November 17, 2018 November 17, 2018 07:00 AM PST 09:00 AM PST Nov. 17, 7 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. November 17, 2018 November 17, 2018 09:00 AM PST 11:00 AM PST Join the Quiz Saturday November 17th, 9 AM PST. The Quiz will last approximately 2 hours. Make sure you are on time or you will be at a disadvantage.
Author 
Message 
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50619

If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
06 Mar 2014, 02:03
Question Stats:
82% (01:11) correct 18% (01:46) wrong based on 634 sessions
HideShow timer Statistics
The Official Guide For GMAT® Quantitative Review, 2ND EditionIf \(x \neq 2\), then \(\frac{3x^2(x2)x+2}{x2}\) (A) 3x^2  x + 2 (B) 3x^2 + 1 (C) 3x^2 (D) 3x^2  1 (E) 3x^2  2 Problem Solving Question: 133 Category: Algebra Simplifying algebraic expressions Page: 79 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you!
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
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



Math Expert
Joined: 02 Sep 2009
Posts: 50619

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
06 Mar 2014, 02:03



Manager
Joined: 04 Jan 2014
Posts: 118
GMAT 1: 660 Q48 V32 GMAT 2: 630 Q48 V28 GMAT 3: 680 Q48 V35

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
06 Mar 2014, 02:08
Factor out (x2) which would get cancelled with the denominator, leaving us with 3x^2  1.
Answer (D).



Director
Joined: 25 Apr 2012
Posts: 689
Location: India
GPA: 3.21
WE: Business Development (Other)

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
06 Mar 2014, 03:05
If x#2, then \(\frac{3x^2(x2)x+2}{x2}\) (A) 3x^2  x + 2 (B) 3x^2 + 1 (C) 3x^2 (D) 3x^2  1 (E) 3x^2  2 Sol: The Given expression can be rewritten as {3x^2 (x2) 1 (x2)}/(x2) Or Taking (x2) common in the numerator we get ({3x^21)(x2)}/(x2) Cancelling out (x2), we get 3x^21 Ans is D
_________________
“If you can't fly then run, if you can't run then walk, if you can't walk then crawl, but whatever you do you have to keep moving forward.”



SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1826
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
06 Mar 2014, 18:54
(D) \(3x^2  1\) Only one step required to get the answer: Rewrite equation as \(\frac{3x^2(x2)  1(x2)}{(x2)}\) = \(\frac{(3x^21) (x2)}{(x2)}\) = \(3x^21\)
_________________
Kindly press "+1 Kudos" to appreciate



Math Expert
Joined: 02 Sep 2009
Posts: 50619

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
08 Mar 2014, 11:50



Manager
Joined: 21 Oct 2013
Posts: 187
Location: Germany
GPA: 3.51

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
14 Mar 2014, 03:35
Pick Numbers:
x = 4
3*4² (42)4+2 / 4  2 = ...solve = 47, 47 = 3*4²1. Hence D.



Manager
Joined: 26 Feb 2015
Posts: 115

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
02 Mar 2015, 12:29
PareshGmat wrote: (D) \(3x^2  1\)
Only one step required to get the answer: Rewrite equation as
\(\frac{3x^2(x2)  1(x2)}{(x2)}\)
= \(\frac{(3x^21) (x2)}{(x2)}\)
= \(3x^21\) Where does the "1" come from, why isnt it 3x^2(x2)  x + 2 / x  2 > remove x 2 in the denominator and you get 3x^2  x + 2?



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12863
Location: United States (CA)

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
02 Mar 2015, 13:46
Hi erikvm, The GMAT will frequently test you on rules that you know, but in ways that you're not used to thinking about.... Consider these examples: Can you simplify 4X/4? What 'step' do you do? Next, can you simplify (4X + 6)/2? What 'steps' do you do here? The same rules apply to the question here. You have to divide the ENTIRE numerator by the denominator. As it stands, this question can be solved rather easily by TESTing VALUES. Try using X = 3 and see how long it takes to get to the correct answer.... 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!*****



Manager
Joined: 26 Feb 2015
Posts: 115

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
03 Mar 2015, 03:20
Thanks Rich, you always manage to explain things in a very simple way.



