Welcome! Check out our free B-School Guides to learn how you compare with other applicants.

This topic has 4 expert replies and 8 member replies
dominate11 Just gettin' started!
Joined
10 Jan 2007
Posted:
4 messages
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
Any insight would be much appreciated...

7. In the triangle ABC above, what is the length of side BC? 1) Line segment AD has length 6 2) x=36 ( I was not sure how to include the example of the triangle)

9. On the sight seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight seeing tour? 1) On the sight seeing tour, the ratio of the number of children to the number of men was 5 to 11. 2) The number of women on the sight seeing tour was less than 30.

Need free GMAT or MBA advice from an expert? Register for Beat The GMAT now and post your question in these forums!
gabriel GMAT Destroyer!
Joined
20 Dec 2006
Posted:
986 messages
Followed by:
1 members
Thanked:
49 times
Sat Mar 03, 2007 9:54 am
dominate11 wrote:
Any insight would be much appreciated...

7. In the triangle ABC above, what is the length of side BC? 1) Line segment AD has length 6 2) x=36 ( I was not sure how to include the example of the triangle)

9. On the sight seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight seeing tour? 1) On the sight seeing tour, the ratio of the number of children to the number of men was 5 to 11. 2) The number of women on the sight seeing tour was less than 30.
for the first one i dont see a diagram.....

for the second one .... statement 1 along with the information in the question will give u the ratio of men:children:women... which is 22:10:25.... so this statement alone is not sufficient.... statement again does not give u any worthwhile information so this alone is not sufficient either... but take both the statement together and the only possible value of men that wuld satisfy both the given condition is 22 ... so the answer is C

### GMAT/MBA Expert

Stacey Koprince GMAT Instructor
Joined
27 Dec 2006
Posted:
2228 messages
Followed by:
498 members
Thanked:
551 times
GMAT Score:
780
Sun Mar 11, 2007 11:52 pm
Hi, dominate - if you don't know how to post images, you can also just describe the triangle in text.

_________________
Please note: I do not use the Private Messaging system! I will not see any PMs that you send to me!!

Stacey Koprince
GMAT Instructor
Director of Online Community
Manhattan GMAT

Contributor to Beat The GMAT!

Free Manhattan GMAT online events - The first class of every online Manhattan GMAT course is free. Classes start every week.
snapplesf Just gettin' started!
Joined
09 Mar 2007
Posted:
14 messages
Tue Mar 13, 2007 11:54 pm
Hi dominate11 ,

Assuming you figured out the triangle problem. if not,

if you work out the angles, you see that angles BAD=ABD
hence sides AD=BD=BC - hence A is sufficient.

hengirl03 Rising GMAT Star
Joined
05 Aug 2008
Posted:
86 messages
Thanked:
6 times
Tue Sep 09, 2008 12:18 am
Would someone please post a detailed explanation to this problem? I'm still confused. Thanks!

### GMAT/MBA Expert

Stacey Koprince GMAT Instructor
Joined
27 Dec 2006
Posted:
2228 messages
Followed by:
498 members
Thanked:
551 times
GMAT Score:
780
Tue Sep 09, 2008 6:59 am
they ask for a length, so statement 2 is not going to be useful - it gives us an angle only, and you can have a triangle of any size, teeny-tiny to huge, with those angles.

So, ACE.

AD is 6. <BAD is x. <BCD is 2x. <BCD is 2x. They want to know side BC.

<BDC is what's called an exterior angle of triangle BAD. You create this by taking any leg and just extending it out in a straight line. That exterior angle is always equal to the sum of the two opposite interior angles - in this case, angles BAD and ABD. So BAD + ABD = BDC. Fill in what you know. x + ABD = 2x. Solve. ABD = x.

So if ABD = x, it's the same angle as BAD. This means the sides opposite these angles are the same also. We know AD is 6, so BD is also 6.

Now look at the triangle on the right. We also have two identical angles there, so the two opposite sides are the same. One of those sides is BD (which we already know is 6) and the other side is BC, which we want to find. BC is also 6.

So statement 1 is sufficient. Answer is A.

_________________
Please note: I do not use the Private Messaging system! I will not see any PMs that you send to me!!

Stacey Koprince
GMAT Instructor
Director of Online Community
Manhattan GMAT

Contributor to Beat The GMAT!

