|
Author |
Message |
|
Intern
Joined: 13 Jan 2010
Posts: 23
Followers: 0
Kudos [?]:
2
[1] , given: 10
|
Problem solving question (m25-35) [#permalink]
 19 Jan 2010, 19:07
1
This post received
KUDOS
Question Stats:
72% (01:36) correct
27% (00:41) wrong based on 76 sessions
If M and N are positive integers, then is M an even integer? 1. \frac{M}{N} is an odd integer. 2. M + N is an even integer. Source: GMAT Club Tests - hardest GMAT questions I picked A as the solution, as M and N have to be odd for M/N to be odd. Please advice if someone has a different solution.
|
|
|
|
|
|
|
|
|
Senior Manager
Joined: 30 Aug 2009
Posts: 295
Location: India
Concentration: General Management
Followers: 2
Kudos [?]:
65
[0], given: 5
|
Re: Problem solving question [#permalink]
20 Jan 2010, 04:29
suhasrao wrote: If M and N are positive integers, then is M an even integer?
1. M/N is an odd integer.
2. M+N is an even integer.
stmnt1 - M/N is odd here if N = 1 then M will be odd but if N is 2 then M will be even[ 6,10 etc]. hence insuff stmnt2 - M+N is even here also M and N can be both odd or even. Hence insuff taking together we have if N = 1 let M = 5 then M/N is odd and M+N is even if N =2 and M = 6 then M/N is odd and M+N is even so M can be both even or odd. will go with E
|
|
|
|
|
|
Tuck Thread Master
Joined: 20 Aug 2009
Posts: 314
Location: Tbilisi, Georgia
Schools: Stanford (in), Tuck (WL), Wharton (ding), Cornell (in)
Followers: 7
Kudos [?]:
69
[0], given: 69
|
Re: Problem solving question [#permalink]
20 Jan 2010, 04:35
1) M and N Could be both odd or both even. Consider following examples: 10/2 = 5; 15/5=3. Therefore we cannot determine whether M is even
2) Same case here: M,N are both odd OR both even. consider following: 10+2=12; 15+5=20. That is a dead-end too
Combining the statements is fruitless. We can't narrow down possibilities.
It's (E)
|
|
|
|
|
|
CIO
Joined: 02 Oct 2007
Posts: 1256
Followers: 75
Kudos [?]:
515
[0], given: 334
|
Re: Problem solving question [#permalink]
20 Jan 2010, 04:53
Hi, When you post a question from the GMAT Club Tests the next time, please indicate the Test and question number. For example, this one should have "m25-35" or something similar in the thread title. Thank you for cooperation. suhasrao wrote: If M and N are positive integers, then is M an even integer?
1. M/N is an odd integer.
2. M+N is an even integer.
* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient
I picked A as the solution, as M and N have to be odd for M/N to be odd.
Please advice if someone has a different solution.
_________________
Welcome to GMAT Club! 
   
Want to solve GMAT questions on the go? GMAT Club iPhone app will help.
Please read this before posting in GMAT Club Tests forum
Result correlation between real GMAT and GMAT Club Tests
Are GMAT Club Test sets ordered in any way?
Take 15 free tests with questions from GMAT Club, Knewton, Manhattan GMAT, and Veritas.
Find out what's new at GMAT Club - latest features and updates
|
|
|
|
|
|
Intern
Joined: 02 Jan 2010
Posts: 6
Followers: 0
Kudos [?]:
1
[0], given: 2
|
Re: Problem solving question (m25-35) [#permalink]
21 Jan 2010, 22:11
I went with E as well by plugging in a few combos of m and n that work for both 1 and 2. (m,n) (6,3);(5,1);(6,2);(9,3);(33,11).
|
|
|
|
|
|
Intern
Joined: 07 Sep 2010
Posts: 13
Location: Doha, Qatar
Schools: INSEAD, Princeton, HKUST, Oxford, ISB, SP Jain
WE 1: 5.5
Followers: 0
Kudos [?]:
0
[0], given: 7
|
Re: Problem solving question (m25-35) [#permalink]
15 Sep 2010, 05:56
E statement 1 and 2 hold true for M being Even and Odd, for Both. I used egs - 21/7, 10/5 and 10/2, couldn conclude. Statement 1 - Odd/Odd = Odd ; Even/Even = Odd/Even; 21/7 and 10/2 Statement 2 - Odd + Odd = Even; Even + Even = Even; 21 + 7 = 28; 10 + 2 = 12. With Both statements together - Assuming M/N - Odd (21/7 & 10/2) M can be even or Odd (10 or 21) and Statement 2 is still TRUE. Hence "E"
_________________
If You keep Doing what you have done, You ll keep getting what you have got.
|
|
|
|
|
|
Manager
Status: He who asks is a fool for five minutes, but he who does not ask remains a fool forever
Joined: 20 Aug 2010
Posts: 104
Followers: 2
Kudos [?]:
2
[0], given: 2
|
Re: Problem solving question (m25-35) [#permalink]
15 Sep 2010, 07:59
E
statement 1 and 2 hold true for M being Even and Odd, for Both.
I used - 21/7, 3/3 and 10/2, couldn conclude.
Statement 1 - Odd/Odd = Odd ; Even/Even = Odd/Even; 21/7 and 10/2
Statement 2 - Odd + Odd = Even; Even + Even = Even; 21 + 7 = 28; 10 + 2 = 12.
With Both statements together -
Assuming M/N - Odd (21/7 & 10/2)
M can be even or Odd (10 or 21) and Statement 2 is still TRUE.
Hence "E"
|
|
|
|
|
|
Manager
Affiliations: NCC,SAE,YHIA
Joined: 04 May 2010
Posts: 52
Location: Mumbai , India
WE 1: 3 years international sales & mktg-projects
Followers: 1
Kudos [?]:
7
[0], given: 2
|
Re: Problem solving question (m25-35) [#permalink]
15 Sep 2010, 08:41
E by plugging even & odd numbers.
