LSAT 121 – Section 1 – Question 14

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Question
QuickView
Type Tags Answer
Choices
Curve Question
Difficulty
Psg/Game/S
Difficulty
Explanation
PT121 S1 Q14
+LR
Must be true +MBT
Conditional Reasoning +CondR
A
3%
155
B
5%
154
C
3%
156
D
89%
164
E
1%
157
139
147
154
+Medium 145.604 +SubsectionMedium

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 all coins in the sample with a judge’s head on one side have a tree on the other.

Summary
The stimulus can be diagrammed as follows:

Notable Valid Inferences
If you have a judge’s head on one side, you must have a tree on the other side.
If you have an explorer’s head on one side, you can have a building or a tree on the other side.
If you have a building on one side, you can have a building, a tree, or an explorer’s head on the other side.
If you have a tree on one side, you can have a tree, a judge’s head, an explorer’s head, or a building on the other side.

A
All those with an explorer’s head on one side have a building on the other.
This could be false. A coin with an explorer’s head on one side could have a building OR a tree on the other side.
B
All those with a tree on one side have a judge’s head on the other.
This could be false. Any coin with a tree on one side could have a tree, a building, an explorer’s head, or a judge’s head on the other side. (We know JH→T, but it would be confusing the sufficient and necessary conditions to claim that T→ JH).
C
None of those with a tree on one side have an explorer’s head on the other.
This could be false. A coin with a tree on one side can have a tree, a building, an explorer’s head, or a judge’s head on the other side.
D
None of those with a building on one side have a judge’s head on the other.
This must be true. Any coin with a judge’s head on one side must have a tree on the other side, so a coin with a judge’s head on one side would not have a building or an explorer’s head on the other side.
E
None of those with an explorer’s head on one side have a building on the other.
This could be false. A coin with an explorer’s head on one side could have a building or a tree on the other side.

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