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Manager
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Need your thoughts on this [#permalink]

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New post 21 Sep 2007, 22:11
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A
B
C
D
E

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Need your thoughts on this.
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CEO
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Re: DS: Geometry [#permalink]

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New post 22 Sep 2007, 01:46
Hang Tuah wrote:
Need your thoughts on this.


I am interested in the approach to this problem as well. I had this on my GMATPrep and answered E...
Director
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Re: DS: Geometry [#permalink]

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New post 22 Sep 2007, 02:54
Hang Tuah wrote:
Need your thoughts on this.


I'm getting C.

Made the diag and for simplicity marked angle UST as Z, angle RSQ as Y, angle RQS as L, angle SQP as M, angle SUT as A and angle SUP as B.

Whew!!

Now:

x+y+z = 180
(y+z) = 180 - x ...............1

stat 1 : Y = L; doesn't help me. Insuff.

stat 2: Z = A; doesn't help me. insuff.

Stat 1 & 2: Y = L and Z = A

L + M = 180
Since L = Y, Y + M = 180, M = 180 - Y .............. 2

A+B = 180
Since A = Z, Z + B = 180, B = 180 - Z ..............3

Further in quad. PQSU, x + M + angle QPU + B = 360

x = 270 - (M + B)
x = 270 - (180 - Y + 180 - Z) ........ (from 2 & 3)
x = 270 - [360 - (Y + Z)]
x = 270 - [360 - (180 - x)] .........(from 1)
x= 270 - [180 - x] = 90 - x
x = 45 degrees


Hopefully that is right

Whats the OA?
Senior Manager
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Re: DS: Geometry [#permalink]

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New post 22 Sep 2007, 09:17
GK_Gmat wrote:
Hang Tuah wrote:
Need your thoughts on this.


I'm getting C.

Made the diag and for simplicity marked angle UST as Z, angle RSQ as Y, angle RQS as L, angle SQP as M, angle SUT as A and angle SUP as B.

Whew!!

Now:

x+y+z = 180
(y+z) = 180 - x ...............1

stat 1 : Y = L; doesn't help me. Insuff.

stat 2: Z = A; doesn't help me. insuff.

Stat 1 & 2: Y = L and Z = A

L + M = 180
Since L = Y, Y + M = 180, M = 180 - Y .............. 2

A+B = 180
Since A = Z, Z + B = 180, B = 180 - Z ..............3

Further in quad. PQSU, x + M + angle QPU + B = 360

x = 270 - (M + B)
x = 270 - (180 - Y + 180 - Z) ........ (from 2 & 3)
x = 270 - [360 - (Y + Z)]
x = 270 - [360 - (180 - x)] .........(from 1)
x= 270 - [180 - x] = 90 - x
x = 45 degrees


Hopefully that is right

Whats the OA?


I had this question on GMATPrep, and I got C, as far as I remember it was correct answer.
VP
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 [#permalink]

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New post 22 Sep 2007, 16:57
one more time firm C

long steps to post but very simple
  [#permalink] 22 Sep 2007, 16:57
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