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

 It is currently 22 Feb 2019, 10:33

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

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

Events & Promotions

Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
• Free GMAT RC Webinar

February 23, 2019

February 23, 2019

07:00 AM PST

09:00 AM PST

Learn reading strategies that can help even non-voracious reader to master GMAT RC. Saturday, February 23rd at 7 AM PT
• FREE Quant Workshop by e-GMAT!

February 24, 2019

February 24, 2019

07:00 AM PST

09:00 AM PST

Get personalized insights on how to achieve your Target Quant Score.

When positive integer x is divided by 44, the remainder is 28

Author Message
TAGS:

Hide Tags

CEO
Joined: 11 Sep 2015
Posts: 3447
When positive integer x is divided by 44, the remainder is 28  [#permalink]

Show Tags

30 Mar 2017, 07:35
2
1
Top Contributor
1
00:00

Difficulty:

5% (low)

Question Stats:

85% (01:35) correct 15% (02:01) wrong based on 109 sessions

HideShow timer Statistics

When positive integer x is divided by 44, the remainder is 28. When positive integer y is divided by 22, the remainder is 14. If N = x+y, what is the remainder when N is divided by 11?

A) 1
B) 3
C) 5
D) 7
E) 9

*kudos for all correct solutions

_________________

Test confidently with gmatprepnow.com

Math Expert
Joined: 02 Aug 2009
Posts: 7334
Re: When positive integer x is divided by 44, the remainder is 28  [#permalink]

Show Tags

30 Mar 2017, 07:51
4
1
GMATPrepNow wrote:
When positive integer x is divided by 44, the remainder is 28. When positive integer y is divided by 22, the remainder is 14. If N = x+y, what is the remainder when N is divided by 11?

A) 1
B) 3
C) 5
D) 7
E) 9

*kudos for all correct solutions

Good Question Brent..

When x is divided by 44, remainder is 28...
So the number x is 44t+28, where t is integer..

When y is divided by 22, remainder is 14..
So the number y is 22s+14, where s is integer..

N=x+y = 44t+28+22s+14
So when N is divided by 11, $$\frac{44t+22s+42}{11}$$
44t and 22s are div by 11..
42=11*3+9..
So 9 is the remainder

E
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

GMAT Expert

General Discussion
VP
Joined: 05 Mar 2015
Posts: 1001
Re: When positive integer x is divided by 44, the remainder is 28  [#permalink]

Show Tags

30 Mar 2017, 09:46
2
GMATPrepNow wrote:
When positive integer x is divided by 44, the remainder is 28. When positive integer y is divided by 22, the remainder is 14. If N = x+y, what is the remainder when N is divided by 11?

A) 1
B) 3
C) 5
D) 7
E) 9

*kudos for all correct solutions

x = 44a+28( a = any integer)
Let a =1 then x = 44+28= 72
similarly
y=22b+14 (b=any integer)
let b=1
then y= 36

thus N=x+y =72+36=108
108/11 = 9 9/11

ans E
Manager
Status: GMAT...one last time for good!!
Joined: 10 Jul 2012
Posts: 58
Location: India
Concentration: General Management
GMAT 1: 660 Q47 V34
GPA: 3.5
Re: When positive integer x is divided by 44, the remainder is 28  [#permalink]

Show Tags

30 Mar 2017, 10:46
1
GMATPrepNow wrote:
When positive integer x is divided by 44, the remainder is 28. When positive integer y is divided by 22, the remainder is 14. If N = x+y, what is the remainder when N is divided by 11?

A) 1
B) 3
C) 5
D) 7
E) 9

*kudos for all correct solutions

x=44a+28;y=14+22b
For a=1 and b=1
x=72,y=36
n=x+5=108
remainder-9
_________________

Kudos for a correct solution

VP
Joined: 07 Dec 2014
Posts: 1154
Re: When positive integer x is divided by 44, the remainder is 28  [#permalink]

Show Tags

30 Mar 2017, 10:54
1
GMATPrepNow wrote:
When positive integer x is divided by 44, the remainder is 28. When positive integer y is divided by 22, the remainder is 14. If N = x+y, what is the remainder when N is divided by 11?

A) 1
B) 3
C) 5
D) 7
E) 9

*kudos for all correct solutions

least values of x and y are 28 and 14 respectively
x+y=42=N
N/11 gives a remainder of 9
E
BSchool Forum Moderator
Joined: 07 Jan 2016
Posts: 938
Location: India
GMAT 1: 710 Q49 V36
Re: When positive integer x is divided by 44, the remainder is 28  [#permalink]

Show Tags

30 Mar 2017, 12:09
1
remainder 28 when divided by 44

so 44a + 28

remainder 14 when divided by 22

so 22b + 14

now N = x+y

44a + 22b + 42

N/11

as we know 44 and 22 are divisible by 11 only 42 is remaining

42/11 remainder = -2 or 9

44- 2 = 42
33+9 = 42

E
Manager
Joined: 12 Jun 2016
Posts: 215
Location: India
WE: Sales (Telecommunications)
Re: When positive integer x is divided by 44, the remainder is 28  [#permalink]

Show Tags

04 Aug 2017, 08:45
HI!

Did it by number picking

Possible value of x = 28, 72, 100...
Possible values of y = 14, 36, 58....

Since there can be only one unique solution, add to find the smallest possible value of n = 28 + 14 = 42. Remainder of 42/11 = 9

Is the Kudos for correct solution still valid?
_________________

My Best is yet to come!

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4391
Location: India
GPA: 3.5
Re: When positive integer x is divided by 44, the remainder is 28  [#permalink]

Show Tags

20 Jan 2019, 08:14
GMATPrepNow wrote:
When positive integer x is divided by 44, the remainder is 28. When positive integer y is divided by 22, the remainder is 14. If N = x+y, what is the remainder when N is divided by 11?

A) 1
B) 3
C) 5
D) 7
E) 9

*kudos for all correct solutions

Let $$x = 28$$ and $$y = 14$$

So, $$N = 28 + 14$$ => $$42$$

$$\frac{N}{11} = 11*3 + 9$$, Thus Answer must be (E) 9
_________________

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 )

Re: When positive integer x is divided by 44, the remainder is 28   [#permalink] 20 Jan 2019, 08:14
Display posts from previous: Sort by