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# If n is a positive integer, is (1/10)^n < 0.01?

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Retired Moderator
Joined: 19 Mar 2014
Posts: 942
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
Re: If n is a positive integer, is (1/10)^n < 0.01?  [#permalink]

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21 Jun 2017, 12:57
(1/10)^n < 0.01 ?

Lets simplify this equation.

(1/10)^n < (1/10)^2

n<2?

(1) n>2 ======> Sufficient

(2) 1/10(n-1) < 0.1

n - 1 < 1

n < 2 ======> Suffiient

As both statements are sufficient answer is D
_________________

"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

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Joined: 15 Nov 2016
Posts: 282
Re: If n is a positive integer, is (1/10)^n < 0.01?  [#permalink]

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09 Jul 2018, 04:13
1
this is an old question...not sure if this has been mentioned here before but request someone to make a small addition in the question

I thought only 1 is raised to n and not the entire fraction 1/10...kindly add a bracket (1/10)^n to avoid any confusion
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Joined: 02 Sep 2009
Posts: 51123
Re: If n is a positive integer, is (1/10)^n < 0.01?  [#permalink]

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09 Jul 2018, 04:34
ENEM wrote:
this is an old question...not sure if this has been mentioned here before but request someone to make a small addition in the question

I thought only 1 is raised to n and not the entire fraction 1/10...kindly add a bracket (1/10)^n to avoid any confusion

_____________________
Done. Thank you.
_________________
Re: If n is a positive integer, is (1/10)^n < 0.01? &nbs [#permalink] 09 Jul 2018, 04:34

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The provided text is a GMAT question and its solution, focusing on a mathematical problem. The question asks whether a certain inequality is true for a given positive integer \( n \).
single_question_with_answer
Given a text passage, determine:
    1. If it contains a mathematical question (including word problems or calculations)
    2. If an answer to that mathematical question is provided in the text

First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
- NO_QUESTION
- SINGLE_QUESTION
- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 12 Dec 2018, 04:04

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• ### The winning strategy for 700+ on the GMAT

December 13, 2018

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08:00 AM PST

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What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

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10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

# If n is a positive integer, is (1/10)^n < 0.01?

Author Message
TAGS:

### Hide Tags

Retired Moderator
Joined: 19 Mar 2014
Posts: 942
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
Re: If n is a positive integer, is (1/10)^n < 0.01?  [#permalink]

### Show Tags

21 Jun 2017, 12:57
(1/10)^n < 0.01 ?

Lets simplify this equation.

(1/10)^n < (1/10)^2

n<2?

(1) n>2 ======> Sufficient

(2) 1/10(n-1) < 0.1

n - 1 < 1

n < 2 ======> Suffiient

As both statements are sufficient answer is D
_________________

"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475

Senior Manager
Joined: 15 Nov 2016
Posts: 282
Re: If n is a positive integer, is (1/10)^n < 0.01?  [#permalink]

### Show Tags

09 Jul 2018, 04:13
1
this is an old question...not sure if this has been mentioned here before but request someone to make a small addition in the question

I thought only 1 is raised to n and not the entire fraction 1/10...kindly add a bracket (1/10)^n to avoid any confusion
_________________

If you find my post useful, please give me a kudos.

Thank you.
Regards,
ENEM

If you wish to spend wisely on your gmat prep material, check my post titled: How to Spend Money On GMAT Material Wisely, link: https://gmatclub.com/forum/how-to-buy-gmat-material-wisely-tag-free-gmat-resources-236174.html

Simple and handy template for CR: https://gmatclub.com/forum/simple-and-handy-template-for-cr-242255.html

simple template for more vs greater and fewer vs less: https://gmatclub.com/forum/simple-template-for-more-vs-greater-and-fewer-vs-less-242216.html

Math Expert
Joined: 02 Sep 2009
Posts: 51123
Re: If n is a positive integer, is (1/10)^n < 0.01?  [#permalink]

### Show Tags

09 Jul 2018, 04:34
ENEM wrote:
this is an old question...not sure if this has been mentioned here before but request someone to make a small addition in the question

I thought only 1 is raised to n and not the entire fraction 1/10...kindly add a bracket (1/10)^n to avoid any confusion

_____________________
Done. Thank you.
_________________
Re: If n is a positive integer, is (1/10)^n < 0.01? &nbs [#permalink] 09 Jul 2018, 04:34

Go to page   Previous    1   2   [ 23 posts ]

Display posts from previous: Sort by
user
The provided text is a GMAT question and its solution, focusing on a mathematical problem. The question asks whether a certain inequality is true for a given positive integer \( n \).

TYPE: SINGLE_QUESTION_WITH_ANSWER