Last visit was: 22 Nov 2024, 06:35 It is currently 22 Nov 2024, 06:35
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep 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 GRE 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
PREVIOUS TOPIC
NEXT TOPIC

If x and y are positive integers, and 1 is the gre

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

avatar
S
COolguy101
Senior Manager
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Own Kudos [?]: 170 [3]
Given Kudos: 81
Concentration: , International Business
Send PM
If x and y are positive integers, and 1 is the gre [#permalink] New post   26 Jun 2021, 03:39
1
2
Bookmarks
00:00

Question Stats:

33% (00:55) correct 66% (00:41) wrong based on 24 sessions

Hide Show timer Statistics

If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor of 2x and 3y?

A. 1

B. 2

C. 5

D. 6

E. Cannot be determined
ShowHide Answer
Official Answer
E
avatar
B
sagortm
Intern
Intern
Joined: 20 Jun 2021
Posts: 18
Own Kudos [?]: 12 [0]
Given Kudos: 20
Send PM
If x and y are positive integers, and 1 is the gre [#permalink] New post   26 Jun 2021, 17:29
Answer will be E

Posted from my mobile device
avatar
S
COolguy101
Senior Manager
Senior Manager
Joined: 23 Jan 2021
Posts: 294
Own Kudos [?]: 170 [0]
Given Kudos: 81
Concentration: , International Business
Send PM
Re: If x and y are positive integers, and 1 is the gre [#permalink] New post   26 Jun 2021, 18:36
sagortm wrote:
Answer will be E

Posted from my mobile device




Hi, Instead posting answer choice only, please post a detailed solution. This will help the forum!
avatar
B
sagortm
Intern
Intern
Joined: 20 Jun 2021
Posts: 18
Own Kudos [?]: 12 [3]
Given Kudos: 20
Send PM
Re: If x and y are positive integers, and 1 is the gre [#permalink] New post   26 Jun 2021, 23:02
3
kumarneupane4344 wrote:
sagortm wrote:
Answer will be E

Posted from my mobile device




Hi, Instead posting answer choice only, please post a detailed solution. This will help the forum!


Sure....
Explanation:
As x & y are the co-prime.

Case 01: x = 1 and y = 1.
Here, 2(x) = 2, and 3(y) = 3
So, the greatest common divisor(GCD)=1

Case 02: x = 1 and y = 2.
Here, 2x = 2, and 3y = 6
So, the GCD=2

Case 03: x = 3 and y = 2.
Here, 2x = 6, and 3y = 6
So, the GCD=6

Case 04: x = 3 and y = 4.
Here, 2x = 6, and 3y = 12
So, the GCD=6

That means GCD is different with different value of x & y.

So the Answer is not fixed; that means "Can not be determined: E"
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12196 [0]
Given Kudos: 136
Send PM

Top Member of the Month
If x and y are positive integers, and 1 is the gre [#permalink] New post   30 Oct 2021, 08:43
COolguy101 wrote:
If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor of 2x and 3y?

A. 1
B. 2
C. 5
D. 6
E. Cannot be determined


Let's test some pairs of values....

case i: x = 1 and y = 1 have a greatest common divisor of 1
Here, 2x = 2(1) = 2, and 3y = 3(1) = 3
So, the greatest common divisor of 2x (2) and 3y (3) is 1

case ii: x = 1 and y = 2 have a greatest common divisor of 1
Here, 2x = 2(1) = 2, and 3y = 3(2) = 6
So, the greatest common divisor of 2x (2) and 3y (6) is 2

Answer: E
avatar
B
dannythor6911
Intern
Intern
Joined: 21 Jan 2021
Posts: 23
Own Kudos [?]: 6 [0]
Given Kudos: 0
Send PM
Re: If x and y are positive integers, and 1 is the gre [#permalink] New post   03 Jun 2024, 06:28
You can play around with giving y a 3 or x a 2 in order to get different combinations of shared factors for 2x and 3y, so we don't know:

Prep Club for GRE Bot
gmatclubot
Re: If x and y are positive integers, and 1 is the gre [#permalink]
03 Jun 2024, 06:28
Moderators:
adewale223
GRE Instructor
84 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1111 posts
VibhuAnurag
GRE Instructor
234 posts

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

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact