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m=?

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Math Revolution GMAT Instructor
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D
Joined: 16 Aug 2015
Posts: 5593
GMAT 1: 800 Q59 V59
GPA: 3.82
m=? [#permalink]

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New post 05 May 2017, 01:48
1
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

98% (00:41) correct 2% (01:33) wrong based on 43 sessions

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m=?

1) \(2^{2m+1}=32\)
2) \(3^{3m-1}=243\)

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Joined: 29 Apr 2017
Posts: 30
Location: India
Concentration: General Management, Other
WE: Engineering (Computer Software)
m=? [#permalink]

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New post 05 May 2017, 02:00
1
MathRevolution wrote:
m=?

1) \(2^{2m+1}=32\)
2) \(3^{3m-1}=243\)



IMO, (D) is the answer i.e., each statement is sufficient alone to answer the question.

Using only (1),
\(2^{2m+1}=32\)
or, \(2^{2m+1}= 2^{5}\)
or, 2m+1=5
So, m = 2

Using only (2),
\(3^{3m-1}=243\)
or, \(3^{3m-1}=3^5\)
or, 3m-1=5
So, m = 2

Therefore, each statement alone is sufficient. Hence (D) is the answer.


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Expert Post
Math Revolution GMAT Instructor
User avatar
D
Joined: 16 Aug 2015
Posts: 5593
GMAT 1: 800 Q59 V59
GPA: 3.82
Re: m=? [#permalink]

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New post 07 May 2017, 18:00
==> In the original condition, there is 1 variable (m) and in order to match the number of variables to the number of equations, there must be 1 equation. Since there is 1 for con 1) and 1 for con 2), D is most likely to be the answer. For con 1), from \(2^{2m+1}=32=2^5, 2m+1=5, 2m=4\), you get m=2, hence it is unique and sufficient. For con 2), you get \(3^{3m-1}=243=3^5\), 3m-1=5, 3m=6, m=2, hence it is unique and sufficient.

Therefore, the answer is D.
Answer: D
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The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
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Re: m=?   [#permalink] 07 May 2017, 18:00
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