Pickett
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Posts posted by Pickett
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5/34 + 7/68 + 9/12 = 1.0
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Probably not the optimal for all of them, just the first pass numbers I got...
1: 4
2: 5
3: 6
4: 7
5: 6
6: 7
7: 8
8: 7
9: 8
10: 9
11: 8
12: 9
13: 10
14: 8
15: 9 -
I found 2 solutions...Basically I got it down to this:
Monday 6-8: Judo - Linda
Monday 8-10: Volleyball - Jane
Tuesday 6-8: Balance - Linda
Tuesday 8-10: Squash - Pete
Wednesday 6-8: Ballet OR Tumlbling - Jane
Wednesday 8-10: Tumbling OR Ballet - Bob
Thursday 6-8: Karate - Bob
Thursday 8-10: Floor - Rick
Friday 6-8: Handball - Pete
Friday 8-10: Table Tennis - Rick
From what I can tell, both solutions work to satisfy all of the clues/requirements...the ONLY part I'm a little confused about that would completely screw up my approach is clue 6:
6. Pete has one course the same night as the balance-beam class is held and his other course later the same evening as one of Rick's courses.
Does that mean "later in the same evening" which would then imply it would be during the 8-10 slot...or does it mean "later in the week the same evening"? I took it to mean the latter...which is why I have Pete from 6-8 on Friday and Rick from 8-10...if you meant the former, then my solution does not work...-
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Alright, I realized my mistake...here ya go:
a = 0.39
b = 5.2
c = 9
Gives you a 3 digit number of 100, but a min value of 6.854009595613435
Nice puzzle! -
...assuming a doesn't equal 0 (since that would mean it isn't truly a three digit number) I'd be curious to see a smaller value of M / (a + b + c)
I'm going to stick by 199/19 = 10.473684210... -
a = 1, b = 9, c = 9 for a minimum value of 10.473684210526315
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...on how the cash register deals with rounding...if it follows the "standard" round-half-up method, then I see 39 solutions:
1.06, 2.23, 2.41
1.06, 2.24, 2.40
1.06, 2.25, 2.39
1.06, 2.26, 2.38
1.06, 2.27, 2.37
1.06, 2.28, 2.36
1.06, 2.29, 2.35
1.06, 2.30, 2.34
1.07, 2.13, 2.50
1.07, 2.14, 2.49
1.08, 2.06, 2.56
1.08, 2.07, 2.55
1.09, 2.01, 2.60
1.09, 2.02, 2.59
1.10, 1.97, 2.63
1.11, 1.93, 2.66
1.12, 1.90, 2.68
1.13, 1.86, 2.71
1.14, 1.83, 2.73
1.15, 1.81, 2.74
1.16, 1.78, 2.76
1.17, 1.76, 2.77
1.18, 1.73, 2.79
1.19, 1.71, 2.80
1.20, 1.69, 2.81
1.21, 1.67, 2.82
1.22, 1.65, 2.83
1.24, 1.62, 2.84
1.25, 1.60, 2.85
1.27, 1.57, 2.86
1.29, 1.54, 2.87
1.31, 1.51, 2.88
1.32, 1.50, 2.88
1.35, 1.46, 2.89
1.36, 1.45, 2.89
1.37, 1.44, 2.89
1.38, 1.43, 2.89
1.39, 1.42, 2.89
1.40, 1.41, 2.89-
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150 2/3 yards + 45 yards 3 inches = 195 3/4 yards exactly...which means the plot of land is a straight line...not much land at all...I'd be pretty upset as well.
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The letter "r"
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But, how can it be a tetrahedron? The cities are just 5 miles away. Any 4 points on the surface of the earth which are also the vertices of a tetrahedron must be at a distance of 1.63 times the radius of the earth (which is about 6500 miles!!!).
...I'd say he could have visited an asteroid or some other EXTREMELY small body in space to accommodate the shorter distances between towns...The OP doesn't say he was on Earth while doing this trip...
Plus, it truly would be a "miraculous voyage": travel to a small asteroid, land on it safely, find that there are indeed 4 "towns" set up by someone, visit them all, and return back to Earth safely. And never in my life, at least, would I ever expect to see such a thing happen...
So I'll go with that as my answer.
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Ah...see, I read #4 to mean "is six letters long" not "contains six DISTINCT letters". Because, really, even if a letter repeats itself, it's still a letter...so only 6-letter words can "contain 6 letters".
HEATHEN technically contains 7 letters...it just it has 2 Es...
Either way...Good catch, ShadowAngel7...nice interpretation.
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21,8,10,24
You obviously know the answer, but your first letter is wrong...should be:
2,8,10,24
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TWENTY NINE
Differently
That that is, is. That that is not, is not. Is not that it? It is.
