LSAT Question Stem

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

Logical Reasoning Question Type

This is a Must Be True question. 

Correct Answer

The correct answer to this question is A. 

LSAT Question Complete Explanation

This LSAT problem is a Must Be True (MBT) question, which means we need to find the answer choice that must be true based on the information given in the passage.

Let's first analyze the passage and break down the conditional statements:

Statement 1: If there are any inspired musical performances in the concert, the audience will be treated to a good show.

This can be diagrammed as: Inspired Performances (I) -> Good Show (G)

Statement 2: There will not be a good show unless there are sophisticated listeners in the audience.

This can be diagrammed as: Good Show (G) -> Sophisticated Listeners (S)

Statement 3: To be a sophisticated listener, one must understand one's musical roots.

This can be diagrammed as: Sophisticated Listener (S) -> Understand Roots (U)

Now, let's link these statements together:

I -> G -> S -> U

And the contrapositive:

/ U -> / S -> / G -> / I

Now let's analyze each answer choice:

a) If there are no sophisticated listeners in the audience, then there will be no inspired musical performances in the concert.

This answer choice matches our contrapositive chain: /S -> /I. So, this is the correct answer.

b) No people who understand their musical roots will be in the audience if the audience will not be treated to a good show.

This answer choice is a mistaken negation of the chain: /G -> /S -> /U. The correct chain is /G -> /S -> U. So, this answer choice is incorrect.

c) If there will be people in the audience who understand their musical roots, then at least one musical performance in the concert will be inspired.

This answer choice is a mistaken reversal of the chain: U -> I. The correct chain is U -> S -> G -> I. So, this answer choice is incorrect.

d) The audience will be treated to a good show unless there are people in the audience who do not understand their musical roots.

This answer choice is a mistaken negation of the chain: /U -> /G. The correct chain is /U -> /S -> /G. So, this answer choice is incorrect.

e) If there are sophisticated listeners in the audience, then there will be inspired musical performances in the concert.

This answer choice is a mistaken reversal of the chain: S -> I. The correct chain is S -> G -> I. So, this answer choice is incorrect.

Based on our analysis, the correct answer choice is (a).