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    Which of the following ratios is greatest?
    Question

    Which of the following ratios is greatest?

    A.

    41 : 64

    B.

    50 : 59

    C.

    26 : 90

    D.

    40 : 70

    Correct option is B

    Given:

    Ratios to compare: 41 : 64, 50 : 59, 40 : 70, 26 : 90

    Solution:

    4164=0.640625,50590.84746,4070=470.57143,2690=13450.28889\frac{41}{64}=0.640625,\quad\frac{50}{59}\approx0.84746,\quad\frac{40}{70}=\frac{4}{7}\approx0.57143,\quad\frac{26}{90}=\frac{13}{45}\approx0.28889 

    Since (0.84746) is the largest, the greatest ratio is 50 : 59.

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