Eight members A, B, M, N, O, P, Q, and R are part of a family with only two married couples. How is N related to P?

Statements:

I: A is the sister-in-law of P, who is the mother-in-law of Q. R is the parent of A, who is unmarried. B is the father of N. Q is not the wife of N. N, who is married, is not a sibling of A.

II: A is married to B. N is the father of O. A is the father of M. M is the sibling of N.

Based on the above statements, decide which of the following options is correct regarding the sufficiency of data to determine the relationship between N and P.

Question

Eight members A, B, M, N, O, P, Q, and R are part of a family with only two married couples. How is N related to P?

Statements:

I: A is the sister-in-law of P, who is the mother-in-law of Q. R is the parent of A, who is unmarried. B is the father of N. Q is not the wife of N. N, who is married, is not a sibling of A.

II: A is married to B. N is the father of O. A is the father of M. M is the sibling of N.

Based on the above statements, decide which of the following options is correct regarding the sufficiency of data to determine the relationship between N and P.

Accepted Answer

**Solution:**

1. From statement I:
   - A is sister-in-law of P.
   - P is mother-in-law of Q.
   - R is parent of A, and A is unmarried.
   - B is father of N.
   - Q is not wife of N.
   - N is married and not sibling of A.

Since A is sister-in-law of P and unmarried, A must be sister of P's spouse.
   P is mother-in-law of Q, so Q is married to P's child.
   B is father of N, and N is married but not sibling of A.
   This implies N is daughter of P because P is mother-in-law of Q (Q is married to P's child), and N is married but not sibling of A.

Therefore, from statement I alone, we can conclude that N is daughter of P.

2. From statement II:
   - A is married to B.
   - N is father of O.
   - A is father of M.
   - M is sibling of N.

This gives relationships among A, B, M, N, and O but does not clarify how N is related to P.

3. Combining both statements is unnecessary since statement I alone suffices.

**Answer:** Only statement I alone is sufficient.

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