Question

Difficulty: HardMust Be True Questions

All municipal bonds issued by the City of Arcadia after 2020 are classified as high-yield. Every high-yield municipal bond currently on the market was evaluated by an independent rating agency. No bond evaluated by an independent rating agency is exempt from the new federal disclosure requirements. However, most of the bonds held by the Global Infrastructure Trust are exempt from the new federal disclosure requirements.

Which of the following must be true on the basis of the statements above?

  1. Most of the bonds held by the Global Infrastructure Trust were not issued by the City of Arcadia after 2020.Answer
  2. B
    Any bond evaluated by an independent rating agency was issued by the City of Arcadia after 2020.
  3. C
    Any bond that was not issued by the City of Arcadia after 2020 is exempt from the new federal disclosure requirements.
  4. D
    None of the bonds held by the Global Infrastructure Trust were issued by the City of Arcadia after 2020.
  5. E
    The new federal disclosure requirements were implemented primarily to regulate high-yield municipal bonds.

Answer

Most of the bonds held by the Global Infrastructure Trust were not issued by the City of Arcadia after 2020.
The correct answer properly combines the conditional chain and the quantifier statement. The first three sentences establish that any bond issued by Arcadia after 2020 is not exempt. The logical contrapositive of this is that any exempt bond was not issued by Arcadia after 2020. Since the stimulus states that most of the Trust's bonds are exempt, those specific bonds (the majority) cannot be Arcadia bonds from after 2020.

Step-by-Step Solution

1
Chain the conditional statements provided in the first three sentences.
If a bond was issued by Arcadia after 2020 -> it is high-yield -> it was evaluated -> it is NOT exempt.
Connecting the conditions allows us to establish the relationship between the first sufficient condition and the final necessary condition.
2
Form the contrapositive of the resulting conditional chain.
If a bond is exempt from the new federal disclosure requirements, it was NOT issued by the City of Arcadia after 2020.
The contrapositive is logically equivalent to the original statement and allows us to connect the chain to the quantifier premise.
3
Combine the contrapositive with the quantifier statement in the final sentence.
Since 'most' Global Infrastructure Trust bonds are exempt, and ALL exempt bonds are not Arcadia bonds issued after 2020, it must be true that 'most' Global Infrastructure Trust bonds are not Arcadia bonds issued after 2020.
When a 'most' statement is combined with an 'all' (or universal) statement that describes the target characteristic of the 'most' group, the deduction carries over to the 'most' group.

Key Concept

Chaining conditional statements, forming contrapositives, and combining them with quantifier logic (Most + All).
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