Find out the correct sentence from the following options.

Concept: A verb must agree in number with the head noun of its own subject — not with any noun sitting inside a prepositional phrase that follows the subject. When the structure is '[Head Noun] of [other noun(s)]', the verb's number is chosen by the head noun, never by the object of 'of'. Separately, the quantifier 'many' must be followed by a plural countable noun.

Application: In the sentence under review, the head subject is 'The presence' (singular, uncountable); 'of so many men' is a prepositional phrase modifying it, not part of the grammatical subject. Since 'presence' is singular, the verb must take the singular present-continuous form 'is encouraging', giving: “The presence of so many men is encouraging.”

• “The presence of so many men are encouraging.” — wrongly matches the verb to the plural 'men' inside the prepositional phrase instead of the singular head subject 'the presence'.

• “The presence of so many men encourage.” — again agrees with 'men' rather than 'the presence', and additionally drops the progressive auxiliary the intended continuous sense needs.

• “The presence of so many man is encouraging.” — pairs the plural quantifier 'many' with the singular noun 'man', breaking determiner-noun agreement; the correct plural form is 'men'.

Cross-check: Replacing 'so many men' with an unambiguously singular phrase — e.g. “The presence of the manager is encouraging” — confirms the verb must stay singular regardless of what follows 'of'. Only the first sentence satisfies this, so “The presence of so many men is encouraging.” is the grammatically correct sentence.