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# GmatPrep questions - please solve

Author Message
Manager
Joined: 10 Feb 2010
Posts: 193
Followers: 2

Kudos [?]: 81 [1] , given: 6

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19 Jun 2010, 15:46
1
KUDOS
00:00

Difficulty:

(N/A)

Question Stats:

25% (00:00) correct 75% (02:59) wrong based on 4 sessions

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Can you please solve questions in the attachment.

OA for Q1:
[Reveal] Spoiler:
C

OA for Q2:
[Reveal] Spoiler:
C

OA for Q3:
[Reveal] Spoiler:
E
[Reveal] Spoiler: OA

Attachments

gmatprep.docx [176.55 KiB]

Math Expert
Joined: 02 Sep 2009
Posts: 33104
Followers: 5786

Kudos [?]: 71039 [4] , given: 9857

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19 Jun 2010, 16:34
4
KUDOS
Expert's post
1. In the figure shown, what is the value of x?

x+<QSR+<UST=180 (straight line =180) and <R+<T=90 (as PRT is right angle)

(1) The length of line segment QR is equal to the length of line segment RS --> QRS is isosceles --> <PQS=<QSR=(180-R)/2 (as <PQS+<QSR+<R=180 --> 2<QSR+<R=180 --> <QSR=(180-R)/2). Not sufficient.

(2) The legnth of line segment ST is equal to the length of line segment TU --> UST is isosceles --> <SUT=<UST=(180-T)/2. Not sufficient.

(1)+(2) x+<QSR+<UST=180 --> x+(180-R)/2+(180-T)/2=180 --> x+(360-(R+T))/2=180 --> as R+T=90 --> x+(360-90)/2=180 --> x=45. Sufficient.

2. An equilateral triangle ABC is inscribed in the circle. If the length of arc ABC is 24, what is the approximate diameter of the circle?

Arc ABC is $$\frac{2}{3}$$ of the circumference (as ABC is equilateral triangle) --> $$24=c*\frac{2}{3}$$, hence circumference $$c=\frac{24*3}{2}=36=\pi{d}$$ --> $$d\approx{11.5}$$.

3. Machine X and Y work at their respective constant rates. How many more hours does it take Machine Y, working alone, to fill a production order of a certain size than it takes Machine X, working alone?

(1) Machine X and Y, working together, fill a production order of this size in two thirds the time that Machine X does.
(2) Machine Y, working alone, fills a production order of this size in twice the time that Machine X, working alone, does.

Let $$x$$ and $$y$$ be times needed for X and Y to to fill a production order of a certain size when working alone. Question: $$y-x=?$$

(1) $$\frac{1}{x}+\frac{1}{y} = \frac{1}{total \ time}$$ (general formula) --> Total time needed for X and Y working together = $$\frac{xy}{x+y}$$ (general formula) --> given $$\frac{xy}{x+y}=x*\frac{2}{3}$$ --> $$2x=y$$. Not sufficient.

(2) $$2x=y$$, the same info. Not sufficient

(1)+(2) Nothing new. Not Sufficient

 ! Please post PS questions in the PS subforum: gmat-problem-solving-ps-140/Please post DS questions in the DS subforum: gmat-data-sufficiency-ds-141/No posting of PS/DS questions is allowed in the main Math forum.

Also please post one question per topic.
_________________
Manager
Joined: 10 Feb 2010
Posts: 193
Followers: 2

Kudos [?]: 81 [0], given: 6

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19 Jun 2010, 17:22
Thanks.

I will follow the guidelines next time!
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