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

It is currently 18 Dec 2018, 11:22

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
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Happy Christmas 20% Sale! Math Revolution All-In-One Products!

     December 20, 2018

     December 20, 2018

     10:00 PM PST

     11:00 PM PST

    This is the most inexpensive and attractive price in the market. Get the course now!
  • Key Strategies to Master GMAT SC

     December 22, 2018

     December 22, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.

p, q, and r are positive integers. If p, q, and r are assembled into t

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

Hide Tags

SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1825
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
p, q, and r are positive integers. If p, q, and r are assembled into t  [#permalink]

Show Tags

New post 27 Oct 2014, 19:51
5
13
00:00
A
B
C
D
E

Difficulty:

  55% (hard)

Question Stats:

61% (01:53) correct 39% (01:38) wrong based on 151 sessions

HideShow timer Statistics

p, q, and r are positive integers. If p, q, and r are assembled into the six-digit number pqrpqr, which one of the following must be a factor of pqrpqr?

(A) 23
(B) 19
(C) 17
(D) 7
(E) none of the above

_________________

Kindly press "+1 Kudos" to appreciate :)

Most Helpful Community Reply
Intern
Intern
avatar
Joined: 16 Oct 2014
Posts: 9
GMAT ToolKit User
Re: p, q, and r are positive integers. If p, q, and r are assembled into t  [#permalink]

Show Tags

New post 28 Oct 2014, 01:28
4
2
One short way -
pqrpqr = 1000pqr + pqr = (1000+1)pqr = 1001pqr

Therefore any factor of 1001 is a factor of pqrpqr
7 is a factor of 1001

So D
General Discussion
Intern
Intern
avatar
Joined: 23 Oct 2012
Posts: 44
GMAT ToolKit User
Re: p, q, and r are positive integers. If p, q, and r are assembled into t  [#permalink]

Show Tags

New post 28 Oct 2014, 01:09
Nice question. i was wondering what would be the shortest way to solve this problem.

Bunuel, your help is required ?
_________________

Kudos please!

Intern
Intern
avatar
B
Joined: 08 Aug 2017
Posts: 3
WE: Analyst (Investment Banking)
Re: p, q, and r are positive integers. If p, q, and r are assembled into t  [#permalink]

Show Tags

New post 13 Oct 2017, 06:42
JohanH wrote:
One short way -
pqrpqr = 1000pqr + pqr = (1000+1)pqr = 1001pqr

Therefore any factor of 1001 is a factor of pqrpqr
7 is a factor of 1001

So D


How to know that 7 is a factor of 1,001?:
1. Take the last digit of 1,001 and multiply it by 2: 1x2 = 2
2. Calculate the difference between the other digits and the last result: 100 - 2 = 98, is 98 a factor of 7? Yes (98 : 7 = 14). Then, answer D is correct.
Manager
Manager
avatar
B
Joined: 19 Aug 2016
Posts: 84
CAT Tests
Re: p, q, and r are positive integers. If p, q, and r are assembled into t  [#permalink]

Show Tags

New post 19 Oct 2017, 21:37
JohanH wrote:
One short way -
pqrpqr = 1000pqr + pqr = (1000+1)pqr = 1001pqr

Therefore any factor of 1001 is a factor of pqrpqr
7 is a factor of 1001

So D




Why are we doing 1000 pqr???
just wondering what the logic is

Thanks
Manager
Manager
avatar
B
Joined: 06 Aug 2017
Posts: 86
GMAT 1: 570 Q50 V18
GMAT 2: 610 Q49 V24
GMAT 3: 640 Q48 V29
p, q, and r are positive integers. If p, q, and r are assembled into t  [#permalink]

Show Tags

New post 21 Oct 2017, 04:36
1
PareshGmat wrote:
p, q, and r are positive integers. If p, q, and r are assembled into the six-digit number pqrpqr, which one of the following must be a factor of pqrpqr?

(A) 23
(B) 19
(C) 17
(D) 7
(E) none of the above


Another, more clear method of doing this.

pqrpqr => 100000p+10000q+1000r+100p+10q+r =>(100000+100)p +(10000+10)q+(1000+1)r =>100100p + 10010q +1001r => 1001 (100p+10q+r)

So pqrpqr = 1001 (100p+10q+r) = 1001 (pqr)

1001 is always divisible by 7.

hence answer is D
_________________

-------------------------------------------------------------------------------
Kudos are the only way to tell whether my post is useful.

GMAT PREP 1: Q50 V34 - 700

Veritas Test 1: Q43 V34 - 630
Veritas Test 2: Q46 V30 - 620
Veritas Test 3: Q45 V29 - 610
Veritas Test 4: Q49 V30 - 650

GMAT PREP 2: Q50 V34 - 700

Veritas Test 5: Q47 V33 - 650
Veritas Test 5: Q46 V33 - 650

Manager
Manager
avatar
B
Joined: 06 Aug 2017
Posts: 86
GMAT 1: 570 Q50 V18
GMAT 2: 610 Q49 V24
GMAT 3: 640 Q48 V29
Re: p, q, and r are positive integers. If p, q, and r are assembled into t  [#permalink]

Show Tags

New post 21 Oct 2017, 04:40
zanaik89 wrote:
JohanH wrote:
One short way -
pqrpqr = 1000pqr + pqr = (1000+1)pqr = 1001pqr

Therefore any factor of 1001 is a factor of pqrpqr
7 is a factor of 1001

So D




Why are we doing 1000 pqr???
just wondering what the logic is

Thanks


Hi Zanaik,

Here, is how it is derived.

pqrpqr => 100000p+10000q+1000r+100p+10q+r =>(100000+100)p +(10000+10)q+(1000+1)r =>100100p + 10010q +1001r => 1001 (100p+10q+r)

So pqrpqr = 1001 (100p+10q+r) = 1001 (pqr)
_________________

-------------------------------------------------------------------------------
Kudos are the only way to tell whether my post is useful.

GMAT PREP 1: Q50 V34 - 700

Veritas Test 1: Q43 V34 - 630
Veritas Test 2: Q46 V30 - 620
Veritas Test 3: Q45 V29 - 610
Veritas Test 4: Q49 V30 - 650

GMAT PREP 2: Q50 V34 - 700

Veritas Test 5: Q47 V33 - 650
Veritas Test 5: Q46 V33 - 650

Manager
Manager
avatar
B
Joined: 19 Aug 2016
Posts: 84
CAT Tests
Re: p, q, and r are positive integers. If p, q, and r are assembled into t  [#permalink]

Show Tags

New post 21 Oct 2017, 23:51
Jabjagotabhisavera wrote:
zanaik89 wrote:
JohanH wrote:
One short way -
pqrpqr = 1000pqr + pqr = (1000+1)pqr = 1001pqr

Therefore any factor of 1001 is a factor of pqrpqr
7 is a factor of 1001

So D




Why are we doing 1000 pqr???
just wondering what the logic is

Thanks


Hi Zanaik,

Here, is how it is derived.

pqrpqr => 100000p+10000q+1000r+100p+10q+r =>(100000+100)p +(10000+10)q+(1000+1)r =>100100p + 10010q +1001r => 1001 (100p+10q+r)

So pqrpqr = 1001 (100p+10q+r) = 1001 (pqr)


Excellent explanation!!

Thank u very much for the reply...Really appreciate it!!
GMAT Club Bot
Re: p, q, and r are positive integers. If p, q, and r are assembled into t &nbs [#permalink] 21 Oct 2017, 23:51
Display posts from previous: Sort by

p, q, and r are positive integers. If p, q, and r are assembled into t

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


Copyright

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®.