New Logic/Math Puzzles Latest Questionshttp://brainden.com/forum/forum/7-new-logicmath-puzzles/New Logic/Math Puzzles Latest QuestionsenBraindencom-NewPuzzleshttps://feedburner.google.comSubscribe with My Yahoo!Subscribe with NewsGatorSubscribe with My AOLSubscribe with BloglinesSubscribe with NetvibesSubscribe with GoogleSubscribe with PageflakesTiling a hexagonhttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/PRT4-pwP7gA/<p>
<span style="font-family:Verdana,Geneva,sans-serif;">A regular hexagon is divided into 2</span><span style="font-family:Georgia,serif;"><em><strong>n</strong></em></span><span style="font-family:Verdana,Geneva,sans-serif;"> equilateral triangles.<br>
Pairing triangles that share an edge produces diamond shapes with three distinct orientations, as shown.</span>
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<img class="ipsImage ipsImage_thumbnailed" data-extension="core_Attachment" data-fileid="4283" data-unique="zjf3fmuq6" src="http://brainden.com/forum/uploads/monthly_2015_12/diamonds.jpg.259fe427403c0b0833b31a5846c24166.jpg" alt="diamonds.jpg"></p>
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<span style="font-family:Verdana,Geneva,sans-serif;">Prove that any </span><span style="font-family:Georgia,serif;"><em><strong>n</strong></em></span><span style="font-family:Verdana,Geneva,sans-serif;">-diamond tiling of the hexagon will</span><span style="font-family:Verdana,Geneva,sans-serif;"> use the three types in equal numbers.</span>
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/PRT4-pwP7gA" height="1" width="1" alt=""/>18099Sun, 28 Jan 2018 09:25:34 +0000http://brainden.com/forum/topic/18099-tiling-a-hexagon/Help Bob find Alice's P(x)$%^http://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/IQKlZyGphAA/<p>
Alice and Bob are playing the following game: Alice has a secret polynomial P(x) = a_0 + a_1 x + a_2 x^2 + … + a_n x^n, with non-negative integer coefficients a_0, a_1, …, a_n. At each turn, Bob picks an integer k and Alice tells Bob the value of P(k). Find, as a function of the degree n, the minimum number of turns Bob needs to completely determine Alice’s polynomial P(x).
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/IQKlZyGphAA" height="1" width="1" alt=""/>18161Fri, 16 Mar 2018 19:00:45 +0000http://brainden.com/forum/topic/18161-help-bob-find-alices-px/Cutting pizzahttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/uQ1PFdtGABU/<p>
Suppose you have a pizza being cut vertically with <strong>one </strong>straight cut, you'll be left with <strong>two </strong>pieces. The ratio of number of pieces to cuts in such an instance will be 2 (a whole number, i.e. no remainder).
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If you cut a pizza using <strong>two </strong>straight vertical cuts, you'll have <strong>four </strong>pieces left (pieces-to-cut ratio = 2, also a whole number).
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Cutting the pizza <strong>thrice</strong>, the maximum pieces possible is seven (pieces/cuts = 7/3 = 2.3333..., i.e. there is a <strong>remainder </strong>of 1).
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See attached image.
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Questions ...
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(1) What is the <strong><em>maximum number of pieces</em></strong> that one would get by cutting the pizza <strong>500 </strong>times using only straight vertical lines (<strong>no </strong>horizontal cuts allowed)?
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(2) <strong><em>How many</em></strong> cuts should one make to get a maximum of at least <strong>5 million</strong> pieces?
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(3) The minimum piece-to-cut ratio with no remainder is exactly 2 as indicate above. What would be the <strong><em>next higher number of cuts</em></strong>, such that the number of resulting pieces divided by the number of cuts has no remainder?
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<p><a href="http://brainden.com/forum/uploads/monthly_2018_06/1736761333_Pizzacuts.jpg.0f30af4fab17f89e046f8f2ba4dafc43.jpg" class="ipsAttachLink ipsAttachLink_image"><img data-fileid="4692" src="http://brainden.com/forum/uploads/monthly_2018_06/1736761333_Pizzacuts.jpg.0f30af4fab17f89e046f8f2ba4dafc43.jpg" class="ipsImage ipsImage_thumbnailed" alt="Pizza cuts.jpg"></a></p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/uQ1PFdtGABU" height="1" width="1" alt=""/>18260Sat, 23 Jun 2018 20:09:32 +0000http://brainden.com/forum/topic/18260-cutting-pizza/Help me please to solvehttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/DUEePO1TmHk/<p><a href="http://brainden.com/forum/uploads/monthly_2018_04/20180410_123706.png.9ac2472e7659d379e692c1577e53548c.png" class="ipsAttachLink ipsAttachLink_image"><img data-fileid="4621" src="http://brainden.com/forum/uploads/monthly_2018_04/20180410_123706.thumb.png.b11665cfd621b774467ea76e91499102.png" class="ipsImage ipsImage_thumbnailed" alt="20180410_123706.png"></a></p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/DUEePO1TmHk" height="1" width="1" alt=""/>18190Tue, 10 Apr 2018 13:53:08 +0000http://brainden.com/forum/topic/18190-help-me-please-to-solve/Crypto-Anagram #2http://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/3YPmRmtLyDI/<p>
Here is another cryptogram:
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XTWUMG YPNGGBNMC DXTAUFFNTMVBBO
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Solve it, then unscramble the letters in the resulting sentence (it is now an anagram) to reveal the name of a rock group and the title of one of their songs (six words altogether).
