The correct answer is: A. They would not
The sentence should be: “They would not have been able to plan the details of the job, if you had not cooperated.”
The verb “to be able” takes the infinitive form of the verb after it. In this case, the infinitive is “to plan.” The past participle of “to be able” is “able.” Therefore, the correct phrase is “have been able.”
The word “if” introduces a condition. In this case, the condition is that you had not cooperated. The correct phrase to use after “if” is “had not cooperated.”
The word “the” is
used to refer to a specific thing. In this case, the specific thing is “the details of the job.”The word “job” is a noun. Nouns are typically capitalized.
The comma after “job” is used to separate the independent clause “they would not have been able to plan the details of the job” from the dependent clause “if you had not cooperated.”
The period at the end of the sentence is used to indicate that the sentence is complete.