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GmatPrep questions - please solve

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GmatPrep questions - please solve [#permalink] New post 19 Jun 2010, 14:46
1
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

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

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Re: GmatPrep questions - please solve [#permalink] New post 19 Jun 2010, 15:34
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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.

Answer: C.

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}.

Answer: C.

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

Answer: E.


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Manager
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Re: GmatPrep questions - please solve [#permalink] New post 19 Jun 2010, 16:22
Thanks.

I will follow the guidelines next time!
Re: GmatPrep questions - please solve   [#permalink] 19 Jun 2010, 16:22
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