What color are your new shoes? ?

The correct answer to the question "What color are your new shoes?" is C: "They’re brown." This option is grammatically correct, concise, and adequately conveys the intended information.

Let's break down the other options to understand why they are less suitable:

A) "They are brown color" is awkward due to the redundancy of using both "brown" and "color." Typically, one would simply say "They are brown."

B) "Their brown" is incorrect because "their" is a possessive pronoun that does not fit in context. The sentence needs a linking verb (like "are") to connect the subject with the descriptor.

D) "They are colour brown" is grammatically incorrect; "color" should ideally be used as an adjective rather than a noun in this context. Additionally, using "colour" is acceptable in British English, but the combination with "are" and "brown" doesn’t sound natural.

In contrast, option C is clear and natural. The contraction "They’re" is a common and fluid way to say "They are," making it sound conversational and approachable. Overall, option C effectively answers the question while adhering to standard English usage.