tag:blogger.com,1999:blog-64893256056244599872014-10-06T22:51:27.667-04:00Casual Math PuzzlersWhere it isn't rocket science unless otherwise labeled.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.comBlogger55125tag:blogger.com,1999:blog-6489325605624459987.post-30590047112557840232011-11-08T13:50:00.000-05:002011-11-08T13:50:00.562-05:00Rocket Science<span class="Apple-style-span" style="font-family: Times, 'Times New Roman', serif;">Here is a new puzzle. If you think that you know the answer, please post it in the comments section.</span><br /><span class="Apple-style-span" style="font-family: Times, 'Times New Roman', serif;"><br /></span><br /><br /><div style="font: 12.0px Helvetica; margin: 0.0px 0.0px 0.0px 0.0px;"><span style="letter-spacing: 0.0px;"><span class="Apple-style-span" style="font-size: small;"><span class="Apple-style-span" style="font-family: Times, 'Times New Roman', serif;">Joe is buying model rockets from a hobby store. He is buying 6 different types of rockets, tiny, small, medium, large, huge and gargantuan. All quantities of rockets bought are positive whole numbers. He buys 2 more large rockets than medium rockets. The number of small rockets he buys is equivalent to the square root of the number of large rockets he buys. The number of tiny rockets he buys is equivalent to the number of large rockets he buys plus the number of small rockets he buys plus twice the number of medium rockets he buys. The number of huge rockets he buys is equivalent to (number of medium rockets he buys + number of tiny rockets he buys + number of small rockets he buys)</span></span></span><span style="font: 8.0px Helvetica; letter-spacing: 0.0px;"><sup><span class="Apple-style-span" style="font-size: small;"><span class="Apple-style-span" style="font-family: Times, 'Times New Roman', serif;">0.5</span></span></sup></span><span style="letter-spacing: 0.0px;"><span class="Apple-style-span" style="font-size: small;"><span class="Apple-style-span" style="font-family: Times, 'Times New Roman', serif;">. The number of gargantuan rockets he buys equals the number of medium rockets he buys multiplied by the number of huge rockets he buys divided by the number of small rockets he buys minus the number of large rockets he buys. Before tax, tiny rockets cost $9.75 each, small rockets cost $12.50 each, medium rockets cost $15.25 each, large rockets cost $20.00 each, huge rockets $27.20 each and gargantuan rockets cost $36.00 each. There is a sales tax of 8% on each rocket. Joe does not buy more than 300 rockets. How much does he spend on the rockets?</span></span></span></div>Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-9444139380423749992011-10-13T11:11:00.000-04:002011-10-13T15:48:22.159-04:00Tetra Terror<span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;">Here is a new math puzzler. If you think that you know the answer, please post it in the comments section.</span><br /><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><br /></span><br /><div style="font: 12.0px Helvetica; margin: 0.0px 0.0px 0.0px 0.0px;"><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">Let x be a number</span></span></span></div><div style="font: 12.0px Helvetica; margin: 0.0px 0.0px 0.0px 0.0px; min-height: 14.0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;"><span style="letter-spacing: 0px;"></span></span></span></div><div style="font: 13.0px Helvetica; margin: 0.0px 0.0px 0.0px 0.0px;"><span style="font: 12px Helvetica; letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">x=</span></span></span><span style="font: 8px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">3+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">4+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">5+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">6+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">7+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">8+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">9+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">10+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">11+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">12+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">13+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">14+</span></span></span><span style="font: 8.7px Helvetica; letter-spacing: 0px;"><sup><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">2</span></span></sup></span><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">15</span></span></span></div><div style="font: 13.0px Helvetica; margin: 0.0px 0.0px 0.0px 0.0px; min-height: 16.0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;"><span style="letter-spacing: 0px;"></span></span></span></div><div style="font: 13.0px Helvetica; margin: 0.0px 0.0px 0.0px 0.0px;"><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times,'Times New Roman',serif;"><span class="Apple-style-span" style="font-size: small;">What is the value of x?