The following question contains a word following which three sentences have been given where the word has been used. Identify the statements where the word has been used in a contextually and grammatically correct manner.

Muse
(I) The model was the artist’s muse for his famous sculpture.
(II) My infant daughter was the muse who inspired me to get healthy by losing weight.
(III) A business like ours depends on the relationship between the muse side and the customer.

Correct option is D

The correct option is (d) Both (I) and (II).
Explanation:
The word "muse" has two primary meanings:
As a noun, "muse" refers to a person, especially a woman, who is a source of artistic inspiration for a creative artist, typically a writer or a painter.
As a verb, "muse" means to be absorbed in thought or to consider something thoughtfully.
Let's analyze each sentence:
(I) The model was the artist’s muse for his famous sculpture.
This sentence uses the word "muse" correctly as a noun. It means that the model served as the artist's source of artistic inspiration for his famous sculpture.
(II) My infant daughter was the muse who inspired me to get healthy by losing weight.
This sentence uses the word "muse" correctly as a noun. It means that the infant daughter was the source of inspiration for the person to get healthy by losing weight.
(III) A business like ours depends on the relationship between the muse side and the customer.
This sentence uses the word "muse" incorrectly. The word "muse" doesn't fit here, and its usage seems to be a mistake. The correct word in this context might be "service" or "product" side.
Therefore, both statements (I) and (II) use the word "muse" in a contextually and grammatically correct manner. The correct answer is option (d).