In a small town lived a close-knit family where every relation could be expressed through simple symbols. For instance, when they said \( A \times B \), it meant \( A \) is the father of \( B \), while \( A \div B \) meant \( A \) is the mother of \( B \). The younger ones were often introduced with \( A + B \), meaning \( A \) was the daughter of \( B \), and the bond of brotherhood was shown by \( A - B \) (A is brother of B).
One day, the children in the family turned these symbols into a playful code. Instead of introducing their parents and siblings in words, they spoke only in symbols. “Look,” giggled little Meena, “\( M + N \div O \)!” Everyone laughed, because they knew it meant Meena was the daughter of \( N \), and \( N \) was the mother of \( O \), making her \( O \)’s sister. What started as a code soon became a family game, making the bonds of father, mother, daughter, and brother not just relations, but symbols of love and togetherness. (165 words)
Here are two analogous groups, Group-I and Group-II, that list words in their decreasing order of intensity. Identify the missing word in Group-II.
Abuse \( \rightarrow \) Insult \( \rightarrow \) Ridicule
__________ \( \rightarrow \) Praise \( \rightarrow \) Appreciate
Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.
After the 1st round, the 4th student behind P leaves the game.
After the 2nd round, the 5th student behind Q leaves the game.
After the 3rd round, the 3rd student behind V leaves the game.
After the 4th round, the 4th student behind U leaves the game.
Who all are left in the game after the 4th round?

The 12 musical notes are given as \( C, C^\#, D, D^\#, E, F, F^\#, G, G^\#, A, A^\#, B \). 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 Hz, then the ratio of frequencies of notes F# and C is: