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In an examination, there were 75 questions. 3 marks were awarded for each correct answer, 1 mark was deducted for each wrong answer and 1 mark was awarded for each unattempted question. Rayan scored a total of 97 marks in the examination. If the number of unattempted questions was higher than the number of attempted questions, then the maximum number of correct answers that Rayan could have given in the examination is
    Correct answer is '24'. Can you explain this answer?
    Most Upvoted Answer
    In an examination, there were 75 questions. 3 marks were awarded for e...
    Given Information:
    - Total number of questions = 75
    - Marks awarded for each correct answer = 3
    - Marks deducted for each wrong answer = 1
    - Marks awarded for each unattempted question = 1
    - Total marks scored by Rayan = 97
    - Number of unattempted questions > Number of attempted questions

    Objective:
    To find the maximum number of correct answers that Rayan could have given in the examination.

    Approach:
    Let's assume that the number of attempted questions by Rayan is 'x'. Since the number of unattempted questions is higher than the number of attempted questions, the number of unattempted questions would be greater than 'x'.

    Calculation:

    1. Marks obtained from correct answers = 3 * x
    2. Marks deducted from wrong answers = 1 * (75 - x)
    3. Marks obtained from unattempted questions = 1 * (75 - x)

    The total marks scored by Rayan is given as 97.

    So, the equation can be formed as:
    3x - (75 - x) + (75 - x) = 97

    Simplifying the equation:
    3x + x - 75 + 75 - x = 97
    3x - x - x = 97 - 75
    x = 22

    Since the number of unattempted questions is greater than 'x', let's assume the number of unattempted questions is 'y'.

    So, y > x
    y > 22

    Also, the total number of questions is given as 75.
    So, x + y = 75
    22 + y = 75
    y = 75 - 22
    y = 53

    Conclusion:
    The maximum number of correct answers that Rayan could have given in the examination is 22.
    Rayan could have attempted 22 questions correctly, leaving 53 questions unattempted.
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    In an examination, there were 75 questions. 3 marks were awarded for each correct answer, 1 mark was deducted for each wrong answer and 1 mark was awarded for each unattempted question. Rayan scored a total of 97 marks in the examination. If the number of unattempted questions was higher than the number of attempted questions, then the maximum number of correct answers that Rayan could have given in the examination isCorrect answer is '24'. Can you explain this answer?
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