(Mr. Ray is the secretary and his wife is the treasurer)
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Correct option is
The information in the adjoining bracket states that the positions of 'Secretary' and 'Treasurer' are held by two people, hence we need to add an article before each noun to modify it. Option D is incorrect. Option A is incorrect because the position is unique, there can only be one in that setting and by using 'a' we change the meaning to 'one of many'. Option B is incorrect because the noun is a unique position and is specific, hence an indefinite article is not used. Option C is correct because the noun 'Treasurer' is a unique position, hence it is specific, for specific nouns, we use the definite article 'the'.