GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Aug 2018, 16:57

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

If v ≠ 0, is |w| < |v| ???

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Board of Directors
User avatar
P
Joined: 01 Sep 2010
Posts: 3450
If v ≠ 0, is |w| < |v| ???  [#permalink]

Show Tags

New post 05 Mar 2012, 08:13
3
2
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

69% (01:02) correct 31% (01:26) wrong based on 384 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 48110
If v ≠ 0, is |w| < |v| ???  [#permalink]

Show Tags

New post 05 Mar 2012, 08:21
1
1
If v ≠ 0, is |w| < |v|?

(1) w/v < 1 --> if \(w=1\) and \(v=2\) the answer is YES but if \(w=-2\) and \(v=1\) the answer is NO. Not sufficient.

(2) w^2/v^2 < 1 --> since \(v^2>0\) then we can safely cross multiply: \(w^2<v^2\) --> \(|w|<|v|\). 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?
Extra-hard Quant Tests with Brilliant Analytics

Board of Directors
User avatar
P
Joined: 01 Sep 2010
Posts: 3450
Re: If v ≠ 0, is |w| < |v| ???  [#permalink]

Show Tags

New post 05 Mar 2012, 10:23
Bunuel wrote:
If v ≠ 0, is |w| < |v|?

(1) w/v < 1 --> if \(w=1\) and \(v=2\) the answer is YES but if \(w=-2\) and \(v=1\) the answer is NO. Not sufficient.

(2) w^2/v^2 < 1 --> since \(v^2>0\) then we can safely cross multiply: \(w^2<v^2\) --> \(|w|<|v|\). Sufficient.

Answer: B.


I hope you are not the only user on this board, Sir.

Clear as usual. Many Thanks
_________________

COLLECTION OF QUESTIONS AND RESOURCES
Quant: 1. ALL GMATPrep questions Quant/Verbal 2. Bunuel Signature Collection - The Next Generation 3. Bunuel Signature Collection ALL-IN-ONE WITH SOLUTIONS 4. Veritas Prep Blog PDF Version 5. MGMAT Study Hall Thursdays with Ron Quant Videos
Verbal:1. Verbal question bank and directories by Carcass 2. MGMAT Study Hall Thursdays with Ron Verbal Videos 3. Critical Reasoning_Oldy but goldy question banks 4. Sentence Correction_Oldy but goldy question banks 5. Reading-comprehension_Oldy but goldy question banks

Manager
Manager
avatar
Joined: 08 Jun 2011
Posts: 88
Re: If v ≠ 0, is |w| < |v| ???  [#permalink]

Show Tags

New post 05 Mar 2012, 20:11
carcass wrote:
Bunuel wrote:
If v ≠ 0, is |w| < |v|?

(1) w/v < 1 --> if \(w=1\) and \(v=2\) the answer is YES but if \(w=-2\) and \(v=1\) the answer is NO. Not sufficient.

(2) w^2/v^2 < 1 --> since \(v^2>0\) then we can safely cross multiply: \(w^2<v^2\) --> \(|w|<|v|\). Sufficient.

Answer: B.


I hope you are not the only user on this board, Sir.

Clear as usual. Many Thanks


Bunuel is indeed a legend. I think we need to clone him.
Intern
Intern
avatar
Joined: 02 Jul 2016
Posts: 1
Re: If v ≠ 0, is |w| < |v| ???  [#permalink]

Show Tags

New post 19 Feb 2017, 06:39
IN OPTION TWO V^2>w^2 E.G 0.9>0.16 BUT THEIR UNDER ROOT IS SIMPLY OPPOSITE V<W I.E 0.3<0.4 KINDLY CLARIFY
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 48110
Re: If v ≠ 0, is |w| < |v| ???  [#permalink]

Show Tags

New post 19 Feb 2017, 09:56
Intern
Intern
avatar
B
Joined: 17 Dec 2014
Posts: 24
Location: India
Schools: IMD Jan'18 (D)
GMAT 1: 710 Q48 V38
WE: Engineering (Energy and Utilities)
GMAT ToolKit User Reviews Badge
Re: If v ≠ 0, is |w| < |v| ???  [#permalink]

Show Tags

New post 19 Feb 2017, 11:02
|w| < |v| and w^2 < v^2 are one and the same thing. Both can be used interchangeably so clearly 2 is sufficient.

1 will be sufficient only if both v and w are both positive or both negative. If they have opposite signs then there absolute value (distance from 0 ) can not be compared.

So Answer will be B .
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 12226
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If v ≠ 0, is |w| < |v| ???  [#permalink]

Show Tags

New post 08 Mar 2018, 21:04
Hi All,

This question is perfect for TESTing Values (and a bit of Number Properties).

We're told that V≠0 and we're asked if |W|<|V|. This is a YES/NO question.

Fact 1: W/V < 1

Let's TEST VALUES:
If W = 1, V = 2, then the answer to the question is YES.
If W = -3, V = 2, then the answer to the question is NO.
Fact 1 is INSUFFICIENT

Fact 2: W^2/V^2 < 1

This becomes W^2 < V^2.

The Number Property here is that "squaring" a term has the same "effect" as the absolute value signs in the question: any negative signs are removed. This ultimately means that the absolute value of V will ALWAYS be greater than the absolute value of W. The answer to the question is ALWAYS YES.
Fact 2 is SUFFICIENT.

Final 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

Co-Founder & 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!***********************

Re: If v ≠ 0, is |w| < |v| ??? &nbs [#permalink] 08 Mar 2018, 21:04
Display posts from previous: Sort by

If v ≠ 0, is |w| < |v| ???

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.