November 18, 2018 November 18, 2018 07:00 AM PST 09:00 AM PST Get personalized insights on how to achieve your Target Quant Score. November 18th, 7 AM PST November 20, 2018 November 20, 2018 09:00 AM PST 10:00 AM PST The reward for signing up with the registration form and attending the chat is: 6 free examPAL quizzes to practice your new skills after the chat.
Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 26 Sep 2013
Posts: 196
Concentration: Finance, Economics
GMAT 1: 670 Q39 V41 GMAT 2: 730 Q49 V41

In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
Updated on: 18 Oct 2013, 21:10
Question Stats:
34% (02:04) correct 66% (02:01) wrong based on 577 sessions
HideShow timer Statistics
Attachment:
29671.gif [ 2.05 KiB  Viewed 13788 times ]
In the figure above, SQRE is a square, AB = AC, and AS = AQ. What is the difference between the perimeter of triangle ABC and the perimeter of square SQRE? (1) The length of RE is 4 times the length of BR. (2) The area of triangle ABC is 75% of the area of square SQRE.
Official Answer and Stats are available only to registered users. Register/ Login.
Originally posted by AccipiterQ on 18 Oct 2013, 08:34.
Last edited by AccipiterQ on 18 Oct 2013, 21:10, edited 1 time in total.




Math Expert
Joined: 02 Sep 2009
Posts: 50621

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
20 Oct 2013, 12:03




Manager
Joined: 26 Sep 2013
Posts: 196
Concentration: Finance, Economics
GMAT 1: 670 Q39 V41 GMAT 2: 730 Q49 V41

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
18 Oct 2013, 08:36
I think because it's a square, once you know the size of one side, you can calculate the perimeter, than if you know it's relation to the base of the triangle (which A gives you) then you can calculate the height of the triangle as well, and then you can calculate perimeter of triangle based on base, and the area, somehow. So I chose A.



Intern
Joined: 29 May 2013
Posts: 22
Concentration: Marketing, Entrepreneurship
GMAT Date: 08202014
GPA: 3.34

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
18 Oct 2013, 21:06
C according to me ! Statement 1 tells us about the base of the triangle. Insufficient... Statement 2 describes area, but base of triangle is still unknown...Insufficient
Combine both and you have the perimeters.
OA please?



Manager
Joined: 29 Aug 2013
Posts: 74
Location: United States
Concentration: Finance, International Business
GMAT 1: 590 Q41 V29 GMAT 2: 540 Q44 V20
GPA: 3.5
WE: Programming (Computer Software)

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
19 Oct 2013, 03:51
AccipiterQ wrote: In the figure above, SQRE is a square, AB = AC, and AS = AQ. What is the difference between the perimeter of triangle ABC and the perimeter of square SQRE?
(1) The length of RE is 4 times the length of BR.
(2) The area of triangle ABC is 75% of the area of square SQRE. I believe we need at least one dimension of either the square side or one side of the triangle. Unless we have that we can not get the absolute value of the difference in the perimeter values. We will get an equation converted in one of the sides. Can any one come up with the OE. Thanks!!!



Senior Manager
Joined: 13 May 2013
Posts: 428

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
11 Dec 2013, 09:56
1/2*ER*CB=3/4*ER^2 > 2CB=3ER > 2(ER+2RB)=3ER > 4RB=ER.
How do I know to do that? How do I know to take those exact steps to get to that result? I came up with (2/3)CB = ER which I believe is a correct statement but obviously, it would make it more difficult to determine sufficiency in the 2 or so minutes we have. With the formula I got, I know the length of the base relative to the height and I can find the hypotenuse and obviously I know the perimeter of the square (the height of the triangle) Is that enough to determine sufficiency?



Intern
Joined: 10 Dec 2013
Posts: 20
Location: India
Concentration: Technology, Strategy
GPA: 3.9
WE: Consulting (Consulting)

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
09 Feb 2014, 10:24
Quote: AB=AC=\sqrt{4^2+3^2}=5 Hi Bunuel, Can you please explain how did you know the length of the sides as the only information given in the questions is about how many times a side is of another and not the absolute values?



Math Expert
Joined: 02 Sep 2009
Posts: 50621

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
10 Feb 2014, 00:02
Rohan_Kanungo wrote: Quote: AB=AC=\sqrt{4^2+3^2}=5 Hi Bunuel, Can you please explain how did you know the length of the sides as the only information given in the questions is about how many times a side is of another and not the absolute values? Yes, we don't know the lengths. We only know the ratios. But if you write x, 2x, 2x, x, and 4x instead of 1, 2, 2, 1, and 4 you'll get the same result.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Director
Joined: 23 Jan 2013
Posts: 570

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
10 Feb 2014, 21:10
good brainshaker after long break)



