If both side pan of balance-scale is used, Weights are : 3^ n <100 i.e. {1,2,4,8,16,32,64} = 7, If both side pan of balance-scale is used,Weights are : 3^ n <100 i.e. For 16 kg – Put 27 kg on one and 9 kg on other. Your task is to identify the unusual marble and discard it. One of those things is not putting any weights on the scale, which is good if you want to weigh a 0-pound object, so really there are only (3n – 1) arrangements. Srabon got a prime!! That is 1kg, 3kg, 9kg, 27kg and 81kg. Given a puzzle board, return the least number of moves required so that the state of the board is solved. ... Two fathers took their sons to a fruit stall. For 6 … On National Puzzle Day 2018 For the brightest brains out …, The following techniques shown below are indicative of a way …, Riddles and brain teasers excites the brain and force it …, The brain like every cell in the body is alive …, Mathematical puzzles or math puzzles are based on logics and …, Here is the collection of most mind blowing and brain …. how will you weight 2, 5,6,7,8?? A counterfeit coin weighs 11 grammes. Ragib: Yes. Left and Right have equal weight, Left is Heavier, or Left is Lighter). Either side of the scales is large enough to hold up to 12 weights. [MODIFICATION]Explanation As per “BhaiBhai” comment- For 2 Kg – On one pan put 3 kg and on the other one put 1 kg, Likewise for 5 kg – 9 kg on one pan and 1+3 kg on another pan. Cancel. Without solving, I am looking at a few sub … The Great Weights Puzzle Submitted by plusadmin on January 1, 1999 . ... Ragib: I got digits of a 2 digit number Sakib: Is it an odd? 2187 = 3^7. ... What is the minimum number of weighing operations required to measure 31 kg of wheat if only one weight of 1 kg is available? Solution: The minimum number of times seesaw will be needed is 3. All of the coins in one of these stacks are counterfeit, all the other coins are not. So, if you have n weights, there are 3n things you can do with them. question says ‘to the nearest pound’, so shouldn’t we have 0.5 pound weight too? Example 1:8 Balls,Odd ball being heavier This is the … This puzzle is a mix of weight and math puzzle. When do we call “10” while looking at number “2”? Weigh the 55 coins together. You have a balance scale with two pans on which you can compare the weight of two groups each having exactly 4 boxes. COIN PUZZLES These coin puzzles are hard, but in our opinion, the last one is the most difficult of the coin puzzles in our collection. I can remember only two of them as “Tuesday , Thursday”. Which clock works best? i have heard/read this problem before, but … 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. In error-correcting coding, the minimum Hamming weight, commonly referred to as the minimum weight w min of a code is the weight of the lowest-weight non-zero code word. Paul, Sam and Dean are assigned the task of figuring out two numbers. Now try to solve this on your own… Solution of 9 Balls Puzzle :- The optimal solution for 9 balls puzzle is three weighing’s, solutions are as follows :-Three weighing’s :- BAGS AND BEADS You are given 5 bags. -\./^\./- Do you have the answer? How much should each of the four weights weigh? The result of math class test came out. ... 11 of them are identical, and one is of a different weight. The broken weight problem: solutions and further exploration → 22 Responses to The broken weight problem. ← A gentle introduction to the 5th Polymath project. Examples: Input: board = [[1,2,3],[4,0,5]] Output: 1 Explanation: Swap the 0 and the 5 in one move. There are 10 stacks of 10 coins each. In the evening on ... Jasmine, Thibault, and Noah were having a night out and decided to order a pizza for $10. Each coin weights 10 gms. This is the solution to the Weighing Pool Balls Puzzle. These differ from puzzles that assign weights to items, in … Puzzle: There are 2187 balls, out of which 1 is heavy. For n of the form (3^k-3)/2, the above solution applies perfectly and the minimum number of weighings required is k. If the maximum uncertainty tolerance is 0.1%, and the balance's R std is 0.1mg, then the minimum weight would equal 2*0.1mg / 0.001 or 200mg. Mr. Ravinder Gulati has 3 timepieces in his house - a wall clock, an alarm clock and a wristwatch. January 1999 You are given 12 identical-looking weights, and an old-fashioned pair of balance scales. If it is impossible for the state of the board to be solved, return -1. What is the minimum number of weighings necessary to … The puzzle is if the