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    In an examination containing 10 questions, each correct answer is awarded 2 marks, each incorrect answer is awarded-1 and each unattempted question is
    Question

    In an examination containing 10 questions, each correct answer is awarded 2 marks, each incorrect answer is awarded-1 and each unattempted question is awarded zero. Which of the following CANNOT be a possible score in the examination?

    A.

    19

    B.

    -7

    C.

    17

    D.

    -9

    Correct option is A

    Given:-
    Total number of questions:10.
    Marks for each question:
    Correct Answer:+2 marks.
    Incorrect Answer:−1 mark.
    Unattempt Question:0 marks.
    Formula Used:-
    Total number of questions: x+ y +z =10, where:
    x: Number of correct answers.
    y: Number of incorrect answers.
    z: Number of unattempt questions.
    Solution:-
    x + y + z =10,
    Score = 2x − y.
    For 19
    2x−y=19.
    Rearrange: y=2x−19.
    x +y+ z=10:
    x+(2x−19)+z=10
    3x+z=29
    x  > 9, which is impossible since the maximum number of correct answers is 10.
    Score is not achievable.
    Thus the correct answer is option (A) 19

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