Among a sample of diverse

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

TopicsMust be True

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Stimulus

Among a sample of diverse coins from an unfamiliar country, each face of any coin portrays one of four things: a judge’s head, an explorer’s head, a building, or a tree. By examining the coins, a collector determines that none of them have heads on both sides and that on one side have a tree on the other.

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

14.

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

Answer choices

Could Be False5% picked this
All those with an explorer’s head on one side have a building
These were the four options: JT, EB, ET, BT Do all the E's have a B on the other side? No, it's possible to have an explorer's head on one side and a tree on the other.
5%
Could Be False / Illegal Reversal15% picked this
All those with a tree on one side have a judge’s head
These were the four options: JT, EB, ET, BT Do all the T's have an H on the other side? No, it's possible to have a tree one side and a judge, explorer, or building on the other. This answer represents an illegal reversal of the last claim of the stimulus. Last claim: judge's head → tree This answer: tree → judge's head
15%
Could Be False / Illegal Reversal7% picked this
None of those with a tree on one side have an explorer’s head
These were the four options: JT, EB, ET, BT This answer is saying that there would never be an ET (tree + explorer), but that was one of our options. If we're tempted by this answer, we're probably thinking about the final claim with an Illegal Reversal mindset, just like (B). The final claim said, "If there's a judge, there's a tree" but that doesn't mean "if there's a tree, there's a judge". It's possible that there's a tree and a building. It's possible that there's a tree and an explorer.
7%
Correct72% picked this
None of those with a building on one side have a judge’s head
Why this is right
These were the four options: JT, EB, ET, BT This is saying we never get a JB, and that is correct. This answer could be diagrammed like this: Building → not Judge Judge → not Building We know that's true because the final claim says: Judge → Tree (and trees are not buildings)
Skill tested: Must be True · how this choice captures the argument's function is the move to repeat next time.
72%
Could Be False / Illegal Reversal1% picked this
None of those with an explorer’s head on one side have a building
These were the four options: JT, EB, ET, BT This answer is saying that there would never be an EB (explorer + building), but that was one of our options.
1%

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