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      Question

      Raj scored 140 marks in a test getting 3 marks for each

      right answer and losing 1 mark for each wrong answer, had 4 marks been awarded for each correct answer and 2 marks been deducted for each incorrect answer, then Raj would have scored 170 marks. How many question were there in the test?
      A 80 Correct Answer Incorrect Answer
      B 72 Correct Answer Incorrect Answer
      C 91 Correct Answer Incorrect Answer
      D 68 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the total right answer is xand Total wrong answer = y Raj scored = 140 marks 3 x - y = 140 …………………(i) Raj scored = 170 marks 4 x - 2 y = 170 …………………(ii) Solving these equations, we get x = 55 So total correct answer = 55 Putting the value of x in eq(i) , we get y = 25 Total wrong answers = 25 so the total number of questions = 55 + 25 = 80 

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