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 Dave Killoran
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#79628
Complete Question Explanation
(The complete setup for this game can be found here: lsat/viewtopic.php?t=6157)

The correct answer choice is (B).

If L is connected to M and O, the following connections result:

PT6-Oct 1992 LG Explanations game 4 #23 diagram 1.png
With L connected to O, O is closed and thus from our inference discussion K must connect to M:
PT6-Oct 1992 LG Explanations game 4 #23 diagram 2.png
Remember, because the bridges can curve as much as needed, we are not worried about the apparent intersection above. We would easily overcome that problem by looping a bridge from K to M around the other islands, but that is a waste of time.

Accordingly, answer choice (B) is correct.

Note that we can also infer that J must connect to L, because J must connect to exactly two bridges, and K, M, and O all have the maximum number of connections allowed by the rules. This information eliminates answer choices (A) and (D).
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 samanthaolive
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#88148
I'm confused about this question due to one of the inferences made:

(L----O) ----> (K---M)
(K---O)---->(L----M)

By connecting K and M, I would think this breaks one of the conditions therefore, that forced me to deny that answer choice. Would you mind explaining this to me, please?
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 Ryan Twomey
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#88180
Hey Samantha Olive,

I would need you to specify which condition the K with M condition breaks. There are no rules that K with M breaks.

But here is how I diagrammed this question, step by step.

1. I brought over the J-----O and the M----O from my original rules. (Rule #7)

2. Then I brought over the L-----M and the L-----O from this question.

3. Then I realized that now we have 3 islands connecting with O, so nobody else can connect with O (because of rule 3)

4. Then I looked at rule 4 (J,K and L are each directly connected by bridge with M or O or both) I then determined that O could not have anymore people connecting to it because of my step #3, so then I realized that K has to connect with M.

5. Because this is a must be true question, I stopped trying to make any more deductions and checked to see if my deduction that K connects by bridge with M was an answer choice. It was answer choice B, so I selected it and moved on to the next question.

I hope my step by step explanation helps. I thought Dave's drawings in this game was very helpful, and I wish you all of the luck in your studies.

Best,
Ryan

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