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

It is currently 19 Jun 2019, 00:07

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

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

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 55681
The remainder when dividing the expression (X + Y) by 5 is 4. The rema  [#permalink]

Show Tags

New post 05 Jul 2016, 12:26
1
6
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (01:32) correct 18% (01:36) wrong based on 148 sessions

HideShow timer Statistics

Manager
Manager
User avatar
B
Status: In the realms of Chaos & Night
Joined: 13 Sep 2015
Posts: 149
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema  [#permalink]

Show Tags

New post 05 Jul 2016, 13:10
1
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 "

_________________
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 "


"Thursdays with Ron - Consolidated Verbal Master List - Updated"
Senior Manager
Senior Manager
avatar
Joined: 02 Mar 2012
Posts: 284
Schools: Schulich '16
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema  [#permalink]

Show Tags

New post 05 Jul 2016, 22:48
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
Current Student
User avatar
Joined: 18 Oct 2014
Posts: 830
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]

Show Tags

New post 06 Jul 2016, 06:16
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+
Intern
Intern
avatar
Joined: 06 Jun 2016
Posts: 1
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema  [#permalink]

Show Tags

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
Senior Manager
Senior Manager
avatar
B
Joined: 13 Oct 2016
Posts: 364
GPA: 3.98
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema  [#permalink]

Show Tags

New post 05 Dec 2016, 04:52
1
1
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.
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4504
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]

Show Tags

New post 05 Dec 2016, 11:01
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 )
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1196
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema  [#permalink]

Show Tags

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
Intern
Intern
avatar
B
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]

Show Tags

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
VP
VP
avatar
P
Joined: 07 Dec 2014
Posts: 1196
The remainder when dividing the expression (X + Y) by 5 is 4. The rema  [#permalink]

Show Tags

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
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11396
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema  [#permalink]

Show Tags

New post 05 Feb 2019, 18:51
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
Re: The remainder when dividing the expression (X + Y) by 5 is 4. The rema   [#permalink] 05 Feb 2019, 18:51
Display posts from previous: Sort by

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

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


Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne