Step 1: Identify authors
- Mansfield Park (1814) — written by Jane Austen. While published under the simple attribution "By a Lady," Austen did not openly use her name. This is a form of pseudonymous/anonymous authorship common for women in her era.
- Middlemarch (1871–72) — written by Mary Ann Evans, who adopted the pen name George Eliot to be taken seriously in a male-dominated literary field.
Step 2: Eliminate distractors
(A) Men in exile — false; both were women.
(B) Political prisoners — not true for Austen or Eliot.
(C) Written by children — false; both were accomplished adult authors.
Thus, both shared the commonality of being women novelists who concealed their identity under pseudonyms/anonymous authorship.
\[
\boxed{\text{Mansfield Park = Jane Austen (as "A Lady"); Middlemarch = George Eliot (Mary Ann Evans)}}
\]
Arrange the following in chronological order and choose the correct option:
I. Battle of Talikota
II. Establishment of Nagalpuram
III. Formation of Kamalpuram Tank
IV. Emergence of the Sultanate of Golconda
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:
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?

A stick of length one meter is broken at two locations at distances of \( b_1 \) and \( b_2 \) from the origin (0), as shown in the figure. Note that \( 0<b_1<b_2<1 \). Which one of the following is NOT a necessary condition for forming a triangle using the three pieces?
Note: All lengths are in meter. The figure shown is representative.
