The statement 'Everyone has a father, but not every father has a son'

The statement ‘Everyone has a father, but not every father has a son’ implies that

[amp_mcq option1=”every father has at least one son” option2=”not every parent is a male” option3=”some parents have daughters” option4=”no father has just one son” correct=”option3″]

This question was previously asked in

UPSC CAPF – 2011

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The statement ‘Everyone has a father, but not every father has a son’ implies that some parents have daughters.

The second part of the statement, “not every father has a son,” means that there exists at least one father who does not have a son. Since being a father implies having children, a father who does not have a son must have at least one daughter (they could have only daughters or daughters and no sons). Fathers are parents. Therefore, there exists at least one parent (a father) who has a daughter (or daughters).

Option A is directly contradicted by the second part of the premise. Option B is true in reality (mothers are parents and are female), but it is not implied by the statements given, which are focused on fathers and their children. Option D is not implied; the statement only tells us about fathers who *don’t* have sons, not those who do. A father could have just one son, and the premise would still hold true if there was at least one *other* father who had only daughters.

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