Hint: An analogy is a relation of one item to another, usually for the purpose of interpretation or description. It's a relation or partial similarity. It can also be described as something that is similar to something else in significant ways.
Complete answer: The question is an analogy, so we have to first find the relation between the first two words. Using the relation, we can find the fourth word, which is related to the third word. Vaunt means to compliment something or boast off, whereas Flaunt means to show off or to exhibit. Vaunt and Flaunt are both synonyms to each other. So, we should find the synonym for the word Disparate. Disparate means different.
A) Similar : Similar is the antonym of the word disparate. Hence this is not the correct answer. B) Homogenous : Homogenous means similar. Homogeneous is the antonym of the word disparate. Hence this is not the correct answer. C) Contrast : Contrast means different. Contrast is the synonym of the word disparate. Hence this is the correct answer. D) Alike : Alike means similar. Alike is the antonym of the word disparate. Hence this is not the correct answer. Vaunt : Flaunt :: Disparate : Contrast
Therefore, the correct option is (C) Contrast.
Note: An analogy is a literary technique that is often used in literature and poetry to draw associations between familiar and unknown objects, to imply a deeper meaning, or to evoke imagery in the mind of the reader. Analogies encourage authors to express themselves in a more abstract manner, promoting further thinking.