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This image is a clue to the solved cryptogram ...
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<a class="ipsAttachLink ipsAttachLink_image" data-fileid="4699" href="http://brainden.com/forum/uploads/monthly_2018_07/14413659_Clue1.jpg.8c8ab6d6f646afb504479f3300375330.jpg" rel=""><img alt="Clue 1.jpg" class="ipsImage ipsImage_thumbnailed" data-fileid="4699" src="http://brainden.com/forum/uploads/monthly_2018_07/14413659_Clue1.jpg.8c8ab6d6f646afb504479f3300375330.jpg" /></a>
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</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/3YPmRmtLyDI" height="1" width="1" alt=""/>18268Wed, 11 Jul 2018 09:22:43 +0000http://brainden.com/forum/topic/18268-crypto-anagram-2/Crypto-anagramhttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/9KtbM0vI_6c/<p>
Here is a cryptogram:
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ABRQQNA WTKQXT EWTUFRUXCJZ GNUZCUWCAS
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Solve it, then unscramble the letters in the resulting sentence (it is now an anagram) to reveal the name and surname of a politician and two of his policies (there are four words).
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/9KtbM0vI_6c" height="1" width="1" alt=""/>18213Sun, 20 May 2018 13:15:10 +0000http://brainden.com/forum/topic/18213-crypto-anagram/13 BRAIN TEASERS TO MAKE YOU THINK HARD AND TO BOOST YOUR BRAIN POWERhttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/0wIQ6zK9rH0/<p>
1. A box contains 12 balls of three different colors. 4 each of red, yellow and blue. If you were to be blindfolded and asked to pick them at random, How many balls must you pull out to be sure that there are at least two of one color among the balls picked out?
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2. In a training academy, Mark is the 50th fastest and the 50th slowest runner. Assuming no two runners, run at the same speed, how many runners are in Mark’s academy?
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3. Benjamin had locked his suitcase with a 3-digit numerical code. He normally forgets his codes, so he wrote some clues indicating the what the code was. Can you crack the code based on the 5 clues written below by Benjamin?
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Clue #1: 082 – One number is correct and well placed
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Clue #2: 013 – One number is correct but wrongly placed
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Clue #3: 260 – Two numbers are correct but both are wrongly placed
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Clue #4: 748 – None of the numbers are correct
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Clue #5: 786 – One number is correct but wrongly placed
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4. My daughter has many sisters.
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She has as many sisters as she has brothers.
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Each of her brothers has twice as many sisters as brothers.
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How many sons and daughters do I have?
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5. Pamela is trying to lose some weight.
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She wants to do this by climbing stairs.
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She starts on the fourth floor, climbs up five stories, down seven, up six, down three, and up four again.
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What floor is she on now?
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6. Jennifer is packing gifts and wants 200 ribbons of length 110 cm each.
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If each tape contains 25m of ribbon, how many tapes will Jennifer need?
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7. 3 competitors Frank, Bruce, and Jack go on an expedition in the forest. They find a magic lamp in one of the caves in the forest. As they rub the lamp a genie pops out and grants them 1 wish each.
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Frank goes first, “I wish I could be alive forever.”
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Bruce goes next, “I wish the word ‘alive’ actually meant ‘dead’”.
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Jack goes last, “I wish Bruce and Frank were dead”.
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After all, is said and done, who of the three is alive and who is dead?
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8. 20 people worked and earned $20 between them.
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The workers include men, women, and children.
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If each man earns $ 3, each woman $1.50 and each child earns $ 0.50.
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How many men, women, and children are there?
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9. In an athletic race, the woman who came two places in front of the last woman finished one ahead of the woman who came fifth. How many competitors were running the race?
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10. Your friend puts a coin in a wine bottle and then puts in the cork to close it. He now asks you to remove the coin from the bottle, but the conditions are that you cannot; take out the cork or Break the bottle. How would you remove the coin?
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11. A man has Ten Horses and nine stables as shown here.
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[] [] [] [] [] [] [] [] []
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The man wants to fit Ten Horses into nine stables. How can he fit Ten horses into nine stables?
