Statement — The local citizens group submitted a memorandum to the civic authority requesting permission to convert a vacant plot in the locality into a public garden at their own cost.\n\nAssumptions —\nI. The citizens group can arrange sufficient funds to develop the garden.\nII. The civic authority will refuse the request.

Introduction / Context:
The memorandum requests permission to create a garden at the group’s expense. Such a request presupposes that the group can reasonably mobilize funds and resources to execute the plan. It does not require assuming a negative response from the authority; if anything, the act of formally applying presumes that approval is possible and worth pursuing.

Given Data / Assumptions:

• Action: submit request to convert a plot into a garden at own cost.
• I: capability to raise adequate funds and manage development.
• II: expectation that the authority will deny permission.

Concept / Approach:
For a request to be rational, the petitioners must believe they can carry out the proposal upon approval (I). Presuming refusal (II) would undermine the purpose of petitioning and is not required for the statement to make sense.

Step-by-Step Solution:

Verification / Alternative check:
Even if the authority later denies the request, the statement about submission remains coherent without presupposing denial in advance.

Why Other Options Are Wrong:

Common Pitfalls:
Confusing strategic pessimism with logical presupposition; petitions usually rest on the hope of acceptance and on capability to execute.

Final Answer:
Only Assumption I is implicit.