Manager
Joined: 17 Mar 2014
Posts: 68

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
01 Jun 2014, 23:40
Bunuel wrote: In the figure above, SQRE is a square, AB = AC, and AS = AQ. What is the difference between the perimeter of triangle ABC and the perimeter of square SQRE?(1) The length of RE is 4 times the length of BR. Look at the diagram below: Attachment: Untitled.png \(AB=AC=\sqrt{4^2+3^2}=5\). The perimeter of SQRE is 4*4=16. The perimeter of ABC is 6+5+5=16. The difference is 0. Sufficient. (2) The area of triangle ABC is 75% of the area of square SQRE. The height of ABC equals to the side of the square, thus we have that 1/2*ER*CB=3/4*ER^2 > 2CB=3ER > 2(ER+2RB)=3ER > 4RB=ER. The same info as above. Sufficient. Answer: D. I get why (1) is sufficient , but in statement 2 we are taking CB=( ER + 2RB) which means we are taking CE= RB but can anybody explain why in statement 2 we are able to take CE = RB, how do we know they are equal.



Math Expert
Joined: 02 Sep 2009
Posts: 50621

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
01 Jun 2014, 23:56
qlx wrote: Bunuel wrote: In the figure above, SQRE is a square, AB = AC, and AS = AQ. What is the difference between the perimeter of triangle ABC and the perimeter of square SQRE?(1) The length of RE is 4 times the length of BR. Look at the diagram below: \(AB=AC=\sqrt{4^2+3^2}=5\). The perimeter of SQRE is 4*4=16. The perimeter of ABC is 6+5+5=16. The difference is 0. Sufficient. (2) The area of triangle ABC is 75% of the area of square SQRE. The height of ABC equals to the side of the square, thus we have that 1/2*ER*CB=3/4*ER^2 > 2CB=3ER > 2(ER+2RB)=3ER > 4RB=ER. The same info as above. Sufficient. Answer: D. I get why (1) is sufficient , but in statement 2 we are taking CB=( ER + 2RB) which means we are taking CE= RB but can anybody explain why in statement 2 we are able to take CE = RB, how do we know they are equal. AS = AQ implies that A is the midpoint of SQ. AB = AC implies that triangle ABC is isosceles, so it's symmetrical around the altitude. So, half of it lies to the left of the height and another identical half to the right of the height. Therefore, CE = RB. Hope it's clear.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Intern
Joined: 28 May 2014
Posts: 16

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
02 Jun 2014, 00:02
I was going to say E, before I read Bunuels answer.
My, somewhat foolish, approach was that I was looking for actual measurements. As there were none I figured the ratio's wouldn't help me come up with a definitive answer of an absolute difference.
Thanks for clearing that out!



Intern
Joined: 07 Jun 2014
Posts: 14
Location: India
GPA: 2.91
WE: Consulting (Energy and Utilities)

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
27 Jul 2014, 09:01
Bunuel wrote: Rohan_Kanungo wrote: Quote: AB=AC=\sqrt{4^2+3^2}=5 Hi Bunuel, Can you please explain how did you know the length of the sides as the only information given in the questions is about how many times a side is of another and not the absolute values? Yes, we don't know the lengths. We only know the ratios. But if you write x, 2x, 2x, x, and 4x instead of 1, 2, 2, 1, and 4 you'll get the same result. Hi Bunuel, Thanks for this, I have tried it for a few values to confirm and it indeed does come out to be zero for all values of x. Just wanted to understand how did you come up with this generalization without having to try a number of different values, is there some basic logic or rule that can come into play here? As it seems like the concept of "x, 2x, 2x, x, and 4x" was more of a generalization after having tried one value? Thanks in advance, Sagar
_________________
I would rather "crash and burn" than "sulk and cry"!!



Math Expert
Joined: 02 Sep 2009
Posts: 50621

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
27 Jul 2014, 14:08
itsworththepain wrote: Bunuel wrote: Yes, we don't know the lengths. We only know the ratios. But if you write x, 2x, 2x, x, and 4x instead of 1, 2, 2, 1, and 4 you'll get the same result.
Hi Bunuel, Thanks for this, I have tried it for a few values to confirm and it indeed does come out to be zero for all values of x. Just wanted to understand how did you come up with this generalization without having to try a number of different values, is there some basic logic or rule that can come into play here? As it seems like the concept of "x, 2x, 2x, x, and 4x" was more of a generalization after having tried one value? Thanks in advance, Sagar We are given only ratios in the question, so we can assume values according to them: in x, 2x, 2x, x, and 4x, if x=1, then the lengths come out to be 1, 2, 2, 1, and 4.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Retired Moderator
Joined: 18 Sep 2014
Posts: 1127
Location: India

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
30 Jun 2015, 09:30
Bunuel wrote: In the figure above, SQRE is a square, AB = AC, and AS = AQ. What is the difference between the perimeter of triangle ABC and the perimeter of square SQRE?(1) The length of RE is 4 times the length of BR. Look at the diagram below: Attachment: Untitled.png \(AB=AC=\sqrt{4^2+3^2}=5\). The perimeter of SQRE is 4*4=16. The perimeter of ABC is 6+5+5=16. The difference is 0. Sufficient. (2) The area of triangle ABC is 75% of the area of square SQRE. The height of ABC equals to the side of the square, thus we have that 1/2*ER*CB=3/4*ER^2 > 2CB=3ER > 2(ER+2RB)=3ER > 4RB=ER. The same info as above. Sufficient. Answer: D. OA is C but not D(As per the Manhattan source). Please explain without taking values and also explain why have considered few assumptions that you have mentioned.



