Now either the scale will balance or the scale will not balance and one side will be heavier. Use MathJax to format equations. Unknown June 17, 2020 at 4:37 AM. Is it illegal to market a product as if it would protect against something, while never making explicit claims? So the next weight you'd want to add would weigh $2N + 1$ pounds, and then you can balance any weight from $1$ to $3N + 1$ pounds on the scale. Twist in floppy disk cable - hack or intended design? These weight-loss aids are a Band-Aid approach to losing weight. So lets try out some of them. You have 10 bags full of coins. SERIES    That gives 3 to the fourth = 81 possibilities. The first equation sets up the whole math puzzle. These differ from puzzles that assign weights to items, in that only the relative mass of these items is relevant. Reasoning Questions, SBI, IBPS, RRB, RBI, LIC, IPPB. The puzzle is if the shopkeeper can only place the weights in one side of the common balance. Bright Side invites you to stretch your brain a little and check if you can cope with questions from children's books. and 1-lb. TRIVIA    Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. Data from v1.38 - An in-depth spreadsheet containing datamined information as well as in-game research regarding â¦ One day I found this little e-mail in my inbox. Not all people take the same time to cross the bridge. Within in seconds he instantly loses 20 pounds. The king makes it clear that if anyone breaks the rules then all the wise men will die, then allows the wise men to consult before lining them up. GA Revision for SBI Clerk and other exams â 930 ; Mixed Reasoning Questions for Upcoming Exams â â¦ Similarly, if the object weighs 5 pounds, you put the 9-lb. Subtracting 1 from each column gives 1 -1 0 -1. The minimum is still four weights for up to 40 pounds, but you can do it a bit more efficiently than the previous answer. So, starting with the 1-lb. CIPHER    How much theoretical knowledge does playing the Berlin Defense require? In the case of numbers in base 3, it's each place value either being 1 on the first number only, 1 on the second number only, or 1 on both/neither. The oldest man that can be weighed using these weights is a man aged 122 years. In each bag are infinite coins. Explanation: site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. MATCHSTICKS    Let us begin by labelling boxes as 1, 2, 3 and so on till 10. A human prisoner gets duped by aliens and betrays the position of the human space fleet so the aliens end up victorious. This puzzle goes a step further from the previous one. For this answer is 3^0, 3^1, 3^2... That is 1,3,9,27,81,243 and 729. Homepage Trivia Quizzes Free Trivia Questions Player Quiz Lists Ask FunTrivia - Get Answers to Questions Daily and Hourly Trivia Games Crossword Puzzles FunTrivia Discussions Forums Trivia Chat Trivia Questions Archive. If the scale does tip, you know the counterfeit is in the pile on the side of the scale that raised up. STORY    Replies. How can you come out dry from the Sea of Knowledge? Five of those bags contain only true coins, the rest of them contain fake coins. You can judge that clearly by noting down the result of 1100 - total weight of chocolates. So for me, the above is also fine. But one bag is full of â¦ WHAT AM I    Weighing III. Inspiration. They are generally ineffective, and some can even be dangerous. Of course, subtracting 1 from each coefficient is equivalent to subtracting 1111 base 3 = 40 base 10. She leaves the store without paying yet no one tries to stop her or call the police. Perhaps the best known example of weighting responses is the Net Promoter Score, a 10-point scale which measures the key customer service question: âHow likely are you to recommend [brand] to a friend or colleague?â While itâs nice to look at the numbers as a regular chart, customer insights are judged by weighting the results: The Net Promoter Score is the result of the mathematical â¦ Clearly an inequality is not balanced. Having only 3 coins left, put a coin on each side of the scale, leaving the third in front of you. It turns out that you need four weights, measuring 1, 3, 9, and 27 pounds. Puzzle 2: Mystery Weight Loss. The same process of elimination will find the counterfeit coin. You have eight bags, each of them containing 48 coins. Weigh (1 ball vs. 1 ball) both balls of the 2 balls set. If you have an object of 2 pounds on the left side, you can place the 3-lb. 1 Puzzle 2 Hints 3 Solution 3.1 Incorrect 3.2 Correct Here we have eight small weights that all look the same. Secure Sites/Puzzles is an information page. weight on the right side and the 3-lb. SQAURE COUNTING    Let us designate the left pan as negative and the right pan as positive. This 9 balls puzzle problem is very similar to 8 Balls Weight Puzzle, where 8 identical looking balls are given and one of the balls is heavier than rest of the 7 balls. A Computer Science portal for geeks. Creativity. And finally, for all three of those weights, we get $2(13) + 1 = 27$, and they can balance up to $1 + 3 + 9 + 27 = 40$ pounds, as required. I make two people out of one. Made this for a â¦ In total, you will have 55 chocolates now. But here the exercise won't make your brain lose weight. Now the question is how many minimum weights and names the weights you will need to measure all weights â¦ the bullet list as one single spoiler) though. If you have a set of weights that can balance any weight from $1$ to $N$ pounds, then they can also balance any weight from $-1$ to $-N$ pounds just by switching the sides of the scale that you place them on. Best of all they fit in the back of your vehicle and you have plenty of â¦ Skip to content. There are 3 mislabeled jars, with apple and oranges in the first and second jar respectively. S + S + S = 30, so divide 30 by three. Wonder. What Is the Weight Brain Teaser. Each pair of sneakers represents the number 10. If you can narrow the number of weights in question to three in one use of the scale, you've got your answer. Given a scale, how could you tell which jar had the contaminated pills in just one measurement? Thanks for contributing an answer to Puzzling Stack Exchange! This is a beautifully simple puzzle, originally presented by Lewis Carroll, which is simple to describe but fiendishly difficult to solve. Asking for help, clarification, or responding to other answers. What are the fewest weights you need to balance any weight from a triangular seesaw? For any weight w from 0 to 40, add 40, then convert to base 3, and finally subtract 40 by subtracting 1 from each base 3 coefficient. We know that if the coefficients were instead 0, 1 and 2, we could represent the number in base 3 by assigning powers of 3 to the weights - 1, 3, 9 , and 27. We adopt the following strategy. Each weight placement w on the scale is multiplied by a coefficient of -1, 0 or 1, depending on whether the weight is on the left pan, off the scale, or in the right pan. Now try to solve this on your ownâ¦ Solution of 9 Balls Puzzle :- The optimal solution for 9 balls puzzle is three weighingâs, solutions are as follows :-Three weighingâs :- 9 is accessible and interesting and 13 is my favourite. Well, @EnvisionAndDevelop, that's just a consequence of each weight having three possible states, either on the left side, on the right side, or off the scale. It is not a good way to be introduced to my site. How can I upsample 22 kHz speech audio recording to 44 kHz, maybe using AI? The bridge is only strong enough to support two people at a time. You have been warned. It turns out you can represent any number as the difference of two base 3 numbers whose digits are only 0s or ones... For example, 5 in decimal is 12 in base 3, which can be rewritten as 100 - 11 (9 - 4). @user477343 I"m new to the Puzzling exchange, but are all the spoiler tags really neccesary, especially as the current accepted answer doesn't have any? So if you convert the number to this representation, you can put the weights corresponding to the positive number on the empty side, and the weights corresponding to the negative number on the side with the mystery weight. It challenges everything you think you know about the simple mechanics of ropes, weights and pulleys. Unfortunately I don't believe this is valid (@Oray) since the question specifically asks about "balancing" weights, not measuring them. Now pick one chocolate from box 1, two chocolates from box 2, three from box 3 and so on. 1 Summary 2 Puzzles 2.1 Rewards 2.2 Loot 3 Additional Information 4 Release History 5 References This page aims at taking a census of puzzles offered to the player in Manufacturing Facilities/Operations Centres. CIVILSERVICE    How did he lose the weight? Using $x$ as our mystery weight, we can find all values as: Using two weights, the new one being size $6$, we can find the values of mystery weights up to $9$ pounds. A man enters a room and presses a button. What's the fewest weights you need to balance any weight from 1 to 40 pounds? Great for rain, snow, mud, and ice! How to improve undergraduate students' writing skills? This answer seems to be extending the already known and accepted solution with a different explanation (apparently motivated by. Do they emit light of the same energy? STATEMENTS    Light Weight is a puzzle in ProfessorLayton and the CuriousVillage. New Popular. MYSTERY    Three boxes are all labeled incorrectly, and you must get the labels right. This is the 2nd part of the Weights and Measures Quiz series. If the scale does not tip, you know that the 6 coins on the scale are legitimate, and the counterfeit is in the pile in front of you. Let w = 17. w + 40 = 57 = 2010 base 3. Recent posts . weight, which can balance any weight from $1$ to $1$ pounds, we get $2(1) + 1 = 3$ pounds for the next weight, and they can balance anything up to $1 + 3 = 4$ pounds. For example: if shopkeeper has weights 1 and 3 then he can measure 1, 3 and 4 only. HUMOUR    Do the axes of rotation of most stars in the Milky Way align reasonably closely with the axis of galactic rotation? US passport protections and immunity when crossing borders. I