shopkeeper can only place the weights in one side of the common balance. Each man and son bought an apple, But when they returned ... A farmer is taking her eggs to the market in a cart, but she hits a pothole, which knocks over ... Let it be simple and as direct as possible. Step 1: Divide the 12 men in 3 groups of 4 men each (A, B & C) and weigh the first group (A) against the second group (B). Jonathan says: May 1, 2010 at 4:25 pm. Check against our solution! It turned out ... A murderer is condemned to death. This entry was posted in arithmetic, challenges, number theory, puzzles and tagged puzzle, weights. The minimum is still four weights for up to 40 pounds, but you can do it a bit more efficiently than the previous answer. Input: board = [[1,2,3],[5,4,0]] Output:-1 Explanation: No number of moves will make the board solved. Solution & Explanation Q.9. what minimum number of weights does one need to be able to make measurements upto 100 kg [assuming a least count of 1 kg], and tell those weights too. The minimum number of weights required is five and these should weight 1, 3, 9, 27 and 81 pounds. We found another interesting puzzle for YOU-, Brain Development by Crazy Brain Teasers & Puzzles, Funny optical illusions to puzzle you and tease your brain, 1 to 50 Brain concentration level and focus on target Test, Five greedy pirates and gold coin distribution Puzzle. => no. Likewise for 5 kg – 9 kg on one pan and 1+3 kg on another pan. For 6 kg – 9 on one and 3 on another for 7 kg – 1 and 9 on one and 3 on another for 8 kg – 9 on one pan and 1 on another. With a fifth weight, you should be able to get up to (35 – 1)/2 =121 pounds. Then, for each arrangement there’s also its mirror image (where all the weights are switched to the opposite pan of the scale), so there are at most (3n – 1)/2 arrangements of n weights. For 15 kg – Put 27 kg on one and 9 kg +1 kg on other Some of them are not mine (and I have been quite relaxed about providing the sources), so if you would like further references simply e-mail me. Share ; Comment(0) Add Comment. {1,3,9,27,81} = 5. One of the most classic puzzles involving balls is figuring out the odd one out using common balance.There are many levels of ... problem is you will be given n balls and one of them is either heavier or lighter and you are asked to find out the minimum number of weighings using a common balance required to find out the odd one out. You have a modern scale that provides an accurate readout. You have 10 stacks of 10 gold coins. 1. Cancel . If only one side pan of the balance-scale is used,Weights are : 2^n <100 i.e. Only 4 Weights Puzzle The Puzzle: You have a balance scale with four weights. Now find the minimum number of weights so that you can measure 1 to 1000. Note that the unusual marble may be heavier or lighter than the others. 43. => number of weights required is 1 + 20 = 21 The 20 weights of 1 kg are used both above and below 20 kg and their range can again be halved. Difficult puzzle about identifying the odd coin out or 12 in three goes on an old-fashioned balance. The pirates are all ... Four days are there which start with the letter ‘T‘. similarly for 250 we will consider numbers from 3^1-3-5 i.e(1,3,9,27,81,243). By clicking "Sign up" you indicate that you have read and agree to the privacy policy and terms of service. Tuesday, Thursday what are other two days staring with T? The total weight of 4 boxes are equal to the other 4’s total, and your task is to identify these two groups. Now the question is how many minimum weights and names the weights you will need to measure all weights from 1 to 1000. otherwise it will be heavier than 2 and lighter than 3 pounds and we wont be able to tell the nearest pound. Every day in his business he has to weigh amounts from one pound to one hundred and twenty-one pounds, to the nearest pound. {1,3,9,27,81} = 5. The weight w of a code word is the number of 1s in the word. Solution: The minimum amount of measurements needed to be done will be equal to 7 times. For each weight, there are three things you can do:-put it on the left pan, the right pan, or not on the balance at all. Puzzles and Games Herein are a small collection of diversions that I find interesting, usually because their solutions are creatively simple. Step 1: Divide the 2187 balls into 3 equal groups of 729 each, let’s say C1, C2 and C3. A balance puzzle or weighing puzzle is a logic puzzle about balancing items—often coins—to determine which holds a different value, by using balance scales a limited number of times. So, take your time and try to figure them out! However, one of the stacks is defective, and that stack contains coins which weigh 9gms. 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 … Solution. I am unable to get the exact answer.Can any one tell me the way of doing it?? The one that loses a minute a day or the one that doesn’t work at all? The puzzle is if the shopkeeper can only place the weights in one side of the common balance. Update. You are allowed to use the scales three times if you wish, but no more. Bookmark the permalink. What is the minimum number of weights needed for a scale that will be able to weigh objects from the weight of one pound to 100 pounds? There are 10 beads in each of the bags. How? So the maximum weight was 125, so we need 7 weights: map (2^) [0..6]. a puzzle about minimum number of weights required, and how i by chance found its solution. Puzzle | Minimum number steps to weigh 1 kg rice with 1gm weight Last Updated: 16-01-2019 There is a bag of rice given to us and we need to get 1 Kilogram of rice from it but we have only a common balance with two pans, some vessels and a 1 gm weight. Now, eleven of the weights are indeed identical, but one is different from the rest - either heavier or lighter, but you do not know which. Hey Friend, For 2 Kg on one pan put 3 kg and on the other one put 1 kg Likewise for 5 kg , 9 kg on one pan and 1+3 kg on another pan for 6 kg,9 on one and 3 on another for 7 kg, 1 and 9 on one and 3 on another for 8 kg , 9 on one pan and 1 on another. You can weigh 1–100 range weights with weighing balance(with two pans) by just 5 standard weights. Nabila got ... Robi is a very serious student. Mr. Champakbhai has a grocery shop he has to weigh 31 kg of rice but he is having only one weight of 1 kg. All that is required now is to traverse the space of all bits (except for the numbers 126 and 127 on, though if we include those number that's just two weight changes more cause each number can be arrived to by one weight change) so that at each step we only flip one bit. Answer to Puzzle #43: 10 Piles of 10 Coins one of Which is Fake. You can use only one side of scale because you only have $0$ and $1$ digits in base $2$. You have a set of balance scales which will give 3 possible readings: Left = Right, Left > Right, or; Left < Right (i.e. Your Answer. Place 55 coins on the scale: one coin from stack #1, two from stack #2, three from stack #3 … up to ten coins from stack #10. Thusly, a 0.1mg balance would be insufficient to meet the stated accuracy requirements for this example, and a balance with a readability of 0.01mg must be used. If you used $1,2,4,8..$ kg weights, you could measure until $127$ kg only using seven different weights on one side of scale. For example, the word 11001010 has a weight of 4. Now the question is how many minimum weights and names the weights you will need to measure all weights from 1 … In four of the bags, the beads each weigh 10 grams. Because numbers $0-127$ is written with maximum seven digits in base $2$, i.e. Think before you comment!! They get the following information: Both numbers ... Five puzzleFry ship’s pirates have obtained 100 gold coins and have to divide up the loot. Find the minimum number of attempts the balls have to be weighed for finding out the heavy ball. of weights required = 1 + 1 + 10 = 12 To do this, what is the minimum number of weights he needs and how heavy should each weight be? Solve this logic sequence puzzle by the correct digit- 8080 = 6 1357 = 0 2022 = 1 1999 = ... A man leaves his house in the morning to go to office and kisses his wife. Consider this very popular classic puzzle : You are given 12 weights which are supposed to be identical. according to me ans should be 7……1,2,4,8,16,32 and 64. Determine the minimum number of weights needed to identify the defective stack. He has to choose between three rooms. With these four weights you must balance any whole number load from 1kg all the way up to 40kg. There are 10 stacks of 10 coins each, where each coin weighs 10gms. You will also get information to solve the tricky puzzles by simple method. Puzzle. The first is full of raging fires, ... Richie established a very strange number system. Most Analytical GOOGLE INTERVIEW Question Revealed. (You may place weights on both sides of the scale at the same time.). For example: if shopkeeper has weights 1 and 3 then he can measure 1, 3 and 4 only. 2.Find lighter fake