Question

Difficulty: HardMust Be True Questions

An analysis of international sovereign wealth funds (SWFs) reveals that any SWF prioritizing renewable energy investments divests entirely from fossil fuel derivatives. Furthermore, every SWF that divests entirely from fossil fuel derivatives reports a lower short-term yield than the market average. Currently, most SWFs managed by independent trustee boards prioritize renewable energy investments. Interestingly, some SWFs that report a lower short-term yield than the market average nonetheless maintain an AAA institutional credit rating. No SWF that maintains an AAA institutional credit rating is subject to mandatory quarterly parliamentary audits.

Which one of the following conclusions can be properly drawn from the information above?

  1. A
    Every sovereign wealth fund that reports a lower short-term yield than the market average has divested entirely from fossil fuel derivatives.
  2. Most sovereign wealth funds managed by independent trustee boards report a lower short-term yield than the market average.Answer
  3. C
    Any sovereign wealth fund that does not prioritize renewable energy investments fails to divest entirely from fossil fuel derivatives.
  4. D
    Most sovereign wealth funds that divest entirely from fossil fuel derivatives maintain an AAA institutional credit rating.
  5. E
    Sovereign wealth funds that maintain an AAA institutional credit rating generally avoid fossil fuel derivatives to protect their financial reputation.

Answer

Most sovereign wealth funds managed by independent trustee boards report a lower short-term yield than the market average.
This conclusion is deductively valid by combining a 'most' premise with a chain of universal premises. The stimulus establishes that most independent boards prioritize renewables, and every fund that prioritizes renewables ultimately reports a lower yield. If most of group X is in group Y, and all of group Y is in group Z, it logically guarantees that most of group X is in group Z.

Step-by-Step Solution

1
Map the formal logic relationships provided in the stimulus.
1. Prioritize Renewable -> Divest Fossil Fuels. 2. Divest Fossil Fuels -> Lower Yield. 3. Independent Board -[most]-> Prioritize Renewable. 4. Lower Yield -[some]- AAA Rating. 5. AAA Rating -> NO Parliamentary Audits.
Tracking conditional statements and quantifiers (all/any/every, most, some) is essential for evaluating valid deductions.
2
Chain the absolute (universal) conditional statements together.
Since Prioritize Renewable -> Divest Fossil Fuels, and Divest Fossil Fuels -> Lower Yield, we can combine these to form a longer chain: Prioritize Renewable -> Lower Yield.
Transitive properties of formal logic allow us to connect conditional chains to find implicit universal truths.
3
Combine the universal chain with the 'most' quantifier statement.
We know Independent Board -[most]-> Prioritize Renewable. We also know Prioritize Renewable -> Lower Yield. Therefore, we can deduce: Independent Board -[most]-> Lower Yield.
In formal logic, 'Most A are B' combined with 'All B are C' guarantees that 'Most A are C'.
4
Evaluate the answer choices against the deduced relationships.
The deduction 'Independent Board -[most]-> Lower Yield' perfectly matches one of the options. The other choices feature logical fallacies such as illegal reversals, illegal negations, or reliance on outside information.
A valid inference must be 100% provable from the text without any external assumptions.

Key Concept

Chaining Quantifiers and Conditionals (Most A are B + All B are C = Most A are C)
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