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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 тАШpтАЩ and тАШqтАЩ be тАШ5kтАЩ and тАШ6kтАЩ respectively.

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

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

    = 28k : 27k

    = 28 : 27

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