Last visit was: 06 May 2026, 21:44 It is currently 06 May 2026, 21:44
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
User avatar
galiya
Joined: 16 Jan 2011
Last visit: 08 Jan 2018
Posts: 72
Own Kudos:
882
 [11]
Given Kudos: 15
Posts: 72
Kudos: 882
 [11]
1
Kudos
Add Kudos
10
Bookmarks
Bookmark this Post
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 06 May 2026
Posts: 110,128
Own Kudos:
813,355
 [2]
Given Kudos: 106,078
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,128
Kudos: 813,355
 [2]
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
avatar
rajmatthew
Joined: 27 Aug 2011
Last visit: 02 Apr 2015
Posts: 6
Own Kudos:
Given Kudos: 60
Posts: 6
Kudos: 4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
galiya
Joined: 16 Jan 2011
Last visit: 08 Jan 2018
Posts: 72
Own Kudos:
Given Kudos: 15
Posts: 72
Kudos: 882
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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!
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 06 May 2026
Posts: 110,128
Own Kudos:
813,355
 [3]
Given Kudos: 106,078
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 110,128
Kudos: 813,355
 [3]
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Galiya
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.
User avatar
galiya
Joined: 16 Jan 2011
Last visit: 08 Jan 2018
Posts: 72
Own Kudos:
Given Kudos: 15
Posts: 72
Kudos: 882
Kudos
Add Kudos
Bookmarks
Bookmark this Post
my carelessness will ruin my score

thank you for your explanation, Bunuel! you are the best!
User avatar
mbaiseasy
Joined: 13 Aug 2012
Last visit: 29 Dec 2013
Posts: 316
Own Kudos:
Given Kudos: 11
Concentration: Marketing, Finance
GPA: 3.23
Posts: 316
Kudos: 2,097
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 39,023
Own Kudos:
Posts: 39,023
Kudos: 1,123
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Math Expert
110127 posts
498 posts
236 posts