It is currently 21 Feb 2018, 22:48

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# m=?

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4898
GPA: 3.82

### Show Tags

05 May 2017, 00:48
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

98% (00:42) correct 2% (01:33) wrong based on 42 sessions

### HideShow timer Statistics

m=?

1) $$2^{2m+1}=32$$
2) $$3^{3m-1}=243$$
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Intern
Joined: 29 Apr 2017
Posts: 30
Location: India
Concentration: General Management, Other
WE: Engineering (Computer Software)

### Show Tags

05 May 2017, 01:00
1
This post was
BOOKMARKED
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.

If you like my post, please encourage by giving KUDOS.
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4898
GPA: 3.82

### Show Tags

07 May 2017, 17:00
==> 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.

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Re: m=?   [#permalink] 07 May 2017, 17:00
Display posts from previous: Sort by