Problem statementSend feedbackAnjali started conducting weekly tests on Friday evening. The marks in this test was used as a metric to judge student's grasp over concepts discussed in this week. To discourage students from making wild guesses, she awarded +4 for correct responses and -1 for incorrect responses. No marks were awarded or deducted for unattempted questions.The top scorer of last weekly test was Afzal. Afzal scored 300 marks. If he attempted all the 200 questions, then can you tell us how many questions were answered correctly by him.00 : 23 : 353/15 attemptedEndOptions: Pick one correct answer from below100809095
Question
Problem statementSend feedbackAnjali started conducting weekly tests on Friday evening. The marks in this test was used as a metric to judge student's grasp over concepts discussed in this week. To discourage students from making wild guesses, she awarded +4 for correct responses and -1 for incorrect responses. No marks were awarded or deducted for unattempted questions.The top scorer of last weekly test was Afzal. Afzal scored 300 marks. If he attempted all the 200 questions, then can you tell us how many questions were answered correctly by him.00 : 23 : 353/15 attemptedEndOptions: Pick one correct answer from below100809095
Solution
The problem can be solved by setting up a system of equations. Let's denote the number of correct answers as x and the number of incorrect answers as y.
From the problem, we know that:
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x + y = 200 (since Afzal attempted all 200 questions)
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4x - y = 300 (since he scored 300 marks, with +4 for correct answers and -1 for incorrect ones)
We can solve this system of equations by substitution or elimination.
Let's use substitution:
From equation 1), we can express y as 200 - x.
Substitute y in equation 2):
4x - (200 - x) = 300 5x - 200 = 300 5x = 500 x = 100
So, Afzal answered 100 questions correctly.
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