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12. A school orchestra with 10 musicians can play the first section of a symphony in 10 minutes. How long would it take to play if they added 10 more musicians to the orchestra?
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13. Mark is throwing his son Stewart a surprise birthday party but he has limited funds.
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He spent half of his money plus $2.00 on the cake.
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Half of what was left plus $2.00 was spent on balloons and decorations.
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Then he spent half of what he had left plus $1.00 on candy.
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Now he is out of money, how much did Mark start with?
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</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/0wIQ6zK9rH0" height="1" width="1" alt=""/>18263Sun, 01 Jul 2018 11:36:45 +0000http://brainden.com/forum/topic/18263-13-brain-teasers-to-make-you-think-hard-and-to-boost-your-brain-power/12 RIDDLES THAT WILL TRICK YOUR MINDhttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/nq7sgBra2-Y/<p>
1. Janie's friends were chipping in to buy her a wedding shower present. At first 10 friends chipped in but 2 of them dropped out. Each of the 8 had to chip in another dollar to bring the amount back up. How much money did they plan to collect?
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2. A beggar's brother died but the man who died had no brother. How could this be?
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3. A girl is twice as old as her brother and half as old as her father. In 50 years her brother will be half as old as his father. How old is the daughter now?
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4. There were 5 men traveling down a road. It started to rain and 4 men sped up. The 5th did not. They all arrived at the same place at the same time, but all of them were wet besides the 5th. How?
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5. Trains travel from one town to another town all day, always on the same track, always going nonstop, and at the same speed. The noon train took 80 minutes to complete the trip but the night train took an hour and 20 minutes. Why?
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6. A king decided to let a prisoner try to escape the prison with his life. The king placed 2 marbles in a jar that was glued to a table. One of the marbles was supposed to be black and one was supposed to be blue. If the prisoner could pick the blue marble he would escape the prison with his life. If he picked the black marble he would be executed. However, the king was very mean and he wickedly placed 2 black marbles in the jars and no blue marbles. The prisoner witnessed the king only putting 2 black marbles in the jars. If the jar was not see-through and the jar was glued to the table and the prisoner was mute so he could not say anything, how did he escape with his life?
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7. A prisoner is told 'If you tell a lie we will hang you; if you tell the truth we will shoot you.' What can he say to save himself?
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8. There is a cat, a dog, and a mouse. You need to get them across the river. You can't leave the cat and the dog alone or the mouse and the cat alone. Your boat can only carry one animal. How do you get them across?
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9. There are two bodies on the floor. They are surrounded by water and broken glass. How did they die?
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10. An electric train is going south at 98 mph. The wind is blowing northeast. Which direction is the smoke blowing?
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11. A night shift guard while on patrol at night, dreams about that the king will die in a plane crash. He tells the king in the morning, but the king tells him not to worry and flies anyway. When he returns from his trip he fires the night shift guard. Why does the king fire the night shift guard?
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12. A large truck is crossing a bridge 1 mile long. The bridge can only hold 12000 lbs which are the exact weight of the truck. The truck makes it halfway across the bridge and stops. A bird lands on the truck. Does the bridge collapse? Give a reason.
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VIDEO:
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</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/nq7sgBra2-Y" height="1" width="1" alt=""/>18265Tue, 03 Jul 2018 14:29:13 +0000http://brainden.com/forum/topic/18265-12-riddles-that-will-trick-your-mind/Logic Puzzle with 26 Variableshttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/_EnWfGKxPcc/<p>
What is the answer of (x-a)(x-b)...(x-z)?
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The solution is contained in the video below
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<strong><a href="https://youtu.be/CnHBE4SbRRs" rel="external nofollow">https://youtu.be/CnHBE4SbRRs</a></strong>
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/_EnWfGKxPcc" height="1" width="1" alt=""/>18267Tue, 10 Jul 2018 01:23:20 +0000http://brainden.com/forum/topic/18267-logic-puzzle-with-26-variables/Ranks and Files : Dominoeshttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/Kg_zn_27iKY/<p>
<img alt="dominojigsawpuzzle1.jpg.df4c337d45bb3035ac1709fff3adcd88.jpg" class="ipsImage ipsImage_thumbnailed" data-fileid="4693" src="http://brainden.com/forum/uploads/monthly_2018_06/dominojigsawpuzzle1.jpg.df4c337d45bb3035ac1709fff3adcd88.jpg" /></p>
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Can you arrange the 6 x 6 domino set in order that all columns and rows contains 0 - 6 ?