Math Expert
Joined: 02 Sep 2009
Posts: 50621

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
30 Jun 2015, 09:40
Mechmeera wrote: Bunuel wrote: In the figure above, SQRE is a square, AB = AC, and AS = AQ. What is the difference between the perimeter of triangle ABC and the perimeter of square SQRE?(1) The length of RE is 4 times the length of BR. Look at the diagram below: Attachment: Untitled.png \(AB=AC=\sqrt{4^2+3^2}=5\). The perimeter of SQRE is 4*4=16. The perimeter of ABC is 6+5+5=16. The difference is 0. Sufficient. (2) The area of triangle ABC is 75% of the area of square SQRE. The height of ABC equals to the side of the square, thus we have that 1/2*ER*CB=3/4*ER^2 > 2CB=3ER > 2(ER+2RB)=3ER > 4RB=ER. The same info as above. Sufficient. Answer: D. OA is C but not D(As per the Manhattan source). Please explain without taking values and also explain why have considered few assumptions that you have mentioned. The OA of this question is D, not C. And it's explained WHY it's D. Those are not the actual lengths but ratios, which is explained here: inthefigureabovesqreisasquareabacandasaq161814.html#p1330094You are mixing this question with this one: inthefigureabovepqrsisasquareandabacistheareaoftria192330.html (OA is C there). Please read the whole thread carefully before posting a question.
_________________
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? Extrahard Quant Tests with Brilliant Analytics



Retired Moderator
Joined: 18 Sep 2014
Posts: 1127
Location: India

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
30 Jun 2015, 09:47
Bunuel wrote: Mechmeera wrote: Bunuel wrote: In the figure above, SQRE is a square, AB = AC, and AS = AQ. What is the difference between the perimeter of triangle ABC and the perimeter of square SQRE?(1) The length of RE is 4 times the length of BR. Look at the diagram below: Attachment: Untitled.png \(AB=AC=\sqrt{4^2+3^2}=5\). The perimeter of SQRE is 4*4=16. The perimeter of ABC is 6+5+5=16. The difference is 0. Sufficient. (2) The area of triangle ABC is 75% of the area of square SQRE. The height of ABC equals to the side of the square, thus we have that 1/2*ER*CB=3/4*ER^2 > 2CB=3ER > 2(ER+2RB)=3ER > 4RB=ER. The same info as above. Sufficient. Answer: D. OA is C but not D(As per the Manhattan source). Please explain without taking values and also explain why have considered few assumptions that you have mentioned. The OA of this question is D, not C. And it's explained WHY it's D. Those are not the actual lengths but ratios, which is explained here: inthefigureabovesqreisasquareabacandasaq161814.html#p1330094You are mixing this question with this one: inthefigureabovepqrsisasquareandabacistheareaoftria192330.html (OA is C there). Please read the whole thread carefully before posting a question. Sorry for the mistake. You can remove my post here as it is not relevant(Im not able to delete it). And please explain the problem in below link. inthefigureabovepqrsisasquareandabacistheareaoftria192330.html



Intern
Joined: 08 Dec 2015
Posts: 24

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
19 Dec 2015, 16:42
Bunuel I am reviewing the other problem that is similar to this and I have two quick follow up questions. (1) How are you able to assume in statement 1 that CE is also 1? It makes sense intuitively, but I'm not seeing that it has to be equal to segment RB. (2) For the second question, it is not as clear how to pick smart numbers for statement 1 or 2. I found myself guessing the right answer for this question but spending a minute and a half trying to prove why it was correct. Any advice for approaching this problem is helpful.



Intern
Joined: 05 Jul 2016
Posts: 16
Location: Brazil
Concentration: Finance, Entrepreneurship
WE: Analyst (Investment Banking)

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
06 Jul 2016, 14:24
Hi guys,
I know this is an old question, but I'm not sure about one thing.
Should I assume by looking at the figure that CE=RB? Because in the first statement it just say that RE is less than twice the length of BR, but how do I know that the triangle is "centered" with the square, by not looking the second statement?
thanks



Math Expert
Joined: 02 Sep 2009
Posts: 50621

Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ.
[#permalink]
Show Tags
07 Jul 2016, 03:29




Re: In the figure above, SQRE is a square, AB = AC, and AS = AQ. &nbs
[#permalink]
07 Jul 2016, 03:29



Go to page
1 2
Next
[ 23 posts ]



