January 20, 2019 January 20, 2019 07:00 AM PST 07:00 AM PST Get personalized insights on how to achieve your Target Quant Score. January 19, 2019 January 19, 2019 07:00 AM PST 09:00 AM PST Aiming to score 760+? Attend this FREE session to learn how to Define your GMAT Strategy, Create your Study Plan and Master the Core Skills to excel on the GMAT.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52294

In the diagram above, coordinates are given for three of the vertices
[#permalink]
Show Tags
06 Mar 2015, 06:30
Question Stats:
70% (01:44) correct 30% (02:16) wrong based on 238 sessions
HideShow timer Statistics



Math Expert
Joined: 02 Aug 2009
Posts: 7206

Re: In the diagram above, coordinates are given for three of the vertices
[#permalink]
Show Tags
06 Mar 2015, 17:34
Bunuel wrote: Attachment: cgpq_img2.png In the diagram above, coordinates are given for three of the vertices of quadrilateral ABCD. Does quadrilateral ABCD have an area greater than 30? (1) Point B has an xcoordinate of 4 (2) Quadrilateral ABCD is a parallelogram Kudos for a correct solution.ans B.. both the statements are sufficient.. 1) it gives us x coord as 4 so the area of triangle above x axis requires y coord for height..although below x axis=1/2*8*4=16... insufficient 2)parallelogram gives the area of two triangle on either side of x axis equal, so 16*2=32... thus sufficient
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13353
Location: United States (CA)

Re: In the diagram above, coordinates are given for three of the vertices
[#permalink]
Show Tags
06 Mar 2015, 23:00
Quote: ans D.. both the statements are sufficient.. 1) it gives us x coord as 4 so the area of triangle above x axis =1/2*8*4=16... similarly below x axis=1/2*8*4=16... total 32 sufficient 2)parallelogram gives the area of two triangle on either side of x axis equal, so 16*2=32... thus sufficient Hi chetan2u, Your idea to separate the quadrilateral into two triangles is a good one. However, you made a slight logic mistake when dealing with the first Fact. Fact 1 gives us just the Xcoordinate of point B. We're told that the Xcoordinate is 4, which means that Point B is (4, Y). The Y coordinate of the pair is what is needed so that we can calculate the "height" of triangle ABC and we actually have almost NO information about that part of the coordinate. If we were told that the quadrilateral was a rectangle, parallelogram, etc. then we would be able to deduce the value of the Y, but without that information, we can only conclude that it's a positive number (and that's because the coordinate falls in the 1st Quadrant of the graph). The point could be (4, 1) or (4, 100)  these two possibilities would lead to two different answers to the given question. Thus, Fact 1 is INSUFFICIENT. GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****



Math Expert
Joined: 02 Aug 2009
Posts: 7206

Re: In the diagram above, coordinates are given for three of the vertices
[#permalink]
Show Tags
07 Mar 2015, 01:59
EMPOWERgmatRichC wrote: Quote: ans D.. both the statements are sufficient.. 1) it gives us x coord as 4 so the area of triangle above x axis =1/2*8*4=16... similarly below x axis=1/2*8*4=16... total 32 sufficient 2)parallelogram gives the area of two triangle on either side of x axis equal, so 16*2=32... thus sufficient Hi chetan2u, Your idea to separate the quadrilateral into two triangles is a good one. However, you made a slight logic mistake when dealing with the first Fact. Fact 1 gives us just the Xcoordinate of point B. We're told that the Xcoordinate is 4, which means that Point B is (4, Y). The Y coordinate of the pair is what is needed so that we can calculate the "height" of triangle ABC and we actually have almost NO information about that part of the coordinate. If we were told that the quadrilateral was a rectangle, parallelogram, etc. then we would be able to deduce the value of the Y, but without that information, we can only conclude that it's a positive number (and that's because the coordinate falls in the 1st Quadrant of the graph). The point could be (4, 1) or (4, 100)  these two possibilities would lead to two different answers to the given question. Thus, Fact 1 is INSUFFICIENT. GMAT assassins aren't born, they're made, Rich hi rich, thanks .. you are absolutely correct... i dont know why i took x as the height... a mistake.. kudos for it ... editing the answer in light of this error
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Senior Manager
Joined: 28 Feb 2014
Posts: 294
Location: United States
Concentration: Strategy, General Management

Re: In the diagram above, coordinates are given for three of the vertices
[#permalink]
Show Tags
07 Mar 2015, 13:18
Bunuel wrote: Attachment: cgpq_img2.png In the diagram above, coordinates are given for three of the vertices of quadrilateral ABCD. Does quadrilateral ABCD have an area greater than 30? (1) Point B has an xcoordinate of 4 (2) Quadrilateral ABCD is a parallelogram Kudos for a correct solution.The bottom triangle has an area of 16. If the area of the upper triangle is larger or smaller than 14, then we can determine if the area is greater than 30. Statement 1: We do not know the y coordinate, it could be any positive number. Insufficient Statement 2: Since it is a parallelogram, the areas of the two triangles must be equal. Sufficient Answer: B



