NEW HERE? LEARN MORE
closeclose
It is currently 19 Apr 2024, 09:50
Register
GMAT Focus Tests
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

The remainder when dividing the expression (X + Y) by 5 is 4. The rema

15 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92758
CAT Tests Forum Quiz Mode
The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  05 Jul 2016, 12:26
1
Kudos
9
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

15% (low)

Question Stats:

82% (01:34) correct 18% (01:49) wrong based on 320 sessions
Hide Show timer Statistics
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder of Y divided by 5?

A. 1.
B. 2.
C. 3.
D. 4.
E. 5.
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
New to the GMAT CLUB Forum?

My Signature Questions' Collection:


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics
Signature Read More
Most Helpful Reply
User avatar
B
Nightfury14
Manager
Manager
Joined: 13 Sep 2015
Status:In the realms of Chaos & Night
Posts: 125
Schools: ISB '20 INSEAD Jan '19
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  05 Jul 2016, 13:10
4
Kudos
1
Bookmarks
X divided by 10 leaves 2 i.e X is either 2/ 12/ 22/ 32 etc
More over \(\frac{(X+Y)}{5}\)= Remainder 4 .. Possible values are 4/ 9/ 14/ 19 etc

Hence _2 + _? = _4
=> Ans B. 2.

Good luck
=========================================================================================
"If a street performer makes you stop walking, you owe him a buck"
"If this post helps you on your GMAT journey, drop a +1 Kudo "
General Discussion
avatar
hsbinfy
Manager
Manager
Joined: 02 Mar 2012
Posts: 201
Schools: Schulich '16
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  05 Jul 2016, 22:48
1
Kudos
asnwer is 2

x+y/5=4(rem)

x/10=2(rem)

so x can be 2,12,22

so y has to be 2

then only x+y=_4/5=4(rem)

hope it helps
User avatar
Divyadisha
Current Student
Joined: 18 Oct 2014
Posts: 680
Location: United States
GMAT 1: 660 Q49 V31
GPA: 3.98
GMAT ToolKit User
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  06 Jul 2016, 06:16
1
Kudos
1
Bookmarks
Bunuel wrote:
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder of Y divided by 5?

A. 1.
B. 2.
C. 3.
D. 4.
E. 5.


X divided by 10 gives reminder of 2. X can be 2/12/22....

X+Y divided by 5 is 4. X+Y can be 4/ 9/ 19....

If X+Y= 4 and X is 2 then Y = 2 and Y/5 will give a reminder of 2

Similarly, if X+Y= 9 and X = 2, then y/5 will give a reminder of 2

Hence the answer must be 2 (B)
_________________
I welcome critical analysis of my post!! That will help me reach 700+
Signature Read More
avatar
subho111
Intern
Intern
Joined: 06 Jun 2016
Posts: 1
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  06 Jul 2016, 09:23
Divyadisha wrote:
Bunuel wrote:
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder of Y divided by 5?

A. 1.
B. 2.
C. 3.
D. 4.
E. 5.


X divided by 10 gives reminder of 2. X can be 2/12/22....

X+Y divided by 5 is 4. X+Y can be 4/ 9/ 19....

If X+Y= 4 and X is 2 then Y = 2 and Y/5 will give a reminder of 2

Similarly, if X+Y= 9 and X = 2, then y/5 will give a reminder of 2

Hence the answer must be 2 (B)


Also....
x+y=5m+4 and x=10K+2
hence 10k+2+y=5m+4 or y=5(m-2k)+2, m-2k being a constant remainder is 2 hence answer is B
User avatar
B
vitaliyGMAT
Senior Manager
Senior Manager
Joined: 13 Oct 2016
Posts: 300
GPA: 3.98
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  05 Dec 2016, 04:52
2
Kudos
1
Bookmarks
Bunuel wrote:
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder of Y divided by 5?

A. 1.
B. 2.
C. 3.
D. 4.
E. 5.


\(X=10*n+2\)

\(\frac{X}{5} = \frac{10*n + 2}{5} = \frac{0 + 2}{5} = \frac{2}{5}\)

\(X\) will always give remainder 2 when divided by 5, hence to obtain the sum of remainders equal to 4 \(Y\)should bring remainder 2.

B.
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6073
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
GMAT ToolKit User
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  05 Dec 2016, 11:01
1
Kudos
Bunuel wrote:
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder of Y divided by 5?

A. 1.
B. 2.
C. 3.
D. 4.
E. 5.


Lest value of x is 12

Now, \(\frac{(X + Y)}{5}\) = Remainder 4

Or, \(\frac{(12 + Y)}{5}\) = Remainder 4

So, The least value of y = 12

Remainder of \(\frac{y}{5}\) is = 2

Hence, Correct answer will be (B) 2
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Signature Read More
User avatar
P
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1074
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  06 Dec 2016, 13:15
Bunuel wrote:
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder of Y divided by 5?

