NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 11:42 It is currently 26 Apr 2024, 11:42
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

If a*b denotes the greatest common divisor of a and b, then

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
avatar
omkar05
Intern
Intern
Joined: 02 Sep 2014
Posts: 1
Own Kudos [?]: 5 [5]
Given Kudos: 0
Send PM
If a*b denotes the greatest common divisor of a and b, then [#permalink] New post   02 Dec 2014, 06:45
1
Kudos
4
Bookmarks
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

65% (01:07) correct 35% (01:33) wrong based on 159 sessions
Hide Show timer Statistics
If a*b denotes the greatest common divisor of a and b, then ((12*16)*(18*24)) = ?

(A) 24
(B) 12
(C) 6
(D) 4
(E) 2
ShowHide Answer
Official Answer
E
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92948
Own Kudos [?]: 619221 [3]
Given Kudos: 81609
Send PM
CAT Tests Forum Quiz Mode
Re: If a*b denotes the greatest common divisor of a and b, then [#permalink] New post   02 Dec 2014, 08:17
2
Kudos
1
Bookmarks
Expert Reply
omkar05 wrote:
If a*b denotes the greatest common divisor of a and b, then ((12*16)*(18*24)) = ?

(A) 24
(B) 12
(C) 6
(D) 4
(E) 2


The greatest common divisor of 12 and 16 is 4. Hence 12*16 = 4 (note that * here denotes the function not multiplication).
The greatest common divisor of 18 and 24 is 6. Hence 18*24 = 6.

Hence ((12*16)*(18*24)) = 4*6.

The greatest common divisor of 4 and 6 is 2.

Answer; E.
avatar
PareshGmat
SVP
SVP
Joined: 27 Dec 2012
Status:The Best Or Nothing
Posts: 1562
Own Kudos [?]: 7208 [0]
Given Kudos: 193
Location: India
Concentration: General Management, Technology
WE:Information Technology (Computer Software)
Send PM
Re: If a*b denotes the greatest common divisor of a and b, then [#permalink] New post   02 Dec 2014, 22:12
GCD of 12,16 = 4

GCD of 18,24 = 6

GCD of 4,6 = 2

((12*16)*(18*24)) = (4 * 6) = 2

Answer = E
User avatar
G
Temurkhon
Senior Manager
Senior Manager
Joined: 23 Jan 2013
Posts: 429
Own Kudos [?]: 263 [0]
Given Kudos: 43
Schools: Cambridge'16
If a*b denotes the greatest common divisor of a and b, then [#permalink] New post   02 Dec 2014, 23:19
12=2*2*3

16=2*2*2*2

18=2*3*3

24=2*2*2*3

Bolded 2 is GCD

E
User avatar
G
kapstone1996
Manager
Manager
Joined: 12 Apr 2017
Posts: 109
Own Kudos [?]: 58 [0]
Given Kudos: 33
Location: United States
Concentration: Finance, Operations
GPA: 3.1
Send PM
GMAT ToolKit User
Re: If a*b denotes the greatest common divisor of a and b, then [#permalink] New post   28 Nov 2018, 09:13
a*b = GCD of a*b = 2 Take each step at a time.

The question, what does ((12*16)*(18*24)) =

1) GCD of (12*16) = 4
2) GCD of (18*24) = 6

leaves 4*6 3) GCD of (4*6) = 2
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 32688
Own Kudos [?]: 822 [0]
Given Kudos: 0
Send PM
Re: If a*b denotes the greatest common divisor of a and b, then [#permalink] New post   08 Oct 2021, 05:36
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 Club Bot
gmatclubot
Re: If a*b denotes the greatest common divisor of a and b, then [#permalink]
08 Oct 2021, 05:36
Moderators:
Bunuel
Math Expert
92947 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