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

It is currently 16 Oct 2018, 20:11

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

m and n are positive integers. What is the value of m?

  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: 49915
m and n are positive integers. What is the value of m?  [#permalink]

Show Tags

New post 09 Mar 2016, 12:23
1
5
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

66% (02:51) correct 34% (02:42) wrong based on 189 sessions

HideShow timer Statistics

SC Moderator
User avatar
D
Joined: 13 Apr 2015
Posts: 1694
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
GMAT ToolKit User Premium Member
Re: m and n are positive integers. What is the value of m?  [#permalink]

Show Tags

New post 11 Mar 2016, 02:55
1
1
St1: n > |12 - m| --> not sufficient as we can have many values for m

St2: 3m + 4n = 45
3(3) + 4(9) = 45
3(7) + 4(6) = 45
3(11) + 4(3) = 45
We have 3 different values for m. So not sufficient

Combining St1 and St2, we have
6 > |12 - 7| --> Value of m can be 7
3 > |12 - 11| --> Value of m can be 11
We do not get a unique value of m and hence not sufficient.

Answer: E
Manager
Manager
avatar
Joined: 24 May 2013
Posts: 79
GMAT ToolKit User
Re: m and n are positive integers. What is the value of m?  [#permalink]

Show Tags

New post 16 Mar 2016, 06:47
m and n are positive integers. What is the value of m?

(1) n > |12 - m|
If 12-m>0 => m<12 => n>(12-m) => n+m>12
If 12-m<0 => m>12 => n>-(12-m) => m-n<12
Single value of m cannot be estimated with the above information. INSUFFICIENT.

(2) 3m + 4n = 45
Single value of m cannot be estimated with the above inf. INSUFFICIENT.

combining 1 and 2
It is clear from the graph that there exist multiple values of m satisfying both the conditions. Hence single value of m cannot be obtained even after combining both the statements.
Hence E.

Thanks.
Attachments

value of m.png
value of m.png [ 9.96 KiB | Viewed 1529 times ]

Manager
Manager
User avatar
S
Status: Studying Quant
Joined: 04 Sep 2017
Posts: 103
GPA: 3.6
WE: Sales (Computer Software)
m and n are positive integers. What is the value of m?  [#permalink]

Show Tags

New post 05 Aug 2018, 19:42
Bunuel wrote:
m and n are positive integers. What is the value of m?

(1) n > |12 - m|
(2) 3m + 4n = 45


GIVEN: m and n are positive non zero integers

(1) n and m can be many different values. Not Sufficient

(2) 45 is divisible by 3, but not by 4. So find the LCM of 3 and 4 which = 12. So n can only be values that lead to multiple of 12.
So n = 3, 6, or 9

If n = 3, m = 11
If n = 6, m = 7
If n = 9, m = 3

Not Sufficient


(1) + (2) n = 3 and m = 11 satisfies both statements. n = 6 and m = 7 satisfies both statements.

Answer: E
_________________

Would I rather be feared or loved? Easy. Both. I want people to be afraid of how much they love me.

How to sort questions by Topic, Difficulty, and Source:
https://gmatclub.com/forum/search.php?view=search_tags

Manager
Manager
avatar
S
Joined: 23 Nov 2017
Posts: 95
Location: Singapore
Concentration: Strategy, Other
GMAT 1: 660 Q49 V33
m and n are positive integers. What is the value of m?  [#permalink]

Show Tags

New post 18 Aug 2018, 04:56
@MikeScarn;

[b](2) 45 is divisible by 3, but not by 4. So find the LCM of 3 and 4 which = 12. So n can only be values that lead to multiple of 12.
So n = 3, 6, or 9
[/b] - i dont know this concept, but looks very handy..can you pleasse explain? Also are there any corollaries of this that u can tell.
GMAT Club Bot
m and n are positive integers. What is the value of m? &nbs [#permalink] 18 Aug 2018, 04:56
Display posts from previous: Sort by

m and n are positive integers. What is the value of m?

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


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.