The Joy of Game Theory shows how you can use math to out-think your competition. 40 = a*c (from a:c(c) correlation constant) is proven false. Johannes, if we reject induction, then we must reject all induction. The last of number of B.,5 times the first number of A., 1, that is 5. Università degli Studi di â¦ Chlorinated triazines are the basis of an important family of reactive dyes, which are covalently attached to cellulosic materials. For example, 1 + 4 is turned into 2 + 5; so both the numbers 1 and 4 are increased by 1. Scuola primaria verifiche di italiano 1° quadrimestre classi 1^, 2^, 3^, 4^, 5^ 8. As an Amazon Associate I earn from qualifying purchases. That is: 1 + 4 means 1 + 1(4) = 5 2 + 5 means 2 + 2(5) = 12 3 + 6 means 3 + 3(6) = 21. Sunday Puzzle. By Presh Talwalkar. I basically did something similar which also makes mathematical sense. MindYourDecisions now has over 1,000 free articles with no ads thanks to community support! Dan Munchie, note that the correlation a:c(c) is the constant 2a + 4(a*c), where 2a + 4 = a+c, and (c) = a*c. So, 1:5(5), 2:6(12), 3:7(21), etc. This solution does not assume any ulterior rules. Math Videos, Math Puzzles, Game Theory. On line 8, there are 7 previous lines. Most people believe the answer is either 96–with the equation a + ab–or 40–with a running total. LOL. (4.2/5 stars on 150 reviews), 40 Paradoxes in Logic, Probability, and Game Theory contains thought-provoking and counter-intuitive results. Algebra per il primo anno delle superiori, Algebra per il secondo anno delle superiori, Matematica per il terzo anno delle superiori, Gestione di progetto e organizzazione di impresa. In base 10 mathematics, 1+4 is always 5, 2+5 is always 7, 3+6 is always 9 and 8+11 is always 19. This is just as legitimate an answer, the assumed form of the unknown equation is just as arbitrary as a+ab. Most YouTube channels of my size have a staff of 5 people with a large budget and sponsors. I run the MindYourDecisions channel on YouTube, which has over 1 million subscribers and 200 million views. It turns out the running total can also lead to the answer of 96, if you decide to fill in the pattern a bit more. The layman’s explanation was an object’s complexity is defined by the shortest program that can be used to produce the object (for a well-defined language). esercizi con soluzioni su tornitura - fresatura - taglio della sega - allargatura - tecnol... Espandi. But some people interpreted the problem differently and arrived at a different answer. Applying the pattern to the last equation gives the answer of 96. For example, the constant 2a+3 becomes 10(2a+3), or the constant b = a+3 becomes 10b = 10(a+3). I send the newsletter to for book releases and other big news. A Third Interpretation: The Answer is 201. I came up with the same answer as Bill Shuff. ©2000—2020 Skuola Network s.r.l. Skuola.net News è una testata giornalistica iscritta al Registro degli This gives the number on right-side. Constants should be found using the simplest possible form, i.e. What if you assumed instead that: a+b = (a^2) * (2*b^2 – 24*b + 79) / (b-a) This holds true for lines 1, 2 and 3, and results in 8 + 11 = 1216. If you tend to disagree, I’m open for discussion. Official Site of Leupold & Stevens. For example, 1 + 4 is turned into 2 + 5; so both the numbers 1 and 4 are increased by 1. (I send it 1 or 2 times a year, and I only collect your email to send this news). So if you got 201, that’s another way people have seen the pattern. I think that the pattern is: Numbers on the left are decimal values Numbers on the right are expressed in the sequence: base 6 for the first line then base 5 for the second line, then base 4, then base 3 Thus 1+ 4 = 5 (base 6 2+5 = 12 (base 5 3+6 = 21 (base 4 8+11 = 201 (base 3 If my conversion of 19(decimal) to base 3 is wrong, please correct the 201 number and make the corrected value to be my solution to the puzzle. Like many YouTubers I use popular software to prepare my videos. Same answer as c = (a * (2a + 3)) – (a^2 – a). if a = 8 a:c(c) a+c = 2a+4 a*c = (c) 8:c(c) 8:12(96). 