</span></span></span></div>Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-56983350328446714072011-09-30T11:14:00.000-04:002011-09-30T11:17:16.227-04:00Perdido na tradução<span class="Apple-style-span" style="font-family: Times, 'Times New Roman', serif;"><span class="Apple-style-span" style="color: white;">In this post is the new math puzzle. If you think that you know the answer, please post it in the comments section. In honor of today being Agricultural Reform Day in Sao Tome and Principe and International Translation Day, parts of this puzzler are written in Portuguese (These parts are underlined).</span></span><br /><span class="Apple-style-span" style="font-family: Times, 'Times New Roman', serif;"><span class="Apple-style-span" style="color: white;"><br /></span></span><br /><div style="color: #333233; font: 16.0px Arial; margin: 0.0px 0.0px 0.0px 0.0px;"><span style="letter-spacing: 0px;"><span class="Apple-style-span" style="font-family: Times, 'Times New Roman', serif;"><u><span class="Apple-style-span" style="color: white;"><span class="Apple-style-span" style="font-size: small;">Joe e Jane estão jogando um jogo chamado duelo cartão. Neste jogo, dois baralhos completos (sem jokers) são embaralhados juntos.</span></span></u><span class="Apple-style-span" style="color: white;"><span class="Apple-style-span" style="font-size: small;"> </span></span></span></span><span class="Apple-style-span" style="font-family: Times, 'Times New Roman', serif;"><span class="Apple-style-span" style="color: white;"><span class="Apple-style-span" style="font-size: small;">The two players then take turns drawing cards off the top of the deck, one at a time. Whoever gets two of the same card first (suit and rank) wins. If Joe goes first, what is his percent chance of winning?</span></span></span><span class="Apple-style-span" style="font-family: Times, 'Times New Roman', serif;"><span class="Apple-style-span" style="color: white;"><span class="Apple-style-span" style="font-size: small;"> </span></span><u><span class="Apple-style-span" style="color: white;"><span class="Apple-style-span" style="font-size: small;">Por favor, volta a sua resposta com a aproximação de décimo de milésimo de um por cento.</span></span></u></span></div>Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-55264888394459431122011-09-15T13:28:00.000-04:002011-09-15T13:56:00.490-04:00Eight BonesHere is todays Puzzler. If you think that you know the answer, please post it in the comments section. This is the final puzzle in the summer competition. It is worth 2 points.<br /><br />If eight six sided dice are rolled, what is the probability that no two dice will add up to seven? Please give your answer as a percentage and round to the nearest hundredth of a percent.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-14359826092500328322011-06-28T11:45:00.001-04:002011-06-28T11:55:34.981-04:00Gems of SumiaHere is todays puzzle. If you think that you know the answer, please post it in the comments section. This puzzle is worth 4 points in the summer competition.<br /><br />The King of Sumia has 23 gems. Each of these gems has a number, All of the gems are prisms that have bases that are regular polygons. Each gem has its own box. The boxes all have letters on them, A-W. The gem with the greatest volume goes in box A, the one with the next greatest volume goes in box B, and so on. Below is a list of how many sides are on each gems base, how long each side is and how tall each gem is.<br />Gem 1: 3 sides, 13 side length, 22 height<br />Gem 2: 4 sides, 15 side length, 8 height<br />Gem 3: 5 sides, 11 side length, 10 height<br />Gem 4: 6 sides, 7 side length, 15 height<br />Gem 5: 7 sides, 14 side length, 15 height<br />Gem 6: 8 sides, 6 side length, 19 height<br />Gem 7: 9 sides, 8 side length, 15 height<br />Gem 8: 10 sides, 8 side length, 9 height<br />Gem 9: 11 sides, 7 side length, 18 height<br />Gem 10: 12 sides, 6 side length, 15 height<br />Gem 11: 13 sides, 6 side length, 13 height<br />Gem 12: 14 sides, 6 side length, 9 height<br />Gem 13: 15 sides, 9 side length, 11 height<br />Gem 14: 16 sides, 5 side length, 4 height<br />Gem 15: 17 sides, 3 side length, 10 height<br />Gem 16: 18 sides, 6 side length, 6 height<br />Gem 17: 19 sides, 5 side length, 10 height<br />Gem 18: 20 sides, 3 side length, 6 height<br />Gem 19: 21 sides, 4 side length, 3 height<br />Gem 20: 22 sides, 2 side length, 3 height<br />Gem 21: 23 sides, 3 side length, 2 height<br />Gem 22: 24 sides, 3 side length, 6 height<br />Gem 23: 25 sides, 2 side length, 4 height<br />Which gem goes in each box?