In an examination, passing percentage is 33%. A student secured 42 marks and failed by 24 marks. Find the maximum marks of the examination.Options150100180200

1. Break Down the Problem

To find the maximum marks of the examination, we need to determine:

• The passing marks based on the passing percentage.
• The relationship between the marks obtained by the student, the passing marks, and the maximum marks.

2. Relevant Concepts

The passing percentage is 33%. This means the passing marks can be represented as: $\text{Passing Marks} = 0.33 \times \text{Maximum Marks}$

The student secured 42 marks and failed by 24 marks. Therefore: $\text{Passing Marks} = 42 + 24 = 66$

3. Analysis and Detail

Now, we can set up the equation using the passing marks: $0.33 \times \text{Maximum Marks} = 66$

To find the maximum marks, we rearrange the equation: $\text{Maximum Marks} = \frac{66}{0.33}$

Now performing the calculation: $\text{Maximum Marks} = 66 \div 0.33 = 200$

4. Verify and Summarize

After calculating, we find that the maximum marks for the examination is 200. This checks out with our original assumptions and calculations.

Final Answer

The maximum marks of the examination is 200.