In this reported speech question, the direct sentence is Robin said to Peg, "Are you listening? Do not be thick", and you must choose the indirect version that correctly reports both the yes or no question and the negative imperative. Select the option that best preserves the meaning and tone of Robin's words.

Introduction / Context:
This question combines the reporting of a yes or no question with the reporting of a negative command. Robin first checks whether Peg is listening and then tells Peg not to be thick, which is an informal way of saying not to be dull or foolish. In indirect speech, the question Are you listening is converted into an if clause, and the imperative Do not be thick is expressed using a reporting verb such as advised and the infinitive not to be thick. The correct answer must capture both elements in a single sentence.

Given Data / Assumptions:

• Direct sentences: "Are you listening" and "Do not be thick".
• Reporting clause: Robin said to Peg.
• The task is to express both the question and the command in indirect speech.
• Pronouns may need adjustment, but the context suggests he refers to Peg.

Concept / Approach:
For yes or no questions, the usual pattern in reported speech is asked plus if or whether and a clause in normal word order: if he was listening. For negative imperatives, we often use a reporting verb such as told, ordered, or advised plus not to and the base form of the verb: not to be thick. Since Robin is speaking to Peg and telling him not to behave in a foolish way, a verb like advised captures the sense of strong suggestion or warning. The correct answer needs to combine asked for the question and advised for the command, while joining them with and.

Step-by-Step Solution:
First, convert the question Are you listening into indirect form: Robin asked Peg if he was listening, keeping the verb in the past continuous because said is in the past. Second, convert the imperative Do not be thick into a negative infinitive clause: and advised him not to be thick. Third, join the two parts into a single sentence that reflects both aspects of Robin's speech. Fourth, make sure the pronoun he clearly refers to Peg and the verbs asked and advised are appropriate reporting verbs for a question and a piece of advice. Fifth, choose the answer that reads Robin asked Peg if he was listening and advised him not to be thick.

Verification / Alternative check:
To check, imagine turning the indirect sentence back into direct speech. From Robin asked Peg if he was listening and advised him not to be thick we can derive Robin said to Peg, "Are you listening? Do not be thick". The indirect question if he was listening corresponds naturally to Are you listening, and advised him not to be thick returns to Do not be thick. The core meaning and tone are preserved, confirming that the choice is correct.

Why Other Options Are Wrong:
Option B, Robin told Peg to listen to him and not to be thick, reports only an imperative and ignores the original yes or no question Are you listening, so it does not fully reflect the original speech.

Option C, Peg was asked to listen to Robin and not to be thick, changes the sentence into the passive voice and again does not make clear that there was a question plus a follow up command.

Option D, Robin invited Peg to listen and not to be thick, uses invited, which is not an accurate description of the tone; invite is used for polite invitations, not for scolding or warning.

Common Pitfalls:
Students sometimes focus only on one part of a multi part direct sentence and forget to report the other part, especially when there is both a question and a command. Another pitfall is choosing a reporting verb that does not match the tone of the original utterance. Understanding which reporting verbs go with which kinds of clauses, such as asked for questions and advised for suggestions or warnings, is key to handling such problems correctly.

Final Answer:
The indirect sentence that correctly reports both Robin's question and his warning is Robin asked Peg if he was listening and advised him not to be thick.