Read the following passage carefully and answer the question:
The purpose of all rational human endeavour, individual as well as collective, is attainment of freedom, in ever increasing measure. Freedom is progressive disappearance of all restrictions on the unfolding of the potentialities of individuals, as human beings, and not as cogs in the wheels of a mechanized social organism. The position of the individual, therefore is the measure of the progressive and liberating significance of any collective effort or social organisation. The success of any collective endeavour is to be measured by the actual benefit for its constituent units.
– M.N. Roy, ‘Principles of Radical Democracy 22 Theses”, in New Humanism: A Manifesto.
Which among the following is/are in conformity with the above passage?
Choose the correct combination of the following Mīmāmsā schools in Column I and their respective epistemic position in Column II.

Which of the following is a correct combination of the metaphysical position of Viśiṣṭādvaita of Rāmānuja?
(i) World is real
(ii) World is unreal
(iii) There is no Jīvanmukti
(iv) Brahman is saguṇa (qualified)
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:
The following figures show three curves generated using an iterative algorithm. The total length of the curve generated after 'Iteration n' is:
