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Difficulty: MediumInference and Logical Deduction

Read the following passage carefully:

Under the 2026 Critical Minerals Conservation Protocol, electronics manufacturing firms are granted operational subsidies only if at least thirty percent of the cobalt used in their production lines originates from certified domestic recycling facilities. To receive certification, a recycling facility must prove that its processing methods emit fewer greenhouse gases per ton of recovered cobalt than the national benchmark for primary mining. Small-scale firms with annual revenues below twenty million rupees are exempt from the mandatory thirty percent quota condition, provided they contribute a fixed annual fee to the Renewable Development Fund. Official reports indicate that small-scale firms paying this fee do not receive operational subsidies, as subsidies are strictly contingent upon meeting the recycling threshold. Furthermore, no non-certified recycling facility has been recorded as achieving a lower greenhouse gas emission profile than the national mining benchmark.

Based strictly on the passage above, which of the following statements must logically be true?

  1. Any electronics manufacturing firm that receives operational subsidies under the protocol sources a portion of its cobalt from domestic recycling facilities with greenhouse gas emissions per ton lower than the national mining benchmark.Answer
  2. B
    Small-scale electronics manufacturing firms with annual revenues below twenty million rupees are ineligible to receive operational subsidies even if they fulfill the thirty percent recycling threshold.
  3. C
    Domestic recycling of critical minerals reduces total national greenhouse gas emissions more effectively than primary mining across all industrial sectors.
  4. D
    Contributing a fixed annual fee to the Renewable Development Fund is an implicit prerequisite for large-scale firms attempting to obtain facility certification.

Answer

Any electronics manufacturing firm that receives operational subsidies under the protocol sources a portion of its cobalt from domestic recycling facilities with greenhouse gas emissions per ton lower than the national mining benchmark.
The passage establishes two explicit conditions: first, operational subsidies are granted only when a firm sources at least 30% of its cobalt from certified domestic recycling facilities; second, certification mandates proving lower per-ton greenhouse gas emissions than the national primary mining benchmark. Therefore, any firm receiving subsidies must necessarily source at least some of its cobalt from facilities meeting this lower-emission criterion.

Step-by-Step Solution

1
Identify the conditions required for a firm to receive operational subsidies.
Operational subsidies require sourcing at least 30% cobalt from certified domestic recycling facilities.
The text explicitly states subsidies are granted 'only if at least thirty percent of the cobalt... originates from certified domestic recycling facilities.'
2
Analyze the mandatory criteria for a recycling facility to obtain certification.
Certified facilities emit fewer greenhouse gases per ton of recovered cobalt than the national benchmark for primary mining.
The text establishes that to receive certification, a facility 'must prove that its processing methods emit fewer greenhouse gases per ton of recovered cobalt than the national benchmark.'
3
Deduce the necessary logical conclusion for any subsidized firm.
A subsidized firm meets the 30% quota from certified facilities, which implies sourcing cobalt from facilities emitting fewer greenhouse gases per ton than the primary mining benchmark.
Combining Premise 1 and Premise 2 yields a logically necessary implication.

Key Concept

Valid Deductive Inference from Explicit Policy Premises
Estimated Time:1m 30s
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Topics

Inference and Logical Deduction

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