It is currently 10 Dec 2017, 19:20

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

Events & Promotions in June
Open Detailed Calendar

If p, q and r are integers, and pq + r

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

Hide Tags

Manager
Manager
avatar
S
Joined: 19 Aug 2016
Posts: 121

Kudos [?]: 18 [0], given: 55

Location: India
Schools: ISB '20 (WD)
GMAT 1: 610 Q38 V35
GPA: 3.82
Reviews Badge
If p, q and r are integers, and pq + r [#permalink]

Show Tags

New post 12 Nov 2017, 11:35
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

44% (02:31) correct 56% (02:17) wrong based on 27 sessions

HideShow timer Statistics

If p, q and r are integers, and pq + r is an odd integer, is p an even integer?


(1) pq + pr is an even integer.
(2) p + qr is an odd integer.
[Reveal] Spoiler: OA

_________________

Consider giving me Kudos if you find my posts useful, challenging and helpful!

Kudos [?]: 18 [0], given: 55

Director
Director
avatar
P
Joined: 25 Feb 2013
Posts: 613

Kudos [?]: 302 [0], given: 38

Location: India
GPA: 3.82
GMAT ToolKit User Reviews Badge
If p, q and r are integers, and pq + r [#permalink]

Show Tags

New post 12 Nov 2017, 12:08
ashikaverma13 wrote:
If p, q and r are integers, and pq + r is an odd integer, is p an even integer?


(1) pq + pr is an even integer.
(2) p + qr is an odd integer.


Given \(pq+r=Odd\)

Statement 1: \(pq+pr=Even\), add \(r\) to both sides

\(pq+r+pr=Even+r => Odd+pr=Even+r\)

or \(pr-r=Even-Odd => r(p-1)=Odd\)

\(1\) is odd so \(p\) has to be even because if \(p\) is odd then \(p-1\) is even and \(r(p-1)\) will be even which is not possible. Sufficient

Statement 2: \(p+qr=Odd\)

so if \(p=even\) & \(r=Odd\) or \(p=odd\), \(q=odd\) and \(r=even\). So no unique solution. Insufficient

Option A

-------------------------------------------

Another method. Plug in some values and test

Kudos [?]: 302 [0], given: 38

If p, q and r are integers, and pq + r   [#permalink] 12 Nov 2017, 12:08
Display posts from previous: Sort by

If p, q and r are integers, and pq + r

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


GMAT Club MBA Forum Home| About| Terms and Conditions| 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®.