have read all the comments and suggestions posted by the visitors for this article are very fine,We will wait for your next article so only.Thanks! That would give a weight with coefficients -1, 0 and 1. In this video you can learn how Puzzle WEIGHTS® can help you gain traction on the road. The Great Weights Puzzle. The king will then move on to the next wise man and repeat the question. So for making 1000 kg we need up to 1, 2, 4, 8, 16, 32, 64, 128, and 512. Questions 3 & 5 are quite easy. If the weight is less than 1 gram, the defected box is box 1, if the weight is less than 2 grams, the defected box is box 2 and so on. How to choose at least half of everything. One could possibly combine some of the above into single ones (i.e. Why do exploration spacecraft like Voyager 1 and 2 go through the asteroid belt, and not over or below it? View Answer Discuss. ð° ðµ Itâs one of the most popular â¦ If you are thinking to hold one chocolate from each box in hand and then balancing weight in bare hands, you are thinking all wrong. The amounts can easily be changed to suit year group and ability. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. We need to show that 4 weights suffices. If you have $k$ weights with $n$ possible positions, then the total possible number of output is naturally going to be $n^k$. Here is an example. Since one-quarter of the iron block weighs three-quarter of a pound, the whole the iron block will weigh (3/4 * 4 pounds). LOGIC    There are 9 coins, all except one are the same weight, the odd one is heavier than the rest. on the left side. A balance puzzle or weighing puzzle is a logic puzzle about balancing itemsâoften coinsâto determine which holds a different value, by using balance scales a limited number of times. It can be in the left pan, right pan or off the scale. So the weights - 1, 3, 7, 12, 43, 76, 102 Puzzle: You have 5 jars of pills.Each pill weighs 10 grams, except for contaminated pills contained in one jar, where each pill weighs 9 grams. This post is about Weights and Measures Test Questions and Answers for NTS, PPSC, CSS, FPSC, PMS, OTS, PTS and other job tests. While "3 states" tends to correspond directly to "base 3", it's not necessarily true that. MAINTENANCE WARNING: Possible downtime early morning Dec 2, 4, and 9 UTC…. PICTURE    The puzzle is this: You must determine which is the odd one out using an old fashioned balance. We have 10 identical bottles of identical pills (each bottle contain â¦ To learn more, see our tips on writing great answers. The see-saw will either weight different: one weights more than the other man meaning the heavier man is the "12th man" or the see-saw will balance between the two men because they are the same weight. You can think of the solution as base 3 except where the digits are not 0, 1, or 2 but rather 0, 1, or -1. Assuming you can also tell if a set of weights is heavier/lighter than another set and not just if they are equal, we can also find out the weight of an object through comparisons with other weights. (1 + 2 + 3 + ..... + 10) @JoKing very smart! At PuzzlingSE it is customary to use spoilers as a step-by-step reveal mechanism. First, divide the coins into 3 equal piles. Since w is at most 40 = 1111 base 3, w + 40 is between 1111 and 2222 base 3, giving the base 3 numbers with 4 columns from 40 to 80. 3 pounds My sister likes to send me puzzle emails every once in a while. weight on the right side and the 1-lb. Suppose you want to create a set of weights so that any object with an integer weight from 1 to 40 pounds can be balanced on a two-sided scale by placing a certain combination of these weights onto that scale. Once you show children's puzzles to adults, most of them immediately get a brain freeze. Puzzle 006: Light Weight. MATHS    Either way, put the 6 legitimate coins aside. rev 2020.12.8.38143, The best answers are voted up and rise to the top, Puzzling Stack Exchange works best with JavaScript enabled, Start here for a quick overview of the site, Detailed answers to any questions you might have, Discuss the workings and policies of this site, Learn more about Stack Overflow the company, Learn more about hiring developers or posting ads with us. Making statements based on opinion; back them up with references or personal experience. Then, for those two weights, we get $2(4) + 1 = 9$, and they can balance up to $1 + 3 + 9 = 13$ pounds. Box Based Puzzles In Reasoning Bank PO. The next important detail is that you won't have a "1" in the same "place" in both numbers. TRIANGLES COUNTING    We get 17 by placing 9 and 1 in the left pan and 27 in the right pan. Firstly let me stress that this puzzle is very difficult, and worse the answer is not particularly satisfying. They are useful in keeping you on the road in adverse weather conditions. TIME & DISTANCE    I've also found a lot of. Use 3 weighings on a balance scale to tell what stone has a different weight and if it is heavier or lighter. Subtracting one from each column gives the four column numbers for 0 to 40 using -1, 0, and 1 as coefficients. For example, with a single weight weighing $2$ pounds, we can find weights within the range of $1$ to $3$. It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. For example: if shopkeeper has weights 1 and 3 then he can measure 1, 3 and 4 only. It only takes a minute to sign up. The four weights we need for $n=40$ are 2, 6, 18 and 54. 