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In an examination, A attempted 80% of questions with 50% accuracy and B attempted 60% of questions with 80% accuracy. A wrong answer attracts negative marking of 25%. There are no negative marks for unattempted questions.
What is the difference between marks obtained by A and B?
- a)10
- b)15
- c)20
- d)Cannot be determined
Correct answer is option 'D'. Can you explain this answer?
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In an examination, A attempted 80% of questions with 50% accuracy and ...
Since we don`t know the maximum marks, we cannot find the answer.
Most Upvoted Answer
In an examination, A attempted 80% of questions with 50% accuracy and ...
Calculation:
Let's assume the total number of questions in the examination is 100.
A's attempt and accuracy:
A attempted 80% of the questions, which is 80 questions.
The accuracy of A is 50%, which means A answered 50% of the attempted questions correctly.
So, A answered 50% of 80 questions correctly, which is 40 questions.
B's attempt and accuracy:
B attempted 60% of the questions, which is 60 questions.
The accuracy of B is 80%, which means B answered 80% of the attempted questions correctly.
So, B answered 80% of 60 questions correctly, which is 48 questions.
Negative marking:
A wrong answer attracts a negative marking of 25%.
So, for every wrong answer by A, 25% of the marks will be deducted from the total marks obtained.
Marks obtained by A:
Total marks obtained by A = (Number of correct answers * Marks for each correct answer) - (Number of wrong answers * Marks for each wrong answer)
Total marks obtained by A = (40 * 1) - (40 * 0.25)
Total marks obtained by A = 40 - 10
Total marks obtained by A = 30
Marks obtained by B:
Total marks obtained by B = Number of correct answers * Marks for each correct answer
Total marks obtained by B = 48 * 1
Total marks obtained by B = 48
Difference between marks obtained by A and B:
Difference = Marks obtained by B - Marks obtained by A
Difference = 48 - 30
Difference = 18
Conclusion:
The difference between the marks obtained by A and B is 18. However, since 18 is not one of the given options, the correct answer is "Cannot be determined."
Let's assume the total number of questions in the examination is 100.
A's attempt and accuracy:
A attempted 80% of the questions, which is 80 questions.
The accuracy of A is 50%, which means A answered 50% of the attempted questions correctly.
So, A answered 50% of 80 questions correctly, which is 40 questions.
B's attempt and accuracy:
B attempted 60% of the questions, which is 60 questions.
The accuracy of B is 80%, which means B answered 80% of the attempted questions correctly.
So, B answered 80% of 60 questions correctly, which is 48 questions.
Negative marking:
A wrong answer attracts a negative marking of 25%.
So, for every wrong answer by A, 25% of the marks will be deducted from the total marks obtained.
Marks obtained by A:
Total marks obtained by A = (Number of correct answers * Marks for each correct answer) - (Number of wrong answers * Marks for each wrong answer)
Total marks obtained by A = (40 * 1) - (40 * 0.25)
Total marks obtained by A = 40 - 10
Total marks obtained by A = 30
Marks obtained by B:
Total marks obtained by B = Number of correct answers * Marks for each correct answer
Total marks obtained by B = 48 * 1
Total marks obtained by B = 48
Difference between marks obtained by A and B:
Difference = Marks obtained by B - Marks obtained by A
Difference = 48 - 30
Difference = 18
Conclusion:
The difference between the marks obtained by A and B is 18. However, since 18 is not one of the given options, the correct answer is "Cannot be determined."
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In an examination, A attempted 80% of questions with 50% accuracy and B attempted 60% of questions with 80% accuracy. A wrong answer attracts negative marking of 25%. There are no negative marks for unattempted questions.What is the difference between marks obtained by A and B?a)10b)15c)20d)Cannot be determinedCorrect answer is option 'D'. Can you explain this answer?
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