A kind of metrical composition that does not follow the rules of rhyme is-

Correct answer: Nonsense Verse.

Nonsense Verse
- A kind of metrical composition that does not follow thematic rules and the rules of rhyme.
- Nonsense verse, humorous or whimsical verse that differs from other comic verse in its resistance to any rational or allegorical interpretation.
- একে অর্থহীন পদ্য বলে যার বেশিরভাগই শিশুদের জন্য লেখা হয়েছে এবং যা ঊনবিংশ শতাব্দীর থেকে যার সূচনা হয়েছে।
- Here is a real nonsense verse:
Ah, ra, Chickera,
Roly, poly, pickena,
Kinny, minny, festi,
Shanti-poo,

Other options:
ক) Interior Monologue
- A kind of Dramatic monologue in which the speaker dramatizes inner conflicts, self-analysis, and talks to his imagined split self.
- Interior monologue, a narrative technique that exhibits the thoughts passing through the minds of the protagonists.
- এটি মূলত চরিত্রের মানসিক অবস্থা, তার লুকানো অনুভূতি এবং আবেগগুলি ফুটিয়ে তুলতে ব্যবহৃত হয়।

গ) Metrical romance
- A romance in verse.
- A metrical romance is a type of narrative poetry that was popular during the Middle Ages.
- Metrical romance হলো মধ্যযুগের বীরত্বের কাব্যিক কাহিনী।

Source:
1. Britannica.
2. An ABC of English Literature, Dr. M Mofizar Rahman.