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

 It is currently 21 Nov 2018, 12:16

### 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

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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### All GMAT Club Tests are Free and open on November 22nd in celebration of Thanksgiving Day!

November 22, 2018

November 22, 2018

10:00 PM PST

11:00 PM PST

Mark your calendars - All GMAT Club Tests are free and open November 22nd to celebrate Thanksgiving Day! Access will be available from 0:01 AM to 11:59 PM, Pacific Time (USA)
• ### Key Strategies to Master GMAT SC

November 24, 2018

November 24, 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.

# If p is an integer, is q an integer?

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

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50730
If p is an integer, is q an integer?  [#permalink]

### Show Tags

24 Dec 2017, 00:27
00:00

Difficulty:

15% (low)

Question Stats:

78% (00:43) correct 22% (00:38) wrong based on 55 sessions

### HideShow timer Statistics

If p is an integer, is q an integer?

(1) pq is an integer.
(2) p + q is not an integer.

_________________
Senior Manager
Joined: 07 Oct 2017
Posts: 265
Re: If p is an integer, is q an integer?  [#permalink]

### Show Tags

24 Dec 2017, 00:33
Imo B

St1:
p=4 q=4
Yes

p=4 q=1/4
No

Not sufficient

St2:
Integer + q= not integer
Therefore, q can never be an integer
Sufficient

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
_________________

Thank you =Kudos
The best thing in life lies on the other side of the pain.

Manager
Joined: 05 Oct 2014
Posts: 54
Location: India
Concentration: General Management, Strategy
GMAT 1: 580 Q41 V28
GPA: 3.8
WE: Project Management (Energy and Utilities)
Re: If p is an integer, is q an integer?  [#permalink]

### Show Tags

24 Dec 2017, 06:19
Statement 1: pq is an integer.
Lets say p=2
Thus p X q = 2 X 2, q =integer
p X q = 2 X 1/2, q =non- integer, INSUFFICIENT
Statement 2: p + q is not an integer
P is Integer, So Q must be non-integer. SUFFICIENT
Manager
Joined: 24 Nov 2016
Posts: 152
Re: If p is an integer, is q an integer?  [#permalink]

### Show Tags

24 Dec 2017, 12:55
1
Bunuel wrote:
If p is an integer, is q an integer?

(1) pq is an integer.
(2) p + q is not an integer.

(1) pq is an integer. If p = 2, q = 1/2 (not-integer), $$pq=2*1/2=1=integer$$, answer is no. If p = 2 q = 3, $$pq=2*3=6=integer$$ answer is a yes; insufficient.

(2) p + q is not an integer. If $$p+q = non-integer$$ and p = integer, then q must be a non-integer; sufficient.

(B) is the answer.
Director
Joined: 19 Oct 2013
Posts: 503
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: If p is an integer, is q an integer?  [#permalink]

### Show Tags

16 Nov 2018, 13:37
Bunuel wrote:
If p is an integer, is q an integer?

(1) pq is an integer.
(2) p + q is not an integer.

Statement 1)

p * q = integer.

let p = 3
q = 1

yes q is integer.

However, let q = 1/3

3 * 1/3 = 1

q is not an integer. Insufficient.

p + q = not integer.

if q were an integer, it would not satisfy the condition of the second statement so it must be non-integer.

B is sufficient.
Re: If p is an integer, is q an integer? &nbs [#permalink] 16 Nov 2018, 13:37
Display posts from previous: Sort by

# If p is an integer, is q an integer?

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

 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®.