_________________
Sun Tzu-Victorious warriors win first and then go to war, while defeated warriors go to war first and then seek to win.
|
|
|
|
|
|
Senior Manager
Joined: 20 Jul 2010
Posts: 276
Followers: 2
Kudos [?]:
26
[0], given: 9
|
Re: Problem solving question (m25-35) [#permalink]
15 Sep 2010, 09:07
E by using 6,2 and 9,3 values Posted from my mobile device 
_________________
If you like my post, consider giving me some KUDOS !!!!! Like you I need them
|
|
|
|
|
|
Manager
Joined: 17 May 2010
Posts: 124
Location: United States
Concentration: Entrepreneurship, Marketing
Schools: USC (Marshall) - Class of 2013
GMAT 1: 770 Q50 V46
GPA: 3.26
WE: Brand Management (Consumer Products)
Followers: 5
Kudos [?]:
26
[0], given: 5
|
Re: Problem solving question (m25-35) [#permalink]
15 Sep 2010, 15:13
E. (1). If M/N = odd, then we have Odd/Odd = Odd (49/7 = 7) or Even/Even = Odd (6/2 = 3). So M and N are Odd/Odd or Even/Even. (2). If M + N = Even, then we have the same information. Odd + Odd = Even (3+5 = 8) and Even + Even = Even (4+6 = 10). Combine then both together and we still don't know whether M, N are odd or M, N are even. (From above we know if both were true then M would be what N is, so knowing either would answer the question. We know neither.)
_________________
Discipline + Hard Work = Success! 770 (Q50, V46)
|
|
|
|
|
|
Manager
Joined: 11 Feb 2011
Posts: 91
Followers: 1
Kudos [?]:
0
[0], given: 0
|
Re: Problem solving question (m25-35) [#permalink]
20 Sep 2011, 18:57
easy one..answer is E
|
|
|
|
|
|
Manager
Joined: 27 Oct 2011
Posts: 196
Location: United States
Concentration: Finance, Strategy
GMAT 1: Q V
GPA: 3.7
WE: Account Management (Consumer Products)
Followers: 1
Kudos [?]:
25
[0], given: 4
|
Re: Problem solving question (m25-35) [#permalink]
22 Mar 2012, 20:46
just place examples into each situation. 1. M/N use 18/2 = 9 odd so M is even or 15/5 = 3 odd so M is odd. Insufficient 2. only odd + odd or even + even can equal even. insufficient. combined both say the same thing that m and n are both odd or both even but no specific on which one.
_________________
DETERMINED TO BREAK 700!!!
|
|
|
|
|
|
GMAT Club team member
Joined: 02 Sep 2009
Posts: 12102
Followers: 1879
Kudos [?]:
10115
[2] , given: 961
|
Re: Problem solving question (m25-35) [#permalink]
27 Mar 2012, 02:46
2
This post received
KUDOS
|
|
|
|
|
|
Senior Manager
Joined: 08 Jun 2010
Posts: 400
Location: United States
Concentration: General Management, Finance
GMAT 1: 680 Q50 V32
Followers: 1
Kudos [?]:
38
[0], given: 13
|
Re: Problem solving question (m25-35) [#permalink]
19 Sep 2012, 06:49
I ruled out A and B.
When it came to C, we know M/N = odd
From 1,
M = N * Odd
From 2,
M = Even - N
Combining both, N * Odd = Even - N
N (Odd + 1) = Even
N * (Even) = Even
Since we know N is an integer, E/E = Even or Odd
Answer is E.
|
|
|
|
|
|
Director
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 566
Location: India
GPA: 3.82
WE: Account Management (Retail Banking)
Followers: 10
Kudos [?]:
71
[0], given: 75
|
Re: Problem solving question (m25-35) [#permalink]
19 Sep 2012, 12:16
great explanation by Bunuel , Without confusion it can be solved by his way.
_________________
" Make more efforts "
Press Kudos if you liked my post
|
|
|
|
|
|
Director
Status: Final Countdown
Joined: 17 Mar 2010
Posts: 566
Location: India
GPA: 3.82
WE: Account Management (Retail Banking)
Followers: 10
Kudos [?]:
71
[0], given: 75
|
Re: Problem solving question (m25-35) [#permalink]
19 Sep 2012, 12:17
great explanation by Bunuel , Without confusion it can be solved by his way.Kudos +1 to you.
_________________
" Make more efforts "
Press Kudos if you liked my post
|
|
|
|
|
|
Intern
Joined: 18 Jan 2012
Posts: 46
Location: United States
Followers: 2
Kudos [?]:
37
[0], given: 21
|
Re: Problem solving question (m25-35) [#permalink]
20 Sep 2012, 06:38
We need to remember a few scenarios. Every other scenario gives you EVEN. A) ODD X ODD = ODD (This automatically implies that ODD/ODD = ODD, assuming that the denominator is a factor of numerator) B) ODD +- EVEN = ODD c) EVEN/EVEN = TROUBLE-MAKER (Watch out for this guy, the result is unpredictable ) d) ZERO is considered EVEN. BUT ZERO is neither positive nor negative, its just ZERO
_________________
-----------------------------------------------------------------------------------------------------
IT TAKES QUITE A BIT OF TIME AND TO POST DETAILED RESPONSES.
YOUR KUDOS IS VERY MUCH APPRECIATED
-----------------------------------------------------------------------------------------------------
|
|
|
|
|
|
|
Re: Problem solving question (m25-35)
[#permalink]
20 Sep 2012, 06:38
|
|
|
|
|
|
|
|
|
|
|
close
