BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

★★★★★5.0559 reviews
Vote for Target Test Prep, Newsweek Readers’ Choice Awards 2026
NEWSWEEK READERS’ CHOICE 2026

BIG NEWS! Target Test Prep has been nominated, and they’d love your vote!

TTP has worked incredibly hard to build the best test prep experience possible, and winning Newsweek’s 2026 Readers’ Choice Award for Best Test Prep would mean a lot to them. If TTP has helped you, they’d be incredibly grateful for your vote. You can vote once each day through September 9.

Vote for TTP
GMATLiveTeach 7 seats left
Chris Peckover
NEXT LIVE COHORT

Oct 13 to Jan 7, 2027

with Chris Peckover

Schedule
Tue, Thu · 8:00 to 10:00 PM ET
Included
40 live hours + 6 months of GMAT OnDemand
  • Live instruction and real-time questions
  • Class recordings and assigned practice
View class & enroll
Limited cohort · enrollment openTarget Test Prep
EALiveTeach 5 seats left
Logan Thompson
EXECUTIVE ASSESSMENT

Sep 6 to Dec 6, 2026

with Logan Thompson

Schedule
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll
Limited cohort · enrollment openTarget Test Prep
GMATOnDemand Start anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions
Start free 5-day trial
Read 559 reviewsTarget Test Prep

Compare the format, schedule, and included access before enrolling. Prices and seat counts shown reflect the supplied offer details.

what is the value of t?

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Source: — Data Sufficiency |
Master | Next Rank: 500 Posts
Posts: 166
Joined: Sat Apr 18, 2009 10:41 pm
Thanked: 9 times
GMAT Score:770

by raghavsarathy » Sat Jul 25, 2009 9:16 am
Statement 1 is insufficient because we are not told that the Y coordinate bisects angle O. Hence the value of T depends on the degree to which the triangle is tilted w.r.t the x axis.


Statement 2 is insufficient as we do not know the value of r.

Combining both statements. Drop a perpendicular to the x axis from P. We will know that the angle mad eby PO with x - axis = tan(x) = 1/sqrt(3)
Angle = 30

Angle made by PO witb Y - axis = 60

Not able to proceed after this. Help !
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
MBA Student
Posts: 1194
Joined: Sat Aug 16, 2008 9:42 pmFollowed by: 17 members
Location: Paris, France
Thanked: 71 times
GMAT Score:710

by gmat740 » Sat Jul 25, 2009 7:42 pm
Please refer to the fig.

We know tanx = y-c0ordinate/x-c0ordinate

so here we get , 1/sq-rt(3) = tan 30 => x = 30(shown in fig)

now we have been given POQ is 90 and the entire fig is enclosed in a semi-cirle => total angle = 180
so we can find angle QOk = 60

Now again in triangle QOK,

We have tan 60 =sq-rt(3)/1 = y-coordinate/x-coordinate

so y-coordinate =u = sq-rt(3)
x-coordinate = t = 1

So OA => C
Apologizes for my horrible drawing skills :oops:

Hope this Helps.
Attachments
gmat1_916.jpg
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 166
Joined: Sat Apr 18, 2009 10:41 pm
Thanked: 9 times
GMAT Score:770

by raghavsarathy » Sun Jul 26, 2009 5:35 pm
Hi Karan

In your soln you have considered the value of u 1.

But how did you arrive at that ?

The lines PO and OQ subtend different angles with the X- axis. Hence we cannot consider the y-coordinate of point P and y-coordinate of point Q same.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
MBA Student
Posts: 1194
Joined: Sat Aug 16, 2008 9:42 pmFollowed by: 17 members
Location: Paris, France
Thanked: 71 times
GMAT Score:710

by gmat740 » Sun Jul 26, 2009 6:11 pm
raghavsarathy wrote:Hi Karan

In your soln you have considered the value of u 1.

But how did you arrive at that ?

The lines PO and OQ subtend different angles with the X- axis. Hence we cannot consider the y-coordinate of point P and y-coordinate of point Q same.
No, Raghav, I did not assume anything.

