Introduction:
The Quantitative Reasoning section of the GRE exam requires test-takers to solve complex mathematical problems. These problems often involve multiple steps and require a deep understanding of various mathematical concepts. To effectively tackle these problems, here are some tips to keep in mind:

1. Understand the Problem:
Before diving into solving the problem, take the time to thoroughly understand what is being asked. Identify the given information, what needs to be determined, and any constraints or conditions mentioned. Break down the problem into smaller parts if necessary.

2. Review Relevant Concepts:
Refresh your knowledge of key mathematical concepts that are applicable to the problem at hand. This may include algebra, geometry, number properties, or probability. Make sure you are familiar with the formulas, equations, and theorems related to these concepts.

3. Simplify and Visualize:
If the problem seems overwhelming, try to simplify or reframe it in a more comprehensible way. Visualize the problem by drawing diagrams, creating tables, or using graphs to better understand the relationships between variables or objects.

4. Work Step-by-Step:
Break down the problem into smaller, manageable steps. Solve each step systematically, ensuring accuracy before moving on to the next one. This approach helps prevent errors and allows you to track your progress.

5. Use Process of Elimination:
If you encounter multiple-choice questions, utilize the process of elimination to narrow down your options. Eliminate clearly incorrect answer choices based on your calculations or logical reasoning. This increases your chances of selecting the correct answer.

6. Practice Time Management:
The Quantitative Reasoning section has a time limit, so it is crucial to manage your time effectively. Practice solving problems under timed conditions to improve your speed and accuracy. Prioritize the problems you feel most confident about, ensuring you allocate enough time for more challenging ones.

7. Review Mistakes:
After completing practice sets or mock exams, review your mistakes and understand the reasons behind them. Identify any knowledge gaps or weaknesses and work on improving those areas. Learning from your mistakes is essential for continuous progress.

Conclusion:
Solving complex mathematical problems in the Quantitative Reasoning section requires a combination of understanding the problem, reviewing relevant concepts, simplifying and visualizing, working step-by-step, utilizing the process of elimination, practicing time management, and reviewing mistakes. Regular practice and a thorough understanding of mathematical concepts will greatly enhance your problem-solving skills and increase your chances of success in the GRE exam.