UPSC Prelims 2011·CSAT·Quantitative Aptitude·Arithmetic

In a group of persons, 70% of the persons are male and 30% of the persons are married. If two sevenths of males are married, what fraction of the females is single?

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Last updated 23 May 2026, 3:31 pm IST
  1. A2/7
  2. B1/3
  3. C3/7
  4. D2/3Correct

Explanation

Let's assume the total number of persons in the group is 100. 1. Males = 70% of 100 = 70 2. Females = 30% of 100 = 30 3. Total married persons = 30% of 100 = 30 4. Married males = (2/7) of total males = (2/7) * 70 = 20 5. Married females = Total married persons - Married males = 30 - 20 = 10 6. Single females = Total females - Married females = 30 - 10 = 20 7. Fraction of females that is single = (Single females) / (Total females) = 20 / 30 = 2/3 Therefore, 2/3 of the females are single. Option D is correct.
Quantitative Aptitude: In a group of persons, 70% of the persons are male and 30% of the persons are married. If two sevenths of males are marr

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