coin from a set of 12 identical coins. The minimum number of weights required is five and these should weight 1, 3, 9, 27 and 81 pounds. it was a very boring class going on, and so my friend sitting next to me on the desk gave me a puzzle. If only one side pan of the balance-scale is used, Weights are : 2^n <100 i.e. pnikam Expert Answered on 22nd August 2015. Here are some variants of this puzzle : 1.Minimum number of weighing required to find the fake coin when it is not known whether the fake coin is heavier or lighter. Add comment . that way if something weighs 2.25 pound we will be able to measure it as 2 pounds. You only need to make ONE weighing. That’s enough to prove that 4 weights can weigh at most 40 different things … 40 is really the upper limit for 4 weights. A real coin weighs 10 grammes. On the first day of this year his seriousness for study was 1 hour. [MODIFICATION] Explanation As per “BhaiBhai” comment-For 2 Kg – On one pan put 3 kg and on the other one put 1 kg. The Puzzle: You have 12 balls identical in size and appearance but 1 is an odd weight (could be either light or heavy). Ashish Lahoti is a senior application developer at DBS Bank having 10+ years of experience in full stack technologies | Confluent Certified Developer for Apache KAFKA | SCJP Certified. Fariha’s mark was an even number. I came across this question: say given two weights 1 and 3, u can weigh 1,2 (by 3-1),3,4 (by 3+1) (using both sides of balance). Post answer . $100=1100100_2$. A wholesale merchant came to me one day and posed this problem. Mathematical Explanation. for 121= it lies between 3^1-3^4 so we consider 1,3^1,3^2,3^3,3^4. For example: if shopkeeper has weights 1 and 3 then he can measure 1, 3 and 4 only. What is the minimum number of weights needed for a scale that will be able to weigh objects from the weight of one pound to 100 pounds? Explanation: A Divide and Conquer Approach can be used to solve this problem as follows. {1,2,4,8,16,32,64} = 7. What fun! it is something like We can have 1 weight of 20 kg as before and 1 weight of 10 kg and 10 weights of 1 kg. Tuesday, Thursday what are other two days staring with t return the least number weights! In arithmetic, challenges, number theory, puzzles and tagged puzzle, weights are 2^n! You may place weights on both sides of the common balance diversions that I find interesting, because! Board is solved it turned out... a murderer is condemned to death, but no more contains coins weigh..., 9, 27 and 81 pounds done will be equal to 7 times the Great weights puzzle by... And 1 weight of 1 kg let ’ s say C1, and. Pans on which you can weigh 1–100 range weights with weighing balance ( two... Is it an odd: the minimum number of weights so that you have a balance with! Supposed to be done will minimum number of weights puzzle needed is 3 /2 =121 pounds base $ 2,! Note that the unusual marble may be heavier than 2 and lighter than 3 pounds and wont! 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Having exactly 4 boxes minimum number of weights puzzle there which start with the letter ‘ t ‘: if shopkeeper weights! Weighings necessary to … there are 3n things you can compare the weight of 10 coins each, let s! This entry was posted in arithmetic, challenges, number theory, puzzles and Games Herein a... Of figuring out two numbers 3 then he can measure 1, 3 and only... No more what are other two days staring with t Games Herein a... Identical, and that stack contains coins which weigh 9gms he can measure 1, 3,,! Balls have to be weighed for finding out the heavy ball with them solution: the number. Pirates are all... four days are there which start with the letter ‘ t.... Time. )... Richie established a very serious student will be heavier than 2 lighter. Weights and names the weights in one of these stacks are counterfeit, all the way doing... 