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/Kg_zn_27iKY" height="1" width="1" alt=""/>18262Sun, 24 Jun 2018 11:45:18 +0000http://brainden.com/forum/topic/18262-ranks-and-files-dominoes/20 RIDDLES TO TEST YOUR MATH, IQ AND THINKING SKILLS.http://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/2r5FayYhMYk/<p>
1. What is the value of x If 1/2, 2/3, 3/4, 4/5, 5/6, 6/7, 7/8, 8/9, 9/10 then x/1000?
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2. If 4 and 2= 26, 8 and 1 = 79 and 6 and 5 = 111. Then, what is 7and3?
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3. What 3 positive numbers give the same result when multiplied and added together?
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4. What number do you get when you multiply all of the numbers on a telephone's number pad?
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5. Here is a light switch. Note the order of the positions. If the light is now at medium and it is switched 3922 times what will be the position of the switch?
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6. Can you arrange four nines to make it equal to 100.
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8. If 1/2 of 5 is 3, then what is 1/3 of 10?
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9. 100 students entered college. 55 of them chose music. 44 of them chose sports. 20 of them chose both. How many of them chose neither music nor sports?
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10. Four friends are going to a concert. When they arrive, there are only five seats together left in the theater. The manager will let all four friends in for free if one of them can tell her how many different seating arrangements are possible for four people with five empty seats.
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All four are let in free. Could you have given the correct answer?
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12. At six o’clock the wall clock struck 6 times. Checking with my watch, I noticed that the time between the first and last strokes was 30 seconds. How long will the clock take to strike 12 at midnight?
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13. There are several books on a bookshelf. If one book is the 4th from the left and 6th from the right, how many books are on the shelf?
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14. John has been hired to paint the numbers 1 through 100 on 100 apartments.
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How many times he has to paint 8?
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15. You have two books. One of them is upside-down and the other is rotated so the top of the book is facing you.
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What is the sum of the first page in each book?
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16. There is a certain club which is for men only. There are 600 men who belong to this club and 5% of these men wear one earring. Of the other 95% membership, half wear two earrings and the other half wear none. How many earrings are being worn in this club?
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17. Does a pound of gold or a pound of feathers weight more?
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18. There is a chain nailed to the wall. The chain is 10 feet long and the center of the chain dips down 5 feet from where each side of the chain is nailed to the wall. How far are the 2 ends of chain from each other?
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19.Little Johnny is walking home. He has $300 he has to bring home to his mom. While he is walking a man stops him and gives him a chance to double his money. The man says "I'll give you $600 if you can roll 1 die and get a 4 or above, you can roll 2 dice and get a 5 or 6 on at least one of them, or you can roll 3 dice and get a 6 on at least on die. If you don't I get your $300."
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What does Johnny do to have the best chance of getting home with the money?
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20. If you have 6 women and 2 friends, how many women do each of your friends get?
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<p>
I created this video <a href="https://www.youtube.com/watch?v=0T5n7lygmHU" rel="external nofollow">20 RIDDLES TO TEST YOUR MATH, IQ AND THINKING SKILLS. </a> And I wanted to share it with you, Try to answer all riddles, And let me know your feedback. Thanks, and Good Luck!
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/2r5FayYhMYk" height="1" width="1" alt=""/>18256Sun, 17 Jun 2018 20:17:00 +0000http://brainden.com/forum/topic/18256-20-riddles-to-test-your-math-iq-and-thinking-skills/Bowling for equilateral triangleshttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/yvQDsOwye_Q/<p>
Bob, who's a fairly bright guy, went out to the bowling alley with his buddies. They noticed that some of the bowling pins had the typical red stripes and all of the others had black stripes instead. At one point after a new set of 10 pins were laid down, Bob commented that there were no equilateral triangles formed by pins with the same color stripes.
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How many beers did Bob have by that point? Provide a proof.
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/yvQDsOwye_Q" height="1" width="1" alt=""/>18239Thu, 07 Jun 2018 14:04:54 +0000http://brainden.com/forum/topic/18239-bowling-for-equilateral-triangles/Square Freehttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/_ewNg1iWLS0/<p>
Remove 4 pieces from the above position.. then place them back on any free squares of the chessboard so that no square can be formed by any four pieces on corners of a square . Which pieces to choose and where to position them?
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<p><a href="http://brainden.com/forum/uploads/monthly_2018_06/1137900308_squarechess.png.a8bf9fe19dc18ddd61efb25290999c3d.png" class="ipsAttachLink ipsAttachLink_image"><img data-fileid="4657" src="http://brainden.com/forum/uploads/monthly_2018_06/1137900308_squarechess.png.a8bf9fe19dc18ddd61efb25290999c3d.png" class="ipsImage ipsImage_thumbnailed" alt="square chess.png"></a></p>
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This is base on my posted question <span>:</span> " Anti Square" .About most number of pieces on chess board without forming a square. Yet 34 may not be the maximum.
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</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/_ewNg1iWLS0" height="1" width="1" alt=""/>18246Sun, 10 Jun 2018 08:46:33 +0000http://brainden.com/forum/topic/18246-square-free/weighing puzzle 12 balls of equal size and weight except for 1http://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/eK7RBvhG3YI/<p>
You have 12 balls of equal size and weight ,except one ball is either lighter or heavier than the others. Using an analytical balance only 3 times ,identify the odd ball and weather it is hvy or light
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/eK7RBvhG3YI" height="1" width="1" alt=""/>18119Thu, 15 Feb 2018 16:16:04 +0000http://brainden.com/forum/topic/18119-weighing-puzzle-12-balls-of-equal-size-and-weight-except-for-1/Smallest Grid to Fit 1 2 3 4 5 6 7 8 9 0http://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/GF125d2ZtS8/<p>
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<span style="background-color:#ffffff;color:#222222;font-size:15px;text-align:left;">On the 2 x 1 grid all 7- segment digits above can be formed one at a time as seen on clocks , calculators and other digital devices. If we are allowed to flip or rotate and overlap segments, how should these digits be configured inside the 3 x 4 grid ,so we can see all of them at the same time?</span>
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<a class="ipsAttachLink ipsAttachLink_image" href="http://brainden.com/forum/uploads/monthly_2018_06/960786719_7segmentdigits.png.305cbba54244b6f31413d782d2d4969c.png" data-fileid="4658" rel=""><img alt="7 segment digits.png" class="ipsImage ipsImage_thumbnailed" data-fileid="4658" src="http://brainden.com/forum/uploads/monthly_2018_06/960786719_7segmentdigits.png.305cbba54244b6f31413d782d2d4969c.png" /></a>
</p>
<div class="ipsSpoiler" data-ipsspoiler="">
<div class="ipsSpoiler_header">
<span>Spoiler</span>
</div>
<div class="ipsSpoiler_contents">
<p>
note: too much overlapping may cause some digits to disappear
</p>
</div>
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<p>
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/GF125d2ZtS8" height="1" width="1" alt=""/>18247Sun, 10 Jun 2018 18:45:10 +0000http://brainden.com/forum/topic/18247-smallest-grid-to-fit-1-2-3-4-5-6-7-8-9-0/You're super genius if you solve this Puzzlehttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/446FQ43OSoU/<p>
There are 90 students at school, 30 students participate at football team, 40 students participate at Volleyball team and 25 students participate at Basketball team.
</p>
<p>
15 students are participating in football team & Volleyball team.
</p>
<p>
10 Students are participating in football team & Basketball team.
</p>
<p>
8 Students are participating in Volleyball team & Basketball team.
</p>
<p>
23 Students not participating at any team, whereas there are students participate at three teams.
</p>
<p>
How many students participating at three teams?
</p>
<p>
How many students participating at Football team only?
</p>
<p>
How many students participating at Volleyball team only?
</p>
<p>
How many students participating at Basketball team only?
</p>
<p>
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/446FQ43OSoU" height="1" width="1" alt=""/>18231Mon, 04 Jun 2018 21:42:27 +0000http://brainden.com/forum/topic/18231-youre-super-genius-if-you-solve-this-puzzle/Brain Teaserhttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/KyFPtQqYUS0/<p>
<span style="font-family:Arial, Helvetica, sans-serif;">Was giving this puzzle by a friend but cant seem to get my head around it !</span>
</p>
<p>
</p>
<center>
<span style="font-family:Arial, Helvetica, sans-serif;"><font color="#800080" size="4">Seven cachers attending a nearby camping event had all booked pitches for the weekend. Can you work out whose tent is on which pitch, the country each cacher is from, what type of cache they prefer to find, and how many caches they found on their way to the camping event?</font></span><br />
</center>
<p>
<br /><br /><span style="font-family:Arial, Helvetica, sans-serif;"><font color="#800080" size="3">1) The tent on pitch 2 is owned by the French cacher. The American cacher prefers wherigos.<br /><br />
2) Marie’s tent is immediately to the left of the Chilean cachers. She prefers multi caches and found twice as many as the Spanish cacher, who does not favour letterbox hybrids.<br /><br />
3) Heidi prefers mystery caches. She found more caches than Hugo, who found more than Frank.<br /><br />
4) Brigitte is German. Her tent is two places left of Frank’s, who isn’t at the end of the row, and somewhere right of – but not adjacent to – the UK cacher.<br /><br />
