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      Question

      During a test, Rahul managed to get 38% and missed the cutoff by 16 marks, while Sneha got 45% and scored 5 marks above the passing marks. What was the pass mark?

      A 152 Correct Answer Incorrect Answer
      B 130 Correct Answer Incorrect Answer
      C 162 Correct Answer Incorrect Answer
      D 148 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Assume maximum marks = 100x

      Rahul's marks = 0.38 Γ— 100x = 38x

      Passing marks = 38x + 16

      Sneha’s marks = 0.45 Γ— 100x = 45x

      Passing marks = 45x - 5

      So, 38x + 16 = 45x - 5

      β‡’ 7x = 21

      β‡’ x = 3

      Passing marks = 38x + 16 = 38 Γ— 3 + 16 = 114 + 16 = 130

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