<br /><br />The answer will be posted on Monday or when somebody posts an answer in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-36500299018588123452011-06-13T13:08:00.002-04:002011-06-28T11:38:51.887-04:00Fun with FactorsHere is todays puzzle. If you think that you know the answer, please post it in the comments section. This puzzle is worth 3 points in the Summer Competition.<br /><br />What is the sum of the non-semiprime numbers on the list below minus the number on the list below that has the most distinct prime factors?<br /><br />36064, 14101, 60303, 99362, 11287, 97462, 73941, 92428, 65799, 53422, 13276, 37968, 45785, 37112, 50485, 51963, 29444, 41506, 16199, 60497, 57592, 91774, 63447, 43749.<br /><br />The answer will be posted when somebody posts an answer.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-44233037947751185792011-06-12T12:00:00.000-04:002011-06-12T12:00:00.432-04:00Der Sequenz Wieder AnswerContained within this post is the answer to the puzzle posted on June 6th. One answer was posted. If the answer is correct, the poster gets 3 points. If not, the points go unclaimed. The answer is after the jump.<a name='more'></a>The numbers in the sequence are the products of 4 prime numbers. The next 3 numbers are 215441, 392863, 765049.<div><br /></div><div>Ken Keech scores 3 more points and brings his score up to 5. Please post any feedback in the comments section.</div>Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com1tag:blogger.com,1999:blog-6489325605624459987.post-6409512110355129942011-06-10T10:34:00.002-04:002011-06-17T08:29:56.080-04:00Package StackageHere is todays puzzle. If you think that you know the answer, please post your guess in the comments section. This puzzle is worth 2 points in the Summer Competition.<br /><br />At the Cremliville Post Office, there are 2 stacks of rectangular packages with square bases. Stack A has 18 packages. The bottom one is 18 inches long and 1 inch high. Each package in stack A is 1 inch less in length and 2 inches more in height than the one below it. Stack B has 22 packages. The bottom one is 22 inches long and 1 inch high. Each package in stack B is 1 inch less in length and 1 inches more in height than the one below it. Which stack has the larger average package size and what percent greater is the larger average package size than the smaller average package size? Please round your answer to the nearest hundredth of a percent.<br /><br />The answer will be posted when an answer is posted in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-88323583661952358912011-06-08T17:15:00.001-04:002011-06-08T17:16:09.991-04:00Omnicheese AnswerContained within this post is the answer to the puzzle posted on June 2nd. One answer was posted. If it is correct, the poster scores 3 points. If not, the points go unclaimed. The answer is after the jump.<br /><a name='more'></a><br /><br />You can buy 6 blocks of Limburger cheese.<br /><br />The points go unclaimed. Please post any feedback in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-3288798035101641332011-06-06T13:15:00.001-04:002011-06-06T13:46:55.307-04:00Der Sequenz WiederHere is todays puzzle. If you think that you know the answer, please post it in the comments section. This puzzle is worth 3 points in the Summer Competition.<br /><br />What are the next 3 terms in the following sequence?<br />210, 1155, 5005, 17017, 46189, 96577 ...<br /><br />The answer will be posted on Friday or when a guess is posted in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com1tag:blogger.com,1999:blog-6489325605624459987.post-62867232977274876332011-06-06T11:00:00.003-04:002011-06-06T11:40:22.853-04:00Triangles, not Hexagons AnswerContained within this post is the answer to the puzzle posted on May 31st. One person posted an answer. If his answer is right, he scores 2 points. If the answer is wrong, the points go unclaimed. The answer is after the jump.<br /><a name='more'></a><br /><br />The answer is 1744545<br /><br />The answer was correct and Ken Keech scores 2 points in the summer competition. Please post any feedback in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com1tag:blogger.com,1999:blog-6489325605624459987.post-69805846918450346402011-06-02T13:20:00.002-04:002011-06-06T14:17:28.699-04:00OmnicheeseHere is todays puzzle. If you think that you know the answer, please post it in the comments section. This puzzle is worth 3 points in the Summer Competition.<br /><br />Omnimart is having another sale. Discounts are avalible on American, Swiss and Limburger cheese, peanuts and chocolate milk. The discount on Limburger cheese is (blocks of Swiss cheese bought*4)%. The discount on Swiss cheese is (blocks of American cheese bought*3)%. The discount on American cheese is (blocks of Limburger cheese bought*3.5)%. The discount on peanuts is (blocks of cheese bought)%. The discount on chocolate milk is (blocks of American cheese bought*blocks of Swiss cheese bought*blocks of Limburger cheese bought*cans of peanuts bought/1000)$. The prices of the products are listed below.