In the following question, select the alternative that best improves the bracketed verb form so that the sentence becomes grammatically correct and natural. If no improvement is needed, select "no improvement". We would not want them to think we (doing) anything immoral.

Introduction / Context:
This question checks your knowledge of tense and auxiliary verb usage in reported thought or opinion. The structure "We would not want them to think" introduces an imagined or hypothetical situation, followed by a clause that must be grammatically complete and consistent in tense and number.

Given Data / Assumptions:

• The sentence is: We would not want them to think we (doing) anything immoral.
• The bracketed word must be replaced by a correct verb form.
• The subject of the clause is "we," which is plural.
• The clause describes an ongoing action that the speaker denies.

Concept / Approach:
After the verb "think," we usually need a full clause with subject and finite verb. Here, "we doing" is not a complete clause; it lacks the auxiliary verb. To describe an action in progress in this type of structure, English uses the past continuous or present continuous depending on viewpoint. Because the main clause uses "would not want," it is natural and idiomatic to pair it with "were doing" as a notional past continuous form that fits the hypothetical perspective and plural subject "we."

Step-by-Step Solution:
Step 1: Focus on the clause after "think": "we … anything immoral." Step 2: Recognise that "doing" alone is incomplete and needs an auxiliary verb. Step 3: Match the auxiliary with the plural subject "we," so prefer "were" rather than "was." Step 4: Use the continuous form "were doing" to show an ongoing action that is being denied. Step 5: The final clause becomes "we were doing anything immoral."

Verification / Alternative check:
If we attempt "we was doing," this fails subject verb agreement rules. If we try "we done," that gives a past participle without an auxiliary and changes the aspect from continuous to perfect, which does not fit the structure well. Therefore, "were doing" is the most accurate and natural form.

Why Other Options Are Wrong:

• was doing: The auxiliary "was" is singular and cannot agree with the plural subject "we."
• done: This is a past participle and does not form a proper clause after "we"; it should be part of a perfect structure such as "have done."
• no improvement: Leaving the verb as just "doing" gives a non finite form without an auxiliary, which is ungrammatical in this context.

Common Pitfalls:
Learners often forget that "we" always requires plural agreement ("were") and may mistakenly choose "was" due to its common use in informal speech. Another error is to remove the auxiliary altogether and leave only an -ing form, which is incorrect after verbs like "think" that require a full finite clause.

Final Answer:
The correct improvement of the bracketed part is were doing, giving the sentence: We would not want them to think we were doing anything immoral.