Sure, I can help you check your answers. Here are the corrections:
1. The correct answer is "An indirect request" (not "A question").
2. The answer is correct: "Your application is now being processed."
3. The answer is correct: "Lacks you-attitude because it does not protect the reader's feelings."
4. The correct answer is "When you must inform a subordinate that she has inadvertently made a costly error" (not "When you want to congratulate your subordinate for her promotion").
5. The answer is correct: "Ms. Peters".
6. The answer is correct: "race was mentioned for only one person described and it does not seem relevant to the story."
7. The answer is correct: "Dear Alpha Kappa Psi Member".
8. The correct answer is "When you are denying a customer's request for credit" (not "When you must correct a dangerous practice").
9. The correct answer is "Our new sales reps are Mr. Betz, Mr. Earley, and Carole" (not "Our new sales reps are Mr. Betz, Mr. Earley, and Ms. Wagner").
10. The answer is correct: "Reception for New Nontraditional Students".
11. The correct answer is "Benefits, background information, negative elements, main idea(s), goodwill ending" (not "Background information, negative elements, main idea(s), goodwill ending, benefits").
12. The correct answer is "whether a letter or memo is chosen to deliver the message" (not "your purposes").
13. The answer is correct: "The part can be replaced at no charge only if your unit is less than two years old".
14. The correct answer is "you are presenting policies" (not "the reader's attitude toward the information doesn't matter").
15. The answer is correct: "Understand the rationale behind the pattern so you can modify it when needed".
16. The correct answer is "a face-to-face visit" (not "e-mail").
17. The answer is correct: "Direct request".
18. The answer is correct: "A memo for the file recording actions and rationales".
19. The answer is correct: "in the first sentence of the letter".
20. The answer is correct: "Stress that the reader is welcome to call you anytime if more information is needed".
Overall, you answered 17 out of 20 questions correctly. Well done!