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The passing marks of an exam is 60% marks. A student gets 320 marks and yet fails by 16 marks. What are the maximum marks?
  • a)
    360
  • b)
    420
  • c)
    400
  • d)
    560
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
The passing marks of an exam is 60% marks. A student gets 320 marks an...
Understanding the Problem
To determine the maximum marks of the exam, we first need to analyze the given information:
- The passing marks are 60%.
- A student scores 320 marks but fails by 16 marks.
Calculating the Required Marks to Pass
Since the student fails by 16 marks, we can calculate the marks required to pass:
- Required Marks = Marks Obtained + Marks Needed to Pass
- Required Marks = 320 + 16
- Required Marks = 336
Finding the Maximum Marks
Now that we know the required marks to pass (336), we can set up an equation based on the passing percentage of 60%.
- Let the maximum marks be M.
- According to the passing criteria, 60% of maximum marks must equal 336.
So, we can express this as:
- 0.6 * M = 336
Solving for Maximum Marks
To find M, we rearrange the equation:
- M = 336 / 0.6
- M = 560
Conclusion
Thus, the maximum marks for the exam are:
- Option D: 560
This conclusion is consistent with the problem statement, confirming that the calculations align with the information given.
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Community Answer
The passing marks of an exam is 60% marks. A student gets 320 marks an...
Let the maximum marks be a.
According to the question,
⇒ (60a/100) = 320 + 16
⇒ a = 336/0.6 = 560
∴ Maximum marks are 560.
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The passing marks of an exam is 60% marks. A student gets 320 marks and yet fails by 16 marks. What are the maximum marks?a)360b)420c)400d)560Correct answer is option 'D'. Can you explain this answer?
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