Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 May 2017, 07:33

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 June
Open Detailed Calendar

If p is an integer, is q an integer?

Author Message
TAGS:

Hide Tags

Director
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 537
Location: United Kingdom
GMAT 1: 730 Q49 V45
GPA: 2.9
WE: Information Technology (Consulting)
Followers: 77

Kudos [?]: 3376 [0], given: 217

If p is an integer, is q an integer? [#permalink]

Show Tags

11 Feb 2012, 18:41
00:00

Difficulty:

25% (medium)

Question Stats:

74% (01:48) correct 26% (00:57) wrong based on 43 sessions

HideShow timer Statistics

If p is an integer, is q an integer?
(1) The average (arithmetic mean) of p, q, and r is p.
(2) r is an integer.

Ok - this is how I am trying to solve this.
If the average of three numbers is one of the numbers, that means the numbers are equally spaced. p + q + r = 3p
q - p = p - r. In other words, the difference between p and q is equal to the difference between p and r. That doesnt tell us if q is an integer, because you dont know anything about r.
Statement (2) is also insufficient: simply knowing that r is an integer isnt enough to tell you anything about q.
Taken together, the statements are sufficient as integer minus integer will always be an integer.

Is my explanation and thinking correct to arrive at answer C?
[Reveal] Spoiler: OA

_________________

Best Regards,
E.

MGMAT 1 --> 530
MGMAT 2--> 640
MGMAT 3 ---> 610
GMAT ==> 730

Math Expert
Joined: 02 Sep 2009
Posts: 38854
Followers: 7723

Kudos [?]: 105988 [1] , given: 11602

Re: If P is an integer then Q an integer as well? [#permalink]

Show Tags

11 Feb 2012, 18:50
1
KUDOS
Expert's post
If p is an integer, is q an integer?

(1) The average (arithmetic mean) of p, q, and r is p --> p+q+r=3p --> q+r=2p --> since p is an integer then 2p is an integer --> q+r=integer. Now, if r=integer then q=integer too but if r is not an integer then q also won't be an integer. Not sufficient.

(2) r is an integer. Clearly insufficient.

(1)+(2) From (2) r=integer thus from (1) q=integer. Sufficient.

_________________
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15420
Followers: 649

Kudos [?]: 206 [0], given: 0

Re: If p is an integer, is q an integer? [#permalink]

Show Tags

27 Jun 2015, 16:09
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If p is an integer, is q an integer?   [#permalink] 27 Jun 2015, 16:09
Similar topics Replies Last post
Similar
Topics:
2 If P and Q are Positive Integers, is P/Q terminating? 2 09 Nov 2016, 11:09
4 If x , p and q are positive integers , then 3 08 Oct 2016, 12:38
2 If p and q are nonnegative integers, is √x an integer? 5 15 Jun 2016, 20:11
2 If p and q are positive integers, p/9 is an integer and q/8 is an inte 1 25 Apr 2016, 07:42
20 If n=(p/q) (p and q are nonzero integers), is an integer? 13 13 Jun 2016, 00:26
Display posts from previous: Sort by