In a family of eight members – M, N, O, P, Q, R, S, and T, there is no single parent in this three-generation family. How is S related to M?

Consider the following statements:

**Statement I:** S is married to N. P is the sister of T. Q is the son-in-law of O.

**Statement II:** N is the father of P. R is the brother of P. O and T are married. T is the mother of M.

**Statement III:** N is the wife of S. Q is the daughter of O.

Which of the following options is correct regarding the sufficiency of the statements to determine the relationship between S and M?

Question

In a family of eight members – M, N, O, P, Q, R, S, and T, there is no single parent in this three-generation family. How is S related to M?

Consider the following statements:

**Statement I:** S is married to N. P is the sister of T. Q is the son-in-law of O.

**Statement II:** N is the father of P. R is the brother of P. O and T are married. T is the mother of M.

**Statement III:** N is the wife of S. Q is the daughter of O.

Which of the following options is correct regarding the sufficiency of the statements to determine the relationship between S and M?

Accepted Answer

**Solution:**

1. **Analyze Statement I:**
   - S is married to N.
   - P is the sister of T.
   - Q is the son-in-law of O.

From this, we know the marital relationship between S and N and some sibling and in-law relations, but we cannot determine how S is related to M.

2. **Analyze Statement II:**
   - N is the father of P.
   - R is the brother of P.
   - O and T are married.
   - T is the mother of M.

This statement gives us parental and spousal relationships involving N, P, O, T, and M, but without knowing S's relation to N, we cannot conclude S's relation to M.

3. **Combine Statements I and II:**
   - From Statement I, S is married to N.
   - From Statement II, N is the father of P, and T is the mother of M.
   - Since O and T are married, and Q is the son-in-law of O (from Statement I), we can deduce the family structure.
   - Since S is married to N (Statement I), and N is father of P (Statement II), S is the mother of P.
   - T is mother of M (Statement II), and O and T are married, so O is father of M.
   - Since P is sister of T (Statement I), and T is mother of M, P is M's aunt.
   - Therefore, S, being married to N (father of P), is M's grandmother.

4. **Statement III alone or combined with I does not provide enough clarity** because it contradicts the gender roles (N is wife of S, conflicting with Statement I).

**Answer:** Both statements I and II together are sufficient to determine how S is related to M.

**Final Answer:** Option (b) If both statements I and II are sufficient.

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