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    • Question

      Find the quotient, when the mean proportional of 7(1/2)

      and 245 is divided by an even prime number.
      A 49 Correct Answer Incorrect Answer
      B 42 Correct Answer Incorrect Answer
      C 21 Correct Answer Incorrect Answer
      D 36 Correct Answer Incorrect Answer

      Solution

      Convert 7(1/2) to improper fraction:
      7(1/2) = 15/2

      Mean proportional of 15/2 and 245 = √[(15/2) × 245]
      = √[(15 × 245) / 2]
      = √[3675 / 2]
      = √1837.5

      Now divide by the only even prime number, 2:
      Quotient = (√1837.5) ÷ 2 = 21.4325

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