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

It is currently 26 May 2019, 20:46

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 P and Q are positive integers, then is (P+2)(Q-1) an even number?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Intern
Intern
avatar
B
Joined: 14 Sep 2016
Posts: 16
If P and Q are positive integers, then is (P+2)(Q-1) an even number?  [#permalink]

Show Tags

New post 24 Jul 2017, 03:20
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

62% (01:30) correct 38% (04:23) wrong based on 13 sessions

HideShow timer Statistics

If P and Q are positive integers, then is (P+2)(Q-1) an even number?

(1) \(\frac{P}{3Q}\) is an even integer
(2) \(\frac{Q}{\sqrt{P}-3}\) is a positive odd integer

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
SVP
SVP
User avatar
V
Joined: 26 Mar 2013
Posts: 2187
Reviews Badge CAT Tests
If P and Q are positive integers, then is (P+2)(Q-1) an even number?  [#permalink]

Show Tags

New post 24 Jul 2017, 03:41
1
If P and Q are positive integers, then is (P+2)(Q-1) an even number?


(1) \(\frac{P}{3Q}\) is an even integer

P = Some Even integer * 3Q = Even Integer............Regardless of Q is even or odd.

Applying in question:

(P+2)(Q-1) = (Even+2)(Q-1) = Even * (Q-1) = Even

Sufficient

(2) \(\frac{Q}{\sqrt{P}-3}\) is a positive odd integer

Let Q=9 & P =16......... \(\frac{9}{\sqrt{16}-3}\)= 9

(16+2)(9-1) = Even..........Answer is Yes

Let Q = 2 & P =25............. \(\frac{2}{\sqrt{25}-3}\)= 1

(25+2)(2-1) = Odd..........,,Answer is No

Insufficient

Answer: A
Verbal Forum Moderator
User avatar
V
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2292
Location: India
Concentration: General Management, Strategy
Schools: Kelley '20, ISB '19
GPA: 3.2
WE: Information Technology (Consulting)
GMAT ToolKit User Reviews Badge CAT Tests
Re: If P and Q are positive integers, then is (P+2)(Q-1) an even number?  [#permalink]

Show Tags

New post 24 Jul 2017, 22:00
If P and Q are positive integers, then is (P+2)(Q-1) an even number?

(1) \(\frac{P}{3Q}\) is an even integer
P = Even integer * 3Q = Even
(P+2)(Q-1) =(Even +2 ) (Q-1)
P+2 will be even
Sufficient

(2) \(\frac{Q}{\sqrt{P}-3}\) is a positive odd integer
If P=16 and Q=3 ,
\(\frac{Q}{\sqrt{P}-3}\) = 3/1 = 3
=> (P+2)(Q-1) = even

If P = 25 and Q= 2
\(\frac{Q}{\sqrt{P}-3}\) = 2/2 = 1
=> (P+2)(Q-1) = Odd
Not sufficient

Answer A

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it. - Henry Ford
The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long
+1 Kudos if you find this post helpful
GMAT Club Bot
Re: If P and Q are positive integers, then is (P+2)(Q-1) an even number?   [#permalink] 24 Jul 2017, 22:00
Display posts from previous: Sort by

If P and Q are positive integers, then is (P+2)(Q-1) an even number?

  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®.