Free Manhattan GMAT online events - The first class of every online Manhattan GMAT course is free. Classes start every week.
hengirl03 Rising GMAT Star
Joined
05 Aug 2008
Posted:
86 messages
Thanked:
6 times
Tue Sep 09, 2008 11:16 am
Thanks Stacey!

canuckclint Really wants to Beat The GMAT!
Joined
26 Aug 2008
Posted:
154 messages
Thanked:
3 times
Target GMAT Score:
600+
Thu Sep 11, 2008 10:01 pm
For triangle ABD,
x + angleB + (180-2X) = 180
angleB - x = 0
angleB = x

The right triange is isoceles and you can go from there.

### GMAT/MBA Expert

GMATGuruNY GMAT Instructor
Joined
25 May 2010
Posted:
6102 messages
Followed by:
1040 members
Thanked:
5273 times
GMAT Score:
790
Mon May 02, 2011 8:23 am

To determine how the angles affect each other, PLUG IN.
As you plug in, be sure to satisfy the conditions in the problem as well as the rules of geometry.

The drawings above show two valid combinations of angles.
In each case, AD = BD = BC.

Question rephrased: What is the length of AD or BD?

Sufficient.

Statement 2: x=36.
No information about the any of the lengths.
Insufficient.

_________________
Mitch Hunt
GMAT Private Tutor and Instructor
GMATGuruNY@gmail.com
If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
Contact me about long distance tutoring!

Last edited by GMATGuruNY on Mon Feb 13, 2012 7:25 pm; edited 1 time in total

Thanked by: rijul007
Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.
kinji@BTG Just gettin' started!
Joined
23 Apr 2011
Posted:
4 messages
Mon May 02, 2011 9:10 am
gabriel wrote:
dominate11 wrote:
Any insight would be much appreciated...

9. On the sight seeing tour, the ratio of the number of women to the number of children was 5 to 2. What was the number of men on the sight seeing tour? 1) On the sight seeing tour, the ratio of the number of children to the number of men was 5 to 11. 2) The number of women on the sight seeing tour was less than 30.
for the second one .... statement 1 along with the information in the question will give u the ratio of men:children:women... which is 22:10:25.... so this statement alone is not sufficient.... statement again does not give u any worthwhile information so this alone is not sufficient either... but take both the statement together and the only possible value of men that wuld satisfy both the given condition is 22 ... so the answer is C
Even I reckon the answer is Option C that is both the statements are required. What is the OA.

ctdima Just gettin' started!
Joined
06 Oct 2011
Posted:
1 messages
Thu Oct 06, 2011 7:40 pm
One thing I don't understand is why angle BAD is equal to x?

pappueshwar Really wants to Beat The GMAT!
Joined
01 Oct 2010
Posted:
234 messages
Followed by:
4 members
Thanked:
5 times
Target GMAT Score:
680
Thu Mar 15, 2012 9:00 am
hi mitch!!

even i did nt understand as to how AD is = BD

### GMAT/MBA Expert

GMATGuruNY GMAT Instructor
Joined
25 May 2010
Posted:
6102 messages
Followed by:
1040 members
Thanked:
5273 times
GMAT Score:
790
Thu Mar 15, 2012 9:35 am
In triangle BCD, since angle BDC = angle BCD = 2x, BD = BC.

To determine how the angles in the figure affect each other, PLUG IN.

Top figure:
Let angle BAD = x = 10.
Then angle BDC and angle BCD = 2x = 2*10 = 20.

Triangle BCD:
Since angle BDC = angle BCD = 20, angle DBC = 140.

Triangle ABD:
Since angle BDC = 20, angle BDA = 160.
Since angle BAD = 10 and angle BDA = 160, angle ABD = 10.
Thus, AB = BD.

Putting it all together:
Since BD = BC, AB = BD = BC.

The same reasoning was applied to figure 2, in which I plugged in x=25.
The result was the same: AB = BD, implying that AB = BD = BC.

_________________
Mitch Hunt
GMAT Private Tutor and Instructor
GMATGuruNY@gmail.com
If you find one of my posts helpful, please take a moment to click on the "Thank" icon.
Contact me about long distance tutoring!

Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now.

### Best Conversation Starters

1 varun289 38 topics
2 killerdrummer 22 topics
3 sana.noor 20 topics
4 sanaa.rizwan 14 topics
5 guerrero 14 topics
See More Top Beat The GMAT Members...

### Most Active Experts

1 Brent@GMATPrepNow

GMAT Prep Now Teacher

204 posts
2 GMATGuruNY

The Princeton Review Teacher

136 posts
3 Jim@StratusPrep

Stratus Prep

100 posts
4 Anju@Gurome

Gurome

74 posts