Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 30 May 2017, 07:12

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# GmatPrep questions - please solve

Author Message
Manager
Joined: 10 Feb 2010
Posts: 192
Followers: 2

Kudos [?]: 118 [1] , given: 6

### Show Tags

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

### HideShow timer Statistics

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: 39071
Followers: 7762

Kudos [?]: 106622 [4] , given: 11630

### Show Tags

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: 192
Followers: 2

Kudos [?]: 118 [0], given: 6

### Show Tags

19 Jun 2010, 17:22
Thanks.

I will follow the guidelines next time!
Display posts from previous: Sort by