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

It is currently 09 Dec 2018, 17:05

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 in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Algebra Webinar

     December 09, 2018

     December 09, 2018

     07:00 AM PST

     09:00 AM PST

    Attend this Free Algebra Webinar and learn how to master Inequalities and Absolute Value problems on GMAT.
  • Free lesson on number properties

     December 10, 2018

     December 10, 2018

     10:00 PM PST

     11:00 PM PST

    Practice the one most important Quant section - Integer properties, and rapidly improve your skills.

If p and q are positive integers, is pq a prime number?

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

Hide Tags

Intern
Intern
avatar
B
Joined: 15 Jan 2018
Posts: 5
If p and q are positive integers, is pq a prime number?  [#permalink]

Show Tags

New post 09 Aug 2018, 20:05
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

74% (00:40) correct 26% (00:39) wrong based on 27 sessions

HideShow timer Statistics

If p and q are positive integers, is pq prime number?


(1) p > 2
(2) q is a prime number.


Source: PrepAdviser
SC Moderator
User avatar
P
Joined: 30 Jan 2015
Posts: 659
Location: India
Concentration: Operations, Marketing
GPA: 3.5
Re: If p and q are positive integers, is pq a prime number?  [#permalink]

Show Tags

New post 09 Aug 2018, 20:12
Gaara2018 wrote:
If p and q are positive integers, is pq prime number?

1. p>2
No information about q, p could be 3, 4, 5, 6, ....
Insufficient

2. q is a prime number.
No information about p, q could be 2, 3, 5, 7, ...
Insufficient

Combining both:
p * q = not a prime integer (in either of the above cases)
Sufficient

Hence, C.
_________________

The few, the fearless !

Thanks :-)

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7095
Re: If p and q are positive integers, is pq a prime number?  [#permalink]

Show Tags

New post 09 Aug 2018, 20:14
Gaara2018 wrote:
If p and q are positive integers, is pq prime number?
1. p>2
2. q is a prime number.

Source: PrepAdviser



Not a 700 level question..
pq will be prime if one of them is 1 and other a prime..
1) p>2
If p is 3 and q is 1.... yes
If p is 4 and q anything else....No
Insufficient

2) q is prime
Depend on p..
If p is 1... Yes otherwise No
Insufficient

Combined
Both p and q are >1
Ans is always No
Sufficient

C
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3325
Location: India
GPA: 3.12
Premium Member CAT Tests
Re: If p and q are positive integers, is pq a prime number?  [#permalink]

Show Tags

New post 09 Aug 2018, 23:33
Gaara2018 wrote:
If p and q are positive integers, is pq prime number?
1. p>2
2. q is a prime number.

Source: PrepAdviser


1. p>2
Case 1: p = 3, q = 1 | pq is prime
Case 2: p = 4, q = 1 | pq is not prime (Insufficient)

2. q is a prime number.
Case 1: p = 1, q = 2 | pq is prime
Case 2: p = 2, q = 3 | pq is not prime (Insufficient)

By combining the information present in both the sentences, the minimum
value that p can take is 3 and if q is a prime number, the minimum value q
takes is 2. In such a case, the number pq is never prime (Sufficient - Option C)

_________________

You've got what it takes, but it will take everything you've got

GMAT Club Bot
Re: If p and q are positive integers, is pq a prime number? &nbs [#permalink] 09 Aug 2018, 23:33
Display posts from previous: Sort by

If p and q are positive integers, is pq a prime 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®.