Discussion

If orange glass is used in more of the windows than green glass, then the complete color combination of the glass in one of the windows could be
(A)orange and purple
(B)...
(C)...
(D)...
(E)...
(F)...
*This question is included in PT 62 LG, question #11

The solution is

Posted: 08/16/2011 10:19
How does this work, if y cannot go in a "o" or "g" window how do you handle y?
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Contributor
Posted: 08/17/2011 01:53
Here's the setup:

G, O, P, R, Y

Rule 1: (G + P) x1 *exactly*
Rule 2: R x2 *exactly*
Rule 3: Y --> ~G, ~O
Rule 4: ~P --> O

CPos 3: (O or G) --> ~Y
CPos 4: ~O --> P

Rule 3 + CPos 4: Y --> ~O --> P

___ ___ ___ ___
P/O
___ ___ ___ ___
P/O
___ ___ ___ ___
P/O



Now for the question:

If O > G, then we could have:
O x3, G x2
-OR-
O x3, G x1
-OR-
O x2, G x1

But we know that Y cannot be in the same window as G or O (Rule 3).
So one window must have Y, and we must have O x2, and G x1.
And the window with G must have both G + O.

Let's update our Model:
O G ___ ___

O __ ___ ___

P __ ___ ___


Alright. Let's look at the Rules. Rule 1 says we must have G + P once. And we know that G occurs only once. So P must be in the same window as our only G.

And we'll have to stick Y in the window with P.


Let's update our Model again:
O G P ___

O ___ ___ ___

P Y ___ ___


Note that each window must have at least two colors.
This means that either an R or a P must appear in the window that has only an O (middle window).
At this point, we don't know for sure where the two R's go.

Update:
O G P R?

O R? P? ___

P Y R? ___


Now, on to the elimination:

Q 11:
(A) This is it. If we have place our R's in the top and bottom windows, then we can have only O and P in the middle window.
(B) Not possible. The window with G has O, which means it can't have P + R as well. (That'd be 4 colors.)
(C) Nope. Not possible to ONLY have G + P (remember, we need to place two O's).
(D) Nope. With G must come P.
(E) No. The window with G must have P as well.

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