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    Question

    Megha got 38% of the maximum marks in an examination and

    failed by 6 marks. In the same examination Teena got 42% of the total marks which is 14 marks more than the passing marks. What were the passing marks in the examination?
    A 196 Correct Answer Incorrect Answer
    B 185 Correct Answer Incorrect Answer
    C 155 Correct Answer Incorrect Answer
    D 175 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let x is the maximum marks of the examination.   Given that Megha failed by 6 marks   ⇒ Minimum Pass Mark = 38x/100 + 6......(Equation 1)   Given that Teena got 14 marks more than the passing marks   ⇒Minimum Pass Mark =42x/100 −14......(Equation 2)   From equations 1 and 2, we have   => 38x/100 + 6 = 42x/100 − 14   ⇒4x/100 = 20   ⇒ x = 100 × 20/4 = 500   ⇒ Maximum marks of the examination = x = 500   Minimum Pass Mark = 38 × 500/100 + 6 = 190 + 6 = 196

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