GATE EC 2025 Set 1 Q3 — General Aptitude

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