Home » General Chat » Circular File » Puzzle thread Nov. 3
 Puzzle thread Nov. 3 |
Mon, 03 November 2003 22:01  |
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 Ron |
 | Commander
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Messages: 1231
Registered: October 2002
Location: Collegedale, TN | |
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Here are this week's puzzles. These should be a bit harder than last week's, and perhaps more difficult to solve using computer programs 
I will accept PM's for 24 hours after this posted waiting for people to send me their answers. At the end of that time, I will randomly pick a Puzzle Master from the people who have sent in all the correct answers and give that person the cool 'Puzzle Master of the week' avatar.
Thread locked until answer submission time-limit has expired.
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What is the smallest number that contains precisely 18 proper factors? (A proper factor is a factor other than 1 or the number itself)
Example: there are 2 proper factors for the number 10: 2 and 5.
http://www.intermath-uga.gatech.edu/dictnary/descript.asp?te rmID=417
Sid Jones was driving in his recently purchased sports car when he noticed that the odometer read precisely 12345.6 miles. What is truly amazing that his trip odometer read precisely 123.4 miles. What is the smallest distance that Sid can drive so that the two odometers have all ten digits (0-9) between them, but share no digits in common?
The sum of the first N integers equals exactly 2000. Wait a minute, that's impossible--one of those integers must have been counted twice!
That is the question. If in fact one and only one number was double counted, which number must that have been?
In the following 16 square grid, starting in a corner square, move along a spiral route and find the rule for the numbering to replace the question mark.
32 28 34 30
26 42 38 36
30 36 ? 32
24 40 34 38
Four brothers go to a dance. As they leave, each one of the brothers accidentally takes a hat belonging to a different brother and a coat belonging to another, different, brother. Maurice takes the coat belonging to the brother whose hat got taken by Phil, while Phil's coat got taken by the brother who took Maurice's hat. Serge took John's hat. Whose coats and hats were taken by Maurice and Phil?
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[Updated on: Tue, 04 November 2003 17:40]
Ron Miller
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| Re: Puzzle thread Nov. 3 |
Tue, 04 November 2003 22:50  |
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| Ron |
| Commander
Forum Administrator
Stars! AutoHost Administrator |
Messages: 1231
Registered: October 2002
Location: Collegedale, TN | |
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Out of the 9 people who sent in answers, only 4 had all answers correct:
BlueTurbit
Ashlyn
Mazda
Hatterson
I was a bit apprehensive when I ran the random number program, afraid that if it chose Ashlyn again, I'd be in trouble and accused of favoring one of the few (the only?) female user on the forum. 
Fortunetly, the program picked Hatterson instead. He has been awarded the Weekly Puzzle Master avatar.
The answers to the puzzles are:
1.) 240 has 18 factors {2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120}
2.) He drove 861.1 miles his odometer was then 13206.7 and the trip odometer was 984.5
3.) 47 was double-counted, the first 62 were counted
4.) 44....pattern is plus 6 subtract 4 starting bottom left
5.) Phil took: John's coat and Serge's hat Maurice took: Serge's coat and Phil's hat
Note: In future weekly puzzles, I will NOT inform users who have wrong answers. They will just have to wait until I post the answers here. There were several of the 5 other people who sent in corrected answers after I told them which puzzles they got wrong, but I could not count them.
Thread unlocked for comments.
Ron Miller
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| Re: Puzzle thread Nov. 3 |
Tue, 04 November 2003 23:34 |
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| Hatterson |
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Messages: 121
Registered: May 2003
Location: NY, USA | 
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[done in that ever so annoying speech way...]
First I want to thank everyone who has helped me through this....I couldn't have done it without you.
* Holds back some tears
I'm just never going to forget this...
* Breaks off into tears and other incredibly over paid people who do nothing come to support him.
[/stupid part]
Anyway, now that the comedy (or at least comedy to me) is over I will acutally contribute something worthwihile. 
Okay, despite what Ron said about these being harder than last week's I actually found them easier for some reason.
I guess the style of question suited me better, one was a pattern[#4] (which I really like), one was a logic type problem[#5] (which I have always been able to figure out) and another one could be figured out with a formula[#3]. That left me with two problems, and I got one the first one [#1] by lucky guess and check For the second problem I actually got some help from my roommate. I was reading the problem out loud and he asked me to repeat it. I did and then a couple minutes later he said the numbers. Apparently he had quickly banged out a program that spit them out. Anyway, I couldn't turn down the answers and...here we are.
I would be interested in hearing the approaches that others took.
P.S. Congrats to BlueTurbit, Ashlyn, and Mazda for also getting the correct answers
"Don't be so humble - you are not that great. " - Golda Meir (1898-1978) to a visiting diplomatReport message to a moderator
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| Re: Puzzle thread Nov. 3 |
Wed, 05 November 2003 17:46 |
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| EDog |
 | Lt. Junior Grade |
Messages: 417
Registered: November 2002
Location: Denver, Colorado, USA | |
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| mazda wrote on Wed, 05 November 2003 15:35 |
| Ashlyn wrote on Wed, 05 November 2003 21:45 |
With no digits in common, the answer had to be smaller than 876.6 miles
(otherwise you end up with a total of 11 digits).
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Depends on how you interpret the question.
The trip and odometer have to not contain the same digits, but one or the other could contain the same digit multiple times.
Well I think so anyway.
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As a completely unrelated-but-interesting side note, I have never encountered a vehicle that had a trip odometer of more than 4 digits, meaning after 999.9 it would roll over again to 000.0, so the upper limit of 876.6 is not necessarily valid (unless this is some sort of weird 200-mile-per-gallon car with an 8-gallon tank). Of course, with the answer coming in below 876.6, it's not important anyway.
I couldn't figger this one out, but then again I'm one of the brute force calculator guys. What was the answer to the first one? I managed to get the last three but not number one or two.
EDog
http://ianthealy.com
Born, grew up, became an adventurer
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| Re: Puzzle thread Nov. 3 |
Thu, 06 November 2003 11:01 |
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| LEit |
 | Lt. Commander |
Messages: 879
Registered: April 2003
Location: CT | |
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| Ron wrote on Tue, 04 November 2003 22:50 |
The answers to the puzzles are:
1.) 240 has 18 factors {2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120}
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