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

It is currently 26 Aug 2019, 00:25

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

How many pairs of positive integers (x,y) can satisfy |(x + 3)(y - 3)|

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

Hide Tags

Find Similar Topics 
Senior Manager
Senior Manager
avatar
P
Joined: 30 Sep 2017
Posts: 253
Concentration: Technology, Entrepreneurship
GMAT 1: 720 Q49 V40
GPA: 3.8
WE: Engineering (Real Estate)
How many pairs of positive integers (x,y) can satisfy |(x + 3)(y - 3)|  [#permalink]

Show Tags

New post Updated on: 06 Aug 2019, 21:24
1
1
00:00
A
B
C
D
E

Difficulty:

  75% (hard)

Question Stats:

29% (01:46) correct 71% (02:02) wrong based on 34 sessions

HideShow timer Statistics

How many pairs of positive integers (x,y) can satisfy |(x + 3)(y - 3)| = 4 ?

A. 1
B. 2
C. 3
D. 4
E. None

Originally posted by chondro48 on 06 Aug 2019, 10:35.
Last edited by chondro48 on 06 Aug 2019, 21:24, edited 7 times in total.
Senior Manager
Senior Manager
User avatar
P
Joined: 16 Jan 2019
Posts: 426
Location: India
Concentration: General Management
WE: Sales (Other)
Re: How many pairs of positive integers (x,y) can satisfy |(x + 3)(y - 3)|  [#permalink]

Show Tags

New post 06 Aug 2019, 11:00
2
Since x and y are integers, (x+3) and (y-3) are also integers

Additionally since x is a positive integer, (x+3)≥4 so the minimum value that (x+3) can take is 4 and if (x+3) is greater than 4, we have no integer solution to get |(x+3)*(y-3)|=4

Therefore 4 is the only value that (x+3) can take which means x=1

Now we have 2 ways to get |(x+3)*(y-3)|=4 which are |4*1| and |4*-1|

(y-3) can be 1 or -1 for positive integer values of y (y=2 or y=4)

Therefore our possible solutions are (1,2) and (1,4)

We have 2 positive integer pairs

Answer is (B)

Posted from my mobile device
GMAT Club Bot
Re: How many pairs of positive integers (x,y) can satisfy |(x + 3)(y - 3)|   [#permalink] 06 Aug 2019, 11:00
Display posts from previous: Sort by

How many pairs of positive integers (x,y) can satisfy |(x + 3)(y - 3)|

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





cron

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne