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

 It is currently 16 Jun 2019, 22:05

### 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

# Is 10^m < 5,000?

Author Message
TAGS:

### Hide Tags

Manager
Joined: 18 Nov 2013
Posts: 62
Location: India
GMAT Date: 12-26-2014
WE: Information Technology (Computer Software)
Re: Is 10^m < 5,000?  [#permalink]

### Show Tags

10 Feb 2014, 04:33
Bunuel wrote:
coolredwine wrote:
Bunuel wrote:

...

In a Yes/No Data Sufficiency questions, statement is sufficient if the answer is “always yes” or “always no” while a statement is insufficient if the answer is "sometimes yes" and "sometimes no". The first statement is not sufficient because we can get both YES (for m=3) and NO (for m=4) answers to the question.

And am I correct in assuming that we can't consider both the statements together for this question?

Based on the questions you ask you don't understand what a data sufficiency question is about. After you get that the first statement is NOT sufficient and the second statement IS sufficient, you do NOT need to consider the statements together. You already have an answer, which is B: Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

My advice is to brush up fundamentals and only then attempt the questions.

The following posts might help.

Best GMAT Quantitative Books: best-gmat-math-prep-books-reviews-recommendations-77291.html

Yup. Thanks for your patience though.
Intern
Joined: 31 Jul 2015
Posts: 2
Re: Is 10^m < 5,000?  [#permalink]

### Show Tags

06 Nov 2015, 05:41
Is $$10^m<5000$$?

(1) $$10^{m+1}>9000$$ --> $$10^m>900$$. If $$10^m$$ is in the range $$900<10^m<{5000}$$ (for instance if $$m=3$$) then the answer to the question will be YES, but if $$10^m\geq{5000}$$ (for instance if $$m=4$$) then the answer to the question will be NO. Not sufficient.

To elaborate more: $$10^m>900$$ means $$m>log_{10}900\approx{2.95}$$.

(2) $$10^{m-1}=10^m-900$$ --> we can calculate $$m$$, so we can answer to the question whether $$10^m<5000$$. Sufficient.

To show how it can be done: $$900=10^m(1-\frac{1}{10})$$ --> $$10^m=1000<5000$$ ($$m=3$$).

Dear Bunuel,
I tried solving it this way :

10^m < 5,000
i.e 10^1 = 10
10^2 = 100
10^3 = 1,000
10^4 = 10,000

Therefore, I concluded 3<m<4.

Now, using the data points given :

(1) 10^m+1 > 9,000
assuming m=3, m+1 = 4.
Therefore, 10^4 = 10,000 > 9,000........SUFFICIENT.

(2) 10^m-1 = 10^m - 900
assuming m=3, m-1 = 2.
Therefore, 10^2 = 100 = 10^3 - 900.....SUFFICIENT.

Please let me know where I am going wrong.
Retired Moderator
Joined: 22 Jun 2014
Posts: 1108
Location: India
Concentration: General Management, Technology
GMAT 1: 540 Q45 V20
GPA: 2.49
WE: Information Technology (Computer Software)
Re: Is 10^m < 5,000?  [#permalink]

### Show Tags

09 Apr 2016, 07:14
shekar123 wrote:
Is 10^m < 5,000?

(1) 10^(m+1) > 9,000
(2) 10^(m–1) = 10^m – 900

stmt-1

10^m * 10 > 9000
10^m > 9 * 10^2

if m =3 then yes else no insuff.

stmt-2

10^m / 10 = 10^m - 900

10^m = 10^(m+1) - 9000

10^(m+1) - 10^m = 9000

10^m (10-1) = 9000

10^m * 9 = 9 * 10^3

m = 3, sufficient.
_________________
Non-Human User
Joined: 09 Sep 2013
Posts: 11367
Re: Is 10^m < 5,000?  [#permalink]

### Show Tags

10 Sep 2018, 01:53
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: Is 10^m < 5,000?   [#permalink] 10 Sep 2018, 01:53

Go to page   Previous    1   2   [ 24 posts ]

Display posts from previous: Sort by