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| Acmlm's Board - I2 Archive - Brain Teasers - Strange Math Riddles |
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neotransotaku Baby Mario 戻れたら、 誰も気が付く Level: 87 Posts: 1084/4016 EXP: 6220548 For next: 172226 Since: 03-15-04 From: Outside of Time/Space Since last post: 11 hours Last activity: 1 hour |
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| I just put the values into a matrix and solved it...it wasn't that bad to get row-reduced echelon form... | |||
JJ64 Boo Level: 45 Posts: 835/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| I ended up with NSNick's answer, so the point is his. Scores 1st. Grey-20 points 2nd. Heian-794-16 points 3rd. NSNick-10 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Question 64 (1 point)- Find all factors of this number: 2446880 (edited by JJ64 on 07-26-04 11:04 AM) (edited by JJ64 on 07-27-04 11:17 AM) |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82  Posts: 275/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| There aren't many, a multiple is a number that can be divided by the given number, and the only one of that which yeilds a whole number is zero (0/2446880 = 0). Even one doesn't. So for answers, I got zero. Factors, however, are another story. You can divide this thing by one, two, four, five, and eight without getting a single remainder. But that's not multiples, so I'm just covering bases... |
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Heian-794 Red Super Koopa Level: 44 Posts: 330/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| Surely JJ meant to ask for factors! But with another interpretation, he could be asking for the number multiplied by all single digits:
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 280/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| Well while we're going for random interpretations, he might be asking what happens when we multiply the single digits of the number together: 2x4 = 8 2x6=12 2x8=16 2x0=0 4x6=24 4x8=32 4x0=0 6x8=48 6x0=0 8x0=0 That's some odd logic there. There's also multiplying all the single digits of the number together, to get 2x4x4x6x8x8x0 = 0! Hehe. |
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JJ64 Boo Level: 45 Posts: 840/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| I should really pay more attention to that, I meant factors. I'll fix it now, then. |
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Heian-794 Red Super Koopa Level: 44 Posts: 335/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| Well, the prime factorization of this 2466880 is 25 x 5 x 41 x 373. Which would mean that the following numbers would be factors (hope I didn't miss any): 2 (2 x 1223440) 4 (4 x 611720) 5 (5 x 489376) 8 (8 x 305860) 10 (10 x 244688) 16 (16 x 152930) 20 (20 x 122344) 32 (32 x 76465) 40 (40 x 61172) 41 (41 x 59680) 80 (80 x 30586) 82 (82 x 29840) 160 (160 x 15293) 164 (164 x 14920) 205 (205 x 11936) 328 (328 x 7460) 373 (373 x 6560) 410 (410 x 5968) 656 (656 x 3730) 746 (746 x 3280) 820 (820 x 2984) 1312 (1312 x 1865) 1492 (1492 x 1640) And then all the numbers on the right sides of those multiplication signs above. |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 285/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| Yes but then you're just throwing more primes into it and I just stayed awake for 25 hours what the hell am I doing trying to 1-up Heian? Meh, we haven't even thought about learning Prime Factorization in my classes yet. |
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JJ64 Boo Level: 45 Posts: 848/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Another point for Heian-794... Scores 1st. Grey-20 points 2nd. Heian-794-17 points 3rd. NSNick-10 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Another factorization. Question 65 (1 point)- Find all factors of this number: 1234567890 |
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NSNick Laidback Admin Level: 85  Posts: 768/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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| I beleive they are: 2 and 617283945 3 and 411522630 5 and 246913578 6 and 205761315 9 and 137174210 10 and 123456789 15 and 82304526 18 and 68587105 30 and 41152263 45 and 27434842 90 and 13717421 |
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JJ64 Boo Level: 45 Posts: 849/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| NSNick gets the point. Scores 1st. Grey-20 points 2nd. Heian-794-17 points 3rd. NSNick-11 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Composite solids! Question 66 (1 point)- Find the area of a hemisphere perched on a cylinder, and another hemisphere attached to the other side, if the height for the cylinder is twice the number of solids in the composite solid, and the radius is twice the height of the cylinder. |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 289/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| Hieght = 6, radius = 12, This we just take the area of a sphere with radius 12 and add it to the height of a cylinder with radius 12 and height 6. 4/3(pi)x12^3 = 7238.229, + (pix36x12) = 8595.3975 units^3. |