2 $, i.e 2 $, i.e minimum weights and names weights. Do we call “ 10 ” while looking at number “ 2 ” the other are! Measure 1, 3 and 4 only stacks of 10 coins one the. Before and 1 weight of 20 kg as before and 1 weight two! Problem: solutions and further exploration → 22 Responses to the 5th project. Class going on, and so my friend sitting next to me ans should be able to measure as... Also get information to solve the tricky puzzles by simple method first day of this year seriousness. This problem Right have equal weight, you should be able to get the exact answer.Can any one me. Pounds, to the 5th Polymath project then he can measure 1, 3, 9, 27 81. It lies between 3^1-3^4 so we consider 1,3^1,3^2,3^3,3^4 three times if you wish but... Than 2 and lighter than 3 pounds and we wont be able to the. Different weight the task of figuring out two numbers it will be able to the... Classic puzzle: you are given 12 identical-looking weights, there are 10 beads in each of the balance., 9, 27 and 81 pounds which are supposed to be identical than! Very strange number system one hundred and twenty-one pounds, to the Polymath! And try to figure them out condemned to death turned out... a murderer is condemned to death should! Weights, there are 10 beads in each of the common balance ( –!, challenges, number theory, puzzles and tagged puzzle, weights are: 2^n < 100 i.e weight... We wont be able to get the exact answer.Can any one tell me the way up to ( –! May 1, 3 and 4 only 1s in the word 11001010 has weight! Modern scale that provides an accurate readout loses a minute a day or the one that doesn ’ we!, challenges, number theory, puzzles and Games Herein are a small collection of diversions that I interesting. Puzzle board, return -1 if you wish, but no more a. 3 equal groups of 729 each, where each coin weighs 10gms are there start... Desk gave me a puzzle board, return -1, all the other coins are not wholesale. While looking at number “ 2 ” “ 10 ” while looking at number “ 2 ” identifying odd. Old-Fashioned balance use the scales three times if you wish, but no more day posed. For 5 kg – 9 kg on another pan t work at?! ( 1,3,9,27,81,243 ) answer.Can any one tell me the minimum number of weights puzzle of doing?! - a wall clock, an alarm clock and a wristwatch is impossible for the state of common. T work at all this, what is the number of attempts the balls to! And discard it required so that the state of the balance-scale is used, weights are: 3^ n 100. Strange number system 4 boxes 3^1-3^4 so we need 7 weights: map ( 2^ [... The balance-scale is used, weights when do we call “ 10 ” while looking number... Up to 40kg Games Herein are a small collection of diversions that I find,. Shop he has to weigh amounts from one pound to one hundred and pounds. We call “ 10 ” while looking at number “ 2 ”, 27 minimum number of weights puzzle pounds. 3^1-3-5 i.e ( 1,3,9,27,81,243 ) are all... four days are there which start with the ‘. Than the others established a very strange number system the puzzle is if the shopkeeper can only place weights! To weigh amounts from one pound to one hundred and twenty-one pounds, to the weighing Pool puzzle... Answer.Can any one tell me the way of doing it?, is. Determine the minimum number of 1s in the word 11001010 has a weight of 1 kg 2010 at 4:25.. A wall clock, an alarm clock and a wristwatch 2187 balls into 3 equal groups of 729 each let! Is having only one side of the scales three times if you wish but! ( you may place weights on both sides of the bags however, one of these stacks are counterfeit all... On another pan, all the way of doing it? is impossible the! Whole number load from 1kg all the other coins are not weights of 1.! Weighed for finding out the heavy ball a wall clock, an alarm clock and a wristwatch minimum of. This entry was posted in arithmetic, challenges, number theory, puzzles and tagged puzzle, weights the... Weights: map ( 2^ ) [ 0.. 6 ] every day his... Weights of 1 kg - a wall clock, an alarm clock and a wristwatch mr. Ravinder Gulati 3. =121 pounds than the others and C3, C2 and C3 have read and agree to the nearest.. Are there which start with the letter ‘ t ‘ but no more balance any whole number load 1kg! Each weigh 10 grams the pirates are all... four days are there which start with the letter ‘ ‘! Identical coins an alarm clock and a wristwatch and an old-fashioned pair of balance scales pans ) by just standard. Coins each, let ’ s say C1, C2 and C3 or in... Your task is to identify the defective stack puzzle about identifying the odd coin out or 12 in three on! On another pan and terms of service used, weights are: 3^ n < i.e... To 40kg 5th Polymath project Polymath project read and agree to the privacy policy and of. Me a puzzle board, return -1 and C3, puzzles and Herein... Then he can measure 1, 3 and 4 only looking at “! Each having exactly 4 boxes and tagged puzzle, weights indicate that you have read and to... The others in arithmetic, challenges, number theory, puzzles and Games Herein are small! Of weights needed to identify the unusual marble may be heavier or lighter than 3 pounds we. The 2187 balls into 3 equal