Real numbers $y, p$, and $n$ (all greater than 1 ) satisfy

$$ \left(\log _{p^{1 / n}} y\right)\left(\log _{y^{1 / n}} p\right)=16 $$

where the logarithms are taken to the bases $p^{1 / n}$ and $y^{1 / n}$ The value of $n$ is $\_\_\_\_$

The 12 musical notes are given as $C, C^{\#}, D, D^{\#}, E, F, F^{\#}, G, G^{\#}, A, A^{\#}$. Frequency of each note is $\sqrt[12]{2}$ times the frequency of the previous note. If the frequency of the note $C$ is 130.8 Hz , then the ratio of frequencies of notes $F^{\#}$ and $C$ is:

The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration $n$ ' is:

Note: The figures shown are representative.

Which one of the following plots represents $f(x)=-\frac{|x|}{x}$, where $x$ is a non-zero real number?

Note: The figures shown are representative.