Look, the angle QOK = 60
and tan 60 = Y-coordinate/X-coordinate
And tan 60 = sq-rt(3) = sq-rt(3)/1

so we have a simple ratio
and correspondingly, sq-rt(3) = Y-cordinate
and 1 = X-cordinate

Hope this helps
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 166
Joined: Sat Apr 18, 2009 10:41 pm
Thanked: 9 times
GMAT Score:770

by raghavsarathy » Mon Jul 27, 2009 8:22 am
gmat740 wrote:
and tan 60 = Y-coordinate/X-coordinate
And tan 60 = sq-rt(3) = sq-rt(3)/1
Hi Karan
Sorry to ge this topic again.. How do you know that the value of X-coordinate is 1 (The highlighted part)? It is not mentioned anywhere.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
MBA Student
Posts: 1194
Joined: Sat Aug 16, 2008 9:42 pmFollowed by: 17 members
Location: Paris, France
Thanked: 71 times
GMAT Score:710

by gmat740 » Mon Jul 27, 2009 5:42 pm
raghavsarathy wrote:
gmat740 wrote:
and tan 60 = Y-coordinate/X-coordinate
And tan 60 = sq-rt(3) = sq-rt(3)/1
Hi Karan
Sorry to ge this topic again.. How do you know that the value of X-coordinate is 1 (The highlighted part)? It is not mentioned anywhere.
It is a simple ratio. So if the denominator is 1(X-coordinate), then the numerator will be sq-rt(3)

However, since it is a ration, can always say that X-coordinate(denominator) can be 2. I would agree to that, only if the numerator becomes 2 times sq-rt(3). Becoz we have to keep the ratio of Numerator/denominator = Sq-rt(3)

I took the simple ratio and got 1= denominator.

lets say that there are two answers given which are x=1 and x=2, so now which one would you choose??

If you look P(r,s).The distance between P and O(center) = 2(there is formula for calculating distance between 2 points whose whose coordinates are given, I am not going into that detail)

distance between P and O(center) is actually radius.So the max value of x-coordinate on the positive X side(Q-side) will be 2.
However, when X=2, Y-coordinate =0.

But we know the simple ratio has to be sq-rt(3). So definitely x=2 is not the answer.

Hope this long post clears all your doubts
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 527
Joined: Mon Jun 02, 2008 9:14 am
Location: Atlanta
Thanked: 17 times

by pandeyvineet24 » Tue Jul 28, 2009 11:48 am
I think the Answer is D.

Both the statements are providing similar information. One provides the X corodinate of point P and other statement describes the Y coordinate of point P.

in both cases we can determine angle QOK as 60 degrees and the semicircle with a radius of 2.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Master | Next Rank: 500 Posts
Posts: 170
Joined: Tue May 26, 2009 12:00 pm
Thanked: 5 times

by yogami » Wed Jul 29, 2009 11:32 pm
I think the question is messed up. How do you guys assume that that is a semi-circle? If it was given that it was a semi circle then C is correct otherwise its E
200 or 800. It don't matter no more.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Junior | Next Rank: 30 Posts
Posts: 23
Joined: Thu Feb 26, 2009 1:19 am
Thanked: 3 times
GMAT Score:650

ans

by vyomb » Thu Jul 30, 2009 2:48 am
my answer is C.

Pls confirm the OA.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
MBA Student
Posts: 1194
Joined: Sat Aug 16, 2008 9:42 pmFollowed by: 17 members
Location: Paris, France
Thanked: 71 times
GMAT Score:710

by gmat740 » Thu Jul 30, 2009 6:55 am
pandeyvineet24 wrote:I think the Answer is D.

Both the statements are providing similar information. One provides the X corodinate of point P and other statement describes the Y coordinate of point P.

in both cases we can determine angle QOK as 60 degrees and the semicircle with a radius of 2.
I would love to know how will you get the same info using one of the statement.I would be glad to see the working. :D
I think the question is messed up. How do you guys assume that that is a semi-circle? If it was given that it was a semi circle then C is correct otherwise its E
Question is not at all messed up. In the figure It is clear that it is semi-circle.
On GMAT DAY if you find a closed fig. made with 3 closed lines and you say that the question never says anything,these 3 lines could make a Square :shock:

Then you will find your Quant score Very very High!

There are certain minor things which you have to assume by looking at the fig. and this is a semi-circle, you have to assume(untill and unless it doesnt look like a circle! :) )
my answer is C.

Pls confirm the OA.
I am not the poster of this question but still I would say the OA is C. This is a GMAT prep Question.

Hope this Helps
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 527
Joined: Mon Jun 02, 2008 9:14 am
Location: Atlanta
Thanked: 17 times

by pandeyvineet24 » Thu Jul 30, 2009 12:15 pm
gmat740 wrote:
pandeyvineet24 wrote:I think the Answer is D.

Both the statements are providing similar information. One provides the X corodinate of point P and other statement describes the Y coordinate of point P.

in both cases we can determine angle QOK as 60 degrees and the semicircle with a radius of 2.
I would love to know how will you get the same info using one of the statement.I would be glad to see the working. :D

Karan, i know where i messed it up. The answer should be C. I assumed something which i should not have. my bad :shock:
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1