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.

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How to calculate interest rate for given amount?

Mr. X pays 1300 each month for 20yrs. After 20yrs X getting 550000. what interest Mr. X got the final amount 550000? For 20yrs 240 months there. 240 * 1300 = 312000 Full steps solution will be easy for my understanding.
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puzzle, solve by equations

Recently I got this puzzle and I was able to solve it but brute force iteration method..( trail and error iteration). I'm wondering is it possible to come-up with like a equation which on solving will give the same answers? Puzzle: One person had a…
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Use the numbers $1$ to $4$ to add up to $4$

It is stated: "A pathway measuring four units in length can be paved in exactly eight different ways using any combination of paving stones measuring one to four units in length." My attempt: The combinations I could find were:…
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Solve Birthday Puzzle

I recently start reading books on games theory, logic in order gain working knowledge in olympiad style logic question. I stumble upon this little puzzle, but I couldn't wrestle it down and couldn't beat it. I wonder what your strategy is to tackle…
DeepSea
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How to efficiently approach this puzzle/logical reasoning problem?

Answer the following question based on the information given below. Five colleagues from different divisions of a company met in the club discussing their Sunday's winnings at cards games. Conditions : Mathur and the person from Engineering…
mac07
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Three players were presented with 3 red balls and 2 yellow balls, 3 balls were chosen at random

and each was concealed in a different box. The challenge was for each player in turn to look inside two of the boxes to see if they could determine the color of the ball in the other box. The first player looked insides boxes 1 and 3, but was not…
stackdsewew
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How to decide what numbers to show in a sudoku grid so that it's solvable?

Let's assume I've generated, from an empty board, a complete and valid sudoku board by some means. Borrowing from this question, let's say that board is: +-------+-------+-------+ | 5 6 4 | 9 3 7 | 2 8 1 | | 1 7 2 | 5 4 8 | 9 6 3 | | 9 8 3 | 1 6 2 |…
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Fruit basket puzzle

There are 3 baskets one of which contains oranges, other contains apples, and last one contains mangoes. Person is allowed to pick from any one of the baskets and then he needs to figure out which basket contains which fruit. Can anyone suggest…
Devarshi
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Is my answer to this math riddle correct, and is there an easier method of solving it?

I've been given the following riddle by my boss, and while I think I might have figured out the answer, I'm not entirely sure how to check that it's correct since I kind of cheated and wrote a python script to do it the long way for me. The…
Thorium
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Is it possible for this puzzle to be solved without the use of computational software?

This puzzle was found from the Hot Network Questions on the right. A repost of a question in a way (from Mathematica SE), but I was wondering if the following puzzle could be done: A quick translation: Can anyone solve this? It's so hard! Fill in…
john2546
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Another version of connecting ropes problem

Met this in an interview. Basically this is a different version of the old familiar rope connecting problem. In that problem, we are asked what's the expected number of loops after connecting n ropes in random. This problem ask for probability of…
vvtt
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Choosing a number puzzle.

A and B play a game, where A begins the game. A can start the game by calling a number from 1 to 10, then the game continues by the other person choosing a number. But rule of game is if one picks x, then the other person can only pick integer…
Sumeet
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What is the likelihood of being killed by lightning in this situation?

There was a recent thunder storm in my city and it caused me to start thinking about a certain problem (perhaps it's my own, perhaps others have thought about it or some variant previously, I do not know). I have not come up with a solution(indeed,…
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Puzzle question (trick)

Is there a way to proof that this always works: Pick 21 different cards; Choose one card, and remember it; Place the cards on three accumulations (every accumulation is 7 cards); Choose the one with your chosen card; Pik up the three accumulations…
user294478
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Find the Number $N$

There is a number $N$ that if we add to him the number $100$ we take a square and if we add to him the number $168$ we take a square.Find this $N$ Any ideas would be apreciated for this puzzle
Legolas
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