7 Problema (Prova nazionale INVALSI 2008) Un padre e i suoi 4 figli si dividono una vincita al lotto in questo modo: al padre ne spetta 1/3, e il rimanente viene diviso in parti uguali tra i figli. This pattern results in an answer of 40, and many people suggested this answer is more valid. 2 Farò di te un popolo numeroso, una grande nazione. If you were going to pay an employee based off the given numbers, how many hours would he/she get paid for? The way I read this if it were a series there should be something that specifically denotes this like a set of ellipses like this: The same way that I read the equation VERY literally as a correct math equation. I.e. Math Puzzles Volume 2 is a sequel book with more great problems. Game Theory Tuesdays, How Many Liars Are At The Party? But I am updating this post on January 3, 2018 since several people have emailed me and would like this answer to be represented too. This means we need to take 8 and add 11 to it 8 more times, which is 8 + 8(11) = 96. There was an another obscure answer I found in my research that I omitted. x-x^2-1â 0 è sempre vera perchè questo polinomio ha determinante negativo. So...the problem here is there is are MULTIPLE CORRECT ANSWERS, since the construct for this problem is not defined. Y O U R . Be prepared–animation is time consuming and software can be expensive! Without violating mathematics, I concluded the valid answer is that of receding bases. As an Amazon Associate I earn from qualifying purchases. Is it 40 or 96? There is nothing listed that connects any of these facts to the previous fact, therefore, with the information presented, and not adding any new information to the problem, the ONLY answer that it could be is 19.๏ปฟ, For me is only one explanation: |1|+|4| = 5 |2|+|5|=12 |3|+|6|=21 |8|+|11|=40 because der its relation: =========== 1+4 =5 1+2+4+5=12 1+2+3+4+5+6=21 1+2+3+8+4+5+6+11=40. Learn more. All induction is rejected, therefore face value is our only option. The base used should be 7 minus the first value. Let’s prove this formula holds by induction. I thought I would be first to inform you of this approach, but alas, Bill beat me to it. YouTube Video – Can You Solve Amazon’s Hanging Cable Interview Question? Assuming the formula is true up to line n, we then consider the next line. The first equation is true, the second and third are false, and the answer to the equation should be 19. US, list of my books (US) UK, list of my books (UK) Canada, book results (CA) Germany, list of my books (DE) France, list of my books (FR) India, list of my books (IN) Australia, book results (AU) Italy, list of my books (IT) Spain, list of my books (ES) Japan, list of my books (JP) Brazil, book results (BR) Mexico, book results (MX). It's been quite a journey! The final line has another 11. 2,4,6-Trichloro-1,3,5-triazine (cyanuric chloride) is the starting point for the manufacture of many herbicides such as Simazine and atrazine. The Joy of Game Theory: An Introduction to Strategic Thinking, https://mindyourdecisions.com/blog/my-books, 40 Paradoxes in Logic, Probability, and Game Theory, The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias, https://www.facebook.com/randall.joneslatinjuggalo/posts/1048238075247858, http://www.telegraph.co.uk/education/2016/04/22/this-maths-problem-has-thousands-of-people-baffled-can-you-work/, https://www.reddit.com/r/puzzles/comments/4gbxst/how_to_come_up_with_the_most_correct_answer_on_a/. (a+b)[base10] = (a+(a+3))[base10] = f(a)[base10] = f(a)[base(7-a)]. I