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In an examination, a student has to secu...

In an examination, a student has to secure 35% of the maximum marks to pass. One student got 70 marks and failed by 70 marks. The maximum marks in the examination are

A

400

B

300

C

500

D

200

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem, we need to determine the maximum marks in the examination based on the information given. ### Step-by-Step Solution: 1. **Understand the Passing Criteria:** The student needs to secure 35% of the maximum marks to pass. 2. **Identify the Marks Obtained and the Failure Margin:** The student scored 70 marks but failed by 70 marks. This means that the passing marks are 70 marks more than what the student scored. \[ \text{Passing Marks} = \text{Marks Obtained} + \text{Marks Failed By} \] \[ \text{Passing Marks} = 70 + 70 = 140 \] 3. **Set Up the Equation for Maximum Marks:** Since the passing marks are 35% of the maximum marks, we can express this as: \[ 0.35 \times \text{Maximum Marks} = 140 \] 4. **Solve for Maximum Marks:** To find the maximum marks, we rearrange the equation: \[ \text{Maximum Marks} = \frac{140}{0.35} \] 5. **Calculate the Maximum Marks:** Performing the division: \[ \text{Maximum Marks} = 140 \div 0.35 = 400 \] ### Conclusion: The maximum marks in the examination are **400**.
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