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A mathematical puzzle whose solution is heavily based on the arithmetic properties of the integers. Use with [mathematics]

-9 votes
6 answers
4k views

What are the numbers?

Three perfect mathematicians with extremely strong memories are taking an exam. The examiner tells each of them a certain piece of information about $x$ and $y$, which two positive integers between a …
Abr001am's user avatar
  • 1,004
-7 votes
1 answer
814 views

Deduce the numbers! (Fourth edition)

The two perfect logicians $A$ and $C$ meet their colleague $B$ at an exam, and they are not aware of the fact that $B$ is a moron and a horrible mathematician. At the exam, the examiner informs them t …
Abr001am's user avatar
  • 1,004
-4 votes
Accepted

What are the numbers?

First off lets note a_b a couple of two numbers (a*b,b) Starting from last statement , any set with absent couple such as (2,x) where x > 33 will be excluded Such couples are: ratio=35 2-35 rat …
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  • 1,004
-1 votes
Accepted

Deduce the numbers! (Fourth edition)

Solution: Magic numbers are : first off lets note that such a coupe i,j is a representation of two numbers ij and i Now , the first sentence in the intersection of two lists , the list of additio …
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  • 1,004
2 votes

Find two numbers based on either their multiplication or exponent

Proof of uniqueness: this analysis is from the first, non-modified version of the puzzle. Let's denote $S=\{2,3,4,6,12,36,216,1296,46656\}$ as the set of valid solutions. If someone would have been in …
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  • 1,004
4 votes
4 answers
582 views

Find two numbers based on either their multiplication or exponent

There are two mathematicians with incredibly strong memories sitting in a coffee shop passing the time. Their server proposes a game: First, he gives them a large number: $2176782336$ Then he whispe …
Abr001am's user avatar
  • 1,004
-2 votes
1 answer
744 views

Deduce the numbers (addition + subtraction)

Two mathematicians are passing an exam, where the examiner informs them that he has chosen two different numbers between 2 and 100, such that one is divisible by the other. The examiner then tells the …
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  • 1,004
10 votes
1 answer
1k views

Deducing Two Numbers based on their Difference and Ratio

Yesterday I met the perfect logicians Divvy and Subtra. I told them: I have chosen two positive integers $x$ and $y$ with $2\le x\lt y\le 100$ and with $x$ a divisor of $y$. I will now whisper …
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  • 1,004
0 votes

Sudoku-net pseudo-solvable with minimum blocks

my answer for the second question may be : # # # | # # # | # # # # # # | # # # | # # # ____ | ____ | ____ ____ | ____ | ____ ____ | ____ | ____ ____ | ____ | …
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  • 1,004
1 vote
2 answers
291 views

Sudoku-net pseudo-solvable with minimum blocks

A sudoku net is defined here. A sudoku net is defined as 'pseudo-solvable' if we can deduce at least two valid 'not unique' solutions. friendly sudoku is defined here What is the sudoku net with …
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  • 1,004