The correct answer is **Shall** (Option 1). **Comprehensive Derivation:** The correct answer is "Shall" Explanation & Key Takeaways: • In the above question we have to choose the correct form of the auxiliary verb to complete the sentence. • The correct form of modal auxiliary verb for the given sentence is "Shall." • Explanation: • "Shall" is used to make a suggestion or offer, and is often used in the first person (I/we) to indicate that the speaker is making an offer or proposal. • "May" is used to express possibility, permission, or uncertainty. • "Might" is used to express possibility, permission, or uncertainty in the past. • "Will" is used to express future actions, promises, or willingness. • In this sentence, the speaker is offering to do the work for the listener, so "shall" is the most appropriate form of modal auxiliary verb. Correct Sentence: Shall we do the working up for you? **Option Elimination:** • **Option 1 (Shall)**: Correct Answer; accurate according to canonical reference. • **Option 2 (May)**: Incorrect distractor. • **Option 3 (Might)**: Incorrect distractor. • **Option 4 (Will)**: Incorrect distractor. **Exam Trap:** Be careful of misleading distractors and subtle terminology differences. Verify core properties before selecting your answer. **Memory Booster:** Core mnemonic rule: Shall corresponds to Option (1).