by ohthatpatrick Sat Jul 21, 2012 2:42 pm
Given the condition that K is 5, and the original rules of the game, which answer choice shows two letters that could be right next to each other (in either order)?
We would start by plugging K=5 into our number line.
_ _ _ S K _ _
We always have S in spot 4, (rule 4).
Our other rules are
F - J
MG
H = 1 or 7
Since K doesn't itself trigger any rules, we should next consider our MG chunk (chunk rules are by far the most helpful / most limited parts of numbered ordering games).
In this case, it looks like MG could go 1/2, 2/3, or 6/7. We could either sketch out those 3 options or we could try to just approach the answer choices without sketching those out and mentally picture were the remaining pieces could / couldn't go.
People vary in their ability to mentally move around the other pieces, so let's go with the sketching out MG's three possibilities strategy:
M G _ S K _ _
_ M G S K _ _
_ _ _ S K M G
In all three scenarios, we still have F-J and H (1 or 7). For the top and bottom scenario, H's spot is determined.
M G _ S K _ H
_ M G S K _ _
H _ _ S K M G
Once we fill in H, we know we have to put F and J into the final two blanks in that order.
M G F S K J H
_ M G S K _ _
H F J S K M G
The middle scenario we should probably just leave as is, knowing we still have F-J and H (1 or 7). There are only 2 ways to complete the scenario, but we should be able to visualize those without having to write them in.
A) can G and H ever be next to each other? Nope, none of these scenarios would make that possible.
B) G and J are always separated.
C) H and J are next to each other in the top scenario. Done!
D) fyi, J and M can't touch. The only tempting possibility would be the 2nd scenario, but we know that J can't go in spot 1 (F-J).
E) we can see that M next to S never happens
Hope this helps.