5) The Chilean, who is not next door but one to the Belgian, is further right than Stanley. Pitch one much prefers earth caches.<br /><br />
6) Juan has pitch number 3. Sixteen caches were found by a man whose tent is pitched somewhere left of Frank’s.<br /><br />
7) Heidi is immediately right of the person who has flown over from the States, and who found more caches than the UK cacher. 40 Traditional cache where found by a European cacher, their favourite type.</font><br /><br /><br /><br /><font color="#800080" size="2">Cachers Names: Brigitte, Frank, Heidi, Hugo, Juan, Marie, Stanley<br />
Country: Belgium, Chile, France, Germany, Spain, UK, USA<br />
Favourite cache type: Earth, Letterbox, Multi, Mystery, Traditional, Virtual, Wherigo<br />
Number of finds: 2, 4, 5, 8, 10, 16, 40</font></span>
</p>
<p><a href="http://brainden.com/forum/uploads/monthly_2018_06/87fbf7a2-acf7-4da8-8864-e9f32988f09e_l.jpg.b8183edfe2ded9ef518be9418ded6097.jpg" class="ipsAttachLink ipsAttachLink_image"><img data-fileid="4652" src="http://brainden.com/forum/uploads/monthly_2018_06/87fbf7a2-acf7-4da8-8864-e9f32988f09e_l.jpg.b8183edfe2ded9ef518be9418ded6097.jpg" class="ipsImage ipsImage_thumbnailed" alt="87fbf7a2-acf7-4da8-8864-e9f32988f09e_l.jpg"></a></p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/KyFPtQqYUS0" height="1" width="1" alt=""/>18234Wed, 06 Jun 2018 07:54:08 +0000http://brainden.com/forum/topic/18234-brain-teaser/The Perplexed Bankerhttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/8ZdToJY847s/<p>
<strong>I have some difficulties solving this problem, I searches on the Internet the answer, this was solved by geometric progression, but I don't understand how that was concluded, any hints?</strong>
</p>
<p>
</p>
<p>
A man went into a bank with a thousand dollars, all in dollar bills, and ten bags. He said, "Place this money, please, in the bags in such a way that if I call and ask for a certain number of dollars you can hand me over one or more bags, giving me the exact amount called for without opening any of the bags." How was it to be done? We are, of course, only concerned with a single application, but he may ask for any exact number of dollars from one to one thousand.<br />
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/8ZdToJY847s" height="1" width="1" alt=""/>18243Fri, 08 Jun 2018 06:34:46 +0000http://brainden.com/forum/topic/18243-the-perplexed-banker/the distinguished matrixhttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/FMjNh_s6zo8/<div style="border:0px;font-size:16px;padding:0px 0px 0px 46px;vertical-align:baseline;">
<div style="border:0px;font-size:16px;padding:0px 8px 0px 0px;vertical-align:baseline;">
<p>
Imagine you have several distinguishable rows composed of several distinguishable columns
</p>
<p>
The intersection of the rows and columns either have a 1 or a 0.
</p>
<p>
<span style="background-color:#ffffff;color:rgba(0,0,0,.9);font-size:14px;text-align:left;">Each row sums to the same value and the question is how many of the columns can you eliminate assuming the the 1's in each row are randomly distributed across the columns</span>
</p>
<p>
<span style="background-color:#ffffff;color:rgba(0,0,0,.9);font-size:14px;text-align:left;">Example, there are 30 rows and 20 columns with each row containing 7 randomly dispersed 1's. How many columns can be eliminated reducing the total in each row by no more than 2.</span>
</p>
</div>
</div><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/FMjNh_s6zo8" height="1" width="1" alt=""/>18224Tue, 29 May 2018 11:41:05 +0000http://brainden.com/forum/topic/18224-the-distinguished-matrix/Brainden raceshttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/kvKZfobHUqI/<p>
<span style="font-family:Verdana,Geneva,sans-serif;">At the annual Brain Denizen picnic, there were the inevitable games, among them the ever-popular three-legged race. Three teams were formed by tying one contestant's right leg to another' s left leg. Fortunately all six contestants made it to the finish line without any broken bones! For purposes of this puzzle we assume all three teams ran the 100-meter course at constant speed. Team 2, comprising BMAD and Thalia, were able to beat Team 3, comprising rocdocmac and DejMar by 20 meters, but lost to the winner, Team 1, comprising plasmid and plainglazed, by 20 meters as well. By how many meters did Team 1 beat Team 3?</span>