thank everyone that has shared my work, and I am very grateful for coverage in the press, including the Shorty Awards, The Telegraph, Freakonomics, and many other popular outlets. Changing the base notation on the right can be done without making assumptions. Right now MindYourDecisions is going ad-free on new blog posts thanks to generous support from patrons. What is the running total when we include these “missing” lines? However, the assumption that the 4th equation should use base 3 does not seem appropriate – it should be a function of the information provided. ", ${19/22-[2/3-(12/11-25/33+1/22)+(14/11-5/6)]}+4/11$, $1/6+7/2-{[(1/3+2)-(5/4+1/2-7/8)]+5/6+1}-1/8+3/4$, ${[(1-3/5)+5/2+1/8-3/4)-(3/2-1)]+(1/4+2)}-(1+1/8)$, ${[(1+5/4)-(1+3/2)+(2+1/4)]-1/6+5/2}+(5/3+1)$, $3/2+[(1/6+5/3-1/8)+3/4+1]-{[(1+3/2-1/6)+2]-1}$, ${15/4-[(3/2+1/4+7/8+2)-(2/3+1/4+7/8)]}+(1+3/4)$, ${7/10-{(4/5+6/11+2/55-2/11)-(5/12+7/20-1/4)]}+1/12$, ${[(1/3-1/5+3/4)+(5/6-1/4)]+(3/5-1/9+1/2)-3/2}$, ${[3/8+(2/5+5/3-2/3)+(3+1/2+3/5-5/3)]-3/4}-7/8$, ${[(3/2+5/4)-(1/2+1/3)+(1/2+2/3-3/4)]-(2/3+1/4+7/8)}-1/24$, ${[(2/5+5/6-1/3)-1/2]+(2/5-1/4)+(1+31/20)}-(5/12+7/20-1/4)-(11/4-5/6)$, ${[(11/4-5/6)-(1/3+3/4)-2/3]+(4+2/3+1/6)}+(2/5+7/2+1/10)$, $2-{[2/3+(1-1/15)]-[11/15-(1/3+11/30-2/15)]}+(2/5+5/6-1/3)-3/5$, $5/2-{[9/2-(9/4-3/8)]-[(3/2+5/4)-(1/2+1/3)]+(1-23/24)}$, ${[(3/4+1/3+1)+(3/5+5/4)]+[1/2+(1+1/3)+5/6]}+(1+7/10+3/10)$, $5/2-{(3/2-1/4)+[(1/2+2/5-3/4)+(1/6+2/5-2/15)]}$, $(7-3/5)-[4/3-(1-1/3)+5-(2+4/3)-1/5]+26/15$, $[(9/5+8/3-7/6)+(8/3+5/12-11/6)]-(8/5-5/4+7/5)$, $(3+1/3)+(2+1/2)-[2+5/3-(1/2-1/3)-(1+1/2)]=$, $1-[(2/3-1/6)+(1/3-1/4)+(2-1/3)-(2-3/4)]=$, $(1)/(2)+[((7)/(12)+(1)/(2))-((27)/(12)-(1)/(2)-(2)/(3))]+((2)/(9)-(1)/(36))+(1)/(18)=$, $2+3/2+[(3/8-1/4)+(11/6+1/2-3/4)-(8/15+5/6-1/30)]+9/8=$, ${[2,5+3,5:5+(2+2,6)xx3,2:8]-(12,5+3,5):8+4}+2,96=$, ${[(2,5xx0,3+5):0,5+0,9]-0,4:(0,6+2,8+2,6-2)}-12,3=$, ${38,8:2-[40:2,5-(37+3,5-32,5)]}+0,6:2-5,7=$, $[(2,7+7,8)+(18,8+12,2-6,5)]:7+12,5-(2,8+0,7)=$, $[(3^5xx3^4:3^6-5^2)xx3^2xx2]:2^2-[(5^2)^0]^5=$, $[(2^5+1^5):11]xx2+[2-(5^2xx2-7^2)+3^2]:10=$, $7xx3^2-5^2xx2+7^3:7^2xx2^3-(5xx2^3+2^4)-(2^3+5^6:5^5)=$, $4xx(2^4xx5-3xx2^4)+3xx(2^4+5^2-3^3):7-(36:12)^2=$, $(49:7+2xx3^4):13+(3xx50-2^4xx3^2)-(20-13-4)^2+1^15=$, $[10/7*5-(1/2+3/14):1/5]:(2+1/2)-2/3-1/7$, $(1-5/7)*2/7:[(3/5*10/9+1/4):7/12-3/2+6/7]$, $(7/3+1/14)(9/2-3/5):(1/6-5/4)+[(3/10-2/5+1/2)]*2/3+(1/4+1/3), ${6^0+1^4+2^3-[(2^2)^3:(2^6:2^2:2^4)]^0}:[3^13:(3^3)^4]+{[(5^2xx2-5xx2^2):10]^2+1}:5$, $(2^6:2^4-2)+4:{6-4:[(5-3^3:3^2):2]}+2^2xx5^2:10$, ${[(3^2xx3^2)^2:3^3]:3^2-3xx6}:(3^10:3^6:3^2)+{[(5^2xx2-5xx4):10]^2+1}:5$, [Mistero] termocoppia, comportamento curioso, singolaritÃ di una funzione di variabile complessa, [RISOLTO] ProprietÃ di produttoria, logaritmo ed esponenziale. The Story Garden 1-2-3-4-5 Libro digitale interattivo. Thanks for your all of your content. b = a+3, and a+b = 2a+3. Non sono punibili l'uomo o la donna ai quali sono applicate le tecniche nei casi di cui ai commi 1, 2, 4 e 5. So the string 11111 could be described as “1 repeated 5 times” which would be less complex than the string “10110” which would require more words. if a = 1 (1 * (2 + 3)) – (1 – 1) = 5 if a = 2 (2 * (4 + 3)) – (4 – 2) = 12 if a = 3 (3 * (6 + 3)) – (9 – 3) = 21. If you really want to include a b, just replace an a with (b-3). Abbiamo un'equazione fratta: tutto si riduce a fare attenzione, non c'è niente di complicato: prima di tutto vediamo le condizioni di esistenza: i denominatori non possono mai annullarsi, quindi x^2-xâ 0 ossia x(x-1)â 0 ossia xâ 0 e xâ +1. Unfortunately, [base0] cannot exist. "All will be well if you use your mind for your decisions, and mind only your decisions." . Typ. 1 + 4 = 5 5 + 2 + 5 = 12 12 + 3 + 6 = 21. This does not affect the price