Question

Difficulty: EasyInference and Logical Deduction

Read the following passage carefully:

In 2025, the State Agricultural Technology Mission instituted a financial subsidy program for cooperative societies to adopt precision drip-irrigation systems. Under the operational guidelines, only cooperative societies where at least 60% of member farmers hold under two hectares of land are eligible to apply for the 40% capital grant. Furthermore, full grant disbursement is conditional upon the cooperative establishing an automated soil-moisture telemetry system within six months of initial approval. Cooperatives failing to operationalize the telemetry system within this six-month window forfeit the remaining portion of their grant and must return any funds already disbursed.

Based on the passage above, which of the following statements can be logically inferred? Select all that apply.

  1. A cooperative society in which 50% of member farmers hold under two hectares of land cannot qualify for the capital grant under this subsidy program.Answer
  2. A cooperative that receives initial approval but fails to operationalize the soil-moisture telemetry system within six months is obligated to refund the funds it already received.Answer
  3. C
    Precision drip-irrigation systems are universally the most cost-effective solution for all agricultural crop yields in the state.
  4. D
    The State Agricultural Technology Mission provides complete 100% capital funding to cover all equipment costs for eligible cooperatives.

Answer

The valid inferences are that a cooperative with 50% smallholders cannot qualify for the grant, and that a cooperative failing to set up telemetry within six months must refund its initial disbursement.
The valid statements directly reflect the explicit rules in the passage: requiring at least 60% smallholder representation means 50% does not qualify, and failing the six-month telemetry deadline explicitly mandates returning disbursed funds.

Step-by-Step Solution

1
Analyze the eligibility threshold constraint in the passage.
The passage establishes that eligibility requires 'at least 60% of member farmers' to hold under two hectares. Therefore, any cooperative with less than 60% (such as 50%) is excluded.
This is a direct application of logical deduction based on the numerical condition provided.
2
Analyze the penalty condition for non-compliance with telemetry setup.
The passage explicitly states that failure to operationalize telemetry within six months requires returning any disbursed funds.
This confirms that refunding initial disbursements is a mandatory consequence of failing the six-month deadline.
3
Evaluate the remaining choices against passage facts.
Claims regarding universal cost-effectiveness introduce external assumptions, while claims of 100% funding contradict the explicitly stated 40% grant limit.
Inferences must rely strictly on passage facts without introducing external claims or ignoring stated limits.

Key Concept

Inference and Logical Deduction
Rate this question