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/kvKZfobHUqI" height="1" width="1" alt=""/>18226Sat, 02 Jun 2018 13:15:19 +0000http://brainden.com/forum/topic/18226-brainden-races/One Girl - One Boyhttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/1gV4Gw_ja30/<p>Ok, so Teanchi and Beanchi are a married couple (dont ask me whose he and whose she)!</p><p>
</p><p>
They have two kids, one of them is a girl, what is the probability that the other kid is also a girl.</p><p>
</p><p>
Assume safely that the porbability of each gender is 1/2.</p><p>
</p><p>
</p><blockquote class="ipsStyle_spoiler" data-ipsspoiler=""><p>Ofcourse its not 1/2 else would make it a lousy puzzle...</p></blockquote><p>
</p><p>
</p><blockquote class="ipsStyle_spoiler" data-ipsspoiler=""><p>Ans: 1/3</p><p>
</p><p>
This is a famous question in understanding conditional probability, which simply means that given some information you might be able to get a better estimate. </p><p>
</p><p>
The following are possible combinations of two children that form a sample space in any earthly family:</p><p>
Girl - Girl</p><p>
Girl - Boy</p><p>
Boy - Girl</p><p>
Boy - Boy</p><p>
</p><p>
Since we know one of the children is a girl, we will drop the Boy-Boy possibility from the sample space.</p><p>
This leaves only three possibilities, one of which is two girls. Hence the probability is 1/3</p></blockquote><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/1gV4Gw_ja30" height="1" width="1" alt=""/>325Thu, 12 Jul 2007 16:03:53 +0000http://brainden.com/forum/topic/325-one-girl-one-boy/Calc-quickiehttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/TZ6h3y9mnD8/<p>
<img alt="image.png.827b849be95c48b2829182921eaddc94.png" class="ipsImage ipsImage_thumbnailed" data-fileid="4640" height="43" src="http://brainden.com/forum/uploads/monthly_2018_05/image.png.827b849be95c48b2829182921eaddc94.png" width="205" /></p>
<p>
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/TZ6h3y9mnD8" height="1" width="1" alt=""/>18212Sun, 20 May 2018 09:47:45 +0000http://brainden.com/forum/topic/18212-calc-quickie/The triangle puzzlehttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/Zy_R6iCfRHM/<p>
<span style="font-family:Verdana,Geneva,sans-serif;">You've probably seen this puzzle. There are 15 holes in triangular array. (See sketch below.) The game begins with pegs in 14 of the holes. The play is to jump pegs over adjacent pegs, removing the "jumped" pegs afterward, as in checkers. The jump is made in a straight line. To make a jump, you need a contiguous group consisting of { peg1, peg2, hole } in a straight line. Peg1 ends up in the hole, and peg2 is removed. The object is to make 13 legal jumps and end up with a single peg. </span>
</p>
<p>
<span style="font-family:Verdana,Geneva,sans-serif;">This happens about 6% of the time. That is, about 94% of the time you get a configuration, with more than one peg remaining, that permits no further legal jumps. In some games the peg must end up in the original empty hole, and that happens only about 3% of the time. So, it's not a trivial puzzle. </span>
</p>
<p>
<span style="font-family:Verdana,Geneva,sans-serif;">This puzzle asks for something different, and easier: <em><u>Lose as badly as possible</u>.</em> That is, select a location for the empty hole, and then find a sequence of moves that <u><em>leaves the greatest number of pegs on the board</em></u> where there are no more legal jumps.</span>
</p>
<p>
<span style="font-family:Verdana,Geneva,sans-serif;">It's simple enough to play, even without the game, by marking hole locations on a sheet of paper and using pennies.</span>
</p>
<div class="ipsSpoiler" data-ipsspoiler="">
<div class="ipsSpoiler_header">
<span>Spoiler</span>
</div>
<div class="ipsSpoiler_contents">
<p>
<span style="font-family:Verdana,Geneva,sans-serif;"><em>Hint</em>: you might first want to sketch patterns of pegs that have no further legal jumps. Then decide where to place the initial empty hole and how to make the jumps to get to the desired configuration.</span>
</p>
</div>
</div>
<p>
<span style="font-family:Verdana,Geneva,sans-serif;">As already stated, there are 15 holes. There are also 36 possible jumps. For convenience in writing sequences of jumps, they can be numbered, as follows:</span><br>
</p>
<p>
<span style="font-family:Courier New,Courier,monospace;">Number the <span style="color:#000099;">jumps</span> like this: and the <span style="color:#ff0000;">holes</span><br>
---------------------------> <span style="color:#ff0000;"><strong>o</strong></span> ------------- <span style="color:#ff0000;">1</span><br>
So <strong><span style="color:#0000cc;">Jump #1</span></strong> means the <strong><span style="color:#000099;">/</span></strong> \ like this:<br>