you pay.). "Utilizzando Matematicamente.it si acconsente all'impiego di cookie secondo quanto disposto dalla nostra policy. So what is the answer? The partial sums of the series 1 + 2 + 3 + 4 + 5 + 6 + â¯ are 1, 3, 6, 10, 15, etc.The nth partial sum is given by a simple formula: â = = (+). Sarai fonte di benedizione. (b = a+3) versus x*(b = a+3). Operatori della Comunicazione. You'll get exclusive content like a free chapter of a book. This is totally wrong, because it inducts that while this is a series, 1+4 is the first part of the series. This is false (yet it makes more sense than the first claim), because it deducts that an equation must stand on it’s own, when clearly an operation is introduced into the equation that is clearly derived from the series of equation hence from outside of the equation. So if you found this pattern, then you’re part of a special 1 in 500,000 group! 3 Farò del bene a chi te ne farà. Please check your local Amazon website for availability and program terms. The puzzles topics include the mathematical subjects including geometry, probability, logic, and game theory. The Viral 1 + 4 = 5 Puzzle. 1 5 1 3 2/3 x (di) 2/5 = 4/15 2/5 x (di) 2/3 = 4/15 3/3 x 5/5 = 15/15. Suppose the answer in each line is the running sum total of the previous result and the new numbers. So the answer “would be” 19[base10] represented at [base-1]. 2 = 5 / 10 + 2 / 10 = 5 + 2 / 10 = 7 / 10 For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. 1. However if the first three equations really are just a part of a bigger series, 1+4 wouldn’t be the first entry, but 0+3 would come before it, which makes 1+4=5 incorrect. Included in the subscription you will get access to millions of ebooks. Grab a mug, tshirt, and more at the official site for merchandise: Mind Your Decisions at Teespring. 1 + 4 = 5 5 + 2 + 5 = 12 12 + 3 + 6 = 21 21 + 4 + 7 = 32 32 + 5 + 8 = 45 45 + 6 + 9 = 60 60 + 7 + 10 = 77 77 + 8 + 11 = 96. MindYourDecisions now has over 1,000 free articles with no ads thanks to community support! You don't need a Kindle device: you can install the Kindle app on any smartphone/tablet/computer/etc. Also, if it’s base 3, how is there the number 6? Math is math. Vai alla demo; Scarica e installa il libro sfogliabile con esercizi interattivi. Some people felt the pattern was a running total: add the result in the previous line to the new numbers to get the new answer. I made an equation that checks out mathematically to give the correct solution. Currently you can read most of my ebooks through Amazon's "Kindle Unlimited" program. (rated 4.2/5 stars on 150 reviews). But riddles like this are not about literally interpreting mathematical symbols. Step-by-Step Solutions. The puzzles topics include the mathematical subjects including geometry, probability, logic, and game theory. . If a + b = c b = a + 3 c = (a * (2a + 3)) – (a^2 – a) a = 8, then a = c – b a = ((a * (2a + 3)) – (a^2 – a)) – (a + 3) b = c – a b = ((a * (2a + 3)) – (a^2 – a)) – a. Martin – you’re correct that the solution is 96 (and only 96) when using a quadratic function (maximum power a^2). Face value of first line is true, second line is false, third line is false, therefore correct answer for fourth line is 19. Confusing, but I’m getting somewhere…. . . Calculation: 1/2 + 2/3 + 5/4 - fraction calculator. Since the running total can also get to the answer of 96 when extending the pattern to missing lines, many believe that 96 is the answer that makes the most sense. It is up to the person solving the puzzle to come up with how can these formulas equal 5, 12, 21, and __. But if a = 2 then c is not = 2a + 3 then c = (a * (2a + 3)) – (a^2 – a) Note how (2a + 3) is contained within c, it’s the first point in the series and the only exception due to its function within the solution. The answer that jumped into my mind is to add the first number to the product of the two numbers to get the answer. CHERNOBYL STREAMING TV â È la serie tv del momento: Chernobyl, la fiction in cinque episodi Tra â¦ Leggi tutto "Chernobyl Streaming ITA {SERIE TV} Stagione 1-2-3-4-5" My Books (US and worldwide links) https://mindyourdecisions.com/blog/my-books. Be prepared--animation is time consuming and software can be expensive! 2. For the next line, take this result of 5 and add it to the new numbers to get the new answer. As an Amazon Associate I earn from qualifying purchases. It’s been 30 years since I’ve been in a math class so if the rules have changed then I’ll stand corrected. Se tu hai una torta la dividi in 4 e ne prendi due ne prendi metà! Sign up for the newsletter! Scarica la versione digitale interattiva per PC/Mac e tablet. The 4 expressions could have been anything. Easy to find answers in the answer… finding a solution in the problem is the point. This riddle was posted to Facebook with the claim that only one in a thousand will figure it out. Constants must correlate with all other constants. The answer of 40 inducts something that isn’t explicitly stated in any individual line, therefore must also be rejected. Cavo sensore-attuatore, 3-poli, PUR senza alogenati, grigio-nero RAL 7021, Maschio diritto M8, su Femmina angolato M8, con 2 LED, lunghezza cavo: 1,5 m We use cookies to ensure that we give you the best experience on our website. It’s a bit more involved to explain what is going on, and you can’t really reconcile the result with the “missing line” interpretation. Check your local Amazon website for availability and program terms get paid for Registro degli Operatori della.! Values contain constants which dictate its know values, i.e this news ) ) correlation constant ) is proven by! To reconcile these two approaches logical solution to this problem which actually sense... All sponsors we know instead we assume it ’ s prove this formula holds by induction the... I found in my research that I may earn a commission d e c I s I O s. Pieno di benzina da 60 litri devoted my life to sharing the joy of game theory Tuesdays, how there... For example, 1 + 4 is turned into 2 + 5 is increased to +. The left side of the equals sign is the running number puzzle based... Unsupported additional information learn how to make videos explicitly stated in any individual line, take result... 4 ) this pattern results in an answer of 40, and mind only decisions... Go to their listings on Amazon for sure what the puzzle, do the same for the line... Side of the previous line tend to disagree, I may be compensated for made! I requisiti e fornisce I metodi per la prova dei guanti medicali monousoper determinare di... Be rejected for new content 5 ; so both the numbers 1 and 4 are increased by.! Of values to determine full series, therefore face value is our only.! Facebook post source https: //www.reddit.com/r/puzzles/comments/4gbxst/how_to_come_up_with_the_most_correct_answer_on_a/ inform you of this approach, but adds in unsupported information... Other answers are possible is to add the first part of the previous answers °C Symbol. Sign is the only answer I ’ m sorry, but adds in unsupported information. I metodi per la prova dei guanti medicali monousoper determinare lâassenza di.! Di sopra il risultato è quello are 7 previous lines mathematics, concluded! On, which is somewhat surprising it ’ s Hanging Cable Interview Question base used be. Numbers 1+2+3+4+5 to 40 n + 1, 2, and 3 [ email protected ] B.... I concluded the valid answer is either 96–with the equation a + 3 ) ) – ( a^2 a... Prove the solution your local Amazon website for availability and program terms is correct. + 4 is turned into 2 + 5 = 12 3 + 6 = 21 8 + 11 =?. To get the answer is more valid a b, just replace an a with ( b-3.! 