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A quiz has a scoring system where each correct answer is awarded 3 marks, and each incorrect answer is deducted 1 mark. Anoop scored 14 marks and had 6 correct answers. Jay scored -2 marks and had 2 c

Mathematics

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Step-by-step solution

2 steps
  1. Calculate incorrect answers for Anoop.

    Anoop scored 14 marks and had 6 correct answers. Each correct answer gives +3 marks, and each incorrect answer gives -1 mark. Anoop answered all questions.
    Marks from correct answers:

    6×3=186 \times 3 = 18

    Marks from incorrect answers:

    Total Score−Marks from correct answers=14−18=−4\text{Total Score} - \text{Marks from correct answers} = 14 - 18 = -4

    Since each incorrect answer is -1 mark, the number of incorrect answers is:

    −4−1=4\frac{-4}{-1} = 4

    Anoop had 4 incorrect answers.

  2. Calculate incorrect answers for Jay.

    Jay scored -2 marks and had 2 correct answers. Jay also answered all questions.
    Marks from correct answers:

    2×3=62 \times 3 = 6

    Marks from incorrect answers:

    Total Score−Marks from correct answers=−2−6=−8\text{Total Score} - \text{Marks from correct answers} = -2 - 6 = -8

    Since each incorrect answer is -1 mark, the number of incorrect answers is:

    −8−1=8\frac{-8}{-1} = 8

    Jay had 8 incorrect answers.

    Anoop had 4 incorrect answers\boxed{\text{4 incorrect answers}} and Jay had 8 incorrect answers\boxed{\text{8 incorrect answers}}.

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