Directions: In the following question, a target word is provided along with three sentences demonstrating its usage. Choose the option corresponding to the statement(s) in which the target word is used correctly in terms of both grammar and context. If none of the given sentences use the word correctly, select option (e), "None of these".

Proliferate
(i) The number of online educational platforms continues to proliferate as demand for remote learning grows.
(ii) Analysts warn that regional tensions could proliferate rapidly if peace talks stall.
(iii) The committee members met yesterday to discuss the project far too proliferate.

The correct answer is both (i) and (ii).

Meaning of the Target Word:
Proliferate is a verb that means to increase rapidly in numbers, multiply, or spread quickly.

Detailed Analysis of Sentences:

Statement (i): "The number of online educational platforms continues to proliferate as demand for remote learning grows."
• Context & Grammar: Here, "proliferate" functions as an infinitive verb (to proliferate) meaning to rapidly expand or multiply in number. This correctly aligns with the context of growing demand for online platforms. Therefore, statement (i) is correct.

Statement (ii): "Analysts warn that regional tensions could proliferate rapidly if peace talks stall."
• Context & Grammar: In this sentence, "proliferate" is used as a verb describing the quick spread or multiplication of tensions. It fits both grammatically and contextually with peace talks stalling. Therefore, statement (ii) is correct.

Statement (iii): "The committee members met yesterday to discuss the project far too proliferate."
• Context & Grammar: In this sentence structure ("discuss the project far too..."), an adverb such as thoroughly, extensively, or lengthily is required to modify the verb "discuss". Using the verb "proliferate" here is grammatically and contextually inappropriate. Therefore, statement (iii) is incorrect.

Conclusion:
Since only statements (i) and (ii) use the word "proliferate" correctly, the correct option is both (i) and (ii).