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

It is currently 13 Nov 2019, 23:26

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

Which of the following fractions will terminate when express

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

Hide Tags

Find Similar Topics 
Manager
Manager
User avatar
Joined: 28 Apr 2013
Posts: 118
Location: India
GPA: 4
WE: Medicine and Health (Health Care)
Which of the following fractions will terminate when express  [#permalink]

Show Tags

New post 25 Jan 2014, 19:03
5
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

80% (01:01) correct 20% (01:18) wrong based on 256 sessions

HideShow timer Statistics

Which of the following fractions will terminate when expressed as a decimal?

(A) 1/259

(B) 27/101

(C) 100/27

(D) 231/660

(E) 1/11

_________________
Thanks for Posting

LEARN TO ANALYSE

+1 kudos if you like
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 59020
Which of the following fractions will terminate when express  [#permalink]

Show Tags

New post 26 Jan 2014, 03:58
2
3
rango wrote:
Which of the following fractions will terminate when expressed as a decimal?

(A) 1/259

(B) 27/101

(C) 100/27

(D) 231/660

(E) 1/11


THEORY:
Reduced fraction \(\frac{a}{b}\) (meaning that fraction is already reduced to its lowest term) can be expressed as terminating decimal if and only \(b\) (denominator) is of the form \(2^n5^m\), where \(m\) and \(n\) are non-negative integers. For example: \(\frac{7}{250}\) is a terminating decimal \(0.028\), as \(250\) (denominator) equals to \(2*5^3\). Fraction \(\frac{3}{30}\) is also a terminating decimal, as \(\frac{3}{30}=\frac{1}{10}\) and denominator \(10=2*5\).

Note that if denominator already has only 2-s and/or 5-s then it doesn't matter whether the fraction is reduced or not.

For example \(\frac{x}{2^n5^m}\), (where x, n and m are integers) will always be the terminating decimal.

We need reducing in case when we have the prime in denominator other then 2 or 5 to see whether it could be reduced. For example fraction \(\frac{6}{15}\) has 3 as prime in denominator and we need to know if it can be reduced.

BACK TO THE QUESTION:

If you check each option you get that only 231/660 will terminate: 231/660 = 7/20 = 7/(2^2*5).

Answer: D.

Questions testing this concept:
does-the-decimal-equivalent-of-p-q-where-p-and-q-are-89566.html
any-decimal-that-has-only-a-finite-number-of-nonzero-digits-101964.html
if-a-b-c-d-and-e-are-integers-and-p-2-a3-b-and-q-2-c3-d5-e-is-p-q-a-terminating-decimal-125789.html
700-question-94641.html
is-r-s2-is-a-terminating-decimal-91360.html
pl-explain-89566.html
which-of-the-following-fractions-88937.html

Hope it helps.
_________________
General Discussion
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1731
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: Which of the following fractions will terminate when express  [#permalink]

Show Tags

New post 07 Aug 2014, 02:06
\(\frac{231}{660} = \frac{21}{60} = \frac{7}{20} = \frac{35}{100} = 0.35\)

No other option can be simplified further to bring \(10^n\) in the denominator

Answer = D
_________________
Kindly press "+1 Kudos" to appreciate :)
Target Test Prep Representative
User avatar
V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8372
Location: United States (CA)
Re: Which of the following fractions will terminate when express  [#permalink]

Show Tags

New post 07 Sep 2018, 17:25
rango wrote:
Which of the following fractions will terminate when expressed as a decimal?

(A) 1/259

(B) 27/101

(C) 100/27

(D) 231/660

(E) 1/11


A fraction will convert to a terminating decimal when the denominator of the simplified fraction contains only 5’s, only 2’s, or both 5’s and 2’s.

Since 231/660 = 77/220 = 7/20, and the denominator 20 = 2^2 x 5, we see that 231/660 will terminate.

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

GMAT Club Bot
Re: Which of the following fractions will terminate when express   [#permalink] 07 Sep 2018, 17:25
Display posts from previous: Sort by

Which of the following fractions will terminate when express

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





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