Yes, you can use the GMAT AWA section to demonstrate your problem-solving and critical reasoning abilities. Here's how:

1. Understand the AWA Section:
- The Analytical Writing Assessment (AWA) section of the GMAT consists of one essay prompt that assesses your ability to think critically and communicate your ideas effectively.
- The AWA section requires you to analyze an argument and construct a well-structured essay with clear reasoning and supporting evidence.

2. Problem-Solving Skills:
- The AWA section provides an opportunity to showcase your problem-solving skills by critically evaluating the argument presented in the prompt.
- You need to identify logical flaws, assumptions, and weaknesses in the argument and propose alternative explanations or counterarguments.
- By effectively analyzing the argument, you demonstrate your ability to identify and solve problems, which is a valuable skill in many professional settings.

3. Critical Reasoning Abilities:
- The AWA section also allows you to exhibit your critical reasoning abilities by constructing a well-reasoned and coherent essay.
- You need to develop a clear structure for your essay, including an introduction, body paragraphs, and a conclusion.
- Within each paragraph, you should provide logical reasoning, relevant examples, and supporting evidence to strengthen your argument.
- By showcasing your critical reasoning abilities, you demonstrate your capacity to evaluate information, identify strengths and weaknesses, and make sound judgments.

4. Effective Communication:
- In addition to problem-solving and critical reasoning, the AWA section evaluates your ability to communicate effectively.
- You should focus on clarity, coherence, and organization in your essay.
- Use appropriate vocabulary, sentence structure, and grammar to convey your ideas clearly.
- By effectively communicating your thoughts, you demonstrate your ability to articulate complex ideas, which is essential in various professional and academic contexts.

Conclusion:
The GMAT AWA section provides an excellent opportunity to showcase your problem-solving and critical reasoning abilities, along with effective communication skills. By carefully analyzing the argument, constructing a well-reasoned essay, and communicating your ideas clearly, you can demonstrate your strengths in these areas.