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      Question

      The sum of two numbers is 40 whereas the sum of their

      reciprocals is (10/3). Find the square of the product of the two numbers.
      A 210 Correct Answer Incorrect Answer
      B 144 Correct Answer Incorrect Answer
      C 169 Correct Answer Incorrect Answer
      D 256 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the two numbers be 'p' and 'q'.

      So, p + q = 40

      And (1/p) + (1/q) = (10/3)

      Or, {(p + q)/(pq)} = (10/3)

      Or, pq = (3/10) × 40 = 12

      So, required square = 12² = 144

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