NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 14:49 It is currently 26 Apr 2024, 14:49
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If x and y are different integers, both divisible by 5, then which is

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619232 [1]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
If x and y are different integers, both divisible by 5, then which is [#permalink] New post   01 Dec 2015, 03:59
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

93% (00:53) correct 7% (00:47) wrong based on 123 sessions
Hide Show timer Statistics
If x and y are different integers, both divisible by 5, then which is not necessarily true?

(A) x^2 + y^2 is divisible by 5

(B) x - y is divisible by 5

(C) xy is divisible by 5

(D) x + y is divisible by 5

(E) x + y is divisible by 10
ShowHide Answer
Official Answer
E
User avatar
D
Kurtosis
Current Student
Joined: 13 Apr 2015
Posts: 1436
Own Kudos [?]: 4548 [0]
Given Kudos: 1228
Location: India
Send PM
GMAT ToolKit User Reviews Badge
Re: If x and y are different integers, both divisible by 5, then which is [#permalink] New post   01 Dec 2015, 04:07
x = 5k_1
y = 5k_2

A) x^2 + y^2 = 25(K_1^2 + K_2^2) --> Divisible by 5
B) x - y = 5(K_1 - K_2) --> Divisible by 5
C) xy = 25(K_1*K_2) --> Divisible by 5
D) x + y = 5(K_1 + K_2) --> Divisible by 5
E) x + y = 5(K_1 + K_2) --> Not divisible by 10 always

Answer: E
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6072
Own Kudos [?]: 4690 [1]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: If x and y are different integers, both divisible by 5, then which is [#permalink] New post   01 Dec 2015, 12:45
1
Kudos
Bunuel wrote:
If x and y are different integers, both divisible by 5, then which is not necessarily true?

(A) x^2 + y^2 is divisible by 5

(B) x - y is divisible by 5

(C) xy is divisible by 5

(D) x + y is divisible by 5

(E) x + y is divisible by 10


The best way to solve this problem is plugging in some values of x and y

Let x = 5 and y = 10

(A) x^2 + y^2 is 125 (25+100) which is divisible by 5

(B) x - y is -5 ( 5 - 10 ) which is divisible by 5

(C) xy is 50 (5*10) which is divisible by 5

(D) x + y is 15 ( 5 + 10 ) which is divisible by 5

(D) x + y is 15 ( 5 + 10 ) which is not divisible by 10

Hence IMHO (E)
User avatar
L
EMPOWERgmatRichC
GMAT Club Legend
GMAT Club Legend
Joined: 19 Dec 2014
Status:GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Posts: 21846
Own Kudos [?]: 11669 [2]
Given Kudos: 450
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Send PM
Re: If x and y are different integers, both divisible by 5, then which is [#permalink] New post   02 Dec 2015, 23:05
2
Kudos
Expert Reply
Hi All,

This question can be solved rather easily by TESTing VALUES (the approach that Abhishek009 used). The prompt never states that X and Y are positive though, so you don't have to use two different positive multiples of 5. You COULD use...

X = 0
Y = 5

That would make the calculations even easier/faster and still provide the correct answer to the question.

Final Answer:
Show Spoiler
E


GMAT assassins aren't born, they're made,
Rich
User avatar
D
stonecold
Alum
Joined: 12 Aug 2015
Posts: 2282
Own Kudos [?]: 3132 [0]
Given Kudos: 893
Schools: Boston U '20 (M)
GRE 1: Q169 V154
Send PM
GMAT ToolKit User
Re: If x and y are different integers, both divisible by 5, then which is [#permalink] New post   16 Mar 2016, 10:35
Here we can choose 5,10 and 5,15 as the possible cases
and apart of E all satisfy the requirement
hence E
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32689
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: If x and y are different integers, both divisible by 5, then which is [#permalink] New post   04 Feb 2019, 00:01
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.
GMAT Club Bot
gmatclubot
Re: If x and y are different integers, both divisible by 5, then which is [#permalink]
04 Feb 2019, 00:01
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions