Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 20 Jul 2019, 04:45

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

M31-27

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56303
M31-27  [#permalink]

Show Tags

New post 14 Jun 2015, 13:42
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

67% (01:46) correct 33% (01:47) wrong based on 42 sessions

HideShow timer Statistics


When positive integer \(m\) is divided by positive integer \(x\), the reminder is 7 and when positive integer \(n\) is divided by positive integer \(y\), the reminder is 11. Which of the following is a possible value for \(x + y\)?

I. 18

II. 19

III. 20


A. I only
B. II only
C. III only
D. II and III only
E. None

_________________
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56303
Re M31-27  [#permalink]

Show Tags

New post 14 Jun 2015, 13:42
1
Official Solution:


When positive integer \(m\) is divided by positive integer \(x\), the reminder is 7 and when positive integer \(n\) is divided by positive integer \(y\), the reminder is 11. Which of the following is a possible value for \(x + y\)?

I. 18

II. 19

III. 20


A. I only
B. II only
C. III only
D. II and III only
E. None


The remainder is ALWAYS less than the divisor, thus \(x > 7\) and \(y > 11\). Therefore the least values of \(x\) and \(y\) are 8 and 12, respectively, making the least value of \(x + y\) equal to 20.


Answer: C
_________________
Intern
Intern
avatar
Joined: 10 Dec 2015
Posts: 11
GMAT 1: 590 Q36 V35
Reviews Badge
Re: M31-27  [#permalink]

Show Tags

New post 29 Sep 2016, 20:08
Hi! If x>7 and y>11, isn't it possible to say that x+y>18? Then, the answer could also be 19.
I understand that if we consider each equation separately, the answer has to be 20, but I wanted to check if we're allowed to combine the equations to get "19".
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56303
Re: M31-27  [#permalink]

Show Tags

New post 30 Sep 2016, 06:19
nelliegu wrote:
Hi! If x>7 and y>11, isn't it possible to say that x+y>18? Then, the answer could also be 19.
I understand that if we consider each equation separately, the answer has to be 20, but I wanted to check if we're allowed to combine the equations to get "19".


The point is, we are told that x and y are positive integers. For positive integers x and y, where x > 7 and y > 11, it's not possible that x + y = 19.
_________________
Intern
Intern
avatar
Joined: 10 Dec 2015
Posts: 11
GMAT 1: 590 Q36 V35
Reviews Badge
Re: M31-27  [#permalink]

Show Tags

New post 02 Oct 2016, 13:04
I had missed that, thanks.
Intern
Intern
avatar
B
Joined: 30 May 2017
Posts: 2
Re: M31-27  [#permalink]

Show Tags

New post 08 Jul 2018, 19:50
If it would not have mentioned that its an integer then ??
Manager
Manager
avatar
S
Joined: 07 Feb 2017
Posts: 182
Re: M31-27  [#permalink]

Show Tags

New post 08 Jul 2018, 20:01
m = xa+7 and x>7
n = yb + 11 and y>11
Eliminate I. and II.
Answer C or E

Ex. for III.
m=15; a=1; x=8
n=23; b=1; y=12
Answer C
Intern
Intern
avatar
B
Joined: 29 Jul 2017
Posts: 31
Location: India
Concentration: Operations, Finance
GPA: 3.94
WE: Design (Manufacturing)
GMAT ToolKit User Reviews Badge CAT Tests
Re M31-27  [#permalink]

Show Tags

New post 03 Jul 2019, 00:28
I think this is a high-quality question and I agree with explanation.
GMAT Club Bot
Re M31-27   [#permalink] 03 Jul 2019, 00:28
Display posts from previous: Sort by

M31-27

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

Moderators: chetan2u, Bunuel






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