<br />Block of American cheese: 3.00$<br />Block of Swiss cheese: 4.00$<br />Block of Limburger Cheese: 5.00$<br />Can of peanuts: 1.50$<br />Gallon of chocolate milk: 3.00$<br />You are on a budget of 80$. If you buy 7 blocks of American cheese, 5 blocks of Swiss cheese, 10 cans of peanuts and 3 gallons of chocolate milk, how many blocks of Limburger cheese can you buy? You can't buy a partial block of Limburger cheese.<br /><br />The answer will be posted on Wednesday.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com2tag:blogger.com,1999:blog-6489325605624459987.post-5488305683200593242011-06-02T12:10:00.002-04:002011-06-02T12:57:03.733-04:00Blokies AnswerContained within this post is the answer to the puzzle posted on May 27th. The answer is after the jump.<br /><a name='more'></a><br /><br />The answer is 7.94<br /><br />Please post any feedback in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-72958075088180170132011-05-31T14:15:00.002-04:002011-05-31T16:35:32.266-04:00Triangles, not HexagonsHere is todays puzzle. If you think that you know the answer please post it in the comments section. This puzzle is worth 2 points in the summer competition.<br /><br />What is the sum of the first 66 triangular numbers that are not hexagonal and not divisible by 3?<br /><br />The answer will be posted Monday.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com1tag:blogger.com,1999:blog-6489325605624459987.post-9536223364812840652011-05-31T13:50:00.000-04:002011-05-31T13:50:49.044-04:00Casual Math Puzzlers Summer CompetitionPrepare for an amazing battle of mathematics! The Casual Math Puzzlers Summer Competition has begun! Throughout the summer, the first person to post the correct answer to a puzzle in the comments section will earn points in the competition. The number of points awarded will be determined by the difficulty of the puzzle. At the end of the competition in early September, the person with the most points will win glory, bragging rights and a spot on the soon to be existent Page of Fame. The first puzzle in the competition will be posted later today. Good luck.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com1tag:blogger.com,1999:blog-6489325605624459987.post-86824181386690435192011-05-31T12:00:00.000-04:002011-05-31T12:00:03.004-04:00Metasphere AnswerContained within this post is the answer to the puzzle posted on May 25th. The answer is after the jump.<br /><a name='more'></a><br /><br />The sphere has a mass of 4306.68 grams.<br /><br />Please post any feedback in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-33656034442957637242011-05-27T12:45:00.000-04:002011-05-27T12:45:18.822-04:00BlokiesHere is todays puzzle. If you think that you know the answer, please post it in the comments section.<br /><br />Blokies are a small, block like creature. Blokies are either orange or green. All blokies have a number on their back. Every hour, a blokie spawn happens. If the number of blokies the same color as a blokie is less than or equal to the number on that blokie, that blokie spawns a new blokie. The number on a new blokie depends on the blokie spawning it. If the spawner is orange and has an odd number on it, the number on the new blokie is three times the number on the spawner minus 1. If the spawner is orange and has an even number on it, the number on the new blokie is two times the number on the spawner minus 1. If the spawner is green and has an odd number on it, the number on the new blokie is three times the number on the spawner plus 1. If the spawner is green and has an even number on it, the number on the new blokie is two times the number on the spawner plus 1. There is an orange blokie and a green blokie, each with the number 1 on them. After 9 spawns, what will be the value of (sum of the numbers on green blokies)/(sum of numbers on orange blokies)? Please give your answer rounded to the nearest humdredth.<br /><br />The answer will be posted on Thursday.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-21041556460207625872011-05-27T10:30:00.001-04:002011-05-27T10:30:02.299-04:00Schrodinger's M&Ms AnswerContained within this post is the answer to the puzzle posted on May 24th. The answer is after the jump.<br /><a name='more'></a><br /><br />The expected distribution is 6 green, 9 yellow and 11 red. That means that 8 M&Ms would not exist.<br /><br />Please post any feedback in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-55944559381214230202011-05-25T12:38:00.001-04:002011-05-25T19:18:28.414-04:00MetasphereHere is todays puzzle. If you think that you know the answer, please post it in the comments section.