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      Question

      Given p : q = 5 : 6, find the ratio (2p + 3q) : (3p +

      2q)
      A 28:27 Correct Answer Incorrect Answer
      B 24:25 Correct Answer Incorrect Answer
      C 18:23 Correct Answer Incorrect Answer
      D 17:20 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the values of ‘p’ and ‘q’ be ‘5k’ and ‘6k’ respectively.

      So, required ratio = {(2 × 5k) + (3 × 6k)} : {(3 × 5k) + (2 × 6k)}

      = {10k + 18k} : {15k + 12k}

      = 28k : 27k

      = 28 : 27

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