Author 
Message 
TAGS:

Hide Tags

Manager
Joined: 20 Nov 2009
Posts: 129

Is w greater than 1?
[#permalink]
Show Tags
Updated on: 21 Jul 2014, 00:16
Question Stats:
71% (01:01) correct 29% (00:57) wrong based on 521 sessions
HideShow timer Statistics
Is w greater than 1? (1) w + 2 > 0 (2) w^2 >1
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
But there’s something in me that just keeps going on. I think it has something to do with tomorrow, that there is always one, and that everything can change when it comes. http://aimingformba.blogspot.com
Originally posted by aiming4mba on 07 Sep 2010, 14:13.
Last edited by Bunuel on 21 Jul 2014, 00:16, edited 1 time in total.
Edited the question




Math Expert
Joined: 02 Sep 2009
Posts: 50002

Re: Is w greater than 1?
[#permalink]
Show Tags
07 Sep 2010, 14:27




Current Student
Status: What's your raashee?
Joined: 12 Jun 2009
Posts: 1770
Location: United States (NC)
Concentration: Strategy, Finance
Schools: UNC (KenanFlagler)  Class of 2013
WE: Programming (Computer Software)

Re: Is w greater than 1?
[#permalink]
Show Tags
07 Sep 2010, 17:15
aiming4mba wrote: Is w greater than 1? 1. w+2 > 0 b. w2 >1 1. W >2 which could be greater than 1 INSUFF 2. w > 1/2 INSUFF as it could be less than 1 Combining them you have W >1/2 > 2 which simplifies to W>1/2 which is same as 2 and again INSUFF so E Remember when dividing over inequalities if there is negative sign you flip the arrows.
_________________
If you like my answers please +1 kudos!



Manager
Joined: 03 Jun 2010
Posts: 144
Location: United States (MI)
Concentration: Marketing, General Management
WE: Business Development (Consumer Products)

Re: Is w greater than 1?
[#permalink]
Show Tags
08 Sep 2010, 05:50
1) w>2 und 2) w<1 and >1 uns 1+2 (2;1) and (1; inf) uns
E.
Posted from my mobile device



Manager
Joined: 17 Nov 2009
Posts: 219

Re: Is w greater than 1?
[#permalink]
Show Tags
08 Sep 2010, 10:11
Thanks. I had thought B initially but w2 could be + or . It is easy to forget these small things but they make a big difference in score



Intern
Joined: 27 Apr 2014
Posts: 39

Re: Is w greater than 1?
[#permalink]
Show Tags
21 Jul 2014, 00:07
Bunuel wrote: aiming4mba wrote: Is w greater than 1? 1. w+2 > 0 b. w2 >1 Is \(w>1\)? (1) \(w+2>0\) > \(w>2\) (2)(1). Not sufficient. (2) \(w^2>1\) > \(w<1\) or \(w>1\) (1)(1). Not sufficient. (1)+(2) Intersection of the ranges from (1) and (2) is \(2<x<1\) and \(w>1\) (2)(1)(1). Not sufficient to say whether \(w>1\). Answer: E. nice explaination
_________________
Kudos my back and I Kudos your back



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

Re: Is w greater than 1?
[#permalink]
Show Tags
21 Jul 2014, 04:16
Note that we don't know whether w is an integer.
(1) w+2 > 0 > w > 2 IS (2) w² > 1 > w < 1 or w > 1 IS
Together: Since w is no integer, 2<w<1 and w> 1. still IS.
E.



Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6390
GPA: 3.82

Re: Is w greater than 1?
[#permalink]
Show Tags
18 Oct 2015, 07:45
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution. Is w greater than 1? (1) w + 2 > 0 (2) w^2 >1 In DS questions, if the range of the question includes the range of the conditions, the condition becomes the answer If we modify the question in this way, we want to know whether w>1 1) w>2 2) w<1, 1<2 The original condition has one variable so we need one equation, so there is high chance (D) will be our answer 1) the question does not include the condition range, so not sufficient 2) the question does not include the condition range as well, so also not sufficient Even if we combine the 2 conditions, 2<w<1, 1<w. This condition is also not included in the question, so also not sufficient, so the answer becomes (E). For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $99 for 3 month Online Course" "Free Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Senior Manager
Joined: 20 Aug 2015
Posts: 391
Location: India

