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GMATPREP DS

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Manager
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GMATPREP DS [#permalink] New post 30 May 2006, 16:22
00:00
A
B
C
D
E

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(N/A)

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0% (00:00) correct 0% (00:00) wrong based on 0 sessions
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 [#permalink] New post 30 May 2006, 16:40
D?

Let x = angle PRS, y = angle PQS.
Asked x-y = ?

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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Re: GMATPREP DS [#permalink] New post 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..
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 [#permalink] New post 31 May 2006, 08:33
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
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 [#permalink] New post 31 May 2006, 09:19
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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 [#permalink] New post 07 Jun 2006, 07:41
I agree with the explanations!!! You guys rock!
  [#permalink] 07 Jun 2006, 07:41
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