Question: are you allowed to skip letters as long as you don't rearrange them? Because if not, I can come up with a word that has 6 words in it, but not 8:
herein - he, her, here, ere, rein, in
Unless you want to count "en" as a word, then I found 7:
hasten - ha, has, hast, haste, ten, as, en
If you are allowed to skip letters, then there are a number of words that work...including hasten which actually has 9 that I found
hasten - ha, has, hast, haste, hen, ate, hate, ten, as
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W A P I T I
A C U M E N
P U P P E T
I M P U T E
T E E T E R
I N T E R N
The only one I wasn't really aware of was wapiti...but after getting the others and a simple google search for "apiti deer", it came up...who knew?? -
view #29...#29 of what? I guess that's the puzzle?
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but my first pass through to find both fakes, assuming that the balance scale simply tells you "heavier" or "lighter" and that you can't measure HOW MUCH heavier or lighter is 5 weighings...I have a couple different approaches using 5 weighings, but will look for fewer.
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This is actually a duplicate puzzle as the one I posted a long while ago on these forums:
The only difference is the perimeter would obviously be twice the "SUM" in the problem I posted...but just divide by 2, and it's the same logic to figure out...I love this puzzle...
4 x 13
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Quick question: when you say "equal (or better than equal) percentage"...from whose perspective are we talking?
If we are saying that each PERSON believes they have AT LEAST equal percentage of the worth, then we first look at what each person believed the old man was worth:
ALBERT: $14,001,670...which means "equal" to him would be everyone getting $3,500,417.50...ERIC: $14,601,730...which means "equal" to him would be everyone getting $3,650,432.50THERESA: $13,501,335...which means "equal" to her would be everyone getting $3,375,333.75SONYA: $16,002,050...which means "equal" to her would be everyone getting $4,000,512.50If we use those, we can simply give Sonya the house and all of the belongings...and then divide the remaining $12,000,000 in cash evenly between the rest of the siblings.
To Sonya, she got more than an equal share ($4,002,050) and everyone else got $4,000,000...so she's happy
To Theresa, she and everyone else but Sonya got more than an equal share ($4,000,000) while Sonya only got $1,501,335...so she's happy
To Eric, he and everyone else but Sonya got more than an equal share ($4,000,000) while Sonya only got $2,601,730...so he's happy
To Albert, he and everyone else but Sonya got more than an equal share ($4,000,000) while Sonya only got $2,001,670...so he's happy
Doing this gives everyone the perception that they had a more than equal share of the total worth...
However, from the lawyer's perspective, he would see Sonya getting much less than equal, simply because the value of the house most likely is closer to the average ($2,275,000)...which means with this approach, Sonya would have much less than an equal share...
That's why I'm wondering from whose perspective we are defining "equal".
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But I figured AIK TIA IA IATL is " I know that I am I am I am"
The Luckiest:
I don't get many things right the first time
In fact, I am told that a lot
Now I know all the wrong turns
The stumbles and falls brought me here
And where was I before the day
That I first saw your lovely face?
Now I see it every day
And I know
That I am
I am
I am
The luckiest
Next door there's an old man who lived to his nineties
and one day passed away in his sleep,
and his wife, she stayed for a couple of days, and passed away
I'm sorry I know that's a strange way to tell you that I know we belong,
That I know
That I am,
I am,
I am,
the luckiest
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Just validated my above answer with a simple program...in case you're curious, here's the source:
public class SuffleDouble { public static void main(String[] args) { for (long i = 1; i < 1000000; i++) { permutation("", i + "", i); } } private static void permutation(String prefix, String str, long origVal) { int n = str.length(); if (n == 0) { long newVal = Long.parseLong(prefix); if (origVal * 2 == newVal) { System.out.println(origVal + " * 2 = " + prefix); System.exit(0); } } else { for (int i = 0; i < n; i++) { permutation(prefix + str.charAt(i), str.substring(0, i) + str.substring(i+1, n), origVal); } } } } -
125874...can be shuffled to be 251748
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many gears spinning 'round,
numbers spill too unbound.
sapping energy of a spring,
adding adding everything.
whether weather is need to know,
or complex equations bust from flow.
memory, shift, register, digest;
come forth solution, progamming guest!
A CPU or motherboard...
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https://maps.google.com/maps?q=58.76993413296066943466666666666667,5.62653852214286336&hl=en&ll=58.769853,5.626131&spn=0.002823,0.007693&sll=58.766667,5.616667&sspn=0.022586,0.061541&t=h&z=18&layer=c&cbll=58.769853,5.626131&panoid=8JxFaUdKATqfmIAZf_e55A&cbp=12,68.41,,0,0
There's your location. It's a house in Norway. I took the molecular weights of each compound and multiplied them together to get these coordinates:
N58 46.1960479
E5 37.5923113
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Think about it. He went 1 mile south, 1 mile west, and 1 mile north. Where on earth is it possible to do this? The north pole, of course!. Therefore the bear was a polar bear and was white.
He didn't have to be at the North pole...there are infinite places he could have started (specifically any point 1+1/2pi miles from the south pole).
Of course, since there are no BEARS in that area, I guess the North pole is the only valid place that it could be since he in fact was being chased by a bear...
This question has can be seen here...
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Two Rectangles
in New Logic/Math Puzzles
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