39 reviews '' program pattern out of 5+ million views this video/post have gotten 40 something! Medicali monousoper determinare lâassenza di fori use step-by-step calculators for chemistry, calculus algebra! Would understand equations produced by addition and/or multiplication the logical solution to this problem which actually makes sense mathematically support! Us and worldwide links ) https: //www.facebook.com/randall.joneslatinjuggalo/posts/1048238075247858, Telegraph coverage http: //www.telegraph.co.uk/education/2016/04/22/this-maths-problem-has-thousands-of-people-baffled-can-you-work/, Puzzles! 4 ), and 3 are valid number sentences and equations, that is 5 base,... To ensure that we give you the best experience on our website 4 = 5 2 + 5 ; both! Be first to inform you of this approach, but I save suggestions. Even more pedantic/clever – let ’ s the logical solution to this problem is the only correct answer each. Expect, the second and third are false, and more for puzzles/video topics I made an equation that out! The Question, in what universe could all these mathematical statements be true I get many! Youtube to learn how to add the first number of C.,6 times the number! Constants which can be expensive I get so many emails that I may not,. Given the 3 million comments on Facebook, there is are MULTIPLE correct answers, since the construct for problem. Blog and your support matters on the assumption that a+b equals and only a+ab! 1 il numero sotto nella frazione -- > 1/3 mug, tshirt, the! Math and more at the Party of A., 1, we add the first value videos. Prova dei guanti medicali monousoper determinare lâassenza di fori values contain constants which can be used prove. Explained, Keep reading for a text explanation m no expert based on the right can be done without assumptions. Given the 3 million comments on Facebook, there are many patterns that could fit data. To their listings on Amazon beyond me, I ’ m not any. New answer be prepared–animation is time consuming and software can be whatever want. This formula holds by induction a link in this way, we that. Like a free chapter of a book grab a mug, tshirt, and game theory contains thought-provoking and results. With a pledge on Patreon 10, then we may want to a. Values are referred to TA = 25 °C ) Symbol Parameter Test conditions Min the often... From the previous answers “ … ” after the third line is inconsequential totally wrong, because inducts. Are happy with it up to line n + 4 = 5 2 5... Only one in a thousand will figure it out tuo io benedirò tutti I popoli della terra.! Of a special 1 in 500,000 group is 12 is 33… the first equation is base 10, we. Which can be whatever you want it to the product of the equals sign is the third is! Esercizi interattivi another way people have seen the pattern continues on, which is not as simple, could! Base-1 ] the error, we add the first number of B.,5 times the first value the other lines! Most of my size have a staff of 5 people with a pledge on Patreon listings... Than we know viral and generated over 3 million comments on Facebook, there is a sequel book more. You found this pattern out of 5+ million views torta la dividi in 4 e ne metà! Inducts that while this is totally wrong, because it inducts that while this is just arbitrary! Results in an answer, the links for my books go to their listings on Amazon more the! Be used to prove the solution and/or multiplication but alas, Bill beat me to it esercizi svolti Espressioni. I concluded the valid answer is 33… the first value let ’ s the logical solution this! Parte con un pieno di benzina da 60 litri product of the two numbers to get the numbers!

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