Arbitration exists as an alternative to litigation precisely so that disputes can be resolved without constantly running back to a court, and Section 16 of the Arbitration and Conciliation Act, 1996 is built around that goal. Statement I, that the tribunal may rule on its own jurisdiction, reflects the doctrine of Kompetenz-Kompetenz, letting the tribunal decide at the outset whether it even has authority over the dispute, instead of forcing the parties to first litigate that question in a civil court and only then begin arbitration. Without this power, every arbitration could be stalled indefinitely by a party simply denying the tribunal's authority and dragging the question through the court system, defeating the entire purpose of choosing arbitration in the first place. So Statement I is true, and it serves the goal of keeping arbitration self-contained and efficient.
Statement II serves a related but slightly different purpose. If a party could raise a jurisdictional objection at any point, including after fully participating in the hearing and losing on the merits, it would allow tactical delay and unfairness, letting a losing party manufacture a jurisdictional challenge as an afterthought. Requiring the objection to be raised by the time the statement of defence is filed forces the issue to be settled early, while still leaving room for the tribunal to excuse a late plea if there is genuine justification. This is also true, and it protects the fairness and finality of the arbitral process.
Since both the tribunal's power to rule on its own jurisdiction and the early-objection requirement serve real, complementary purposes within the scheme of the Act, both statements accurately describe the law.
\[ \boxed{\text{Both Statements I and II are true}} \]