It is currently 15 Dec 2017, 10:12

Decision(s) Day!:

CHAT Rooms | Olin (St. Louis) R1 | Tuck R1 | Ross R1 | Fuqua R1


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

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

If a and b are positive integers, what is the greatest common factor o

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

Hide Tags

Manager
Manager
avatar
S
Joined: 02 Jun 2015
Posts: 190

Kudos [?]: 319 [0], given: 403

Location: Ghana
Premium Member
If a and b are positive integers, what is the greatest common factor o [#permalink]

Show Tags

New post 07 Sep 2016, 09:19
1
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  45% (medium)

Question Stats:

65% (01:09) correct 35% (01:03) wrong based on 79 sessions

HideShow timer Statistics

If a and b are positive integers, what is the greatest common factor of a and b?

(1) The greatest common factor of half of a and half of b is 7.
(2) a is 14 and b is an even multiple of 21
[Reveal] Spoiler: OA

_________________

Kindly press kudos if you find my post helpful

Kudos [?]: 319 [0], given: 403

1 KUDOS received
Board of Directors
User avatar
D
Status: Aiming MBA
Joined: 18 Jul 2015
Posts: 2865

Kudos [?]: 972 [1], given: 71

Location: India
Concentration: Healthcare, Technology
GPA: 3.65
WE: Information Technology (Health Care)
Premium Member Reviews Badge
Re: If a and b are positive integers, what is the greatest common factor o [#permalink]

Show Tags

New post 07 Sep 2016, 09:49
1
This post received
KUDOS
duahsolo wrote:
If a and b are positive integers, what is the greatest common factor of a and b?

(1) The greatest common factor of half of a and half of b is 7.
(2) a is 14 and b is an even multiple of 21


(1) The greatest common factor of half of a and half of b is 7. ==> a = 2*7 *something and b =2*7*something else

or, HCF (a,b) =14. -- Sufficient.

(2) a is 14 and b is an even multiple of 21 ==> b is even multiple of 21 means b has both 2 and 7 in it. Hence, HCF = 14. -- Sufficient.

Answer D.
_________________

How I improved from V21 to V40! ?

Kudos [?]: 972 [1], given: 71

Manager
Manager
avatar
B
Status: To infinity and beyond
Joined: 26 Sep 2017
Posts: 78

Kudos [?]: 17 [0], given: 5

Location: India
Concentration: Finance, Technology
GMAT 1: 660 Q50 V30
GPA: 3.31
WE: Engineering (Computer Software)
Reviews Badge CAT Tests
Re: If a and b are positive integers, what is the greatest common factor o [#permalink]

Show Tags

New post 05 Oct 2017, 19:29
(1) The greatest common factor of half of a and half of b is 7. ==> x = 2*7 *something and y =2*7*k
HCF (a,b) =14. -- Sufficient.

(2) a is 14 and b is an even multiple of 21 ==> b is even multiple of 21 means b has both 2 and 7 in it. Sufficient.

D it is.

Kudos [?]: 17 [0], given: 5

Re: If a and b are positive integers, what is the greatest common factor o   [#permalink] 05 Oct 2017, 19:29
Display posts from previous: Sort by

If a and b are positive integers, what is the greatest common factor o

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


GMAT Club MBA Forum Home| About| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

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

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.