Logical ReasoningDifficulty: Hard

PT111 S3 Q18 Explanation

If there are any inspired performances

A free, expert breakdown of this official LSAT Logical Reasoning question.

TopicsMust be True

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Stimulus

If there are any inspired performances in the concert, the audience will be treated to a good show. But there will not be a good show unless there are sophisticated listeners in the audience, one must understand one’s musical roots.

What this question is testing

Must be True

Your task

Break the argument into its conclusion and evidence, then do exactly what the question stem asks with that structure.

Common trap

Answers that sound relevant to the topic but don't connect to the argument's actual reasoning.

Winning move

Predict what a right answer must do, then test each choice against the conclusion-evidence gap.

Reading along? Open the full official question in LawHub — we show a fragment here and keep the reasoning in our own words.

The question
18.

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

Answer choices

  1. Correct62% picked this

    If there are no sophisticated listeners in the audience, then there will be no inspired musical

    Why this is right

    This is the chain we have. inspired ? good ? sophistic ? underst performances show listeners m. roots This answer is derivable by contrapositive. We know, not ? not ? not ? not 4th 3rd 2nd 1st This is testing us on that not-3rd implies not-1st subset of the chain. Here's the contrapositive chain: don't not not not und ? sophis ? good ? inspired roots listeners show performances We can definitely derive this connection. Why are they testing a 3 to 1 connection rather than a 4 to 1 connection? No reason. They just like to keep us guessing. We assume they'll want to test the bookends of the chain, to reward us for putting the whole thing together, but they sometimes just test some subset of the chain.

    Skill tested: Must be True · how this choice captures the argument's function is the move to repeat next time.

  2. Illegal Negation9% picked this

    No people who understand their musical roots will be in the audience if the audience will not be

    This answer is doing an illegal negation of the chain we have. This is what we know: inspired ? good ? sophistic ? underst performances show listeners m. roots This is what this answer is saying: not good ? don't understand show musical roots We can't take a chain that says, 1 ? 2 ? 3 ? 4 and derive not 1 ? not 2 ? not 3 ? not 4 That's an illegal negation, which is never a valid inference in conditional logic.

  3. Illegal Reversal8% picked this

    If there will be people in the audience who understand their musical roots, then at least one musical performance in

    This answer is doing an illegal reversal of the chain we have. This is what we know: inspired ? good ? sophistic ? underst performances show listeners m. roots This is what this answer is saying: understand ? inspired musical roots performance We can't take a chain that says, 1 ? 2 ? 3 ? 4 and derive 4 ? 1 That's an illegal reversal, which is never a valid inference in conditional logic.

  4. Illegal Reversal14% picked this

    The audience will be treated to a good show unless there are people in the audience who do

    This answer is doing an illegal reversal of the chain we have. This is what we know: inspired ? good ? sophistic ? underst performances show listeners m. roots This is what this answer is saying: understand ? good musical roots show When we're diagramming this answer choice, which uses unless, we can apply the "if-not" to either idea in the conditional. "If audience not treated to good show, there are people who don't understand their musical roots" not good show ? not understand roots (If we diagrammed it this way, we would have called this an illegal negation of our chain) "If there are not people who do not understand their roots, then good show" (This is how we diagrammed it above. The double-negative of "there are not people who don't understand" becomes "the people do understand") We can't take a chain that says, 1 ? 2 ? 3 ? 4 and derive or derive 4 ? 2 not 2 ? not 4

  5. Illegal Reversal7% picked this

    If there are sophisticated listeners in the audience, then there will be inspired musical performances

    This answer is doing an illegal reversal of the chain we have. This is what we know: inspired ? good ? sophistic ? underst performances show listeners m. roots This is what this answer is saying: sophisticated ? inspired listeners performances We can't take a chain that says, 1 ? 2 ? 3 ? 4 and derive 3 ? 1 That's an illegal reversal, which is never a valid inference in conditional logic.

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