- Fri Aug 24, 2012 5:21 pm
#4974
I'll apologize in advance - I'm not so good at using this forum to "draw" my diagrams, but I'll do my best.
My approach to this game, which may not be the optimal approach, was to use templates. My first step was to segregate my boaters into two subsets - Group A (Adults) consisting of FGH, and Group C (Children) consisting of VWXYZ. Next, I created two groups each with four spaces each (I did mine vertically, but horizontally works just as well), something like this:
___ ___
___ ___
___ ___
___ ___
_1_ _2_
I then blocked off the bottom "row" in my setup and set FGH off to the left of that row, telling me that I had to fill those two slots (one in each group) with an adult.
Next, the conditionals: F2 -> G2, and its contrapositive, G1 -> F1; and V1 -> W2 and the contrapositive, W1 -> V2.
Next, I dealt with X & Z - since they cannot be in the same boat, I used our "hurdling the uncertainty" principal and simply placed X/Z in a slot in Group 1 and Z/X in the corresponding slot in Group 2.
Finally, I thought about the inferences, and the first one I took note of was that if F & G end up in the same boat (as would happen any time F is in 2 or G is in 1 - see the conditionals), H would have to be in the other boat. That led me to add a rule - H2 -> F1 (because if F was in 2 with H, G would also have to be in 2 - no good), and also H1 -> G2 (same reasoning there). The other inference I made was that W and V could be in Group 2 together, but otherwise they have to be in separate groups, because either of them appearing in Group 1 forces the other into Group 2
At this point I thought a template approach was justified, because I had only a few ways to distribute my three adults, one slot in each group allotted to either X or Z, and only three ways to distribute W and V (both in 2, or W in 1 and V in 2, or V in one and W in 2). These combined restrictions all added up to me to a very restricted game. As it turns out, I was a bit surprised to find 6 templates (I had guessed before I began that there might be 4), but I was still able to set them all up and answer all the questions quickly and with confidence.
Rather than me doing it for you, try setting up the templates yourself, and report back on how it went. Start by seeing what happens when you put F in Group 2; then do the contrapositive and put G in 1 (and don't forget the variations available for W and V). Finally, try some variations with G in 2 and F in 1.
Hope that helps! I also hope some of my colleagues will chime in with their views on this game. While they worked out great for me, I'm not yet convinced that templates are truly optimal here, as the setup did take me a while.
Adam M.Tyson
PowerScore LSAT Instructor
Adam M. Tyson
PowerScore LSAT, GRE, ACT and SAT Instructor
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