Statement: The central government has planned to appoint two thousand teachers…

Concept: In Statement-and-Assumption questions, an assumption is something implicitly taken for granted — not stated, but presumed true — for the statement's action or decision to be logical. Apply the negation test: negate the assumption; if that negation makes the statement's plan invalid or unworkable, the assumption is implicit; if the statement still holds fine, it is not implicit. Assumptions that introduce unsupported doubt or speculation about failure, without direct support from the statement, are typically not implicit.

Application:

1. The statement says the government plans to appoint two thousand teachers next year. For this plan to be workable, the government must assume enough vacant teaching posts exist to accommodate these appointees.

2. Negation test on Assumption I: negate it (assume there are NOT enough vacant posts) — the plan to appoint two thousand teachers becomes impossible to execute. Since negating it invalidates the plan, Assumption I is implicit.

3. Assumption II claims eligible candidates may not be interested to apply because government plans "generally fail" — a negative, unsupported generalisation not derived from anything in the statement.

4. Negation test on Assumption II: negate it (candidates are interested and will apply) — the government's plan to appoint teachers remains perfectly sound either way. Since negating it does not undermine the statement, Assumption II is not implicit.

Cross-check: "Either I or II" would apply only if the two assumptions were mutually exclusive alternatives, but I and II address unrelated aspects (vacancy availability versus candidate willingness), so they are not an either/or pair. "Neither" would require both assumptions to fail the negation test, but I passes it. This confirms exactly one assumption — I — is implicit.