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      Question

      In an objective test, Kavya attempted  70%  of the

      questions. Out of those attempted, she answered  80%  correctly. Each correct answer gives  3 marks  and each wrong answer deducts  1 mark . If her score is  308 , find the total number of questions.
      A 200 Correct Answer Incorrect Answer
      B 120 Correct Answer Incorrect Answer
      C 150 Correct Answer Incorrect Answer
      D 180 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the total number of questions = 100x Number of questions attempted = 100x * 70/100 = 70x Number of correct answers = 70x * 80/100 = 56x Number of wrong answers = 70x – 56x = 14x According to the question, 56x * 3 – 14x * 1 = 308 168x – 14x = 308 154x = 308 x = 2 Total number of questions = 100 * 2 = 200

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