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Questions tagged [puzzle]

For questions about the mathematical principles behind puzzle, games, riddles, or their possible solutions. Questions that are not strictly mathematical in nature should be asked on Puzzling Stack Exchange.

Many puzzles, games, and riddles are based on mathematical concepts. This tag is for questions that ask about the mathematics behind a puzzle, game, or riddle, or about the solutions to mathematical puzzles.

If you already know the answer to the puzzle you are posting, you might consider posting your question on Puzzling Stack Exchange, instead. If you do end up posting your question on Mathematics Stack Exchange (MSE), please read the following meta posts on these kinds of questions before asking your question:

If you do end up posting on MSE, please make it clear in your question that you are "puzzling" the community and that you will be answer the question yourself if no one in the community posts your desired solution.

3301 questions
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Finding possibilities puzzle

The answer: 2 Hi guys, I'm doing the practice papers for an examination, and got stuck on this question. I ended up getting the right answer, but I'm not sure if my thinking is correct. I would love someone else's opinion on it. My thinking --…
Stepan Parunashvili
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How many Nonograms can be solved multiple ways?

A Nonogram or a Griddler is a puzzle that can be explained here. I noticed that while solving a few nonograms, some nonograms cannot be solved. These might include a 2x2 nonogram which looks like:$ \begin{bmatrix} 1 & 0 \\ 0 & 1 \\ \end{bmatrix} $…
Ketchup Packet
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Can anybody tell me how to find the value of $\alpha$?

I don't know how to find the value of $\alpha$: $$(\sqrt{3}+\sqrt{2})^\alpha + (\sqrt{3}+\sqrt{2})^\alpha = 10$$ I tried to simplify it to $$(\sqrt{3}+\sqrt{2})^\alpha=5$$ then take the ($\ln$) of both sides $$\ln{(\sqrt{3}+\sqrt{2})^\alpha} =…
zizaaooo
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Logical Puzzle - finding pattern

My attempt:- Two pairs of cells :- (c1,c3) and (c1,c2); therefore, c1+c3=c1+c2 or c2=c3=x Similary, another two pairs of cells I took were :- (c4,c5) and (c4,c6) with common cell having 5 in it, I took c4 as y , now c4+c5=c4+c6 , c4=c6=a How to…
Vasu Gupta
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Does it follow that the majority of the committee ranks A higher than C?

Each member of a committee ranks applicants A, B, C in some order. It is given that the majority of the committee ranks A higher than B, and also that the majority of the commitee ranks B higher than C. Does it follow that the majority of the…
轻型八神
  • 351
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Number of possible grids

I have created a mobile game called Bineroo where you need to fill in grids with black and white circles to succeed. There are basically 3 rules to respect Equal number of whites and blacks on each column and row No more than two whites or blacks…
DARGIL
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Walking on an escalator, how many steps to reach the top?

You are walking on an escalator at the speed of 1 step/s and it takes 20 steps to reach the top. If you walk (on the escalator) at the speed of 2 steps/s, it takes a total of 30 steps to reach the top. If you walk at the speed of 3 steps/s, how many…
bloomsdayforever
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Logic Based Mathematical Teaser

Every professor in the math department is a truthteller (always tells the truth) or a liar (always says false statements). Five professors make the following statements: •Alice: “If I am a liar, then so is Bob”. •Bob: “If I am a liar, then so is…
UT-HJ
  • 103
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Calculate row number based on identifier in a grid

I have graves in a churchyard organized in rectangular grids. Each grave has an id number and I want to calculate the column and row position of the grave. For each section of the churchyard I know: The id of the grave I want to locate. The id of…
Andrew Downes
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How to prove that an armchair rotated 90 degrees can/cannot reach a position adjacent to starting position

I am trying to solve the following problem from a book: A very heavy armchair needs to be moved, but the only possible movement is to rotate it through 90 degrees about any of its corners. Can it be moved so that it is exactly beside its starting…
senseiwu
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Eating Biscuit Puzzle

Every week the Hatter bought eight packets of twenty biscuits each. (Each packet contained twenty biscuits.) He would devour these with such carelessness, however, that he could never eat an entire biscuit: there would inevitably be an end left over…
Korn
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Number Theory: Primes and Divisibility

Question: “Each of the digits O through 9 is used exactly once 10 to create a ten-digit integer. Find the greatest ten-digit number which uses each digit once and is divisible by 8, 9, 10, and 11.” I have found out so far the divisibility tricks for…
Akshaya Gunnam
  • 181
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3 answers

Rectangular Ground with Square tiles

A rectangular ground is to be filled with square tiles of unit area. The border of the ground should be of red coloured tiles and inside white. If the number of red and white tiles are the same, find the minimum dimensions of the ground.
Raghu
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If "AQUARIUMS" is coded as "CCKOSTUWW", then what is the code for "BARBIEQUE"?

The following question was asked in an online assessment by Goldman Sachs, for Engineering undergrads. If "AQUARIUMS" is coded as "CCKOSTUWW", then what is the code for "BARBIEQUE"? DCTDKGSWG CDGKSTWDG CDDGGKSTW DCGKSTWDG I tried solving it in…
Divx
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"No students are athletes" but "some teachers are both athletes and students"

I was reading some logical test here. I reported it down below Given the following premises, state whether the conclusions are true, false, or unknown: All athletes are coaches, but not all coaches are athletes. All coaches live in Chicago. No…
roi_saumon
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