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JJ64 Boo Level: 45 Posts: 853/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Grey gets the point... Scores 1st. Grey-21 points 2nd. Heian-794-17 points 3rd. NSNick-11 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Question 67 (1 point)- It is sunny, if and only if the sun is out. Find the initial conditional statement, converse, inverse, and contrapositive. |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 298/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| Yay, another conditional statement. IFF makes these answers kinda funky, but they're still along the same lines. ICS: It is sunny IFF the sun is out. Converse: The sun is out if and only if it is sunny. Inverse: It is not sunny if and only if the sun is not out. Contrapositive: The sun is not out if and only if it is not sunny. I think that's how it should work. If it doesn't, then I've placed the IFFs wrong. |
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JJ64 Boo Level: 45 Posts: 857/919 EXP: 640956 For next: 19208 Since: 05-22-04 From: Green Bay, WI Since last post: 441 days Last activity: 269 days |
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| Grey with another point... Scores 1st. Grey-22 points 2nd. Heian-794-17 points 3rd. NSNick-11 points 4th. Kirby all the way-8 points 5th. wolfman2000-5 points 6th. Emptyeye-1 point 6th. RavenX-1 point 6th. Slash Dafter-1 point 6th. Xkeeper-1 point 11th. neotransotaku-0 points 11th. Gb boy-0 points 11th. Teddylot-0 points Question 68 (1 point)- Solve the system of equations: |3x+43y|=162 x=|7y| |
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Heian-794 Red Super Koopa Level: 44 Posts: 339/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| You guys are piling up the points while I'm asleep! No matter, my rally continues with the following: If x=|7y|, then the first equation is |21y+43y|=162 (not |-21y+43y|=162 since 3x must be positive) Thus |64y|=162 is valid, meaning that: y can equal 81/32, -81/32. x has to be positive and can therefore equal only 567/32 and not its negative. And NSNick, aren't you missing a whole bunch of 2- and 3-digit factors in that number? (edited by Heian-794 on 07-28-04 11:13 AM) |
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Dylan Devil Trumpets and Angel Trombones ~ Level: 54  Posts: 482/1407 EXP: 1181697 For next: 52173 Since: 06-19-04 From: Ottawa, Canada. Since last post: 1 day Last activity: 6 hours |
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Originally posted by Heian-794 Whenever I get back here, there are around 3 more questions posed and answered... you guys must be doing this in the morning, I'm not up 'till the afternoon! |
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Grey the Stampede Don't mess with powers you don't understand. And yes. That means donuts. Level: 82 Posts: 315/3770 EXP: 5192909 For next: 16318 Since: 06-17-04 From: Kingston, RI, USA, Earth Since last post: 2 hours Last activity: 1 hour |
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| My secret is to wake up early and go to bed late, then nap during the day while JJ's out having the life that none of us have. | |||
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Dylan Devil Trumpets and Angel Trombones ~ Level: 54 Posts: 487/1407 EXP: 1181697 For next: 52173 Since: 06-19-04 From: Ottawa, Canada. Since last post: 1 day Last activity: 6 hours |
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| I can't nap, nor can I wake up early. JJ is 1 tz behind us, so he is up uber early, feeding us math problems. Yeah, we're nerds. ^ not! (edited by Gb boy on 07-28-04 03:44 PM) |
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Heian-794 Red Super Koopa Level: 44 Posts: 343/896 EXP: 611014 For next: 271 Since: 06-01-04 From: Kyoto, Japan Since last post: 21 days Last activity: 10 days |
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| I have a late-night job, so I'm usually awake from about 2 PM to 6 AM Japanese time, which is 13 hours ahead of the East Coast in the summer -- I guess that would be 1 AM to 5 PM ET. This works against me because it seems like JJ posts his puff questions while I sleep, and then the tough ones after he's been up for a few hours to think about it! |
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