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

 It is currently 19 Oct 2019, 02:52

### 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

# 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: 58452
If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

### Show Tags

23 Dec 2013, 07:37
2
1
00:00

Difficulty:

5% (low)

Question Stats:

89% (00:54) correct 11% (01:05) wrong based on 635 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: 58452
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

### Show Tags

24 Dec 2013, 03:30
3
1
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: 16 Jun 2012
Posts: 988
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, 03:34
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: 1749
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, 02:36
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: 8109
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, 18:38
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

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4772
Location: India
GPA: 3.5
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

### Show Tags

31 Aug 2019, 07:37
Bunuel wrote:
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!

A number > 1000 in the form will be 1001

In 0.0010101*10^k the highlighted part represents that part....

So, 10^k will be 10^6 , Answer must be (E)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
SVP
Joined: 03 Jun 2019
Posts: 1724
Location: India
If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

### Show Tags

16 Sep 2019, 07:48
Bunuel wrote:
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!

If k is an integer and 0.0010101*10^k is greater than 1,000, what is the least possible value of k ?
0.0010101*10^k > 1000
.0010101 * 1000000 = 1010.1>1000; k =6

IMO E
_________________
"Success is not final; failure is not fatal: It is the courage to continue that counts."

Please provide kudos if you like my post. Kudos encourage active discussions.

My GMAT Resources: -

Efficient Learning
All you need to know about GMAT quant

Tele: +91-11-40396815
Mobile : +91-9910661622
E-mail : kinshook.chaturvedi@gmail.com
If k is an integer and 0.0010101*10^k is greater than 1,000,   [#permalink] 16 Sep 2019, 07:48
Display posts from previous: Sort by