Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 19 Jul 2019, 04:09

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, is pq a prime number?

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

Hide Tags

Find Similar Topics 
Intern
Intern
avatar
B
Joined: 15 Jan 2018
Posts: 17
Location: India
If p and q are positive integers, is pq a prime number?  [#permalink]

Show Tags

New post 09 Aug 2018, 21:05
1
1
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

69% (00:51) correct 31% (00:42) wrong based on 34 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
Retired Moderator
User avatar
D
Joined: 30 Jan 2015
Posts: 805
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, 21:12
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: 7764
Re: If p and q are positive integers, is pq a prime number?  [#permalink]

Show Tags

New post 09 Aug 2018, 21:14
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
_________________
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3359
Location: India
GPA: 3.12
Re: If p and q are positive integers, is pq a prime number?  [#permalink]

Show Tags

New post 10 Aug 2018, 00:33
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?   [#permalink] 10 Aug 2018, 00:33
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  





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