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In the triangle above, what is the length of the side BC?

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Director
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In the triangle above, what is the length of the side BC?  [#permalink]

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New post 10 Apr 2010, 04:50
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A
B
C
D
E

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84% (00:48) correct 16% (00:41) wrong based on 96 sessions

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In the triangle above, what is the length of the side BC?

(1) Line segment AD has length 6
(2) x= 36

Can someone please explain the logic behind the explanation given in the official guide for the quantitative review-1st edition (question #117).

What I can't understand from the explanation is that it has been assumed that

angle ABD + angle DAB = 2x

will imply that ABD = DAB =x.

Why is the above true? Isn't it possible that ABD = 1.5x and DAB = 0.5x?

Why those two have to be equal?

PROPER VERSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/in-triangle- ... 06669.html
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Re: In the triangle above, what is the length of the side BC?  [#permalink]

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New post 10 Apr 2010, 05:30
LM wrote:
Can someone please explain the logic behind the explanation given in the official guide for the quantitative review-1st edition (question #117).

In the triangle above, what is the length of the side BC?

(1) Line segment AD has length 6

(2) x= 36

What I can't understand from the explanation is that it has been assumed that

angle ABD + angle DAB = 2x

will imply that ABD = DAB =x.

Why is the above true? Isn't it possible that ABD = 1.5x and DAB = 0.5x?

Why those two have to be equal?


We can no way assume that ABD=DAB=x, from ABD+DAB=2x. If we knew that either ABD or DAB equals to x, then the answer would be A. But in it's current form the answer should be E.
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Re: In the triangle above, what is the length of the side BC?  [#permalink]

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New post 10 Apr 2010, 17:28
Bunuel wrote:
LM wrote:
Can someone please explain the logic behind the explanation given in the official guide for the quantitative review-1st edition (question #117).

In the triangle above, what is the length of the side BC?

(1) Line segment AD has length 6

(2) x= 36

What I can't understand from the explanation is that it has been assumed that

angle ABD + angle DAB = 2x

will imply that ABD = DAB =x.

Why is the above true? Isn't it possible that ABD = 1.5x and DAB = 0.5x?

Why those two have to be equal?


We can no way assume that ABD=DAB=x, from ABD+DAB=2x. If we knew that either ABD or DAB equals to x, then the answer would be A. But in it's current form the answer should be E.



This means that the Official Guide has the wrong answer. Official Guide gives the answer as "A", but I thought ( same as you!) that the answer should be"E".
whom shall we inform if the answer in the Official Guide is wrong?
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Re: In the triangle above, what is the length of the side BC?  [#permalink]

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New post 10 Apr 2010, 19:09
In my OG Quant 1 DAB=x.
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Re: In the triangle above, what is the length of the side BC?  [#permalink]

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New post 10 Apr 2010, 21:12
walker wrote:
In my OG Quant 1 DAB=x.


Walker,

I checked it again, and I believe they have not published two versions of Quant-I (review). :shock:

The official guide, page number 193, shows that BDC = 2x and BCD = 2x.

That's why I thought somehow the explanation or rather the answer given in the OG is incorrect. :shock:
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Re: In the triangle above, what is the length of the side BC?  [#permalink]

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New post 16 Apr 2010, 04:58
I think LM is right
Even in my quant, nothing is mentioned about angle DAB

explanation by OG - let angle DBA be y , so x + y = 2x (exterior angle) so x =y .........(but nowhere they mention that DAB is x)

Can official guide be wrong??? Surprise Surprise
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Re: In the triangle above, what is the length of the side BC?  [#permalink]

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New post 21 Oct 2017, 08:56
LM wrote:
Attachment:
Triangle.PNG

In the triangle above, what is the length of the side BC?

(1) Line segment AD has length 6
(2) x= 36

Can someone please explain the logic behind the explanation given in the official guide for the quantitative review-1st edition (question #117).

What I can't understand from the explanation is that it has been assumed that

angle ABD + angle DAB = 2x

will imply that ABD = DAB =x.

Why is the above true? Isn't it possible that ABD = 1.5x and DAB = 0.5x?

Why those two have to be equal?


PROPER VERSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/in-triangle- ... 06669.html
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Re: In the triangle above, what is the length of the side BC? &nbs [#permalink] 21 Oct 2017, 08:56
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