Math Expert
Joined: 02 Sep 2009
Posts: 52294

Re: In the diagram above, coordinates are given for three of the vertices
[#permalink]
Show Tags
08 Mar 2015, 15:23
Bunuel wrote: In the diagram above, coordinates are given for three of the vertices of quadrilateral ABCD. Does quadrilateral ABCD have an area greater than 30? (1) Point B has an xcoordinate of 4 (2) Quadrilateral ABCD is a parallelogram Kudos for a correct solution. MAGOOSH OFFICIAL SOLUTION:In this problem, the lower triangle ACD has a base of AC = 8, and a height, from the origin down to D, of 4. Therefore, the area of ACD = (1/2)(b)(h) = (1/2)(8)(4) = 16. We would need to know something about the upper triangle ABC to know the answer to the prompt question. We know the base of triangle ABC, AC = 8, but we don’t know anything about the height. Statement #1: if we know the xcoordinate of point B, that doesn’t help us. We still know the base AC = 8, but we don’t know the height, only the vertical line along which point B will lie. Any height could be possible. This statement, alone and by itself, is insufficient. Statement #2: the diagonal of any parallelogram (i.e. the line connecting two opposite vertices) divides it into two congruent triangles. Well, if ABCD is a parallelogram, then line AC is a diagonal, which means triangles ADC and ABD must be congruent and have equal area. This would allow us to calculate the total area and answer the prompt question. This statement, alone and by itself, is sufficient. Answer = B
_________________
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



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13353
Location: United States (CA)

Re: In the diagram above, coordinates are given for three of the vertices
[#permalink]
Show Tags
14 Apr 2015, 22:07
Hi dkumar2012, I'm going to give you some hints about how you can go about solving this question, so that you can reattempt it: Since the question asks about the relative area of the quadrilateral, you have to figure out a way to calculate if it's greater than 30 (or not). Notice how the quadrilateral can be broken into 2 triangles (using the Xaxis to split it in two). You CAN calculate the area of the "lower" triangle (remember Area = (1/2)(B)(H)). So you really just need to figure out the area of the "upper" triangle. What do you need to know to figure out THAT area....? And do the two Facts provide you with the proper information that you need? GMAT assassins aren't born, they're made, Rich
_________________
760+: Learn What GMAT Assassins Do to Score at the Highest Levels Contact Rich at: Rich.C@empowergmat.com
Rich Cohen
CoFounder & GMAT Assassin
Special Offer: Save $75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee www.empowergmat.com/
*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****



Senior Manager
Joined: 21 Jan 2015
Posts: 402
Location: India
Concentration: Strategy, Marketing
GMAT 1: 620 Q48 V28 GMAT 2: 690 Q49 V35
WE: Sales (Consumer Products)

Re: In the diagram above, coordinates are given for three of the vertices
[#permalink]
Show Tags
14 Apr 2015, 22:30
In the diagram, coordinates are given for three of the vertices of quadrilateral ABCD. Does quadrilateral ABCD have an area greater than 30? Ans: with already given information we know that triangle ABC and ADC are two triangle. we know the area of triangle ADC is= [AC*OD]*(1/2)= 16 to get the are of Triangle ABC we need to know height of the triangle (1): point B has an xcoordinate of 4 It does not say anything about the height of triangle ABC. (Insufficient) (2): quadrilateral ABCD is a parallelogram as it is parallelogram triangle ABC and ADC are the same triangle. (Properties: diagonal divides equally) now we know the area of ABCD. we can answer the question. (Sufficient) Ans:B
_________________
 The Mind is Everything, What we Think we Become.



Director
Joined: 07 Aug 2011
Posts: 533
Concentration: International Business, Technology

Re: In the diagram above, coordinates are given for three of the vertices
[#permalink]
Show Tags
15 Apr 2015, 03:29
Bunuel wrote: Attachment: The attachment cgpq_img2.png is no longer available In the diagram above, coordinates are given for three of the vertices of quadrilateral ABCD. Does quadrilateral ABCD have an area greater than 30? (1) Point B has an xcoordinate of 4 (2) Quadrilateral ABCD is a parallelogram Kudos for a correct solution.Answer B . Diagonals divided gram into two equal halves. A is insufficient.
Attachments
23.jpg [ 41 KiB  Viewed 3655 times ]



NonHuman User
Joined: 09 Sep 2013
Posts: 9449

Re: In the diagram above, coordinates are given for three of the vertices
[#permalink]
Show Tags
13 Jan 2018, 12:55
Hello from the GMAT Club BumpBot! Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up  doing my job. I think you may find it valuable (esp those replies with Kudos). Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
GMAT Books  GMAT Club Tests  Best Prices on GMAT Courses  GMAT Mobile App  Math Resources  Verbal Resources




Re: In the diagram above, coordinates are given for three of the vertices &nbs
[#permalink]
13 Jan 2018, 12:55