Is w greater than 1?
[#permalink]
Show Tags
18 Oct 2015, 22:59
aiming4mba wrote: Is w greater than 1?
(1) w + 2 > 0 (2) w^2 >1 Required: w>1? Statement 1: w + 2 >0 w > 2 Here w can take integral values which are between 2 and 1 and also values that are greater than 1. INSUFFICIENTStatement 2: w^2 > 1 w < 1 or w > 1 w can take values that are greater than 1 and less than 1 INSUFFICIENTStatement 1 and Statement 2 combined: On combining both statements, w take values from (2,1) and (1, infinite) INSUFFICIENTCorrect Answer E



Manager
Joined: 24 May 2014
Posts: 89
Location: India
GRE 1: Q159 V151 GRE 2: Q159 V153
GPA: 2.9

Re: Is w greater than 1?
[#permalink]
Show Tags
12 Dec 2015, 09:48
Question:
As per statement 1: w+2>0, in such a case, w=1,0,1,2. Unlimited possibilities. Hence not sufficient As per statement 2: w^2>1, in such a case, w=2 satisfies condition whereas w=2 satisfies condition but is not greater than 1.
Combined: w=2 satisfies both conditions and 2>1. I got option C. Can someone explain my error in reasoning.?



Math Expert
Joined: 02 Sep 2009
Posts: 50002

Re: Is w greater than 1?
[#permalink]
Show Tags
13 Dec 2015, 02:33
narendran1990 wrote: Question:
As per statement 1: w+2>0, in such a case, w=1,0,1,2. Unlimited possibilities. Hence not sufficient As per statement 2: w^2>1, in such a case, w=2 satisfies condition whereas w=2 satisfies condition but is not greater than 1.
Combined: w=2 satisfies both conditions and 2>1. I got option C. Can someone explain my error in reasoning.? Notice that we are NOT told that w must be an integer and reread solutions provide above.
_________________
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 Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6390
GPA: 3.82

Re: Is w greater than 1?
[#permalink]
Show Tags
13 Dec 2015, 17:44
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution. Is w greater than 1? (1) w + 2 > 0 (2) w^2 >1 In inequality, when the range of que includes the range of con, it is important to know that the con is sufficient. In the original condition, there is 1 variable(w), which should match with the number equation. So, you need 1 equation. For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer. In 1) w>2, the range of que doesn’t include the range of con, which is not sufficient. In 2) w<1, 1<w, the range of que doesn’t include the range of con, which is not sufficient. In 1) & 2) which is 2<w<1, 1<w, the range of que doesn’t include the range of con, which is not sufficient. Therefore, the answer is E. > For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
_________________
MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The oneandonly World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only $99 for 3 month Online Course" "Free Resources30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons  try it yourself"



Intern
Joined: 27 Oct 2015
Posts: 26

Re: Is w greater than 1?
[#permalink]
Show Tags
13 Dec 2015, 19:03
The first statement gives is w>2 Not sufficient [Hence A and D options are ruled out] The 2nd statement gives us w^2>1 But square roots can be positive or negative; Not sufficient [Hence option B is ruled out] In terms of answer choices, we are left with C or E Even when we combine the 2 statements, we can't establish w>1 Hence the correct choice is E [If we cannot get the right answer, we can at least eliminate wrong answers to deduce the right answer )



Intern
Joined: 25 Jan 2014
Posts: 15
Concentration: Technology, General Management
Schools: Kellogg '17, Booth '17, Ross '17, Haas '17, Stern '17, Duke '17, Anderson '17, Tepper '17, KenanFlagler '17, Marshall '17, LBS '17, Oxford, ISB '17, Georgia Tech '17, Merage '17, Schulich '17, NUS '17, UrbanaChampaign '17, NTU '17, SPJ GMBA '17

Re: Is w greater than 1?
[#permalink]
Show Tags
07 Jan 2016, 04:00
Bunuel wrote: aiming4mba wrote: Is w greater than 1? 1. w+2 > 0 b. w2 >1 Is \(w>1\)? (1) \(w+2>0\) > \(w>2\) (2)(1). Not sufficient. (2) \(w^2>1\) > \(w<1\) or \(w>1\) (1)(1). Not sufficient. (1)+(2) Intersection of the ranges from (1) and (2) is \(2<x<1\) and \(w>1\) (2)(1)(1). Not sufficient to say whether \(w>1\). Answer: E. Bunuel, Can you please explain as to how did you get the below step. \(w^2>1\) > \(w<1\) or \(w>1\) and just for understanding purpose how will you write, \(W^2<1\) in the same way.



