Question:
Explain the marking scheme for a challenging question in the IIT JAM Mathematics Exam.

Marking Scheme:
The marking scheme for a challenging question in the IIT JAM Mathematics Exam involves several factors that determine the allocation of marks. It is important to understand the criteria used by the examiners to award marks to the candidates. Here is an explanation of the marking scheme for a challenging question:

1. Understanding the Question:
In order to score well in a challenging question, it is crucial to understand the question properly. The examiners assess the candidate's ability to comprehend the problem and interpret it correctly. This includes identifying the key concepts and variables involved.

2. Mathematical Knowledge:
The candidate's mathematical knowledge and understanding are evaluated in a challenging question. This involves applying the relevant mathematical principles, formulas, and concepts to the given problem. The examiner looks for a clear demonstration of mathematical reasoning and logical thinking.

3. Correct Approach:
The approach used to solve the challenging question is also taken into consideration. The examiner evaluates the candidate's ability to devise an appropriate plan or strategy to tackle the problem effectively. This includes analyzing the problem, breaking it down into manageable steps, and applying the appropriate mathematical techniques.

4. Intermediate Steps:
The marking scheme also involves rewarding intermediate steps or workings. Even if the final answer is incorrect, candidates can still earn partial marks for demonstrating correct intermediate calculations or steps. This encourages candidates to show their understanding and progress towards the solution.

5. Accuracy of Final Answer:
The accuracy of the final answer is crucial for scoring well in a challenging question. The examiner checks the correctness of the candidate's solution and verifies if the answer aligns with the given problem. It is important to present the final answer in a clear and concise manner, using appropriate mathematical notation.

6. Presentation and Neatness:
While not directly related to the mathematical content, the presentation and neatness of the solution can impact the allocation of marks. A well-organized and legible solution enhances the examiner's understanding of the candidate's thought process and facilitates easier evaluation.

In conclusion, the marking scheme for a challenging question in the IIT JAM Mathematics Exam evaluates the candidate's understanding of the question, mathematical knowledge, correct approach, intermediate steps, accuracy of the final answer, and presentation. It is essential to demonstrate a clear understanding of the problem, apply the relevant mathematical concepts, and present the solution in a structured and organized manner to score well in such questions.