Difficulty: Medium
Correct Answer: Neither I nor II is sufficient
Explanation:
Introduction / Context: This Data Sufficiency problem tests careful handling of family trees and multiple possibilities. The aim is to conclude the relation between M and N using the two statements, either separately or together.
Given Data / Assumptions:
Concept / Approach: Build possible family trees consistent with both statements and check whether M's relation to N is uniquely determined. If more than one valid structure exists, the data is insufficient.
Step-by-Step Solution:
Case 1: Let K be M's father. Then K is B's grandfather via M. N is K's son, hence N is M's brother. ⇒ M is sibling of N. Case 2: Let K be the father of M's spouse. Then K is B's grandfather via M's spouse. N is K's son, i.e., M's spouse's brother. ⇒ M is sister-in-law/brother-in-law of N. Both cases satisfy I and II, yet yield different M–N relationships. Therefore, even together the statements do not fix a unique relation.Verification / Alternative check: No additional constraint in either statement eliminates one of the above cases. Hence ambiguity remains.
Why Other Options Are Wrong:
Common Pitfalls: Assuming K must be on M's side without evidence; inferring genders/relations that are not given; overlooking in-law possibilities.
Final Answer: Neither I nor II is sufficient.
Discussion & Comments