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Question

How many daughters does K have?
Statement I. L and N are sisters of M.
Statement II. N's mother is K who has only one son.

A
If the data in statement I alone are sufficient to answer the question,while the data in statement II alone not sufficient to answer the question;
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B
If the data in statement II alone are sufficient to answer the question,while the data in statement I all are not sufficient to answer the question;
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C
If the data either in statement I alone or in statement II alone are sufficient to answer the question;
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D
If the data even in both statements I and II together are not sufficient to answer the question;
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E
If the data in both statements I and II together are necessary to answer the question.
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Solution

The correct option is A If the data in both statements I and II together are necessary to answer the question.
From Statement I,
L and N are sisters of M, which means that either M is a boy or a girl who has two sisters.
Nothing can be said about their relationship with K.

From Statement II,
N's mother is K, who has only one son. Since, L and N are sisters, then the only option left is that M is the son.

If we combine both the statements, we can conclude that K is the mother of three children, among which L and N are daughters and M is the son.

Hence, K has 2 daughters.
Option E is correct.

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