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

It is currently 19 Oct 2018, 04:19

Close

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
Your Progress

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

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50001
If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

Show Tags

New post 23 Dec 2013, 07:37
2
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

89% (00:53) correct 11% (01:03) wrong based on 680 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:
1. Please provide your solutions to the questions;
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!

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50001
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

Show Tags

New post 24 Dec 2013, 03:30
3
4
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.

Answer: E.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

General Discussion
Retired Moderator
User avatar
Joined: 16 Jun 2012
Posts: 1036
Location: United States
Premium Member
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

Show Tags

New post 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.
E is the answer.

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
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1829
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

New post 11 Sep 2014, 02:36
1
\(0.0010101*10^6 = 1010.1\)

Answer = 6 = E
_________________

Kindly press "+1 Kudos" to appreciate :)

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3886
Location: United States (CA)
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

Show Tags

New post 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.

Answer: E
_________________

Scott Woodbury-Stewart
Founder and CEO

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

Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 8460
Premium Member
Re: If k is an integer and 0.0010101*10^k is greater than 1,000,  [#permalink]

Show Tags

New post 10 Aug 2018, 09:24
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.
_________________

GMAT Books | GMAT Club Tests | Best Prices on GMAT Courses | GMAT Mobile App | Math Resources | Verbal Resources

GMAT Club Bot
Re: If k is an integer and 0.0010101*10^k is greater than 1,000, &nbs [#permalink] 10 Aug 2018, 09:24
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.