peg in hole #1 jumps <strong><span style="color:#000099;">1</span></strong> 2 ----------> <span style="color:#ff0000;">2 3</span><br>
over the peg in hole <br>
#2 into the empty <span style="color:#ff0000;">4 5 6</span><br>
hole #4. <span style="color:#ff0000;"><strong>o</strong></span> <span style="color:#ff0000;"><strong>o</strong></span> <br>
/ \ / \ <span style="color:#ff0000;">7 8 9 10</span><br><span style="color:#000099;"><strong>Jump #18</strong></span> is peg 7 3 4 5 6<br>
over peg 8, into 7 13 <span style="color:#ff0000;">11 12 13 14 15</span><br>
hole 9. / \<br>
<span style="color:#ff0000;"><strong>o</strong></span>-8 <span style="color:#ff0000;"><strong>o</strong></span> 14-<span style="color:#ff0000;"><strong>o</strong></span><br>
Holes 4, 6, 13 / \ / \ / \<br>
begin 4 jumps; 9 10 11 12 15 16 <br>
the others 17 19 21 23<br>
begin two. / / \ \<br>
<span style="color:#ff0000;"><strong>o</strong></span><span style="color:#000099;"><strong>-18</strong></span> <span style="color:#ff0000;"><strong>o</strong></span>-20 22-<span style="color:#ff0000;"><strong>o</strong></span> 24-<span style="color:#ff0000;"><strong>o</strong></span><br>
There are<br>
36 jumps.<br>
25 27 29 30 33 35<br>
/ / \ / \ \<br>
<span style="color:#ff0000;"><strong>o</strong></span>-26 <span style="color:#ff0000;"><strong>o</strong></span>-28 31-<span style="color:#ff0000;"><strong>o</strong></span>-32 34-<span style="color:#ff0000;"><strong>o</strong></span> 36-<span style="color:#ff0000;"><strong>o</strong></span></span>
</p>
<p>
<br><span style="color:null;"><span style="font-family:Verdana,Geneva,sans-serif;">With symmetries taken into account, the holes have four equivalence classes:</span></span>
</p>
<ul>
<li>
<span style="color:null;"><span style="font-family:Verdana,Geneva,sans-serif;">Corners (1, 11, 15)</span></span>
</li>
<li>
<span style="color:null;"><span style="font-family:Verdana,Geneva,sans-serif;">Adjacent to corners (2, 3, 7, 10, 12, 14)</span></span>
</li>
<li>
<span style="color:null;"><span style="font-family:Verdana,Geneva,sans-serif;">Edge centers (4, 6, 13) </span></span>
</li>
<li>
<span style="color:null;"><span style="font-family:Verdana,Geneva,sans-serif;">Centers (5, 8, 9)</span></span>
</li>
</ul>
<p>
<span style="font-family:Verdana,Geneva,sans-serif;">This means that there are just four distinct places for the empty hole to start a game: { 1 2 4 5 }. All other holes are symmetrically equivalent to one of these.</span>
</p>
<p>
<span style="font-family:Verdana,Geneva,sans-serif;">Just to be sure the numbering above is understood, here is a winning game of the normal type. Start with pegs in every hole except #1. (The top hole is empty.) Then make these jumps: { 7 14 2 17 23 27 34 26 30 6 35 14 7 }. If done correctly, the original hole #1 contains the final peg.</span>
</p>
<p>
<span style="font-family:Verdana,Geneva,sans-serif;">Enjoy.</span>
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/Zy_R6iCfRHM" height="1" width="1" alt=""/>18217Tue, 22 May 2018 23:55:06 +0000http://brainden.com/forum/topic/18217-the-triangle-puzzle/Brick quickiehttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/nRc13YdYuDA/<p>
If all the "bricks" in the stack shown are identical to one another with a single brick having a circumference of 345 units ( section view), what is the circumference of the whole stack?
</p>
<p><a href="http://brainden.com/forum/uploads/monthly_2018_05/Bricks.jpg.bf1c5e148a1c9d5994818398687fe099.jpg" class="ipsAttachLink ipsAttachLink_image"><img data-fileid="4643" src="http://brainden.com/forum/uploads/monthly_2018_05/Bricks.jpg.bf1c5e148a1c9d5994818398687fe099.jpg" class="ipsImage ipsImage_thumbnailed" alt="Bricks.jpg"></a></p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/nRc13YdYuDA" height="1" width="1" alt=""/>18221Sun, 27 May 2018 10:49:49 +0000http://brainden.com/forum/topic/18221-brick-quickie/Strange math problemhttp://feedproxy.google.com/~r/Braindencom-NewPuzzles/~3/tApeiG8rsic/<p>
<span style="font-family:Verdana,Geneva,sans-serif;"><span googl="true">The professor writes a problem on the whiteboard, thus:</span></span><br><br><span style="font-family:Verdana,Geneva,sans-serif;"><b>25 - 55 + (85 + 65) = ?</b></span><br><br><span style="font-family:Verdana,Geneva,sans-serif;">He then inexplicably states that, even though you might disagree, the correct answer is actually 5!</span>
</p>
<p>
<span style="font-family:Verdana,Geneva,sans-serif;">Explanation?</span>
</p><img src="http://feeds.feedburner.com/~r/Braindencom-NewPuzzles/~4/tApeiG8rsic" height="1" width="1" alt=""/>18195Mon, 16 Apr 2018 10:38:39 +0000http://brainden.com/forum/topic/18195-strange-math-problem/