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      Question

      If A varies directly as B and inversely as C and A = 10,

      B = 5 and C = 6, what is the value of A when B = 5 and C = 4?
      A 24 Correct Answer Incorrect Answer
      B 18 Correct Answer Incorrect Answer
      C 30 Correct Answer Incorrect Answer
      D 15 Correct Answer Incorrect Answer

      Solution

      Let the constant be x, According to the question, => A = x × B/C => 10 = x × 5/6 => x = 12 Now putting the value of A, => A = 12 × (5/4) => A = 15

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