Must be TrueDiff: Medium

Logic Breakdown

Passage Summary: If a motor is soundproof, it works for home appliances. If it works for home appliances, it can be used in institutions. EM Industries makes motors that are not quiet enough for home appliances.

Reasoning: Sound insulation is a sufficient condition for a motor being quiet enough for appliances, which in turn is a sufficient condition for institutional use; however, EM Industries' motors are explicitly not quiet enough for appliances.

Analysis: This stimulus provides a chain of conditional statements: Sound-Insulated → Quiet (Appliances) → Institutional Use. We are then given a fact that triggers the contrapositive: EM motors are NOT Quiet (Appliances). From this, we can definitely conclude that EM motors are NOT sound-insulated. Be careful not to conclude that they cannot be used in institutions; that would be a mistake of denying the antecedent, as there might be other ways to qualify for institutional use.

Passage Stimulus

Passage Redacted

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17.

If the statements above are true, which one of the following must be true?

Correct Answer
B
By contrapositive of S -> H (¬H -> ¬S) and given that none of EM’s motors are H, it must be that none are S.
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