So for me, the above is also fine. The first equation sets up the whole math puzzle. 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. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. If you have $k$ weights with $n$ possible positions, then the total possible number of output is naturally going to be $n^k$. How to improve undergraduate students' writing skills? However, somewhere in there are the defected chocolate/s. Unknown June 17, 2020 at 4:37 AM. This has an interesting tie-in to base 3. PICTURE    We get 17 by placing 9 and 1 in the left pan and 27 in the right pan. Light Weight is a puzzle in ProfessorLayton and the CuriousVillage. For example, with a single weight weighing $2$ pounds, we can find weights within the range of $1$ to $3$. The same process of elimination will find the counterfeit coin. You must determine which is the odd one out using an old fashioned balance. Weigh (1 ball vs. 1 ball) both balls of the 2 balls set. MAINTENANCE WARNING: Possible downtime early morning Dec 2, 4, and 9 UTC…. What weight of Weighing scale bars shop keeper should buy? What is the weight of each animal? Three pairs of shoes added together equal thirty. Notice each weight is a power of 3. The answer is 2. Puzzle 2: Mystery Weight Loss. Not all people take the same time to cross the bridge. Weighing III. Since one-quarter of the iron block weighs three-quarter of a pound, the whole the iron block will weigh (3/4 * 4 pounds). Firstly let me stress that this puzzle is very difficult, and worse the answer is not particularly satisfying. Why do exploration spacecraft like Voyager 1 and 2 go through the asteroid belt, and not over or below it? Saturday, December 5, 2020. Let w = 17. w + 40 = 57 = 2010 base 3. EQUATION    TRIANGLES COUNTING    HUMOUR    PROBABILITY    weight on the left side for the scale to balance. 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 SBI PO, IBPS PO. AKBAR & BIRBAL    Answer to Riddle #65: 9 Coins, 1 Odd one, 2 Weighings. What are the fewest weights you need to balance any weight from a triangular seesaw? By clicking âPost Your Answerâ, you agree to our terms of service, privacy policy and cookie policy. REBUS    The Great Weights Puzzle. Puzzling Stack Exchange is a question and answer site for those who create, solve, and study puzzles. MATHS    How can you come out dry from the Sea of Knowledge? Of course, subtracting 1 from each coefficient is equivalent to subtracting 1111 base 3 = 40 base 10. About This Quiz & Worksheet. Reasoning Questions, SBI, IBPS, RRB, RBI, LIC, IPPB. It can be in the left pan, right pan or off the scale. A Computer Science portal for geeks. Do the axes of rotation of most stars in the Milky Way align reasonably closely with the axis of galactic rotation? Asking for help, clarification, or responding to other answers. It only takes a minute to sign up. Five of those bags contain only true coins, the rest of them contain fake coins. Age 14 to 16 Challenge Level: This problem follows on from 9 Weights You have twelve weights, one of which is heavier or lighter than the rest, but you don't know which one is heavier or lighter, and a balance. US passport protections and immunity when crossing borders. Unfortunately, they have only one torch and the bridge is too dangerous to cross without one. Subtracting one from each column gives the four column numbers for 0 to 40 using -1, 0, and 1 as coefficients. Questions 3 & 5 are quite easy. Bright Side. Now the question is how many minimum weights and names the weights you will need to measure all weights from 1 to 1000. Instead it will gain it for good. Then, for those two weights, we get $2(4) + 1 = 9$, and they can balance up to $1 + 3 + 9 = 13$ pounds. The king listens in while the wise men consult each other to make sure they don't devise a â¦ 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. But one bag is full of â¦ I've also found a lot of. Explanation: This post is about Weights and Measures Test Questions and Answers for NTS, PPSC, CSS, FPSC, PMS, OTS, PTS and other job tests. CIVILSERVICE    The king will then move on to the next wise man and repeat the question. Hi Rich, Can you solve this problem? 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. 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. Wonder. However, one of the weights in the group is slightly lighter than the rest. It is not a good way to be introduced to my site. 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. 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. 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. One day I found this little e-mail in my inbox. Now the question is how many minimum weights and names the weights you will need to measure all weights â¦ Use MathJax to format equations. The highest base 3 number = 2222 = 80 base ten. SERIES    Within in seconds he instantly loses 20 pounds. 65. 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. Looking around, I haven't found any site policies on spoiler tags. STORY    Twist in floppy disk cable - hack or intended design? Secure Sites/Puzzles is an information page. In total, you will have 55 chocolates now. 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. Bag of Coins. How can I upsample 22 kHz speech audio recording to 44 kHz, maybe using AI? So, starting with the 1-lb. That means the third man standing on the sidelines by default weights more than the â¦ The amounts can easily be changed to suit year group and ability. Thanks for contributing an answer to Puzzling Stack Exchange! For example: if shopkeeper has weights 1 and 3 then he can measure 1, 3 and 4 only. How did he lose the weight? The most unique type of puzzles to know the weight of your brain. Each pair of sneakers represents the number 10. RIDDLE    By using our site, you acknowledge that you have read and understand our Cookie Policy, Privacy Policy, and our Terms of Service. site design / logo © 2020 Stack Exchange Inc; user contributions licensed under cc by-sa. 