GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 May 2019, 05:37

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

Is x^2 + y^2 + 2 divisible by 6?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Intern
Intern
avatar
S
Joined: 19 Dec 2016
Posts: 47
Location: India
Concentration: Technology, Leadership
WE: Consulting (Computer Software)
Is x^2 + y^2 + 2 divisible by 6?  [#permalink]

Show Tags

New post 25 Jul 2017, 16:11
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

41% (00:46) correct 59% (00:44) wrong based on 17 sessions

HideShow timer Statistics

Is x^2 + y^2 + 2 divisible by 6?

(1) xy is even
(2) x is odd

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
If you want to appreciate, just click on Kudos.
Intern
Intern
avatar
Joined: 27 May 2017
Posts: 12
Re: Is x^2 + y^2 + 2 divisible by 6?  [#permalink]

Show Tags

New post Updated on: 26 Jul 2017, 04:08
XY even means either X or Y is even or both X and Y are even.
If X = 2 and Y = 3 then 2^2 +3^2 + 2 = 15 and its not divisible by 6.
if X = 0 and Y = 2 then 0^2 + 2^2 + 2 = 6.

If X = 4 and Y = 4. 4^2 +4^2 + 2 = 34 and its not divisible by 6
inSuff

St 2. If X and Y are both odd
3^2 + 5^2 + 2 = 36 which is divisible by 6
If X is Odd and Y is even sum wont be divisible by 6 NS

Combined Suff.
X is odd Y is even = 3^2 + 2^2 + 2 = 15. not divisible by 6
Ans C


Sent from my SM-G935F using GMAT Club Forum mobile app

Originally posted by Ejiroosa on 25 Jul 2017, 17:21.
Last edited by Ejiroosa on 26 Jul 2017, 04:08, edited 2 times in total.
Senior Manager
Senior Manager
avatar
P
Joined: 27 Dec 2016
Posts: 331
CAT Tests
Re: Is x^2 + y^2 + 2 divisible by 6?  [#permalink]

Show Tags

New post 25 Jul 2017, 18:44
S1- xy= even. If x=1 and y=2 then (1^2+2^2+2) will not be divisible by 6. However; if x=0 and y=2 then (0^2+2^2+2) will BE divisible by 6. Hence, INSUFFICIENT

S2- x is odd. If x is 1 and y is 2, then (1^2+2^2+2) will not be divisible by 6. However, if x=3 and y=1 then (3^2+1^2+2) will BE divisible by 6. Hence, INSUFFICIENT

Together- xy is even and x is also odd. If x is odd, that means y has to be an even number in order for xy=even statement to remain true! No matter what value we take for x as a odd number and y as an even number, we will always get a "no" as our answer which is sufficient to answer this question.

Hence, C

If you liked my post, please give me "+1 KUDOS".
Intern
Intern
avatar
S
Joined: 19 Dec 2016
Posts: 47
Location: India
Concentration: Technology, Leadership
WE: Consulting (Computer Software)
Is x^2 + y^2 + 2 divisible by 6?  [#permalink]

Show Tags

New post Updated on: 25 Jul 2017, 19:57
For x^2 + y^2 + 2 to be divisible by 6 it should be divisible 2 &3 both

now from-

1) xy is even

we have 3 possibility-

a) x is even, y is odd
if this is the case then- x^2 = even no, y^2= odd no,
x^2 + y^2 + 2= even no + odd no + even no
this will give an odd no and will not be divisible by 2 as result will not be divisible by 6 as well.

b)x is odd, y is even
this will be same as above this time y^2=even no, x^2= odd no

c) x is even , y is even
if this is the case then x^2 = even no, y^2= even no
x^2 + y^2 + 2 = even + even + even = even no as result "can be or can not be divisible by 3"

so (i) is not sufficient.

2)x is odd

here we have 2 possibility

a) x is odd, y is odd
if this is the case then- x^2 =odd no, y^2= odd no,
x^2 + y^2 + 2 = even no. (as odd+odd=even) can be or can not be divisible 3.

b)x is odd, y is even

in this x^2 + y^2 + 2 = odd+even+even which will be equal to ODD and will not be divisible by 2

so (ii) too is not sufficient


combining both

x is odd, y is even

we will get x^2 + y^2 + 2=odd+even+even = an odd number
this will not be divisible by 2 hence will not be divisible by 6 as well.

so together they are sufficient (Answer is C)

please hit kudos if you find this helpful


--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.


If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

_________________
If you want to appreciate, just click on Kudos.

Originally posted by GTExl on 25 Jul 2017, 19:38.
Last edited by GTExl on 25 Jul 2017, 19:57, edited 1 time in total.
GMAT Club Bot
Is x^2 + y^2 + 2 divisible by 6?   [#permalink] 25 Jul 2017, 19:38
Display posts from previous: Sort by

Is x^2 + y^2 + 2 divisible by 6?

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


Copyright

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®.