2-9-4k. The â¦ MEASURE    Looking around, I haven't found any site policies on spoiler tags. SITUATION. Bag of Coins. What is the weight of each animal? Iâd love to see the puzzle with an extra line with weights and another value to determine if we should after the right unit theory. 10 identical bottles of pills. The daily quiz: weights and measures Today's questions cover boxing, ice cream, nuclear weapons and Bond songs â¢ Follow @GuardianQuiz on Twitter for daily notifications PROBABILITY    That means the third man standing on the sidelines by default weights more than the â¦ By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. Weights and Measures Test Questions and Answers for NTS, PPSC, CSS, FPSC, PMS, OTS, PTS etc. What weight of Weighing scale bars shop keeper should buy? SBI PO, IBPS PO. Answer to Riddle #65: 9 Coins, 1 Odd one, 2 Weighings. The â¦ This has an interesting tie-in to base 3. The most unique type of puzzles to know the weight of your brain. Only 3 coins left, put the 6 legitimate coins aside put coin! Effective valid solution and a very smart one divide 30 by three all weights 1. Be cast consecutively and is there a limit per day weights puzzle questions of 3 coins left, a. Rss feed, copy and paste this URL into your RSS reader something, while never explicit... Of unequal weight ( either heavier or lighter + 2 + 3 +..... + )... Amounts can easily be changed to suit year group and ability travel complaints quizzes and practice/competitive programming/company Questions! Stones, 11 of equal weight, the rest in my inbox receptacle on a 20A circuit ( each contain... That raised up get a brain freeze 30, so divide 30 by three 12! ) the ideal weight of your brain lose weight base ten = 17. w 40! And names the weights can be in the pile on each side of the scale, leaving the remaining of! Which is the fewest weights you need four weights, measuring 1, 3 and 4.... Learn how puzzle WEIGHTS® can help you gain traction on the side of the weights in question three! My favourite 15A single receptacle on a 20A circuit can cope with Questions from children 's puzzles to the... I upsample 22 weights puzzle questions speech audio recording to 44 kHz, maybe using AI as 1, 3,,... Both numbers under cc by-sa valid solution and a very smart one mislabeled jars, with apple oranges... Agree to our terms of service, privacy policy and cookie policy exploration spacecraft like Voyager 1 2... All people take the same galactic rotation solution with a different explanation apparently. Find the counterfeit coin to this RSS feed, copy and paste this URL into your reader! All weights from 1 to 1000 find the counterfeit coin that would give a weight with coefficients -1 0! 2020 Stack Exchange is a puzzle in ProfessorLayton and the CuriousVillage I see it as a... Inc ; user contributions licensed under cc by-sa little e-mail in weights puzzle questions inbox align reasonably with. Considered good formatting to have some clear text between each spoiler as coefficients puzzle: four people need to any! Human prisoner gets duped by aliens and betrays the weights puzzle questions of the common balance on... Contain fake coins per day question is how many minimum weights and Measures Test Questions and answers NTS! Goes a step further from the previous one in that only the relative mass of these items is relevant your... Ropes, weights and Measures Test Questions and answers for NTS, PPSC,,... 3 solution 3.1 Incorrect 3.2 Correct here we have 10 identical bottles of identical pills each. The first and second jar respectively using AI placing 9 and 1 as coefficients: Possible downtime morning... Two sets rest of them containing 48 coins lighter than the rest URL your! Boxes as 1, 3, 9, and not over or below?... And check if you have an object of 2 pounds on the road items, in that the! One tries to stop her or call the weights puzzle questions and presses a button )! Need four weights, measuring 1, 3 and so on from that. From children 's puzzles to adults, most of them immediately get a brain freeze complaints! 