Math Expert
Joined: 02 Aug 2009
Posts: 6961

Re: Is w greater than 1?
[#permalink]
Show Tags
07 Jan 2016, 04:09
arshu27 wrote: Bunuel wrote: aiming4mba wrote: Is w greater than 1? 1. w+2 > 0 b. w2 >1 Is \(w>1\)? (1) \(w+2>0\) > \(w>2\) (2)(1). Not sufficient. (2) \(w^2>1\) > \(w<1\) or \(w>1\) (1)(1). Not sufficient. (1)+(2) Intersection of the ranges from (1) and (2) is \(2<x<1\) and \(w>1\) (2)(1)(1). Not sufficient to say whether \(w>1\). Answer: E. Bunuel, Can you please explain as to how did you get the below step. \(w^2>1\) > \(w<1\) or \(w>1\) and just for understanding purpose how will you write, \(W^2<1\) in the same way. Hi, \(w^2>1\) can be written as.. w^21>0.. (w1)(w+1)>0... it gives us two scenarios.. 1) both (w1) and (w+1) are positive.. w>1 for both to be positive 2) both (w1) and (w+1) are negative.. w<1 in this scenario.. hence you get \(w^2>1\) > \(w<1\) or \(w>1\)
_________________
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: 20 Aug 2015
Posts: 391
Location: India

Re: Is w greater than 1?
[#permalink]
Show Tags
07 Jan 2016, 04:32
arshu27 wrote: Bunuel, Can you please explain as to how did you get the below step. \(w^2>1\) > \(w<1\) or \(w>1\) and just for understanding purpose how will you write, \(W^2<1\) in the same way. Hi arshu27, Remember the following while solving the inequalities questions: Solving an inequality with a less than sign: The value of the variable will be greater than the smaller value and smaller than the greater value. i.e. It will lie between the extremes.
Solving an inequality with a greater than sign: The value of the variable will be smaller than the smaller value and greater than the greater value. i.e. It can take all the values except the values in the range.\(w^2>1\) or \(w^2\)  1 >0 (w1)(w+1) > 0 Therefore, w <  1 or w >1 I think now you can figure out, how \(w^2<1\) would be written.



Director
Joined: 04 Jun 2016
Posts: 569

Is w greater than 1?
[#permalink]
Show Tags
18 Jul 2016, 04:28
aiming4mba wrote: Is w greater than 1?
(1) w + 2 > 0 (2) w^2 >1 Is w greater than 1? (1) w + 2 > 0 w>2 ; w can be {1,0,1,2,3,...77.....3456....INFINITY} w is sometimes ve (1) and sometimes +ve(infinite values) INSUFFICIENT (2)\(w^2 >1\) 1>w>1 ; w can be {all possible values except values lying between 1 to 1} so sometimes ve (2,3,99,....) and sometimes positive (2,3,99,.....) INSUFFICIENT MERGING BOTH w cannot take these four values 2,1,0,1 But w can be many other ve or +ve value INSUFFICIENT ANSWER IS E
_________________
Posting an answer without an explanation is "GOD COMPLEX". The world doesn't need any more gods. Please explain you answers properly. FINAL GOODBYE : 17th SEPTEMBER 2016. .. 16 March 2017  I am back but for all purposes please consider me semiretired.



NonHuman User
Joined: 09 Sep 2013
Posts: 8459

Re: Is w greater than 1?
[#permalink]
Show Tags
30 Nov 2017, 13:37
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: Is w greater than 1? &nbs
[#permalink]
30 Nov 2017, 13:37






