Question

A device calculates the worth of gemstones based on quality such that a gem with a quality rating of $q-1$ is worth $5$ times more than a gem with a quality rating of $q$. According to this device, the worth of a gem with a quality rating $p-r$ is how many times greater than that of a gem with a rating of $p$ ?

Answer 1

Hint: For answering this type of arithmetic question, we should have to read the statement given in the question carefully. And the answer also lies in the question. We just have to decode it by studying the question carefully. In this way, we will solve this problem with the use of the statement.

Complete step-by-step answer:
So in this problem, it is given that the worth of rating $q-1$ is worth $5$ times more than a gem with a quality rating $q$ . So from this, we will get
Let us say that the rating for the worth of $p=v$
Hence, we can say from this
The worth of rating of $p-1=5\times v=5v$
Similarly the worth of rating of $p-2=5\times 5\times v=5^{2}v$
And also the worth of rating of $p-3=5\times 5\times 5\times v=5^{3}v$ and so on
Therefore the worth of rating of $p-r=5^r\times v$
So it can be written as $5^r$.
Therefore the correct answer will be $5^r$ .

Additional information:
Most of the inquiries posed within the take a look at depend upon easy concepts, and this makes it an outright thought that one deals with the concepts and does not constitute the daily schedule of packing addresses itself. Likewise, whereas giving the take a look at, one needs to be looking out for the easy inquiries and make sure that one does not pass up an excellent chance for the inquiries.

Note: This type of problem can also be solved by the options given to us. If the options are given then by putting the values and then we will tally it with the equation and if it is right then there we go we are on the right option or otherwise check the next option.