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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 educated to uneducated persons is 8 : 27, then find the ratio of the number of educated to uneducated men in the colony?
Options:
A .  1 : 2
B .  3 : 4
C .  1 : 4
D .  2 : 3
E .  None of these
Answer: Option E


Number of men in the colony = 4/7 * 70 = 40.Number of women in the colony = 3/7 * 70 = 40.Number educated women in the colony = 1/5 * 30 = 6.Number of uneducated women in the colony = 4/5 * 50 = 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 i.e., 1 : 3.



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