Answer: Third option is correct.
Step-by-step explanation:
Since we have given that
The quantity q varies inversely with the square of m and directly with the product fo r and x.
According to question,
\(q=k\frac{rx}{m^2}\\\\\text{ where k denotes constant of variation}\)
Since q=2.5, m=4, rx=8,
So, we put the value of all of theses in our above relation:
\(q=k\frac{rx}{m^2}\\\\2.5=k\frac{8}{4^2}\\\\2.5=k\frac{8}{16}\\\\2.5=k\frac{1}{2}\\\\2.5\times 2=k\\\\5=k\)
Hence, Third option is correct.
