
This one might be tricky
This is for a game I play,
you can take a "som" of a person, it gives you a number, but the number is not 100% accurate it can be off by +/ 45%, there is no way to tell how far off it is with just 1 number.
You can take multiple "soms" to get 2, 3 or 4 numbers all off by different percents from the correct number.
the numbers can be off by 1% 4% 18% etc. but can not be off by something like 1.34% or 6.542%. They are off by whole percents.
The maximum error is 45%
Using this I think it should be possible to make a formula to figure out the correct answer given 34 numbers.
I wanted to work this into a spread sheet but I got a little stuck... :)
Help please :D
whoops this probably is in the wrong section, I am definitely in first year university

Can you shed some light on the actual writing of the question? It seems a bit ambiguous to me.

managed to get a spreadsheet up that does it, had to use arrays so had to get a bit of help on the programming end of things,
it ended up not being a math question at all really.
i think it would be something like
f(x)= x*b
f(x)= x*a
(a is a integer between +/ 145)
(b is a int between +/ 145)
solve for x, in some cases u needed a c, or even rarely a d. if b and a were equal ofc u get infinite results.
it was for a game where you arent supposed to figure out the exact number, so there is some uncertainty but using this spread sheet :D

Let $\displaystyle n$ be the unknown number. Say the first trial gives the value $\displaystyle k$. Then we can conclude that $\displaystyle n$ is between $\displaystyle \frac{k}{1.45} \text{ and } \frac{k}{.45} $
trial 2 gives a result of $\displaystyle j$. Again:
$\displaystyle n$ is between $\displaystyle \frac{j}{1.45} \text{ and } \frac{j}{.45} $. since we have information from the previous round about the interval in which $\displaystyle n$ could be, intersect the two intervals.
repeat.
But will this always terminate with a conclusion "$\displaystyle n$ must be..."??
No, since the number k could come up every single round and no new information is gained. If we require that a new number be given every single round then the worst case scenario is around $\displaystyle \frac{n}{.45}\frac{n}{1.45} $ rounds, since every integer in the interval $\displaystyle [.45n,1.45n]$ might come up.
An interesting question is, what is the expected number of steps required for you to be 10% or 50% or 95% sure of the number?