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# Does 2m - 3n = 0 (1) m ≠ 0 (2) 6m = 9n

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Intern
Joined: 22 Aug 2011
Posts: 5
Does 2m - 3n = 0 (1) m ≠ 0 (2) 6m = 9n  [#permalink]

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08 Nov 2011, 00:46
2
00:00

Difficulty:

5% (low)

Question Stats:

91% (00:39) correct 9% (01:02) wrong based on 119 sessions

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Does 2m - 3n = 0

(1) m ≠ 0
(2) 6m = 9n

The answer is B, but I don't understand why.

1. Can't you rewrite the above as 2m = 3n?

If M is...then N is
3 2
6 4
-3 -2
-6 -4

2. The explanation rewrites 2 as 3(2m = 3n) ad says Suff
Intern
Status: Accepted - SMU, Singapore (Class of 2013)
Joined: 08 Sep 2011
Posts: 27
Location: Singapore
Concentration: Finance, General Management
GMAT 1: 620 Q46 V29
GMAT 2: 710 Q50 V35
WE: Information Technology (Computer Software)
Re: Does 2m - 3n = 0 (1) m ≠ 0 (2) 6m = 9n  [#permalink]

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08 Nov 2011, 01:49
1
The question is not asking you to find possible values of (m,n). You are not required to do this at all. All you need to find out is whether 2m -3n = 0

Rewrite the question prompt as -
=> 2m = 3n
=> m/n = 3/2

Statement 1 - m != 0; This tells us nothing about 'n'. Insufficient.
Statement 2 - 6m = 9n => m/n = 3/2 ; The ratio m/n is same as that in the question prompt. Sufficient.

Ans. B
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http://gmatclub.com/forum/from-620-to-710-my-gmat-story-test-date-30-oct-122547.html#p995276

Intern
Joined: 09 Mar 2010
Posts: 28
Concentration: Technology, General Management
Schools: McCombs '14
Re: Does 2m - 3n = 0 (1) m ≠ 0 (2) 6m = 9n  [#permalink]

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08 Nov 2011, 02:40
Damouse wrote:
Does 2m - 3n = 0

1. m not = 0
2. 6m = 9n

The answer is B, but I don't understand why.

1. Can't you rewrite the above as 2m = 3n?

If M is...then N is
3 2
6 4
-3 -2
-6 -4

2. The explanation rewrites 2 as 3(2m = 3n) ad says Suff

The qn says is 2m-3n = 0?
You need to have the values or stat tht gives the result.

i) m is not 0 (may or may not make the stat true)
ii) 6m = 9n implies 2m = 3n so proves the stat 2m-3n = 0 and the stat is true.
Intern
Joined: 29 Jun 2011
Posts: 25
Re: Does 2m - 3n = 0 (1) m ≠ 0 (2) 6m = 9n  [#permalink]

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15 Feb 2012, 23:33
piyushpachori wrote:
The question is not asking you to find possible values of (m,n). You are not required to do this at all. All you need to find out is whether 2m -3n = 0

Rewrite the question prompt as -
=> 2m = 3n
=> m/n = 3/2

Statement 1 - m != 0; This tells us nothing about 'n'. Insufficient.
Statement 2 - 6m = 9n => m/n = 3/2 ; The ratio m/n is same as that in the question prompt. Sufficient.

Ans. B

I probably complicate myself but still wish to clarify if this can be E.

Since the question didn't indicate it is m & n are both INTEGER, so put fraction into considerations as well.
When I put in
m = 2, n = 3 or m = 1/2, n = 1/3, B comes valid...so isn't it a vague question? or I missed any important step? pls advise..thanks
Math Expert
Joined: 02 Sep 2009
Posts: 50624
Re: Does 2m - 3n = 0 (1) m ≠ 0 (2) 6m = 9n  [#permalink]

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16 Feb 2012, 00:05
miweekend wrote:
piyushpachori wrote:
The question is not asking you to find possible values of (m,n). You are not required to do this at all. All you need to find out is whether 2m -3n = 0

Rewrite the question prompt as -
=> 2m = 3n
=> m/n = 3/2

Statement 1 - m != 0; This tells us nothing about 'n'. Insufficient.
Statement 2 - 6m = 9n => m/n = 3/2 ; The ratio m/n is same as that in the question prompt. Sufficient.

Ans. B

I probably complicate myself but still wish to clarify if this can be E.

Since the question didn't indicate it is m & n are both INTEGER, so put fraction into considerations as well.
When I put in
m = 2, n = 3 or m = 1/2, n = 1/3, B comes valid...so isn't it a vague question? or I missed any important step? pls advise..thanks

You are right we are not told that m and n are integers, though we can get that statement (2) is sufficeint even not knowing that.

Does 2m - 3n = 0

Question basically asks whether $$2m=3n$$

(1) $$m\neq{0}$$ --> clearly insufficient as no info about n.
(2) $$6m=9n$$ --> reduce by 3: $$2m=3n$$, so this statement directly answers the question (so here it doesn't matter whether m and n are integers). Sufficient.

Hope it's clear.
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Posts: 8805
Re: Does 2m - 3n = 0 (1) m ≠ 0 (2) 6m = 9n  [#permalink]

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04 Sep 2018, 11:53
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Re: Does 2m - 3n = 0 (1) m ≠ 0 (2) 6m = 9n &nbs [#permalink] 04 Sep 2018, 11:53
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