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      Question

      The average number of Scholarship received by (5p + 2)

      students is ‘p’. If there had been 8 students less then each student would have got (p + 2) Scholarship. Determine the value of ‘p’. 
      A 5 Correct Answer Incorrect Answer
      B 3 Correct Answer Incorrect Answer
      C 7 Correct Answer Incorrect Answer
      D 6 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Total number of Scholarship distributed = (5p + 2) × p Also, total Scholarship distributed to (5p + 2 – 8) students = (5p – 6)(p + 2) Therefore, 5p2 + 2p = 5p2 + 10p – 6p – 12 Or, 2p = 12 Or, p = 6

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