Last visit was: 11 Sep 2024, 08:48 It is currently 11 Sep 2024, 08:48
Toolkit
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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

# If n and k are greater than zero, is n/k an integer ?

SORT BY:
Tags:
Show Tags
Hide Tags
Math Expert
Joined: 02 Sep 2009
Posts: 95451
Own Kudos [?]: 657635 [2]
Given Kudos: 87242
Intern
Joined: 14 Dec 2014
Posts: 46
Own Kudos [?]: 105 [2]
Given Kudos: 14
Location: India
Concentration: Technology, Finance
GPA: 3.87
WE:Programming (Computer Software)
Director
Joined: 25 Apr 2012
Posts: 525
Own Kudos [?]: 2348 [1]
Given Kudos: 740
Location: India
GPA: 3.21
Manager
Joined: 20 Feb 2013
Posts: 66
Own Kudos [?]: 98 [2]
Given Kudos: 45
Location: India
GMAT 1: 690 Q49 V34
WE:Information Technology (Computer Software)
Re: If n and k are greater than zero, is n/k an integer ? [#permalink]
2
Kudos
If n and k are greater than zero, is n/k an integer ?

(1) n and k are both integers.
(2) n^ 2 and k^2 are both integers

Solution: Determine whether n is a multiple of k?

Statement 1: n and k are both integers
No relation is defined between n and k - Insufficient

Statement 2: n^ 2 and k^2 are both integers
Again no relation is defined between n and k - Insufficient

Even together statement 1 & 2 are insufficient. Answer E
Manager
Joined: 18 Jan 2017
Posts: 123
Own Kudos [?]: 98 [0]
Given Kudos: 155
Re: If n and k are greater than zero, is n/k an integer ? [#permalink]
Bunuel

Although I got the correct answer easily, looking at explanations got me a little curious about something.
I have a small query. Kindly correct me if I am wrong here.

I see almost every answer for statement 2 as "If n^2 and m^2 are integers, then n and m have to be integers. "

What if n^2 = 2 , then n=Root<2>
and m^2 = 3 ; then m=Root<3>
{Considering the fact that the only information we have been given is that n and m are positive.}

Is my reasoning correct here?
Math Expert
Joined: 02 Sep 2009
Posts: 95451
Own Kudos [?]: 657635 [1]
Given Kudos: 87242
Re: If n and k are greater than zero, is n/k an integer ? [#permalink]
1
Kudos
Inten21 wrote:
Bunuel

Although I got the correct answer easily, looking at explanations got me a little curious about something.
I have a small query. Kindly correct me if I am wrong here.

I see almost every answer for statement 2 as "If n^2 and m^2 are integers, then n and m have to be integers. "

What if n^2 = 2 , then n=Root<2>
and m^2 = 3 ; then m=Root<3>
{Considering the fact that the only information we have been given is that n and m are positive.}

Is my reasoning correct here?

Yes, just knowing that n^2 is an integer does not necessarily mean that n is an integer. For example, $$n=\sqrt{2}$$ --> n^2 = 2 = integer but n is not an integer.
Non-Human User
Joined: 09 Sep 2013
Posts: 34814
Own Kudos [?]: 876 [0]
Given Kudos: 0
Re: If n and k are greater than zero, is n/k an integer ? [#permalink]
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 n and k are greater than zero, is n/k an integer ? [#permalink]