Step 1: Define random sampling methods.
Random sampling methods are those that select participants from a population in such a way that each individual has an equal chance of being chosen.
Step 2: Evaluate each sampling method.
(A) Snowball sampling – This is a non-random sampling method, where participants are selected based on referrals from other participants.
(B) Cluster sampling – A random sampling method where the population is divided into groups (clusters), and then a random sample of these clusters is selected.
(C) Convenience sampling – This is a non-random method where participants are selected based on their availability or convenience.
(D) Stratified sampling – A random method where the population is divided into strata based on certain characteristics, and a random sample is taken from each stratum.
Conclusion: Cluster and Stratified sampling are random sampling methods.
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?

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
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: