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

It is currently 20 Sep 2018, 15:26

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 pqr = 1, rst = 0, and spr = 0, which of the following must be zero?

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49271
If pqr = 1, rst = 0, and spr = 0, which of the following must be zero?  [#permalink]

Show Tags

New post 18 May 2016, 02:16
3
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

86% (00:32) correct 14% (00:21) wrong based on 230 sessions

HideShow timer Statistics

Manager
Manager
avatar
B
Joined: 07 Mar 2015
Posts: 110
Location: India
Concentration: General Management, Operations
GMAT 1: 590 Q46 V25
GPA: 3.84
WE: Engineering (Energy and Utilities)
Re: If pqr = 1, rst = 0, and spr = 0, which of the following must be zero?  [#permalink]

Show Tags

New post 18 May 2016, 04:09
1
From 1 st equation = P,q,r cannot be zero
From 2 nd equation = s or t should be zero
From 3 rd equation = s should be zero
Senior Manager
Senior Manager
User avatar
Joined: 31 Mar 2016
Posts: 396
Location: India
Concentration: Operations, Finance
GMAT 1: 670 Q48 V34
GPA: 3.8
WE: Operations (Commercial Banking)
GMAT ToolKit User Premium Member
Re: If pqr = 1, rst = 0, and spr = 0, which of the following must be zero?  [#permalink]

Show Tags

New post 18 May 2016, 04:24
1
pqr = 1 which means neither p / q/ r is 0

r x st = 0 , we know r is not 0 from above hence either s or t must be 0.

s x p x r = 0, we know from first expression that p and r are not 0 hence s =0.
CEO
CEO
User avatar
D
Joined: 12 Sep 2015
Posts: 2865
Location: Canada
Re: If pqr = 1, rst = 0, and spr = 0, which of the following must be zero?  [#permalink]

Show Tags

New post 18 Apr 2017, 16:10
1
Top Contributor
Bunuel wrote:
If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?

A. P
B. Q
C. R
D. S
E. T


If pqr = 1, then we can conclude that NONE of the three values is 0 (otherwise the product pqr would equal 0).
So, we know that p ≠ 0, q ≠ 0, and r ≠ 0

If spr = 0, then at least one of the three values (s, p or r) must equal 0
Since we already learned that p ≠ 0 and r ≠ 0, then it MUST be the case that s = 0

Answer:

Cheers,
Brent
_________________

Brent Hanneson – GMATPrepNow.com
Image
Sign up for our free Question of the Day emails

Target Test Prep Representative
User avatar
G
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3516
Location: United States (CA)
Re: If pqr = 1, rst = 0, and spr = 0, which of the following must be zero?  [#permalink]

Show Tags

New post 04 Jul 2018, 19:22
Bunuel wrote:
If pqr = 1, rst = 0, and spr = 0, which of the following must be zero?

A. P
B. Q
C. R
D. S
E. T


Since pqr = 1, none of p, q and r can be 0. Moving to the third equation, we see that since neither p nor r is 0, s must be 0 in order for spr = 0.

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If pqr = 1, rst = 0, and spr = 0, which of the following must be zero? &nbs [#permalink] 04 Jul 2018, 19:22
Display posts from previous: Sort by

If pqr = 1, rst = 0, and spr = 0, which of the following must be zero?

  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®.