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

It is currently 18 Oct 2019, 22:32

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

Is (p-2) (q-2) square of an integer?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Director
Director
avatar
V
Joined: 18 Feb 2019
Posts: 581
Location: India
GMAT 1: 460 Q42 V13
GPA: 3.6
Is (p-2) (q-2) square of an integer?  [#permalink]

Show Tags

New post 29 Mar 2019, 12:42
1
1
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

45% (01:35) correct 55% (01:50) wrong based on 20 sessions

HideShow timer Statistics

Is (p-2) (q-2) square of an integer?

(1) pq = 2(p+q)

(2) p – q = 0
Intern
Intern
avatar
S
Joined: 12 Jul 2016
Posts: 16
Location: India
GMAT 1: 690 Q50 V32
GPA: 3.74
Premium Member
Re: Is (p-2) (q-2) square of an integer?  [#permalink]

Show Tags

New post 29 Mar 2019, 14:17
5
Statement 1

pq = 2(p+q)
So for only value of 4 for both p and q, the condition satisfy.
i.e. 4*4 = 2(4+4)
16 = 16
Statement 1 is sufficient.

Statement 2:
p - q = 0
This implies that p and q are of same value and same sign.There can be any range of values for p and q, i.e. (2,2), (4,4), (100,100).
But for p and q having value 2, the condition (p-2)(q-2)=square of an integer doesn't satisfy, as 0*0 is not a perfect square.
Statement 2 is insufficient condition.

Answer is A

Posted from my mobile device
Intern
Intern
avatar
S
Joined: 12 Jul 2016
Posts: 16
Location: India
GMAT 1: 690 Q50 V32
GPA: 3.74
Premium Member
Re: Is (p-2) (q-2) square of an integer?  [#permalink]

Show Tags

New post 29 Mar 2019, 14:19
1
Statement 1

pq = 2(p+q)
So for only value of 4 for both p and q, the condition satisfy.
i.e. 4*4 = 2(4+4)
16 = 16
Statement 1 is sufficient.

Statement 2:
p - q = 0
This implies that p and q are of same value and same sign.There can be any range of values for p and q, i.e. (2,2), (4,4), (100,100).
But for p and q having value 2, the condition (p-2)(q-2)=square of an integer doesn't satisfy, as 0*0 is not a perfect square.
Statement 2 is insufficient condition.

Answer is A

Posted from my mobile device
GMAT Club Bot
Re: Is (p-2) (q-2) square of an integer?   [#permalink] 29 Mar 2019, 14:19
Display posts from previous: Sort by

Is (p-2) (q-2) square of an integer?

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





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