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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.

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Two riders and their distance

Two riders have distance between them $118$ km and they are moving towards each other to meet . B starts an hour later by A. A travels $7$km in hour while B travels $16$km every three hours. How many kilometers(km) will A have already traveled,…
Legolas
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Under what circumstances are we fair in this classical dorm situation?

So I am going to college this fall. I had two roommates sharing the same room. I will bring the fridge, $\$150$, jack will bring a TV, and Kyle will bring a printer. The TV and the printer are of the same value, let us call its dollar value $x$. So…
Kun
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solve the puzzle

I have recently encountered a reasoning question that I have solved half , but I can't solve one part of it. Question : \begin{align*} 3 + 5 + 6 &= 152092\\ 7 + 6 + 5 &= 422416\\ 4 + 7 + 5 &= 282694 \end{align*} I could figure out that ,in the…
jugnu mesariya
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Is there an equation that can lead to the correct pattern for the answer to this riddle?

Here's a riddle I came across recently: There’s a group of six friends who are all musicians. One day, they decide to have a few performances between themselves so that they can hear each other one play, each one with some of them playing and…
Ben Kane
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Farthest Possible Distance for a Truck Fleet When Transferring Gas

Given a fleet of 50 trucks, each with a full fuel tank and a range of 100 miles, how far can you deliver a payload? You can transfer the payload from truck to truck, and you can transfer fuel from truck to truck. Assume all the payload will…
fibono
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Find the correct betting combination

Case 1: If we bet \$1 on team #1 and it wins then we will get \$2 Case 2: If we bet \$1 on team #2 and it wins then we will get \$4 Case 3: If we bet \$1 on team #3 and it wins then we will get \$6 Case 4: If we bet \$1 on team #4 and it wins then…
rajashekar
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A tricky math problem about the difference of 2 squares

Jose is given two 2-digit numbers AB and CD where (A, B, C, and D represent unique digits) and is told to find the difference between the squares of these numbers. However, Jose has dyslexia and reverses the digits of each number before finding the…
Constanza
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Using only addition, subtraction and multiplication

I have the numbers 6, 30, 8, 8, 3, 7, 1, 2, and 5. Using only addition, subtraction, and multiplication, can you use those numbers to make 60, 54, and 52?
Greg
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Who robbed the bank?

Three suspects are arrested for a bank robbery. Suspect $A$ says he did not rob the bank. Suspect $B$ says he did not rob the bank. Suspect $C$ says suspect $B$ did not rob the bank. If $A$ is telling the truth, then that means $B$ and $C$ are…
Jason
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How many are telling the truth?

Each person in a group of 5 makes a statement. Alex says ''atleast one of us is lying''. Sar says ''atleast two of us are lying''. Esther says ''atleast four of us are lying''. Gaf says ''all of us are lying''. Krom says ''none of us is lying''.…
Christian Weah
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Find the Prize With a Limited Number of Questions

This question is the final step to a much more complicated question that I have spent many hours thinking about but was never able to solve so I am hoping someone here might be able to help. The question is, there are 5 cups A,B,C,D,E , one of…
KBusc
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Maximum possible parts of a cake if cut n times

In how many maximum/minium parts can a round cake($\large\text{ cylinder}$) be divided with $n$ cuts when each cut is necessarily a straight line? What would be the case if we have a circle,sphere,toroid,etc
Hashir Omer
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Finding the ball

There are $N$ balls such that out of these balls only one ball is heavier. We have one balance scale. With it we can know which of two ball groups is heavier. Balls get damaged when weighed, so each ball can take part in a weighing at most $K$…
savvi singh
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Puzzle about 3 boxes with 2 balls inside (black or white) with mixed labels on them

We have 3 boxes. In every one there are 2 balls. One of them has 2 black balls, second 2 white balls, third black and white ball. On every box is a right plate(label): BB,WW,BW. Unfortunatelly somebody mixed the plates and now only NONE of the…
Yoda
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Puzzle about number of students who solved the task and number of girls in a class

During an exam teacher gave students only one very hard task do solve. Statistics built up after the exam told that: number of boys who solved the task was larger by 1 than number of girls who did not solved the task. Which group is bigger number…
Yoda
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