It is currently 24 Nov 2017, 04:49

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

Is n^2 an even integer?

Author Message
TAGS:

Hide Tags

Director
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 514

Kudos [?]: 1017 [4], given: 630

Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
Is n^2 an even integer? [#permalink]

Show Tags

02 Nov 2013, 00:56
4
KUDOS
2
This post was
BOOKMARKED
00:00

Difficulty:

55% (hard)

Question Stats:

57% (01:20) correct 43% (01:14) wrong based on 145 sessions

HideShow timer Statistics

Is n^2 an even integer?

(1) n/2 is an odd integer.

(2) (n^2)/2 is not an even integer.

GH-06.12.13 | OE to follow
[Reveal] Spoiler: OA

Kudos [?]: 1017 [4], given: 630

Math Expert
Joined: 02 Sep 2009
Posts: 42356

Kudos [?]: 133196 [3], given: 12439

Re: Is n^2 an even integer? [#permalink]

Show Tags

02 Nov 2013, 04:56
3
KUDOS
Expert's post
1
This post was
BOOKMARKED
Is n^2 an even integer?

Notice that we are NOT told that n is an integer.

(1) n/2 is an odd integer --> $$\frac{n}{2}=odd$$ --> $$n=2*odd=even$$ --> n^2=even^2=even. Sufficient.

(2) (n^2)/2 is not an even integer --> if n=1, then the answer is NO but if $$n=\sqrt{2}$$, then the answer is YES. Not sufficient.

Hope it's clear.
_________________

Kudos [?]: 133196 [3], given: 12439

Director
Status: 1,750 Q's attempted and counting
Affiliations: University of Florida
Joined: 09 Jul 2013
Posts: 514

Kudos [?]: 1017 [0], given: 630

Location: United States (FL)
Schools: UFL (A)
GMAT 1: 600 Q45 V29
GMAT 2: 590 Q35 V35
GMAT 3: 570 Q42 V28
GMAT 4: 610 Q44 V30
GPA: 3.45
WE: Accounting (Accounting)
Re: Is n^2 an even integer? [#permalink]

Show Tags

05 Nov 2013, 22:42
Official Explanation

- Statement (1) is sufficient. If n/2 is an odd integer, we can find n by multiplying both sides by 2. n is 2 times an odd integer, which is always an even. If n is an even, then n^2 is an even -- an even times an even is always an even.

Statement (2) is not sufficient. Note that "not an even integer" does not mean "an odd integer." It could also refer to any non-integer, such as 4.5. If n = 3, then n^2 = 9 and n^2/2 = 4.5, which is not an even integer. In that case, the answer is "no." However, if n^2 = 2, then n^2/2 = 1, which is not an even integer. But in this case, n^2 is even, so the answer is "yes." Choice (A) is correct.

Kudos [?]: 1017 [0], given: 630

Retired Moderator
Joined: 12 Aug 2015
Posts: 2213

Kudos [?]: 881 [0], given: 602

Re: Is n^2 an even integer? [#permalink]

Show Tags

22 Aug 2016, 02:59
Excellent Question
Here we don't know if N is an integer or not
Statement 1 => n/2=odd => n must be an integer and that too even as n=odd*2
suff
Staement 2 => n^2/2≠even =z(say)
Now for z=>
case 1 => let it be odd => n^2 will be even=> YES
case 2 => let it be 4.5 => n^2/2=4.5 => n^2 is odd => NO
case 3 => let it be 3434850948540.324334314343 (anything) clearly here n wont be an integer forget it being odd/even=> NO
hence insuff
Smash that A
_________________

Give me a hell yeah ...!!!!!

Kudos [?]: 881 [0], given: 602

Joined: 13 Jan 2015
Posts: 113

Kudos [?]: 18 [0], given: 67

Location: United Kingdom
Concentration: Other, General Management
Schools: LBS '19 (WL)
GMAT 1: 690 Q48 V36
Re: Is n^2 an even integer? [#permalink]

Show Tags

23 Aug 2016, 14:37
I do not agree with A being the answer.
Please correct me if i am wrong

If N = 1/2, then for statement 1

1/2 /2 = 1 which is an odd integer which makes then N^2 is not even

Kudos [?]: 18 [0], given: 67

Retired Moderator
Joined: 12 Aug 2015
Posts: 2213

Kudos [?]: 881 [2], given: 602

Re: Is n^2 an even integer? [#permalink]

Show Tags

23 Aug 2016, 14:42
2
KUDOS
Tmoni26 wrote:
I do not agree with A being the answer.
Please correct me if i am wrong

If N = 1/2, then for statement 1

1/2 /2 = 1 which is an odd integer which makes then N^2 is not even

Hi mate
The mistake you made here is as follows => 1/2 /2 = 1/4 not 1
If x/2=odd integer => x=2*odd now as we know that the product of two integers is always an integer => x is an integer and that too even as 2 is its factor.
Smash that A
_________________

Give me a hell yeah ...!!!!!

Kudos [?]: 881 [2], given: 602

Non-Human User
Joined: 09 Sep 2013
Posts: 15497

Kudos [?]: 283 [0], given: 0

Re: Is n^2 an even integer? [#permalink]

Show Tags

30 Oct 2017, 03:36
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.
_________________

Kudos [?]: 283 [0], given: 0

Re: Is n^2 an even integer?   [#permalink] 30 Oct 2017, 03:36
Display posts from previous: Sort by

Is n^2 an even integer?

 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®.