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  1. In a colony of 70 residents, the ratio of the number of men and women is 4:3. Among the women, the ratio of the educated to the uneducated is 1:4. If the ratio of the number of education to uneducated persons is 8:27, then find the ratio of the number of educated and uneducated men in the colony?
    2. A.
    1:2
    B.
    3:4
    C.
    1:4
    D.
    2:3
    E.
    None of these

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    Answer : Option E

    Explanation :

    Number of men in the colony = 4/7 (70) = 40
    Number of women in the colony = 3/7 (70) = 30
    Number of educated women in the colony = 1/5 (30) = 6
    Number of uneducated women in the colony = 4/5 (30) = 24
    Number of educated persons in the colony = 8/35 (70) = 16
    As 6 females are educated, remaining 10 educated persons must be men.
    Number of uneducated men in the colony = 40 - 10 = 30
    Number of educated men and uneducated men are in the ratio 10:30 => 1:3

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