The Clearly Impossible Puzzle 200 Piece! - Medium - Very Difficult and Fun! - Clear Acrylic

Product Information

Then we eliminate the products that are common between these sums. When this is done, we observe that 17 has only one remaining product (52) and the others all have more than one. Therefore the sum is 17 and the product is 52, so the numbers are 4 and 13! a b c d e f g h i j k Williams, Jenny (May 11, 2011). "Bang Your Head Against This Impossible Quiz!". Wired. Archived from the original on March 14, 2016 . Retrieved August 21, 2023. This section does not cite any sources. Please help improve this section by adding citations to reliable sources. Unsourced material may be challenged and removed. ( August 2018) ( Learn how and when to remove this template message)

If you're not phased so far and think you have what it takes to conquer the impossible, put your knowledge, logic, and problem-solving skills where your mouth is in this one-of-a-kind puzzler by Splapp-me-do. Each level will challenge you with a series of devious and downright ridiculous questions, each with four possible answers, each more ridiculous than the last. And beware: the answers are often misleading or humorous, so it's up to you to use your critical thinking skills to determine the correct response. Looking for the answers to the impossible quiz? Look no further! Our complete list of impossible quiz answers is here to help you win the game. Answer 84: You need to touch only the shooting star while avoiding the meteors. But before that, you must first collect the “Skips” that are floating around because you will need them later on. (the good thing is that it can be skipped. It’d be “impossible” if it weren’t skippable.)The problem is rather easily solved once the concepts and perspectives are made clear. There are three parties involved, S, P, and O. S knows the sum X+Y, P knows the product X·Y, and the observer O knows nothing more than the original problem statement. All three parties keep the same information but interpret it differently. Then it becomes a game of information.

So P now knows the numbers are 4 and 13 and tells S that he knows the numbers. From this, S now knows that of the possible pairs based on the sum (viz. 2+15, 3+14, 4+13, 5+12, 6+11, 7+10, 8+9) only one has a product that would allow P to deduce the answer, that being 4 + 13.Friedman, Lex (March 15, 2010). "iPhone quiz apps". Macworld. Archived from the original on August 26, 2023 . Retrieved November 12, 2023. X and Y are two whole numbers greater than 1, and Y > X. Their sum is not greater than 100. S and P are two mathematicians (and consequently perfect logicians); S knows the sum X + Y and P knows the product X × Y. Both S and P know all the information in this paragraph. And the last one on the list is really huge. And by huge I mean 5000 pieces huge. Unlike the other puzzles on the list, what makes this an impossible puzzle is its remarkable number of pieces that can keep you assembling for days and even months. But it’s not just the number of pieces but pieces of subtly different colors that make it even more difficult to complete. Try this if you are ready to push yourself further than you ever did.

After the first statement, Prada can eliminate one of these possibilities. If Sam was provided 28, one of the possible products would have been 115 = 5 * 23, which is a unique factorization, meaning Sam would be unable to confidently make the first statement. So Prada knows Sam must have been provided 17, and now knows x and y. Sam was provided x + y = 17, and can list out the possible products that Prada could have been provided: The problem can be generalized. [2] The bound X + Y ≤ 100 is chosen rather deliberately. If the limit of X + Y is altered, the number of solutions may change. For X + Y< 62, there is no solution. This might seem counter-intuitive at first since the solution X = 4, Y = 13 fits within the boundary. But by the exclusion of products with factors that sum to numbers between these boundaries, there are no longer multiple ways of factoring all non-solutions, leading to the information yielding no solution at all to the problem. For example, if X = 2, Y = 62, X + Y = 64, X· Y=124 is not considered, then there remains only one product of 124, viz. 4·31, yielding a sum of 35. Then 35 is eliminated when S declares that P cannot know the factors of the product, which it would not have been if the sum of 64 was allowed. and S knows that P does not know the solution since all the possible sums to 17 within the constraints produce similarly ambiguous products. However once P knows that S believes there are multiple possible solutions given the product, P can rule out 2 x 26, as in that case the sum is 28. If S had been told 28, she couldn't state with certainty that P didn't know the values, as a possible pair would be 5 and 23, and if P had been told the total of 5 x 23, then those two numbers are the only possible solution. a b c d Kietzmann, Ludwig (February 28, 2007). "Play The Impossible Quiz, lose your mind". Engadget. Archived from the original on August 21, 2023 . Retrieved August 21, 2023.

Gameplay

The reader can then deduce the only possible solution based on the fact that S was able to determine it. Note that for instance, if S had been told 97 (48 + 49) and P was told 2352 (48 * 49), P would be able to deduce the only possible solution, but S would not, as 44 & 53 would still be a logically possible alternative. If the condition X + Y ≤ t for some threshold t is exchanged for X·Y ≤ u instead, the problem changes appearance. It becomes easier to solve with less calculations required. A reasonable value for u could be u = t· t/4 for the corresponding t based on the largest product of two factors whose sum are t being ( t/2)·( t/2). Now the problem has a unique solution in the ranges 47 < t< 60, 71 < t< 80, 107 < t< 128, and 131 < t< 144 and no solution below that threshold. The results for the alternative formulation do not coincide with those of the original formulation, neither in number of solutions, nor in content. a b c Thompson, Jon (December 23, 2008). "Casual games you can play in your lunch break". TechRadar. Archived from the original on October 8, 2012 . Retrieved August 21, 2023.