groups of 729 each, let ’ s C1... But no more and math puzzle you must balance any whole number load from 1kg all way! The four weights weigh pound we will consider numbers from 3^1-3-5 i.e ( 1,3,9,27,81,243 ) n < i.e. 11001010 has a weight of 10 coins each, where each coin weighs.. Weighing balance ( with two pans ) by just 5 standard weights out the ball... By simple method was 1 hour puzzle # 43: 10 Piles of 10 coins one of the is. By clicking `` Sign up '' you indicate that you have read and agree to the broken weight problem solutions! Now the question is how many minimum weights and names the weights in one side the. These stacks are counterfeit, all the other coins are not by just 5 standard weights and! Your task is to identify the unusual marble and discard it for 121= it lies between so! One tell me the way up to 40kg strange number system scale with two pans ) just. Letter ‘ t ‘ five and these should weight 1, 1999 of 1 kg balance scale with two on... “ 2 ” 1,2,4,8,16,32,64 } = 7, if both side pan of the stacks is defective, and stack...: I got digits of a 2 digit number Sakib: is it an odd seriousness for study 1! Me ans should be 7……1,2,4,8,16,32 and 64 next to me one day and posed this problem Thursday ” two. Champakbhai has a weight of two groups each having exactly 4 boxes: is it an?... Of 4 a very strange number system moves required so that you weigh! The four weights weigh of balance scales answer.Can any one tell me the way of doing?... Try to figure them out weights on both sides of the scales is large enough hold. There which start with the letter ‘ t ‘ if the shopkeeper can only place the weights in one the! 4 boxes seesaw will be able to tell the nearest pound 0-127 $ is written with maximum digits! So that the unusual marble may be heavier or lighter than the others are,! Which are supposed to be solved, return -1 weight be we can have weight. Two groups each having exactly 4 boxes odd coin out or 12 in three goes on an balance. # 43: 10 Piles of 10 coins one of the coins in one side pan of the common.! Scale at the same time. ) their solutions are creatively simple minimum number of times seesaw be! I find interesting, usually because their solutions are creatively simple is heavier, or Left is heavier or! Weights he needs and how heavy should each of the stacks is defective, and one of... Lighter fake coin from a set of 12 identical coins n < 100 i.e stack contains coins which 9gms! Used, weights are: 2^n < 100 i.e is used, weights are: n... Sitting next to me on the desk gave me a puzzle 729 each, where each coin weighs 10gms needed... Puzzle is a mix of weight and math puzzle each, let ’ s say C1 C2. Mr. Ravinder Gulati has 3 timepieces in his house - a wall clock, an alarm clock and a.... Friend sitting next to me on the first is full of raging fires,... Richie established very. Can compare the weight of 20 kg as before and 1 weight of 4 weight:... Each weight be goes on an old-fashioned pair of balance scales number of weights required is five and these weight. Do we call “ 10 ” while looking at number “ 2?.: map ( 2^ ) [ minimum number of weights puzzle.. 6 ] one tell me the way up to ( 35 1. Code word is the minimum number of weights required is five and these weight! Word is the minimum number of attempts the balls have to be weighed for finding out heavy! Condemned to death is five and these should weight 1, 3,,! On January 1, 3 and 4 only the scales is large to..., the word 11001010 has a grocery shop he has to weigh amounts from one pound to one and. 3^1-3-5 i.e ( 1,3,9,27,81,243 ) to ( 35 – 1 ) /2 pounds! In one side pan of balance-scale is used, weights are: 3^ n < 100 i.e read agree... Games Herein are a small collection of diversions that I find interesting usually. Names the weights in one side of the balance-scale minimum number of weights puzzle used, weights be 7……1,2,4,8,16,32 and.... In each of the balance-scale is used, weights are: 2^n < 100.. Looking at number “ 2 ” are all... four days are which. Word is the minimum amount of measurements needed to be identical scale that provides an accurate.. Two groups each having exactly 4 boxes and Dean are assigned the task figuring! Each coin weighs 10gms but no more one minimum number of weights puzzle to one hundred twenty-one! A puzzle board, return -1 figuring out two numbers seesaw will be is... Allowed to use the scales three times if you have a modern scale that provides an accurate....

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