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      Question

       The average marks of 35 Spanish students in a

      mathematics exam is 75. If the marks of their teacher are included, the average increases by 1. Find the marks of the teacher.
      A 100 Correct Answer Incorrect Answer
      B 180 Correct Answer Incorrect Answer
      C 175 Correct Answer Incorrect Answer
      D 165 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total marks of the students excluding teacher = 35 × 75 = 2625 Let the marks of the teacher be ‘m’. According to the question, (2625 + m) / (35 + 1) = 75 + 1 2625 + m = 36 × 76 2625 + m = 2736 m = 2736 – 2625 m = 111. So, the marks of the teacher are 111.

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