winner #11 Im Not Warren Buffett
e$ Challenge Winner #12 CJ. Wentworth
e$ Challenge Winner #13 rodder4hire
e$ Challenge Winner #14 The Jersey Devil
e$ Challenge Winner #15 conbrio
e$ Challenge Winner #16 The Jersey Devil
e$ Challenge Winner #17 emkie
e$ Challenge Winner #18 CJ. Wentworth
e$ Challenge Winner #19 InvestingMac
e$ Challenge Winner #20 emkie
e$ Challenge Winner #21 toys4tots16
e$ Challenge Winner #22 InvestingMac
e$ Challenge Winner #23 CJ. Wentworth
e$ Challenge Winner #24 nelaina
e$ Challenge Winner #25 emkie
e$ Challenge Winner #26 nelaina
e$ Challenge Winner #27 emkie
e$ Challenge Winner #28 MrT
e$ Challenge Winner #29 CJ. Wentworth
e$ Challenge Winner #30 conbrio
e$ Challenge Winner #31 MrT
e$ Challenge Winner #32 InvestingMac
e$ Challenge Winner #33 CJ. Wentworth
e$ Challenge Winner #34 Im Not Warren Buffett
e$ Challenge Winner #35 CJ. Wentworth
e$ Challenge Winner #36 MrT
e$ Challenge Winner #37 toys4tots16
e$ Challenge Winner #38 CJ. Wentworth
e$ Challenge Winner #39 MrT
e$ Challenge Winner #40 rino1
e$ Challenge Winner #41 CJ. Wentworth
e$ Challenge Winner #42 MrT
e$ Challenge Winner #43 SpiffWilkie
e$ Challenge Winner #44 MrT
e$ Challenge Winner #45 Nobody!
e$ Challenge Winner #46 prederer
e$ Challenge Winner #47 conbrio
e$ Challenge Winner #48 MrT
e$ Challenge Winner #49 gnd0221186
e$ Challenge Winner #50 Kiman4
e$ Challenge Winner #51 conbrio
e$ Challenge Winner #52 MrT
e$ Challenge Winner #53 ??? Your Name Here! ???
Remember to spread the winnings around, the previous winner (MrT) is not elegible to win the current challenge. The next puzzle will be posted on or after Friday, time permitting, or after this puzzle is solved, whichever comes later. Total e$ prizes paid to date: e$62,500 + One Barren Desert worth e$1125 + Two Barren Deserts worth a total of e$2970. |
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| conbrio |
| Posted: Mon Feb 19, 2007 3:27 pm Post subject: |
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Investing Sr. Associate
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| Quote: | | What did Benjamin do? |
something he wasn't supposed to. |
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| Dave Rathbun |
| Posted: Mon Feb 19, 2007 3:29 pm Post subject: |
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CFO
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He drank all the wine, right?  |
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| conbrio |
| Posted: Mon Feb 19, 2007 3:45 pm Post subject: |
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Investing Sr. Associate
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lets see if I can get through this.
Benjamin owns three casks of 100 liters, one of 50, and one of 25. The 100 liter casks are filled with Burgundy, Bordeaux, and Algerian wine respectively. The small casks are empty.
To make three qualities of wine, Benjamin mixes the three wines, using the five casks exclusively.
After six operations the three large casks are again full. The first is 1/4 Burgundy, 1/2 Bordeaux, and 1/4 Algerian. The second is 1/4 Bordeaux, 1/4 Algerian, and 1/2 Burgundy. The last is 1/2 Algerian, 1/4 Burgundy, and 1/4 Bordeaux.
What did Benjamin do?
flask 1 = 100l Burgundy
flask 2 = 100l Bordeaux
flask 3 = 100l Algerian
flask 4 = 50l
flask 5 = 25l
step one. pour 50l burgundy into #4
2 - pour 25l bordeaux in #5
3 - pour #5 into #1
4- finish filling #1 with #3 which equals 25 Algerian
so now #1 has .5 Burgundy, .25 Bordeaux, .25 algerian
#4 still has 50l of Burgundy in it.
5- pour 25l from #4 into #5
6- pour 25l from #2 to finish filling #4
7 - pour #5 into #2
8 - pour 25l of #3 into #2 to finish filling #2
so now #2 has .5 Bordeaux, .25 Burgundy, .25 Algerian
#4 now has .25 burgundy and .25 bordeaux
9- pour #4 into #3 and you are finished
so now #3 now has .5 Algerian, .25 Burgundy, .25 Bordeaux
thats my answer. Thank you for your support |
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