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.

Five years ago, the ratio of Aman’s age to his father’s age was 1:4, and five years from now, the ratio will be 2:5. What was his father’s age when Aman was born?