A. 1.
B. 2.
C. 3.
D. 4.
E. 5.


least possible value of x=2
least possible value of y=2
2/5 gives a remainder of 2
B
avatar
B
srchen
Intern
Intern
Joined: 04 Aug 2016
Posts: 9
GMAT 1: 610 Q39 V35
GMAT 2: 710 Q45 V41
The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  10 Dec 2017, 05:47
Hi,

Is it possible to set the two expressions X + Y = 5Q + 4 & X = 10Q + 2, minus one from the other to get Y = -5Q + 2?

The remainder is therfore 2? Can anyone confirm if this method is incorrect?

Thanks
User avatar
P
gracie
VP
VP
Joined: 07 Dec 2014
Posts: 1074
The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  10 Dec 2017, 12:44
Bunuel wrote:
The remainder when dividing the expression (X + Y) by 5 is 4. The remainder of X divided by 10 is 2. What is the remainder of Y divided by 5?

A. 1.
B. 2.
C. 3.
D. 4.
E. 5.


if X+Y=4, then X<4
if X/10 leaves a remainder of 2, then X=2
Y=(X+Y)-X=(4-2)=2
2/5 leaves a remainder of 2
B
avatar
B
Asariol
Intern
Intern
Joined: 28 Sep 2020
Posts: 23
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  29 Sep 2020, 16:59
I got the right answer. But am questioning my method. Can anyone confirm if this method is correct, if not, please explain why:

Solve for x:

x/10=k+2
x=10k+2
plug 1 in for k
x=12

Solve for y:
x+y/5=k+4
x+y=5k+4
plug in 1 for k
plug in 12 for x
12+y=9
y=-3

Plug in 3, not sure why, but I know to ignore the negative.
3/5=k+r
3=5k+r
plug in 1 for k
3=5+r
r=-2, again I know to ignore the negative

VeritasKarishma
User avatar
L
KarishmaB
Tutor
Joined: 16 Oct 2010
Posts: 14815
Location: Pune, India
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  02 Oct 2020, 00:21
Expert Reply
Asariol wrote:
I got the right answer. But am questioning my method. Can anyone confirm if this method is correct, if not, please explain why:

Solve for x:

x/10=k+2
x=10k+2
plug 1 in for k
x=12

Solve for y:
x+y/5=k+4
x+y=5k+4
plug in 1 for k
plug in 12 for x
12+y=9
y=-3

Plug in 3, not sure why, but I know to ignore the negative.
3/5=k+r
3=5k+r
plug in 1 for k
3=5+r
r=-2, again I know to ignore the negative

VeritasKarishma



It is not correct. You cannot ignore the negative of the remainder.
When the divisor is 5, a remainder of -2 is actually equal to a remainder of 3. (because 5 - 2 = 3)

Check these posts first:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/0 ... unraveled/
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2014/0 ... -the-gmat/

Now, think of it this way:
x divided by 10 gives remainder 2. So x divided by 5 will give remainder 2 too.
Since x + y give remainder 4 when divided by 5, and x gives remainder 2, when divided by 5, the other 2 must have come from y.

Let me know if you need more help on divisibility and remainders concept.
User avatar
L
MathRevolution
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 10163
GMAT 1: 760 Q51 V42
GPA: 3.82
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  02 Oct 2020, 01:25
Expert Reply
Remainder when dividing the expression (X + Y) by 5 is 4: (X + Y) = 5p + 4 => X + Y = 9 , 19, 29, 39, ....

Remainder of X divided by 10 is 2: X = 10q + 2 => X = 12, 22, 32, 42, ....

If X = 12 and X + Y is 19 then Y = 7.

7 divided by '5' will give the remainder '2'.

If X = 32 and X + Y is 39 then Y = 7.

7 divided by '5' will give the remainder '2'.

Answer B
avatar
B
Tonkotsu
Intern
Intern
Joined: 10 Oct 2020
Posts: 44
Location: United States (TN)
Concentration: Strategy, Finance
Schools: Fuqua '23 Johnson'23 Yale '23
GPA: 3.74
WE:Analyst (Consumer Products)
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  16 Nov 2020, 18:34
srchen wrote:
Hi,

Is it possible to set the two expressions X + Y = 5Q + 4 & X = 10Q + 2, minus one from the other to get Y = -5Q + 2?

The remainder is therfore 2? Can anyone confirm if this method is incorrect?

Thanks


I don't think you can, because the quotients (Q) are not equal to each other. However, the intuition on the remainder is the same. You're trying to make up for 4/5ths. So once you have part, you should be able to figure out the other part.
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32543
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink] New post  15 Oct 2023, 20:32
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 Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources
Signature Read More
GMAT Club Bot
gmatclubot
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema [#permalink]
15 Oct 2023, 20:32
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
92758 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

cron

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