<br /><br />Alfred has a metasphere. The metasphere is made of a blue material and a red material. At the center of the metasphere is a sphere of blue material that has a diameter of 1mm. That sphere is covered by a 1mm thick layer of red material. Then that sphere is covered by a 2mm thick layer of blue material. The layers keep increasing in thickness, with each layer being the thickness of the past 2 layers combined. There are 12 layers. The layers alternate red and blue materials. The blue material has a density of 1.7 grams/cubic centimeter. The red material has a density of 2.7 grams/cubic centimeter. What is the mass of the sphere? Please give your answer in grams and round to the nearest hundredth.<br /><br />The answer will be posted on Tuesday.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com1tag:blogger.com,1999:blog-6489325605624459987.post-46365334732739272642011-05-25T11:56:00.002-04:002011-05-25T11:56:23.055-04:00Riddle of the Sphenics AnswerContained within this post is the answer to the puzzle posted on May 20th. The answer is after the jump.<br /><a name='more'></a><br /><br />The answer is 17442.95.<br /><br />Please post any feedback in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-69113731751042336742011-05-24T08:20:00.000-04:002011-05-24T08:20:08.663-04:00Schrodinger's M&MsHere is todays puzzle. If you think that you know the answer, please post it in the comments section.<br /><br />There is a closed box with 34 M&Ms inside of it. 15 of the M&Ms are green, 12 are yellow and 7 are red. When the box is opened, the M&Ms either change color or cease to exist. Each green M&M has a 1/2 chance of becoming yellow, a 1/4 chance of becoming red and a 1/4 chance of ceasing to exist. Each yellow M&M has a 3/5 chance of becoming red, a 1/5 chance of becoming green and a 1/5 chance of becoming non existent. Each red M&M has a 13/25 chance of becoming green, a 6/25 chance of becoming yellow and a 6/25 chance of ceasing to exist. What is the expected color distribution of the M&Ms after opening the box?<br /><br />The answer will be posted on Friday.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-20442641568427884482011-05-23T12:40:00.000-04:002011-05-23T12:40:00.388-04:00Dungeon Doors AnswerContained within this post is the answer to the puzzle posted on May 17th. The answer is after the jump.<br /><a name='more'></a><br /><br />If Guido chooses door number 1, he will be consumed by the hungry dragon. If he chooses door number 2, he still will be consumed by the hungry dragon. If he chooses door number 3, he goes through the passage and comes out in the middle of an Iowa cornfield. Therefore, he should choose door number 3.<br /><br />Please post any feedback in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-1127838026884885782011-05-20T12:50:00.003-04:002011-05-23T14:04:05.239-04:00Riddle of the SphenicsHappy World Metrology Day! Today is a celebration of the signing of the Metre Convention in 1875. The Metre Convention established three international organizations to oversee the keeping of metric standards. It also has absolutely nothing to do with todays puzzle. If you think that you know the answer, please post it in the comments section.<br /><br />A sphenic number is a positive integer that is the product of three distinct prime numbers. A pronic number is a number that is the product of 2 consecutive non-negative integers. What is the product of the average value of the first 20 sphenic numbers and the average value of the first 20 pronic numbers?<br /><br />The answer will be posted on Wednesday.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com1tag:blogger.com,1999:blog-6489325605624459987.post-69003329494857603762011-05-20T08:45:00.000-04:002011-05-20T08:45:00.222-04:00The Return of the Poker Chips AnswerContained within this post is the answer to the puzzle posted on May 16th. The answer is after the jump.<br /><a name='more'></a><br /><br />With a probability of 28.75%, the most likely answer is $25 worth of poker chips.<br /><br />Please post any feedback in the comments section.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com0tag:blogger.com,1999:blog-6489325605624459987.post-15056951418984966772011-05-17T12:55:00.001-04:002011-05-17T13:37:45.966-04:00Dungeon DoorsHere is todays puzzle. If you think that you know the answer, please post it in the comments section.<br /><br />Guido has been thrown into a dungeon. There are 3 doors in the dungeon. The first one is 4 feet wide, 3 feet long, 3 inches thick and has a density of 8746 kg/cubic meter. The second door is 41 inches wide, 41 inches long, 3 inches thick and has a density of 8800 kg/cubic meter. The third door is 5 feet wide, 5 feet long, 1.5 inches thick and has a density of 8470 kg/cubic meter. All three doors have passages behind them. The passage behind the heaviest door leads to freedom. The other two lead to a hungry dragon. Guido does not want to become the dragons lunch. Which door should he choose.<br /><br />The answer will be posted on monday.Caleb N.http://www.blogger.com/profile/06412691014953572832noreply@blogger.com1