Find all School-related info fast with the new School-Specific MBA Forum
Learn more about the recent changes... close

It is currently 22 May 2013, 19:38
Customize  |  Hide

Search
Register
New posts
Unanswered

Does pqr equal r?

  Question banks Downloads My Bookmarks Reviews  
  Oldest Best Reply
Search for:
 
Print view
First unread post
Author Message
TAGS:
Manager
Manager
User avatar
Joined: 16 Jan 2011
Posts: 87
Followers: 5

Kudos [?]: 8 [0], given: 12

Does pqr equal r? [#permalink] New post 12 Aug 2012, 13:34
00:00

Question Stats:

58% (01:18) correct 41% (00:21) wrong based on 0 sessions
Does pqr equal r?

(1) pqs = s where s is some unknown number
(2) mpq = m where m is some unknown number
[Reveal] Spoiler: OA
1 KUDOS received
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11566
Followers: 1796

Kudos [?]: 9577 [1] , given: 826

GMAT Tests User CAT Tests
Top Member of the Month
Re: Does pqr equal r? [#permalink] New post 12 Aug 2012, 13:47
1
This post received
KUDOS
Does pqr equal r?

Does pqr=r? --> does pqr-r=0? --> does r(pq-1)=0? --> does r=0 or pq=1?

(1) pqs = s where s is some unknown number --> pqs=s --> pqs-s=0 --> s(pq-1)=0 --> s=0 or pq=1. Not sufficient.

(2) mpq = m where m is some unknown number --> mpq=m --> mpq-m=0 --> m(pq-1)=0 --> m=0 or pq=1. Not sufficient.

(1)+(2) If s=m=0 then pq can take any value, so it may or may not equal to 1. Not sufficient.

Answer: E.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

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. NEW!!!

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. NEW!!!


What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Intern
Intern
Joined: 27 Aug 2011
Posts: 14
Followers: 0

Kudos [?]: 1 [0], given: 36

GMAT Tests User
Re: Does pqr equal r? [#permalink] New post 13 Aug 2012, 10:52
Cant combining equal PQ=1 ?
Manager
Manager
User avatar
Joined: 16 Jan 2011
Posts: 87
Followers: 5

Kudos [?]: 8 [0], given: 12

Re: Does pqr equal r? [#permalink] New post 13 Aug 2012, 12:28
why cant i come to pq=1 from pqs=s? for the 1st statement and pq=q from mpq=m?
may be its too stupid even to ask such a question, but im stuck!
GMAT Club team member
User avatar
Joined: 02 Sep 2009
Posts: 11566
Followers: 1796

Kudos [?]: 9577 [0], given: 826

GMAT Tests User CAT Tests
Top Member of the Month
Re: Does pqr equal r? [#permalink] New post 14 Aug 2012, 01:04
Galiya wrote:
why cant i come to pq=1 from pqs=s? for the 1st statement and pq=q from mpq=m?
may be its too stupid even to ask such a question, but im stuck!


That's not a stupid question at all.

The point is that from pqs = s it's not necessary pq to be 1: pqs=s --> pqs-s=0 --> s(pq-1)=0 --> s=0 OR pq=1. So, as you see, if s=0, then pq can take ANY value: 1, 10, -9, 0, ... Therefore we cannot say from the first statement whether pq=1.

The same for (2).

Hope it's clear.
_________________

PLEASE READ AND FOLLOW: 11 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory

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. NEW!!!

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. NEW!!!


What are GMAT Club Tests?
25 extra-hard Quant Tests

Find out what's new at GMAT Club - latest features and updates

Manager
Manager
User avatar
Joined: 16 Jan 2011
Posts: 87
Followers: 5

Kudos [?]: 8 [0], given: 12

Re: Does pqr equal r? [#permalink] New post 14 Aug 2012, 08:59
my carelessness will ruin my score

thank you for your explanation, Bunuel! you are the best!
Senior Manager
Senior Manager
User avatar
Joined: 13 Aug 2012
Posts: 468
Followers: 12

Kudos [?]: 75 [0], given: 11

GMAT ToolKit User GMAT Tests User
Re: Does pqr equal r? [#permalink] New post 10 Dec 2012, 06:06
Is pqr = r?

pqr - r = 0
r ( pq - 1) = 0
r = 0 OR pq = 1

For the equation to hold, either:
(1) r=0 and pq could be anything, OR
(2) pq=1 and r could be any number

If we prove (1) or (2) then the answer to the question is YES!

Statement 1: pqs = s tells us either s=0 or pq=1. If s=0 then pq could be any number. it tells nothing about r also. INSUFFICIENT!
Statement 2: pqm = m is the same as Statement 1. INSUFFICIENT!

Answer: E
Re: Does pqr equal r?   [#permalink] 10 Dec 2012, 06:06
    Similar topics Author Replies Last post
Similar
Topics:
 New posts if (1+ 1/r)x=1, then what does x equal in terms of r? ftoor 3 20 Dec 2003, 22:04
New posts If r = q^2 and r does not equal 0, is r > q? (1) -(r*q)/2 duttsit 8 13 Nov 2005, 21:54
New posts 2 If P, Q, R, and S are positive integers, and P/Q=R/S, is R GMATT73 6 01 Sep 2006, 06:21
New posts If r=q^2, and r does not equal 0, is r>q? A. -(rq)/2<1 redbeanaddict 6 10 Oct 2008, 21:30
New posts If P^2-QR=10, Q^2+PR=10, R^2+PQ=10 and R does not equal to Q manalq8 3 12 Jan 2012, 07:54
Display posts from previous: Sort by

Does pqr equal r?

  Question banks Downloads My Bookmarks Reviews  
Print view
First unread post

Moderators: Bunuel, VeritasPrepKarishma, IanStewart

Search for:


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

Powered by phpBB © phpBB Group and phpBB SEO

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®.

Main navigation

GMAT Resources

Partners

MBA Resources

www.gmac.com|www.mba.com