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Math Challenges... solve and win e$1000


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nelaina
PostPosted: Mon Feb 20, 2006 12:21 pm Post subject: Reply with quote

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Dave Rathbun wrote:
Benjamin wrote:
Oooooh, cooooool! Cool

How about this for a modification... instead of first place getting the richest portfolio, how about first place gets first pick of A, B, or C without knowing the actual value? That way 3rd place might actually get the best stock? I like it. I think I'll do it that way instead. Twisted Evil

I'll include the "official" new rules in the next (and all subsequent) challenge puzzles.


first of all great idea dave on this whole drawing, i love it!

second, i like the modification.
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CJ. Wentworth
PostPosted: Mon Feb 20, 2006 3:33 pm Post subject: Reply with quote

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vetelmo wrote:
I say ten but my head hurts, lol.


I say you edited that from Six to Ten Twisted Evil
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CJ. Wentworth
PostPosted: Mon Feb 20, 2006 3:35 pm Post subject: Reply with quote

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and how cool. I hope I'm online for more of these Smile. And yay final decisions lol
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Dave Rathbun
PostPosted: Mon Feb 20, 2006 3:48 pm Post subject: Reply with quote

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CJ. Wentworth wrote:
I hope I'm online for more of these Smile

I try to mix it up, posting the next challenge on different days, and different times of the day. I will try to post a rough guess as to when the next puzzle is going to be posted on the day I announce the winner of the previous one. So this time I think I said sometime on (or after) Wednesday morning.

I'm working on getting the 3 portfolios set up now. They'll all be S&P 500 stocks, so you could end up with a dog like JDSU or a high-flyer like AMD. It's all in the darts. Laughing
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Dave Rathbun
PostPosted: Wed Feb 22, 2006 6:52 pm Post subject: Reply with quote

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e$ Challenge #6
I bought a book of math and logic puzzles a while back to use as challenges for another board I run. There it was for pride and fun only. Here it will be for e$500 per winning answer... first winning answer to each puzzle. Some of the puzzles are going to be actual math problems, others require logical thinking instead. I'm going to post no more than two challenges per week, and will try to post them at different times of the day in order to give folks that sign on at various different times a shot at winning the challenge. The rules:
  • The answer in the book is final. Blame the publisher, not me, if you don't agree Smile
  • The first person to post the correct answer wins. Posting only, no PM's please.
  • 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 won't post any more than one puzzle per day. That will let people argue over the answers. Razz

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$2000 as of the end of February, 2006. Each will be invested as completely as possible into one stock from the S&P 500 chosen at random. The winners will have no idea which portfolio is worth the most. The first person drawn will get their pick of all 3 portfolios, the second drawn picks from between the two remaining, and the third drawn gets stuck (or lucky) with the last one available. The holding will be sold at current market price as of the end of the contest and the e$ 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. Cool

Thanks for playing

Ready?

Here's your 6th e$ Challenge Puzzle!

This puzzle is similar to one posted earlier, except it uses 3's instead of 2's. Add arithmetical symbols between the 3's to make every equation true. Parenthesis are allowed.
3 3 3 3 = 3
3 3 3 3 = 4
3 3 3 3 = 5
3 3 3 3 = 6
3 3 3 3 = 7
3 3 3 3 = 8
3 3 3 3 = 9
3 3 3 3 = 10

As with the 2's challenge there may be more than one legitimate answer to this puzzle. As long as the math works, your answers do not need to match what's in the book.


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 ???
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Im Not Warren Buffett
PostPosted: Wed Feb 22, 2006 7:04 pm Post subject: Reply with quote

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3 3 3 3 = 3 (3x3)-(3+3) = (9)-(6)=3
3 3 3 3 = 4 ((3x3)+3)/3 = (9+3)/3 = (12/3)=4
3 3 3 3 = 5 ((3+3)/3)+3 = (6/3)+3 = 2+3=5
3 3 3 3 = 6 (3+3+3)-3 = (9)-(3)=6
3 3 3 3 = 7 (3+3)+(3/3) = (6)+(1)=7
3 3 3 3 = 8 (3x3)-(3/3) = (9)-(1)=8
3 3 3 3 = 9 (3x3)x(3/3) = (9)x(1)=9
3 3 3 3 = 10 (3x3)+(3/3) = (9)+(1)=10
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CJ. Wentworth
PostPosted: Wed Feb 22, 2006 9:03 pm Post subject: Reply with quote

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wow. fast lol
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rykarde
PostPosted: Thu Feb 23, 2006 8:12 am Post subject: Reply with quote

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Wow that was really quick. I could work on some of these for days and days and still not get the correct answer.
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Dave Rathbun
PostPosted: Thu Feb 23, 2006 8:38 am Post subject: Reply with quote