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¦ This puzzle goes a step further from the previous one. on the left side. My sister likes to send me puzzle emails every once in a while. To learn more, see our tips on writing great answers. Real life examples of malware propagated by SIM cards? 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. Replies. Best of all they fit in the back of your vehicle and you have plenty of â¦ weight on the right side and the 1-lb. Word problems involving calculating weight with a Willy Wonka theme. (1 + 2 + 3 + ..... + 10) We need at least 4 weights. Here is an example. 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. Puzzle 3: Stolen Goods. 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 :- 3 pounds That would give a weight with coefficients -1, 0 and 1. 1 Puzzle 2 Hints 3 Solution 3.1 Incorrect 3.2 Correct Here we have eight small weights that all look the same. Did something happen in 1987 that caused a lot of travel complaints? There are 9 coins, all except one are the same weight, the odd one is heavier than the rest. Once you show children's puzzles to adults, most of them immediately get a brain freeze. Reply. Let us begin by labelling boxes as 1, 2, 3 and so on till 10. 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. The trick here is that you can put weights on both sides of the scale. Inspiration. Data from v1.38 - An in-depth spreadsheet containing datamined information as well as in-game research regarding â¦ Use 3 weighings on a balance scale to tell what stone has a different weight and if it is heavier or lighter. So the weights - 1, 3, 7, 12, 43, 76, 102 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. It challenges everything you think you know about the simple mechanics of ropes, weights and pulleys. I see it as âhave a break and think if you can get the next piece by yourselfâ opportunity. There are 12 stones, 11 of equal weight, 1 of unequal weight (either heavier or lighter). This is a beautifully simple puzzle, originally presented by Lewis Carroll, which is simple to describe but fiendishly difficult to solve. Reply Delete. The four weights we need for $n=40$ are 2, 6, 18 and 54. How were drawbridges and portcullises used tactically? What Is the Weight Brain Teaser. The puzzles here are related to weight. TRIVIA    It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview Questions. You have 10 bags full of coins. We have 10 identical bottles of identical pills (each bottle contain â¦ 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. A woman enters a big box department store and fills her shopping cart to the top. Either way, put the 6 legitimate coins aside. 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. You have been warned. Bright Side invites you to stretch your brain a little and check if you can cope with questions from children's books. New Popular. This answer seems to be extending the already known and accepted solution with a different explanation (apparently motivated by. 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. 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. 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. SQAURE COUNTING    Made this for a â¦ They are useful in keeping you on the road in adverse weather conditions. @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? Let us designate the left pan as negative and the right pan as positive. weight on the right side and the 3-lb. The puzzle is if the shopkeeper can only place the weights in one side of the common balance. 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. Making statements based on opinion; back them up with references or personal experience. One could possibly combine some of the above into single ones (i.e. 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). Utilising this, the maximum values for any integer weight up to $n$ pounds is only $\lceil\log_3(n)\rceil$ rather than $\lceil\log_3(2n)\rceil$. Now either the scale will balance or the scale will not balance and one side will be heavier. So lets try out some of them. You may use the balance twice. They are generally ineffective, and some can even be dangerous. Creativity. Minimum number of weights you need to define any integer weight from 1 to N, Using a balance to determine any weight with a set of weights weighing powers of 3, What's the fewest weights you need to balance any weight from 0,5 to 40 pounds, on a modified balance scale. ð° ðµ Itâs one of the most popular â¦ Box Based Puzzles In Reasoning Bank PO. This will also allow you to find weights up to a $(2 + 6 + 18 + 54) + 1 = 81$ pounds. In this video you can learn how Puzzle WEIGHTS® can help you gain traction on the road. 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. 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. The next important detail is that you won't have a "1" in the same "place" in both numbers. Suppose we take a base 3 representation of the weight and subtract 1 from each of the coefficients. Clearly an inequality is not balanced. Now pick one chocolate from box 1, two chocolates from box 2, three from box 3 and so on. and 1-lb. 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. CIPHER    We adopt the following strategy. The puzzle is this: This is inspired by the following question over at Computer Science Stack Exchange: Information-theoretic limits for a weighing puzzle You are given 11 coins with labels 1, 2, 3, ... up to 11.