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

 It is currently 24 Jan 2019, 02:50

### 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 January
PrevNext
SuMoTuWeThFrSa
303112345
6789101112
13141516171819
20212223242526
272829303112
Open Detailed Calendar
• ### Key Strategies to Master GMAT SC

January 26, 2019

January 26, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions.
• ### Free GMAT Number Properties Webinar

January 27, 2019

January 27, 2019

07:00 AM PST

09:00 AM PST

Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.

# If k is an integer and 0.0010101*10^k is greater than 1,000,

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 52451
If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

### Show Tags

23 Dec 2013, 06:37
2
1
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:53) correct 11% (01:01) wrong based on 699 sessions

### HideShow timer Statistics

The Official Guide For GMAT® Quantitative Review, 2ND Edition

If k is an integer and 0.0010101*10^k is greater than 1,000, what is the least possible value of k ?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

Problem Solving
Question: 4
Category: Arithmetic Operations on rational numbers
Page: 62
Difficulty: 500

GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________
Math Expert
Joined: 02 Sep 2009
Posts: 52451
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

### Show Tags

24 Dec 2013, 02:30
3
5
SOLUTION

If k is an integer and 0.0010101*10^k is greater than 1,000, what is the least possible value of k ?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

No algebraic manipulation is needed for this one. Consider this: when we multiply 0.0010101 by 10^k (where k is a positive integer), decimal point in 0.0010101 moves k decimal places to the right. The product to be more than 1000 we should move decimal point 6 places to the right to get 1010>1000, thus the least value of k is 6.

_________________
##### General Discussion
Retired Moderator
Joined: 15 Jun 2012
Posts: 1007
Location: United States
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

### Show Tags

25 Dec 2013, 02:34
My explanation (It's basically the same as Bunuel's)
0.0010101*10^k > 1000
--> (1010.1)*10^-6*10^k >1000*10^0
--> (1010.1)*10^(k-6) >1000*10^0
--> because 1010.1 > 1000, we just need 10^(k-6) >= 10^0 --> k-6 >= 0 --> k >= 6
--> min K = 6.

Cheer!
_________________

Please +1 KUDO if my post helps. Thank you.

"Designing cars consumes you; it has a hold on your spirit which is incredibly powerful. It's not something you can do part time, you have do it with all your heart and soul or you're going to get it wrong."

Chris Bangle - Former BMW Chief of Design.

SVP
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1823
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

### Show Tags

11 Sep 2014, 01:36
1
$$0.0010101*10^6 = 1010.1$$

_________________

Kindly press "+1 Kudos" to appreciate

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4612
Location: United States (CA)
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

### Show Tags

22 May 2017, 17:38
Quote:

If k is an integer and 0.0010101*10^k is greater than 1,000, what is the least possible value of k ?

(A) 2
(B) 3
(C) 4
(D) 5
(E) 6

In order for 0.0010101*10^k to be greater than 1,000, we need to move the decimal point in 0.0010101 six places to the right so that we have 1,010.1, which is greater than 1,000. Thus, the minimum value of k is 6.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Non-Human User
Joined: 09 Sep 2013
Posts: 9464
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

### Show Tags

10 Aug 2018, 08:24
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: If k is an integer and 0.0010101*10^k is greater than 1,000, &nbs [#permalink] 10 Aug 2018, 08:24
Display posts from previous: Sort by