Statement — The state government has decided to appoint four thousand primary school teachers during the next financial year.\n\nAssumptions —\nI. There are enough schools/vacancies to absorb four thousand additional primary teachers in the state.\nII. Eligible candidates may not be interested to apply because the Government may ultimately not appoint such a large number.

Introduction / Context:
The statement announces a sizable recruitment plan for primary school teachers. In statement–assumption problems, we ask what must be presupposed for this announcement to make sense without adding external facts. Hiring at this scale is meaningful only if the system can place the new teachers in sanctioned posts or classrooms where they are actually needed.

Given Data / Assumptions:

• Decision: appoint 4000 primary school teachers next financial year.
• Assumption I: the education system has adequate sanctioned posts/schools to accommodate them.
• Assumption II: candidates may be uninterested due to doubts about actual appointments.

Concept / Approach:
For the decision to be operationally coherent, the state must be able to deploy these teachers (vacancies, budget, classrooms). That is exactly Assumption I. Assumption II is a pessimistic speculation about candidate motivation; it is not necessary for the decision to be issued, and indeed contradicts the rationale of announcing recruitment to attract applicants.

Step-by-Step Solution:

Verification / Alternative check:
Even if interest levels vary, the statement remains meaningful as long as the system can accommodate recruits. Therefore I holds; II is not required.

Why Other Options Are Wrong:

Common Pitfalls:
Confusing necessary operational capacity with uncertain applicant behavior.

Final Answer:
Only Assumption I is implicit.