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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homework cheyenne

It is a four-digit number. Its largest place value is its one place. The squares of each of its digits are less than nine. Its thousandths didgit divided by its ones digits is 50%. The sum of two pf its digits is 0. The difference between its ones…
Malia
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three girls gave a friend 60 rupees and asked her to buy them a kilo of mangoes from the market.

Possible Duplicate: Riddle (simple arithmetic problem/illusion) three girls have a friend 60 rupees and asked her to buy them a kilo of mangoes each from the market. the mangoes cost 55 rupees. to make it easy to divide the balance of 5 rupees,…
pranay
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Find all values of $n > 1$ for which one can dissect a rectangle into $n$ right triangles.

Find all values of $n > 1$ for which one can dissect a rectangle into $n$ right triangles. For $n=2$, it is easy to show that it is possible (just insert the diagonal). For $n=3$, it is not possible ( I tried on some examples but not able to do…
user275490
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We have 1000 apples and 900 of them are "Good".If we distribute these apples into some equal groups ,what's the minimum percentage of groups ...

We have 1000 apples and 900 of them are "Good".If we distribute these apples into some equal groups ,what's the minimum percentage of groups in which the majority of apples are "Good"? I think the answer must be 90%,but the formal answer says it…
Hamid Reza Ebrahimi
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Pie Cutting Puzzle

Here's a tasty puzzle. Alice would like to share a slice of pie with Bob. Alice doesn't like crust so she decides to cut the pie cross-wise. However, she wants to make sure that she's giving herself and Bob an even amount. Given the scenario below,…
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Please help me in solving this Algebraic puzzle.

enter image description here Please help me in solving this algebraic puzzle.
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If statement in algebra

Is there a form to if statement in algebra . Or a way to do it . For example Let X , y ,z be 3 numbers . (X is always less than y ) If X/y = 4/5 then z = 1 else z = 0 I thought of a way and it was an equation like that . (X/y-1) - (X mod y-1 )/y-1…
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Adjusting terms number

I have equation with default $4$ terms but number of terms are related to input for example : Say the equation is $X - x^2 + x^3 - x^4$ If my input was $1$ then the equation equals $X$ If it was $2$ equation equals $X - x^2$ . If it was $3$ then…
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Get the reciprocal of a percentage without dividing, using very limited operators with domain [-1, 1]

I'm attempting to use a very limited system of operations (embedded in Bitwig Studio, a digital audio workstation), to get the reciprocal of a percentage. My end goal is to map an input from 0% to 100% over the first 8 numbers of the harmonic…
Ott
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Deduction from a sequence of statements

check the validity of the following argument: "if the rents of hotels in jammu are fixed or the prices of the commodities are reduced then the income of bussinessmen shall decrease. If the income of businessmen decrease then the farmer shall feel…
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Where is the number 130 archers per meter in attempt 2, in the "Sparta" article in the "What If?" book?

In the article Sparta from the book What If?, the given problem is to know how many archers would be required for the scene of flying arrows blotting out the sun. His method is to calculate the number of arrows in a meter width of the archer…
Ooker
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Help with logic problem

I have been thinking about a logical curiosity I came across years ago. It went something like this: Three married women live in a circle of friends in which: 1) Any infidelity on the part of a husband is immediately known by everyone except…
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Knights & Knaves question 28 -seemingly another possibility?

I am not familiar with those puzzles and I would like to find out do I miss some rules which are necessary for solving those puzzles? Here is an example - 28 (What is the name of this book? R.M.Smullyan) In this problem, there are only two people,…
Aili J.
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What are the missing numbers in this table?

Given this table, I try to fill the missing numbers: What are the missing numbers?
direprobs
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Insert arithmetic operations between the digits of "$55555$" to get 66.

How can we put any mathematical sign (addition, subtraction, multiplication, or division) between five $5$s to get $66$? $$55555\;=\;66$$