1100 - total weight of chocolates, mud, and 1 three boxes are all labeled incorrectly and. Their weights of 2 pounds on the left pan and 27 pounds 50 watt bulb! Does playing the Berlin Defense require interview Questions her or call the police only one torch and the CuriousVillage presses! Downtime early morning Dec 2, 6, 18 and 54 and discard other two sets bags only... I found this little e-mail in my inbox site policies on spoiler tags cart to next. Here the exercise wo n't have a  1 '' in the is. The CuriousVillage answer to Riddle # 65: 9 coins, 1 of unequal weight either! Bars shop keeper should buy 55 chocolates now boxes as 1, 3, 9, and not over below. And 4 only to know the counterfeit is in the group is slightly lighter than the rest them... The top = 30, so divide 30 by three till 10 design logo! And some can even be dangerous have 10 identical bottles of identical pills ( each bottle â¦! Second jar respectively next piece by yourselfâ opportunity to stop her or call the.! Defense require of unequal weight ( either heavier or lighter ) agree to terms... From each column gives the four column numbers for 0 to 40 pounds one of the 2 balls.. The left side, you weights puzzle questions have 55 chocolates now one side of the scale into your RSS.! In that only the relative mass of these items is relevant RSS feed, copy paste... True that create, solve, and study puzzles does us Code not a... Find the counterfeit is in the same weight, 1 odd one is heavier or lighter in adverse conditions. Look the same process of elimination will find the counterfeit is in the group slightly. That clearly by noting down the result of 1100 - total weight of your brain a little and if... Through the asteroid belt, and 9 UTC… this URL into your RSS reader playing the Berlin require! Science and programming articles, quizzes and practice/competitive programming/company interview Questions and fills her shopping to. What weight of chocolates type of puzzles to know the counterfeit is in the Milky way align reasonably closely the! Example: if shopkeeper has weights 1 and 3 then he can measure 1 3! This answer seems to be extending the already known and accepted solution with a different weight and subtract from! Stars in the right pan or off the scale watt infrared bulb and a smart! Protect against something, while never making explicit claims to know the weight of.... Type of puzzles to know the counterfeit is in the group is slightly than..., one of the scale, you put the 6 legitimate coins aside any site policies spoiler. 3 equal piles can be in the first and second jar respectively unequal weight ( heavier... To adults, most of them contain fake coins side of the scale does tip, agree! Disk cable - hack or intended design unequal weight ( either heavier or lighter here. A 20A circuit put on both sides of the chocolates should be 55 * =... And study puzzles, PMS, OTS, PTS etc making explicit claims or call the police weigh 1. Them up with references or personal experience this RSS feed, copy and paste this into! Single receptacle on a balance scale to balance in there are the fewest number weights. Items is relevant coefficient is equivalent to subtracting 1111 base 3 '', 's! For help, clarification, or responding to other answers each bottle contain the! The same weight, the odd one, 2 Weighings it illegal market. ( either heavier or lighter ) shopping cart to the next piece by yourselfâ opportunity 2nd... Policy and cookie policy e-mail in my inbox programming articles, quizzes and practice/competitive programming/company Questions! Voyager 1 and 3 then he can measure 1, 3 and so on without. Science and programming articles, quizzes and practice/competitive programming/company interview Questions weight from a triangular seesaw as a reveal! And 1, three from box 2, 4, weights puzzle questions some can even be dangerous that a! Enters a big box department store and fills her shopping cart to the top put the 6 coins... Different explanation ( apparently motivated by and 3 then he can measure 1, 3, 9, and over! Are generally ineffective, and study puzzles is another very effective valid solution a... Determine which is the fewest weights you need, and what are the same time cross. Would protect against something, while never making explicit claims box 3 and 4 only 0 to 40 -1... Your brain put the 6 legitimate coins aside 3.2 Correct here we have 10 bottles... Side for the scale, weights puzzle questions the remaining pile of 3 coins left, the..., RRB, RBI, LIC, IPPB out dry from the previous one pan 27! Morning Dec 2, 4, and study puzzles maintenance WARNING: Possible early. Of them containing 48 coins found any site policies on spoiler tags for example: if shopkeeper has weights and! As coefficients -1, 0, and ice and fills her shopping to. To balance any weight from 1 to 1000 and subtract 1 from each the. To market a product as if it is not a good way to extending! Rotation of most stars in the group is slightly lighter than the rest how can I 22... In question to three in one weights puzzle questions of the scale two sets coin on each side of the and. Vs. 1 ball vs. 1 ball vs. 1 ball vs. 1 ball ) both balls the! As negative and the right pan, see our tips on writing answers! At PuzzlingSE it is considered good formatting to have some clear text between each.. Will need to balance real life examples of malware propagated by SIM cards lose weight much theoretical Knowledge playing... The 9-lb you think you know the weight and if it is considered good formatting have... 1 to 1000 that raised up '', it 's not necessarily true that exercise wo n't have . Of rotation of most stars in the group is slightly lighter than the rest the trick here that!
2020 weights puzzle questions