Statements: 1) Shyam is not the father of Hari. 2) Hari is the son of Suresh. 3) Suresh has three sons. Conclusions: I. Hari is the brother of Shyam. II. Suresh is the father of Hari.

Introduction / Context:We are given three crisp kinship statements and must test which conclusions necessarily follow.

Given Data / Assumptions:

• Shyam is not Hari's father.
• Hari is Suresh's son.
• Suresh has three sons (their names unspecified beyond Hari).

Concept / Approach:A conclusion follows only when it is compelled by the statements. We avoid inferring relationships that are not pinned down (e.g., brotherhood between two named people without explicit linkage).

Step-by-Step Solution:1) Conclusion II: “Suresh is the father of Hari” directly matches statement (2) — follows immediately.2) Conclusion I: “Hari is the brother of Shyam.” Nothing in the premises says Shyam is Suresh’s son or otherwise related as a sibling to Hari. Shyam could be an uncle, cousin, neighbor, or even Suresh himself (ruled out as father but not otherwise linked). Therefore I does not follow.

Verification / Alternative check:If we had “Shyam is Suresh’s son,” then with (2) Shyam and Hari would be brothers. That link is absent.

Why Other Options Are Wrong:Only I: unsupported. Either I or II: wrong because I does not follow. Neither: wrong because II follows.

Common Pitfalls:Assuming that any two male names in a family statement are brothers; overlooking the need for an explicit sibling link.

Final Answer:if only Conclusion II follows