# Tagged Questions

This tag is meant for questions about the mathematical principles behind games, riddles, or their possible solutions. If the answer is known to you please do not use this tag to "riddle" other users, but rather to ask about the correctness of a possible solution or ways to extend and improve an ...

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### how many cubes have at least $1,2,3$ colors on them

I have a painted cube, which is cut into $n^3$ smaller cubes. I now want to find the number of cubes which have $1$,$2$,$3$ sides painted. I know the long way round of taking each cube and putting ...
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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 ...
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### Multiplication without figures

I have taken the 12th problem of this pdf, do you know any way to resolve it without using brute force? Simply I have to replace '*' of this multiplication below with correct digits, in order to have ...
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### A bird flies between two cars infinite times [duplicate]

The following question and answer is taken from careerbless A naughty bird is sitting on top of the car. It sees another car approaching it at a distance of 12 km. The speed of the two cars is ...
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### Limit approximation for $\pi$ in the four fours puzzle?

The four fours puzzle is a recreational math puzzle whose aim is to express whole numbers using four occurrences of the digit 4 and a specified set of operators. A common variety permits the following:...
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### The Triple Number Game (n + n + n)

I work at the Science Museum on weekends, and I sometimes present the following puzzle: $$0\;0 \; 0 = 6$$ $$1 \; 1 \; 1 = 6$$ $$2 \; 2 \; 2 = 6$$ $$3 \;3 \; 3 = 6$$ $$\vdots$$ $$n\;n\;n=6$$ The idea ...
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### How to solve this riddle mathematically? [closed]

Its a classic puzzle. It is as follows- You have died and you are in afterlife. You have two doors in front of you. One leads to heaven and the other leads to hell. One guard is guarding each gate. ...
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### Each alphabet of KANGAROO is replaced with number by $2$ people; which alphabet is replaced with the same number?

In the word KANGAROO Bill and Bob replace the letters by digits, so that the resulting numbers are multiples of $11$. They each replace different letters by different digits and the same letters by ...
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### $4\times ABCDE = EDCBA$: Four times a five digit integer is that integer backwards.

A student gave me this puzzle the other day. Where $A,B,C,D,E$ are distinct digits, and where $A,E\ne0$, what 5 digit integer satisfies the condition below? $$4\times ABCDE=EDCBA$$ What I'm ...
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### Math riddle: reach sum of 100 with numbers $0…9$

This is a riddle my friend gave me and we don't know the answer so we would like some help. The task is to use all of the numbers $0,1,2,...,9$ once each to get a sum of $100$ only using the plus sign....
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### Puzzle. Transfer maximal coal using a train [duplicate]

We need to transfer coal from point $A$ to point $B$ using a train. There is $9000$ tonne at point $A$. The distance between point $A$ and $B$ is $3000$ km. Train can carry only $3000$ tonne included ...
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### Minimum number of squares required in grid so that the next square added is not isolated

Given a rectangular grid with $n$ rows and $m$ columns in which squares may be placed, what are minimum number of squares required so that the next square added cannot be placed in isolation? ...
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### Counting and Abstract Problem Solving [closed]

Suppose that you have a bucket holds fiv-sev c, and one holds tw-one c. How could you use them to measure out thre c of water?
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### Connecting up boxes mathematically (Puzzle)

How would you connect each black box once to each colored box without any lines overlapping, this is racking my brain so please help. Note that you can move the boxes where ever you want. Maybe ...