EMPOWERgmat Instructor
Status: GMAT Assassin/CoFounder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12863
Location: United States (CA)

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
21 Feb 2016, 13:15
Hi Abhinav, You CAN get to the correct answer by TESTing VALUES and using X=1. However, I think that you made a mistake in your calculation at some point. Answer B does NOT match up with the value of that equation when you use X=1. 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!*****



Intern
Joined: 23 Oct 2014
Posts: 3
WE: Military Officer (Military & Defense)

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
15 Mar 2016, 13:14
I don't get why you distribute the "" into the "2" with no parentheses around the last two terms. I can understand distributing if it read "(x+2)" but it reads "x+2." Am I losing my mind?



Math Expert
Joined: 02 Sep 2009
Posts: 50619

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
15 Mar 2016, 22:52



Manager
Status: On a 600long battle
Joined: 21 Apr 2016
Posts: 138
Location: Hungary
Concentration: Accounting, Leadership
GMAT 1: 410 Q18 V27 GMAT 2: 490 Q35 V23

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
27 Apr 2017, 20:35
This question seems easy (I got it wrong btw), but it's tricky if you don't see the "1", so I will write it all out here for those who are struggling to see it. \(\cfrac { 3{ x }^{ 2 }(x2)x+2 }{ x2 } \\ \cfrac { 3{ x }^{ 2 }(x2)1(x2) }{ x2 } \\ \cfrac { (x2)3{ x }^{ 2 }1 }{ x2 } \\ { 3x }^{ 2 }1\) OA
_________________
"When the going gets tough, the tough gets going!"
Welcoming tips/suggestions/advices (you name it) to help me achieve a 600



Manager
Joined: 23 Dec 2013
Posts: 159
Location: United States (CA)
GMAT 1: 710 Q45 V41 GMAT 2: 760 Q49 V44
GPA: 3.76

Re: If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
29 May 2017, 20:57
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf \(x \neq 2\), then \(\frac{3x^2(x2)x+2}{x2}\) (A) 3x^2  x + 2 (B) 3x^2 + 1 (C) 3x^2 (D) 3x^2  1 (E) 3x^2  2 Problem Solving Question: 133 Category: Algebra Simplifying algebraic expressions Page: 79 Difficulty: 600 GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition  Quantitative Questions ProjectEach week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution. We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation. Thank you! First realize that x2 appears in all three terms, albeit in an unfamiliar format in x+2 To convert x+2 to x2, pull out the 1 from both x and 2: 1*(x2). Now the 1 already appears in the bar, so you can just put x2 in parentheses to indicate that the 1 should be distributed. 3x^2*(x2) (x2)/(x2) Divide out x2 from all terms 3x^2  1.



VP
Joined: 09 Mar 2016
Posts: 1076

If x#2, then (3x^2(x2)x+2)/(x2)=
[#permalink]
Show Tags
10 Mar 2018, 05:42
Bunuel wrote: SOLUTION
If x#2, then \(\frac{3x^2(x2)x+2}{x2}\)
(A) 3x^2  x + 2 (B) 3x^2 + 1 (C) 3x^2 (D) 3x^2  1 (E) 3x^2  2
\(\frac{3x^2(x2)x+2}{x2}\);
\(\frac{3x^2(x2)(x2)}{x2}\);
Reduce by x2: \(3x^2  1\).
Answer: D. \(\frac{3x^2(x2)x+2}{x2}\) \(\frac{3x^2  x^2+2x+2}{x2}\) I get this by multiplying x by (x2) \(3x^2x+2x\) \(3x^2+x\) so where am i wrong ?




If x#2, then (3x^2(x2)x+2)/(x2)= &nbs
[#permalink]
10 Mar 2018, 05:42






