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

 It is currently 14 Oct 2019, 21:34

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

Which of the following fractions has a decimal equivalent that termina

Author Message
TAGS:

Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58325
Which of the following fractions has a decimal equivalent that termina  [#permalink]

Show Tags

05 Mar 2019, 04:31
00:00

Difficulty:

55% (hard)

Question Stats:

45% (01:47) correct 55% (01:22) wrong based on 29 sessions

HideShow timer Statistics

Which of the following fractions has a decimal equivalent that terminates?

A. 49/224

B. 22/189

C. 37/196

D. 25/513

E. 17/175

_________________
CEO
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2974
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Which of the following fractions has a decimal equivalent that termina  [#permalink]

Show Tags

05 Mar 2019, 04:43
Bunuel wrote:
Which of the following fractions has a decimal equivalent that terminates?

A. 49/224

B. 22/189

C. 37/196

D. 25/513

E. 17/175

CONCEPT: A fraction always results in a terminating decimals if the prime factors of the denominator are none other than 2 and 5

In case the denominator (in least form of fraction) has any prime factor other than 2 and 5 then the fraction results in a NON terminating decimal

A. $$49/224 = 49/(56*4) = 49/(2^5*7) = 7/2^5$$ Since denominator has no prime factor other than prime factors 2 and 5 (in least form) hence it's a terminating decimal

B. $$22/189 = 22/9*21 = 22/(3^3*7)$$ Since denominator has prime factor 3 and 7 which are other than prime factors 2 and 5 (in least form) hence it's NOT a terminating decimal

C. $$37/196 = 37/14^2$$ Since denominator has prime factor 7 which is other than prime factors 2 and 5 (in least form) hence it's NOT a terminating decimal

D. 25/513 Since denominator has prime factor 3 which is other than prime factors 2 and 5 (in least form) hence it's NOT a terminating decimal

E. 17/175 Since denominator has prime factor 7 which is other than prime factors 2 and 5 (in least form) hence it's NOT a terminating decimal

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4987
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Which of the following fractions has a decimal equivalent that termina  [#permalink]

Show Tags

05 Mar 2019, 11:13
Bunuel wrote:
Which of the following fractions has a decimal equivalent that terminates?

A. 49/224

B. 22/189

C. 37/196

D. 25/513

E. 17/175

a ratio of x/y will be terminating when its least form the dr has no prime factors other than 2 or 5

in this case only option A
49/224 = 7/32 = 7/2^5 ; sufficies the condition
IMO A
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Re: Which of the following fractions has a decimal equivalent that termina   [#permalink] 05 Mar 2019, 11:13
Display posts from previous: Sort by