NEW HERE? LEARN MORE
closeclose
It is currently 16 Apr 2024, 08:57
Register
GMAT Focus Tests
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 has a decimal equivalent that is a terminating

8 posts Go to First Unread Post
Print view
NEW TOPIC
POST REPLY
Question banks

GMAT Question Banks

Downloads
My Bookmarks
Reviews
SORT BY:
Date
Kudos
User avatar
G
UB001
Manager
Manager
Joined: 26 Dec 2018
Posts: 111
Location: India
Schools: Mannheim"20 Smurfit "20 NUS '21 NTU '20
Which of the following has a decimal equivalent that is a terminating [#permalink] New post  31 Dec 2018, 01:25
1
Kudos
7
Bookmarks
00:00
A
B
C
D
E

Difficulty:

45% (medium)

Question Stats:

54% (01:16) correct 46% (01:21) wrong based on 167 sessions
Hide Show timer Statistics
Which of the following has a decimal equivalent that is a terminating decimal?

I. 1/128
II. 1/225
III. 1/384

A. I only
B. II only
C. I and II
D. I and III
E. I, II and III
ShowHide Answer
Official Answer
Official Answer and Stats are available only to registered users. Register/Login.

_________________
GOOD LUCK!
Signature Read More
User avatar
L
DisciplinedPrep
VP
VP
Joined: 15 Jan 2018
Posts: 1345
Concentration: Marketing, Leadership
Re: Which of the following has a decimal equivalent that is a terminating [#permalink] New post  31 Dec 2018, 01:37
1
Kudos
1
Bookmarks
For a fraction to have a decimal equivalent that is a terminating decimal, the denominator of the fraction must be power(s) of 2, or of 5, or of both 2 & 5.

I. 1/128
1/128 = 1/(2^7). Hence, this fraction will have a decimal equivalent that is a terminating decimal

II. 1/225
1/225 = 1/(5^2 x 3^2). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.

III. 1/384
1/384 = 1/(2^7 x 3). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.

Therefore, the Correct Answer is Option A. I only
User avatar
G
jfranciscocuencag
Manager
Manager
Joined: 12 Sep 2017
Posts: 239
Re: Which of the following has a decimal equivalent that is a terminating [#permalink] New post  31 Dec 2018, 10:08
DisciplinedPrep wrote:
For a fraction to have a decimal equivalent that is a terminating decimal, the denominator of the fraction must be power(s) of 2, or of 5, or of both 2 & 5.

I. 1/128
1/128 = 1/(2^7). Hence, this fraction will have a decimal equivalent that is a terminating decimal

II. 1/225
1/225 = 1/(5^2 x 3^2). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.

III. 1/384
1/384 = 1/(2^7 x 3). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.

Therefore, the Correct Answer is Option A. I only


Hello!

Thanks for the explanation, I just have one question related to the wording:

"For a fraction to have a decimal equivalent that is a terminating decimal, the denominator of the fraction must be power(s) of 2, or of 5, or of both 2 & 5."

Is it JUST powers of 2 and 5? Because all the factions above have powers of either 2 or 5.

Thank you!
User avatar
G
UB001
Manager
Manager
Joined: 26 Dec 2018
Posts: 111
Location: India
Schools: Mannheim"20 Smurfit "20 NUS '21 NTU '20
Re: Which of the following has a decimal equivalent that is a terminating [#permalink] New post  31 Dec 2018, 21:42
1
Kudos
jfranciscocuencag wrote:
DisciplinedPrep wrote:
For a fraction to have a decimal equivalent that is a terminating decimal, the denominator of the fraction must be power(s) of 2, or of 5, or of both 2 & 5.

I. 1/128
1/128 = 1/(2^7). Hence, this fraction will have a decimal equivalent that is a terminating decimal

II. 1/225
1/225 = 1/(5^2 x 3^2). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.

III. 1/384
1/384 = 1/(2^7 x 3). Hence, this fraction will have a decimal equivalent that is NOT a terminating decimal.

Therefore, the Correct Answer is Option A. I only


Hello!

Thanks for the explanation, I just have one question related to the wording:

"For a fraction to have a decimal equivalent that is a terminating decimal, the denominator of the fraction must be power(s) of 2, or of 5, or of both 2 & 5."

Is it JUST powers of 2 and 5? Because all the factions above have powers of either 2 or 5.

Thank you!


Hi,
A fraction can be terminating if it has powers of 2 or 5 or both in the denominator.
For eg. 1/2 = 0.5; 1/5 = 0.2; 1/10 = 0.1.
See the wording in the question can be understood easily by above examples.

On the other hand when the denominator is other than 2 or 5 or 2&5 then the fraction is not terminating
for eg. 1/3 =0.3333333....
_________________
GOOD LUCK!
Signature Read More
User avatar
L
EgmatQuantExpert
e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3726
Which of the following has a decimal equivalent that is a terminating [#permalink] New post  02 Jan 2019, 04:25
Expert Reply

Solution


To find:
    • Which of the given options has a decimal equivalent that is terminating decimal?

Approach and Working:
We know that if denominator contains either 2 or 4 or 5 or 8 or combination of these then the fraction will be a terminating decimal
    I. \(128 = 2^7\) – Thus, \(\frac{1}{128}\) is a terminating decimal
    II. \(225 = 3^2 * 5^2\) – Thus, \(\frac{1}{225}\) is not a terminating decimal
    III. \(384 = 2^7 * 3\) – Thus, \(\frac{1}{384}\) is not a terminating decimal

Hence, the correct answer is Option A

Answer: A


_________________
Free Trial: Get 25 AI powered videos | 400 practice questions | 8 free webinars

Case studies: How a personalized study plan can save you 60+ hours

MBA admits: M7 admits | INSEAD admits | ISB admits [40+ case studies]


Learn why e-GMAT has 10X more 700+ verified scores than other GMATClub partners – Read our 2000+ reviews
Signature Read More
avatar
B
sakshamjinsi
Intern
Intern
Joined: 05 Aug 2018
Posts: 9
GMAT 1: 650 Q46 V34
Re: Which of the following has a decimal equivalent that is a terminating [#permalink] New post  02 Jan 2019, 04:31
UB001 wrote:
Which of the following has a decimal equivalent that is a terminating decimal?

I. 1/128
II. 1/225
III. 1/384

A. I only
B. II only
C. I and II
D. I and III
E. I, II and III



Since the numerator of all the 3 numbers are 1. We can check only for denominators.

128 - 2^7 ---> Only 2's. Hence Terminating Decimal
225 - 3*3*5*5 --> Non-Terminating Decimal
384 - 2^7 * 3 ---> Non-Terminating Decimal
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11109
Reviews Badge
Re: Which of the following has a decimal equivalent that is a terminating [#permalink] New post  12 Jan 2019, 01:30
Expert Reply
UB001 wrote:
Which of the following has a decimal equivalent that is a terminating decimal?

I. 1/128
II. 1/225
III. 1/384

A. I only
B. II only
C. I and II
D. I and III
E. I, II and III



Terminating decimal means the denominator is of the form \(2^a*5^b\), where a and b can be any NON-NEGATIVE integer

let us therefore, concentrate only on denominators..
I. 1/128.... denominator is 128 => \(128=2^7\)...YES
II. 1/225.... denominator is 225 => \(225=5^2*7\)...NO
III. 1/384.... denominator is 384 => 384 is a multiple of 3 as 3+8+4=12 and 12 is a multiple of 3...NO

Only I,

A
_________________
1. Absolute modulus:. 2. Fractions: 3. Percentage increase: 4. Combinations:
Signature Read More
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32497
Re: Which of the following has a decimal equivalent that is a terminating [#permalink] New post  20 Mar 2023, 05:20
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
Signature Read More
GMAT Club Bot
gmatclubot
Re: Which of the following has a decimal equivalent that is a terminating [#permalink]
20 Mar 2023, 05:20
NEW TOPIC
POST REPLY
Downloads
My Bookmarks
Reviews
Moderators:
Bunuel
Math Expert
92701 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

cron

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