Question number four. The Larch.
This one actually doesn’t come from Barron’s, but from the Princeton Review online practice LSAT that I took a couple of days ago. And it’s an Analytical Reasoning question rather than Logical Reasoning. These are those logic games that people like to play, where it gives you a scenario (ex. “There are six people sitting around a table.”) and the facts and conditions of that scenario (“John is not sitting next to Betty. Fran is married to Mr. Merkin. Two of the men are wearing goatees, and one of them is not Frank.”). Then you have to fill in the blanks as much as possible, while each question revises the conditions a little and asks how the picture is further filled in.
There are usually about six questions for a given scenario. I’m only going to give you a single question and a scenario–it’s the question that really bugged me when I took the test. And here’s the caveat: I’m not giving you the answer Princeton Review gave. It’s irrelevant, because as far as I can see the added condition in this scenario makes the original scenario impossible. And you can’t have that. So I just want the gamespeople amongst us to tell me whether in fact this puzzle can be solved. No logic needed.
Here’s the question. Rather, it’s a paraphrase of mine, since the test was online, but the conditions are accurate:
There are six electrical towers, A, B, C, D, E, and F. These towers are arranged in two parallel rows of three, with A, B, and C in row one, and D, E, and F in row two. Like this:
A D
B E
C F
There is a single line of trenches connecting all six towers. Here are the conditions for how the trench line has been constructed:
Every tower is connected by a trench to at least one other tower. No tower is connected to more than two other towers by a trench–that is, no tower is the nexus for more than two trenches. Towers may be connected diagonally, but not by way of a curved trench. No two trenches may intersect. A trench connects towers A and E. A trench connects towers B and C.
Got that? Those are the initial conditions. Now the question I have trouble with adds the following factor to the equation:
No towers can be connected to the tower directly across (to the left or right) from them.
Now, my observation is this. There is no way you can satisfy the previous conditions without connecting two towers which are across from one another. I’d like someone else to test that.
The question actually said, “If no tower can be connected to the tower directly across from it, which of the following MUST be true?” It listed five choices, three of which were obviously wrong. The remaining two were: C) F is connected to exactly two other towers, and D) E is connected to F.
As far as I can see here, even if you could meet the above condition, these two choices are mutually inclusive. If no towers connect across from one another, and F is connected to exactly two towers, then it must be connected to E. Thus my confusion.
I said I wasn’t going to show the answer that the Review gave, because it doesn’t matter. And it doesn’t. But to those of you who need to know, I’m pretty sure they chose D.
So assist me here, kind folk: is there any way to meet the condition of the question while staying true to the initial conditions of the scenario? If there is, I can’t find it. And if there isn’t, it ain’t just Barron’s that’s wacky. And that’s a frightening thought.
Want another?