It is currently 24 Feb 2018, 08:11

### 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 June
Open Detailed Calendar

# If 0 < 10^n < 1,000,000, where n is a non-negative integer, what is

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 43896
If 0 < 10^n < 1,000,000, where n is a non-negative integer, what is [#permalink]

### Show Tags

01 Aug 2017, 00:03
Expert's post
3
This post was
BOOKMARKED
00:00

Difficulty:

35% (medium)

Question Stats:

53% (00:35) correct 47% (00:58) wrong based on 90 sessions

### HideShow timer Statistics

If $$0 < 10^n < 1,000,000$$, where n is a non-negative integer, what is the greatest value of $$\frac{1}{2^n}$$?

A. 1/2
B. 1
C. 5
D. 32
E. 64
[Reveal] Spoiler: OA

_________________
Director
Joined: 18 Aug 2016
Posts: 628
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
If 0 < 10^n < 1,000,000, where n is a non-negative integer, what is [#permalink]

### Show Tags

01 Aug 2017, 00:10
Bunuel wrote:
If $$0 < 10^n < 1,000,000$$, where n is a non-negative integer, what is the greatest value of $$\frac{1}{2^n}$$?

A. 1/2
B. 1
C. 5
D. 32
E. 64

Since n is a non-negative integer n can take 0,1,2,3,4,5

Greatest value in a fraction means n should be smallest i.e. 0
$$1/2^0$$ = 1

B
_________________

We must try to achieve the best within us

Thanks
Luckisnoexcuse

Intern
Status: GMAT_BOOOOOOM.............. Failure is not an Option
Joined: 22 Jul 2013
Posts: 13
Location: India
Concentration: Strategy, General Management
GMAT 1: 510 Q38 V22
GPA: 3.5
WE: Information Technology (Consulting)
Re: If 0 < 10^n < 1,000,000, where n is a non-negative integer, what is [#permalink]

### Show Tags

01 Aug 2017, 00:15
n is a non-negative integer = N is 0 and all positive integer

0<10n<1,000,000 means Power n can have max value as 5 which will give 100,000

and n can have minimum value as 0 which will make 10n = 1.

So n can be 0,1,2,3,4 and 5

So what value can be taken to make 1/2n (Power N)as max value. So minimum can be taken to make 1/2n max ..which is Zero can be taken.

So Answer will be 1/1 = 1 == Option (B)
_________________

Kudos will be appreciated if it was helpful.

Cheers!!!!
Sit Tight and Enjoy !!!!!!!

Manager
Joined: 20 Aug 2015
Posts: 65
GMAT 1: 710 Q50 V36
If 0 < 10^n < 1,000,000, where n is a non-negative integer, what is [#permalink]

### Show Tags

05 Aug 2017, 08:07
Bunuel wrote:
If $$0 < 10^n < 1,000,000$$, where n is a non-negative integer, what is the greatest value of $$\frac{1}{2^n}$$?

A. 1/2
B. 1
C. 5
D. 32
E. 64

$$0 < 10^n < 1,000,000$$

0 < 10^n < 10^6

So, n could be 0,1,2,3,4,5 since n is a non-negative integer.

The greatest value of $$\frac{1}{2^n}$$ could be achieved if 2^n is the smallest, i.e. for n = 0 at which the fraction becomes 1/2^0
or 1/1 = 1.

Ans B) 1
If 0 < 10^n < 1,000,000, where n is a non-negative integer, what is   [#permalink] 05 Aug 2017, 08:07
Display posts from previous: Sort by