Correct option is B
Explanation:
The sentence talks about how adult education can benefit countries, especially third-world nations, by helping them "prosper."
The missing word must logically express the positive impact of adult education on various problems.
(b) resolve – to find a solution to a problem (समाधान करना).
Correct choice. It makes perfect sense that education would help resolve (i.e., solve) a lot of issues.
Example: Education can resolve poverty and unemployment issues in developing nations.
Other Options:
(a) permeate – to spread throughout something (व्याप्त होना).
(c) stagnate – to stop developing or progressing (ठहर जाना).
(d) contradict – to go against or say the opposite of something (विरोध करना).
Grammar Note:
The verb "resolve" is used in the infinitive form "will resolve" to express a future action that solves problems.
Conclusion: The word "resolve" fits perfectly in the context of addressing and fixing issues through adult education.