NEW HERE? LEARN MORE
closeclose
Last visit was: 29 Apr 2024, 06:47 It is currently 29 Apr 2024, 06:47
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Which of the following when expressed as a decimal has a finite number

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92992
Own Kudos [?]: 619894 [8]
Given Kudos: 81626
Send PM
CAT Tests Forum Quiz Mode
Which of the following when expressed as a decimal has a finite number [#permalink] New post   14 Jan 2018, 06:17
1
Kudos
7
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

55% (hard)

Question Stats:

63% (02:05) correct 37% (02:08) wrong based on 115 sessions
Hide Show timer Statistics
Which of the following when expressed as a decimal has a finite number of non-zero digits to the right of the decimal?

A. \(\frac{0.27^3}{0.09^4}\)

B. \(\frac{0.27^2}{0.09^8}\)

C. \(\frac{27^3}{0.09^6}\)

D. \(\frac{0.27^3}{0.09^5}\)

E. \(\frac{0.27^3}{0.09^9}\)
ShowHide Answer
Official Answer
A
User avatar
L
GMATinsight
GMAT Club Legend
GMAT Club Legend
Joined: 08 Jul 2010
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Posts: 5969
Own Kudos [?]: 13405 [1]
Given Kudos: 124
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Send PM
Reviews Badge
Which of the following when expressed as a decimal has a finite number [#permalink] New post   14 Jan 2018, 06:45
1
Bookmarks
Expert Reply
Bunuel wrote:
Which of the following when expressed as a decimal has a finite number of non-zero digits to the right of the decimal?

A. \(\frac{0.27^3}{0.09^4}\)

B. \(\frac{0.27^2}{0.09^8}\)

C. \(\frac{27^3}{0.09^6}\)

D. \(\frac{0.27^3}{0.09^5}\)

E. \(\frac{0.27^3}{0.09^9}\)



RULE: A number will always be NON-TERMINATING if the denominator of fraction in least form has any prime factor other than 2 and 5

i.e. RULE: A number will always be TERMINATING if the denominator of fraction in least form has NO prime factor other than 2 and 5

A. \(\frac{0.27^3}{0.09^4} = 27^3/9^4 = 3^9/3^8 = 3\) CORRECT ANSWER

B. \(\frac{0.27^2}{0.09^8} = 27^2/9^8 = 3^6/3^16 = 1/3^10\)

C. \(\frac{27^3}{0.09^6} = 27^3/9^6 = 3^9/3^12 = 1/3^3\)

D. \(\frac{0.27^3}{0.09^5} = 27^3/9^4 = 3^9/3^10 = 1/3\)

E. \(\frac{0.27^3}{0.09^9} = 27^3/9^9 = 3^9/3^18 = 1/3^9\)

Answer: Option A
User avatar
B
MvArrow
Manager
Manager
Joined: 06 Sep 2016
Posts: 107
Own Kudos [?]: 56 [0]
Given Kudos: 100
Location: Italy
Schools: EDHEC (A$)
GMAT 1: 650 Q43 V37
GPA: 3.2
WE:General Management (Human Resources)
Send PM
Re: Which of the following when expressed as a decimal has a finite number [#permalink] New post   23 Jan 2018, 02:57
GMATinsight wrote:
Bunuel wrote:
Which of the following when expressed as a decimal has a finite number of non-zero digits to the right of the decimal?

A. \(\frac{0.27^3}{0.09^4}\)

B. \(\frac{0.27^2}{0.09^8}\)

C. \(\frac{27^3}{0.09^6}\)

D. \(\frac{0.27^3}{0.09^5}\)

E. \(\frac{0.27^3}{0.09^9}\)



RULE: A number will always be NON-TERMINATING if the denominator of fraction in least form has any prime factor other than 2 and 5

i.e. RULE: A number will always be TERMINATING if the denominator of fraction in least form has NO prime factor other than 2 and 5

A. \(\frac{0.27^3}{0.09^4} = 27^3/9^4 = 3^9/3^8 = 3\) CORRECT ANSWER

B. \(\frac{0.27^2}{0.09^8} = 27^2/9^8 = 3^6/3^16 = 1/3^10\)

C. \(\frac{27^3}{0.09^6} = 27^3/9^6 = 3^9/3^12 = 1/3^3\)

D. \(\frac{0.27^3}{0.09^5} = 27^3/9^4 = 3^9/3^10 = 1/3\)

E. \(\frac{0.27^3}{0.09^9} = 27^3/9^9 = 3^9/3^18 = 1/3^9\)

Answer: Option A


Dear GMATINSIGHTS,
Can you please explain to me in detail how you eliminate the 10^-2? Thanks a LOT!
User avatar
B
hadimadi
Manager
Manager
Joined: 26 Oct 2021
Posts: 117
Own Kudos [?]: 27 [0]
Given Kudos: 95
Send PM
Re: Which of the following when expressed as a decimal has a finite number [#permalink] New post   03 Jan 2022, 04:23
Hi,

GMATinsight

(A) (0.27^3)/(0.09^3)=((27/100)^3)/((9/100)^3)=[((3^9)/(100^3))]/[((3^8)/(100^4))]=(100^3*3^9)/(100^4*3^8)=300, and not 3

Same for all other calculations
GMAT Club Bot
gmatclubot
Re: Which of the following when expressed as a decimal has a finite number [#permalink]
03 Jan 2022, 04:23
Moderators:
Bunuel
Math Expert
92990 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions