Answer:
The correct sentence is:

On weekends, Jim prefers to go outdoors rather than reading at home.

Explanation:

The sentence is discussing Jim's preference on weekends. It states that Jim prefers to go outdoors rather than reading at home. The underlined point is where the sentence needs to be corrected.

In this case, the correct answer is option 'A' - "To read". Here's why:

1. Infinitive verb form:
When we use the phrase "rather than" to show a preference between two activities, we use the infinitive verb form. The infinitive verb form is the base form of the verb, preceded by the word "to". In this sentence, the correct form is "to read", which represents the activity of reading.

2. Parallel structure:
Using the phrase "rather than" requires parallel structure. Parallel structure means that the same grammatical form should be used for both options being compared. In this sentence, the first option is "to go outdoors", which uses the infinitive verb form. Therefore, the second option should also use the infinitive verb form, which is "to read".

3. Subject-verb agreement:
The subject of the sentence is "Jim", and the verb form that agrees with this subject is "prefers". Since "Jim prefers", we cannot use the verb form "reads" (option 'B') because it does not agree with the subject-verb agreement.

4. Participial phrase:
The option "having read" (option 'C') is a participial phrase. Participial phrases are used to describe actions that have already been completed. In this sentence, the phrase "having read" does not fit the context because it implies that Jim has already finished reading before going outdoors.

Therefore, the correct sentence is:

On weekends, Jim prefers to go outdoors rather than reading at home.