GMAT Changed on April 16th - Read about the latest changes here

It is currently 25 May 2018, 11:58

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

Events & Promotions in June
Open Detailed Calendar

Is x an even integer? (1) x^2 is divisible by 4 (2) x^4 is divisible

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

Hide Tags

Expert Post
1 KUDOS received
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 45423
Is x an even integer? (1) x^2 is divisible by 4 (2) x^4 is divisible [#permalink]

Show Tags

New post 09 Feb 2018, 00:43
1
This post received
KUDOS
Expert's post
5
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

33% (01:47) correct 67% (01:02) wrong based on 92 sessions

HideShow timer Statistics

Senior Manager
Senior Manager
User avatar
G
Joined: 17 Oct 2016
Posts: 326
Location: India
Concentration: Operations, Strategy
GPA: 3.73
WE: Design (Real Estate)
GMAT ToolKit User Premium Member CAT Tests
Re: Is x an even integer? (1) x^2 is divisible by 4 (2) x^4 is divisible [#permalink]

Show Tags

New post 09 Feb 2018, 00:55
IMO D.

from statement 1, we can say x² has to be even integer. Hence x has to be an even integer. sufficient.

from statement 2, we can say x^4 has to be even integer. Hence x has to be an even integer. sufficient.
_________________

Help with kudos if u found the post useful. Thanks

4 KUDOS received
Senior Manager
Senior Manager
avatar
G
Joined: 31 Jul 2017
Posts: 342
Location: Malaysia
WE: Consulting (Energy and Utilities)
Is x an even integer? (1) x^2 is divisible by 4 (2) x^4 is divisible [#permalink]

Show Tags

New post 09 Feb 2018, 04:33
4
This post received
KUDOS
1
This post was
BOOKMARKED
Bunuel wrote:
Is x an even integer?

(1) x^2 is divisible by 4.
(2) x^4 is divisible by 16.


Statement I:

Let \(x = \sqrt{20}, x^2\) is Divisible by 4.
Let \(x = 2, x^2\) is Divisible by 4.........So, Insufficient.

Statement II:

\(x = 2(2)^{1/4}, x^4\) is Divisible by 16.
Let, \(x= 2, x^4\) is Divisible by 16......So, Insufficient.

Combining I & II:

Let \(x = \sqrt{20},\)
\(x^2\) is Divisible by 4 and \(x^4\) is Divisible by 16.

Let \(x = 2\)
\(x^2\) is Divisible by 4 and \(x^4\) is Divisible by 16.

So, Insufficient. Hence, E.
_________________

If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!

Intern
Intern
avatar
B
Joined: 01 Aug 2017
Posts: 9
GMAT ToolKit User
Re: Is x an even integer? (1) x^2 is divisible by 4 (2) x^4 is divisible [#permalink]

Show Tags

New post 09 Feb 2018, 06:22
I agree with rahul16singh28.

In statement 1 is said x^2 is divisible by 4, x^2= a*4 ---> x=a^(1/2)*2 (not considering sings)

so, a could be 1.5 and x= 3 (not an even integer) , but a could be 9 and x= 6 (even integer). Not sufficient

Statement two is no different than statement 1. Also not sufficient

And both together Not sufficient
Manager
Manager
avatar
S
Joined: 23 Sep 2016
Posts: 231
Premium Member Reviews Badge
Re: Is x an even integer? (1) x^2 is divisible by 4 (2) x^4 is divisible [#permalink]

Show Tags

New post 10 Feb 2018, 00:39
Bunuel wrote:
Is x an even integer?

(1) x^2 is divisible by 4.
(2) x^4 is divisible by 16.

I think E is the answer as x could be 4root 3 or 4 we can't saw anything.
Intern
Intern
User avatar
B
Joined: 15 Sep 2017
Posts: 23
Location: United States
Concentration: Entrepreneurship, Technology
GPA: 3.8
WE: Real Estate (Real Estate)
Re: Is x an even integer? (1) x^2 is divisible by 4 (2) x^4 is divisible [#permalink]

Show Tags

New post 27 Feb 2018, 06:44
The trick in this question is that it wants us to think of x in terms ox multiples of 2, such as 2, 4, 8 ... If you plug in any of these numbers, for sure they are divible by 4 (in statement I) or by 16 (in statement II)

We should ask ourselves if there is a non integer number x that when x^2 is divisible by 4 or when x^4 is divisible by 16.

(2√2)^2 is equal to 8 and 8 is divisible by 4
(2 * 2^1/4) ^ 4 is equal to 32 and 32 is divisible by for.

Together, (2 * 2^1/4) ^ 2 is not divisible by 4, so there is at least one number that is sufficient for statements I and II but is not an integer.

Answer: E
_________________

"Revenge is a dish best served cold"

Re: Is x an even integer? (1) x^2 is divisible by 4 (2) x^4 is divisible   [#permalink] 27 Feb 2018, 06:44
Display posts from previous: Sort by

Is x an even integer? (1) x^2 is divisible by 4 (2) x^4 is divisible

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


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®.