Must be FalseDiff: Hardest

Logic Breakdown

Passage Summary: If the economy is bad, prices stay the same and unemployment goes up. Unemployment only goes up if investment drops. We know for a fact that investment is not dropping.

Reasoning: The passage establishes conditional relationships between economic weakness, price stability, unemployment, and investment levels, then provides a specific fact about investment.

Analysis: This is a logic puzzle where we must identify a statement that contradicts the deductions we can make from the premises. We are told investment is not decreasing; using the contrapositive of the second sentence, we know unemployment is not rising. Since unemployment is not rising, the first sentence tells us the economy cannot be weak. Any answer choice that claims the economy is weak or that unemployment is rising would be a direct violation of these rules.

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20.

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

Correct Answer
A
“Either the economy is weak or investment is decreasing” (W ∨ D) must be false because we derived ~W and ~D from the premises, making both disjuncts false.
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