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A it is. y < x => PQ < SR SUFF.
GMATPRep answers are sometimes _________________
"To dream anything that you want to dream, that is the beauty of the human mind. To do anything that you want to do, that is the strength of the human will. To trust yourself, to test your limits, that is the courage to succeed."
Given two parallel line and an intercepting line, the intercept length is inversely proportional to the angle between the lines i.e smaller the angle the greater the length (provided angle < 90)
S1. x > y => PQ < SR Sufficient.
S2. x+y > 90, we still don't know x,y separately.
A is not sufficient. Imagine y=45 and x=170. Which one is longer now?
When there is a graph in the test, remember to be very careful about not to assume additional conditions based on the graph shown.
But the stem specifically says that X and Y are both less than 90. Unless this is a tricky GMATPrep play on words, then by the basic laws of Geometry Statement 1 has to be sufficient.
Re: DS: Lines (GMATPrep) [#permalink]
19 Jun 2006, 07:50
mrmikec wrote:
Please explain your answers.
E.
This is why
Let's take (A),
X > Y means nothing, for e.g. if X = 135 and y = 45, then the line segments are equal. The length will contract and expand from one side of the 90 deg to the other. So if we draw a perpendicular line (i.e. assume x = 90, then the lengths are same for each degree either side). Not useful.
Take (B), as in case (A), X+Y>90 means nothing, as there are many possible variations with either PQ=SR or greater or lesser.