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Yes, it was quick. Smile And by virtue of showing all work, obviously correct. Smile

That's the last puzzle for this week (first was on Sunday, second Wednesday) so look for the next puzzle to be posted next week.

e$500 will be sent to INWB as soon as I complete this post. Cool
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Dave Rathbun
PostPosted: Mon Feb 27, 2006 3:28 am Post subject: Reply with quote

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e$ Challenge #7
I bought a book of math and logic puzzles a while back to use as challenges for another board I run. There it was for pride and fun only. Here it will be for e$500 per winning answer... first winning answer to each puzzle. Some of the puzzles are going to be actual math problems, others require logical thinking instead. I'm going to post no more than two challenges per week, and will try to post them at different times of the day in order to give folks that sign on at various different times a shot at winning the challenge. The rules:
  • The answer in the book is final. Blame the publisher, not me, if you don't agree Smile
  • The first person to post the correct answer wins. Posting only, no PM's please.
  • 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 won't post any more than one puzzle per day. That will let people argue over the answers. Razz

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$2000 as of the end of February, 2006. Each will be invested as completely as possible into one stock from the S&P 500 chosen at random. The winners will have no idea which portfolio is worth the most. The first person drawn will get their pick of all 3 portfolios, the second drawn picks from between the two remaining, and the third drawn gets stuck (or lucky) with the last one available. The holding will be sold at current market price as of the end of the contest and the e$ 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. Cool

Thanks for playing

Ready?

Here's your 7th e$ Challenge Puzzle!

A clock strikes every hour... once at 1:00, twice at 2:00, and so on.

The clock takes 6 seconds to strike 5:00 and 12 seconds to strike 9:00. The time needed to strike 1:00 is neglibible.

How long does the clock need to strike for all its striking in 24 hours?


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 Buffet
e$ Challenge Winner #7 ???
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CJ. Wentworth
PostPosted: Mon Feb 27, 2006 6:32 am Post subject: Reply with quote

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If we're only counting the total time taken to chime then the answer should be 198s. If it's one of those weirdass questions that are only made to look difficult but depends mainly on how it's read, then the answer would be 24hrs.



Re-reading the question though I have to say that it's asking for the total time taken for chiming, so it should be noted that the time taken striking would be the same at 9am as it would at 9pm. That being said allow me to answer =p



Take a as the time taken to strike and b as the time taken between the strikes.

t1 = a (striking at 1:00)
tx = t1 + (x-1)b. As t1 = a
tx = a + (x-1)b.
The equation where x is the time of strike and t is the time taken to strike

Therefor at 5:00
t5 = a + (5-1)b
6 = a + 4b
and at 9:00
t9 = a + (9-1)b
12 = a + 8b

Solving for a and b
It's stated that the time taken to strike at 1:00 is negligable. Therefor at t1 = a, a = 0.

6 = 0 + 4b and 12 = 0 + 8b
b = 6/4 and b= 12/8
b = 1.5

Substitute back into the equation of tx = a + (x-1)b
tx = 0 + (x-1)1.5
tx = 1.5(x-1)


As I stated earlier in 24 hours, the clock will strike 2x the time it takes to strike for 12hrs.


Let c be the sum of the time taken to strike in 12hours

cn = t1+t2...+tn
cn = ((t1+tx)x)/2

t12 = 1.5(12-1)
t12 = 1.5(11)
t12 = 16.5

c12 = ((0+16.5)12)/2
c12 = (16.5x12)/2
c12 = 99

Therefor the time taken to chime in 12 hours is 99seconds
Therefor in 24 hours the time taken to chime is 99x2 = 198s
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CJ. Wentworth
PostPosted: Mon Feb 27, 2006 6:39 am Post subject: Reply with quote

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I'm not too sure if that's the best way to answer that question, nor the quickest lol. It's 2:39am here so forgive me! Wink
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Dave Rathbun
PostPosted: Mon Feb 27, 2006 7:32 am Post subject: Reply with quote

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CJ. Wentworth wrote:
If it's one of those weirdass questions that are only made to look difficult but depends mainly on how it's read, then the answer would be 24hrs.

It is not one of "those" questions. Very Happy

Good job on the math. I will let other folks experiment before I confirm / deny that it is the correct answer. Remember that the "correct" answer is that defined in the book. Wink
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rewood
PostPosted: Mon Feb 27, 2006 10:18 am Post subject: Reply with quote

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I concure with 198
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toys4tots16
PostPosted: Tue Feb 28, 2006 7:11 am Post subject: Reply with quote

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it is 198 but there is a much, much, easier way of doing it. Just solve that 1hour that passes/ second= 1.5
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