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    Question

    In the Reebok factory, there are two units of workers, I

    and II, with a strength ratio of 2:1. The ratio of male to female in Unit I is 3:1, and in Unit II, it is 3:5. Workers from both units are arranged in rows of male and female, with each row having an equal number of workers. If the maximum number of workers possible in a row is 96, what is the difference between the number of Females in Unit I and Unit II?
    A 32 Correct Answer Incorrect Answer
    B 96 Correct Answer Incorrect Answer
    C 128 Correct Answer Incorrect Answer
    D 48 Correct Answer Incorrect Answer

    Solution

    Let the strength of Unit I = 16k and Unit II = 8k Unit I ratio of Male: female = 3: 1┬а тЖТ male = 12k and female = 4k Unit II ratio of Male: female = 3: 5┬а тЖТ Male = 3k and female = 5k (I + II) тАУ Male = 15k and Female = 9k Maximum number of workers in a row┬а = HCF (15k, 9k)┬а = 3k тЖТ 3k = 96 тЖТ k=32 Difference between females of Unit I and II┬а = 5k тАУ 4k┬а = k тЖТ 1├Ч 32┬а = 32.

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