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# GMATPREP DS

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Manager
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GMATPREP DS [#permalink]  30 May 2006, 16:22
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see attchment
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gmat.doc [39.5 KiB]

VP
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D?

Let x = angle PRS, y = angle PQS.

1. Angle QPR = 30
Angle QPR = Angle QPS - Angle RPS
Angle RPS = 90-x
Angle QPS = 90-y

30 = QPR = (90-y) - (90-x) = x-y SUFF.

2. Angle PRQ + Angle PRQ = 150
Which is same as saying angle QPR = 30. (same as condition #1). SUFF too!
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"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."

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Re: GMATPREP DS [#permalink]  30 May 2006, 18:15
dinesh8 wrote:
see attchment

should be D.
from i, prs = pqr+qpr
prs = pqr+ 30
prs - pqr = 30. so suff...

from ii, pqr+prq = 150, then qpr = 30. also suff..
Manager
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Agree with D

PRS = x, PQS = y. What is x-y?

1) QPR = 30

Then looking at the larger triangle PQS, add up all the angles.
180 = 90+ PQS + QPS
90 = y + 30 + RPS
60-y = RPS

Then look at the small triangle PRS
180 = 90+x+60-y
30 = x-y Sufficient

2) PRQ + PQR = 150

Y + PRQ = 150 so PRQ = 150-y.
We know that PRQ + x = 180. Substitute in PRQ

150 -y +x = 180 Therefore x-y = 30. Sufficient
CEO
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Must be D.

Let PQR = y
PRS = x
PRQ = a

We have x +a = 180......(Eq 1)

St1 : QPR = 30 that means y+a+30 =180..... (Eq 2)
Solving eq 1 and eq 2 we get x-y = 30 SUFF

St2: y+a = 150.. This statement is same as statement 1, equation 2. So this is also SUFF
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SAID BUSINESS SCHOOL, OXFORD - MBA CLASS OF 2008

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I agree with the explanations!!! You guys rock!
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