Parts C and D have errors. In part C, the preposition 'off' (moving away and often down from) is contextually irrelevant, instead the preposition 'from' is to be used. Similarly, in part D, the plural possessive determiner 'their' is incorrectly followed by the singular noun 'family', which makes the part incorrect, so the plural noun 'families' should replace it.
The correct sentence is: Regardless of their ages, old people want some kind of support from their families.
Hence, the correct answer is option (d).
Note:
A Preposition is a word placed before a noun or a pronoun or a noun equivalent (pronoun, adverb, gerund, infinitive, adverbial clause, or any clause that can be used as the object of the preposition) and shows a relationship in space or time or a logical relationship between two or more people, places, or things in a sentence.
Examples
I. The teacher scolded the child for being late.
II. We're going to a party.
· The words in bold are called prepositions because they normally take position before (pre) a noun/pronoun or a noun equivalent (pronoun, adverb, gerund, infinitive, adverbial clause, or any clause that can be used as the object of the preposition.
· The noun/pronoun which is used with a preposition is called its Object.
Possessive Determiners/Adjectives: Words like 'my', 'our', 'your', 'his', 'her', 'its', and 'their' are known as possessive adjectives (or possessive determiners). They come before nouns and indicate ownership of the noun. Example: "The teacher asked the students to open their drawing books."