Last visit was: 08 Jul 2025, 10:36 It is currently 08 Jul 2025, 10:36
Home
GMAT
Messages
Tests
Schools
Events
Rewards
Chat
My Profile
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
Back to Forum
Create Topic
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 8 July 2025
Posts: 102,593
Own Kudos:
739,478
 [3]
Given Kudos: 97,451
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 102,593
Kudos: 739,478
 [3]
If w and k are distinct positive integers, do they have any common div 08 Jan 2017, 08:11
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

65% (hard)

Question Stats:

50% (01:28) correct 50% (01:08) wrong based on 145 sessions

History

Date
Time
Result
Not Attempted Yet
If w and k are distinct positive integers, do they have any common divisors other than 1 ?

(1) k – w = 3w
(2) k and w are even.
ShowHide Answer
Official Answer
B
Most Helpful Reply
User avatar
AR15J
User avatar
Joined: 21 Aug 2016
Last visit: 15 May 2024
Posts: 215
Own Kudos:
158
 [8]
Given Kudos: 145
Location: India
GPA: 3.9
WE:Information Technology (Computer Software)
Products:
My Reviews
Posts: 215
Kudos: 158
 [8]
If w and k are distinct positive integers, do they have any common div 08 Jan 2017, 14:46
7
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
vitaliyGMAT
Bunuel
If w and k are distinct positive integers, do they have any common divisors other than 1 ?

(1) k – w = 3w
(2) k and w are even.

(1) k = 4w k is a multiple of w. Sufficient.
(2) k=2x, w=2y. Both of them have at least one 2 as a factor. Sufficient.

Answer D


1) K=4W
If w and k are distinct positive integers, in this case, w must be the common divisor of K and W, but what if the value of w is 1?

if w=1, k=4, there is no other common divisor of W and K other than 1

for other cases, there will always be w as a common divisor for K and w where w>1

Not sufficient


2) 2 will always be a common divisor for K and W, so sufficient


So, answer should be B. Correct me if I am wrong.

+1 Kudos if you like the post :)
General Discussion
User avatar
vitaliyGMAT
User avatar
Joined: 13 Oct 2016
Last visit: 26 Jul 2017
Posts: 297
Own Kudos:
843
Given Kudos: 40
GPA: 3.98
Posts: 297
Kudos: 843
If w and k are distinct positive integers, do they have any common div 08 Jan 2017, 09:58
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
If w and k are distinct positive integers, do they have any common divisors other than 1 ?

(1) k – w = 3w
(2) k and w are even.

(1) k = 4w k is a multiple of w. Sufficient.
(2) k=2x, w=2y. Both of them have at least one 2 as a factor. Sufficient.

Answer D
User avatar
vitaliyGMAT
User avatar
Joined: 13 Oct 2016
Last visit: 26 Jul 2017
Posts: 297
Own Kudos:
843
 [1]
Given Kudos: 40
GPA: 3.98
Posts: 297
Kudos: 843
 [1]
If w and k are distinct positive integers, do they have any common div 08 Jan 2017, 23:50
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
AR15J
vitaliyGMAT
Bunuel
If w and k are distinct positive integers, do they have any common divisors other than 1 ?

(1) k – w = 3w
(2) k and w are even.

(1) k = 4w k is a multiple of w. Sufficient.
(2) k=2x, w=2y. Both of them have at least one 2 as a factor. Sufficient.

Answer D


1) K=4W
If w and k are distinct positive integers, in this case, w must be the common divisor of K and W, but what if the value of w is 1?

if w=1, k=4, there is no other common divisor of W and K other than 1

for other cases, there will always be w as a common divisor for K and w where w>1

Not sufficient


2) 2 will always be a common divisor for K and W, so sufficient


So, answer should be B. Correct me if I am wrong.

+1 Kudos if you like the post :)

Yep, I missed 1 as a valid option for w.
avatar
Ritz1605
avatar
Joined: 20 Jan 2018
Last visit: 02 Jan 2021
Posts: 11
Own Kudos:
6
Given Kudos: 58
Location: India
Schools: ISB '20 (A)
GMAT 1: 620 Q50 V24
GMAT 2: 710 Q51 V34
GPA: 3.9
Products:
My Reviews
Schools: ISB '20 (A)
GMAT 2: 710 Q51 V34
Posts: 11
Kudos: 6
If w and k are distinct positive integers, do they have any common div 17 Apr 2018, 09:19
Kudos
Add Kudos
Bookmarks
Bookmark this Post
AR15J
vitaliyGMAT
Bunuel
If w and k are distinct positive integers, do they have any common divisors other than 1 ?

(1) k – w = 3w
(2) k and w are even.

(1) k = 4w k is a multiple of w. Sufficient.
(2) k=2x, w=2y. Both of them have at least one 2 as a factor. Sufficient.

Answer D


1) K=4W
If w and k are distinct positive integers, in this case, w must be the common divisor of K and W, but what if the value of w is 1?

if w=1, k=4, there is no other common divisor of W and K other than 1

for other cases, there will always be w as a common divisor for K and w where w>1

Not sufficient


2) 2 will always be a common divisor for K and W, so sufficient


So, answer should be B. Correct me if I am wrong.

+1 Kudos if you like the post :)

But it should be D, since he has asked for any divisor other than one, nothing specific.
User avatar
amanvermagmat
User avatar
Retired Moderator
Joined: 22 Aug 2013
Last visit: 28 Mar 2025
Posts: 1,161
Own Kudos:
2,741
Given Kudos: 480
Location: India
Posts: 1,161
Kudos: 2,741
If w and k are distinct positive integers, do they have any common div 18 Apr 2018, 05:32
Kudos
Add Kudos
Bookmarks
Bookmark this Post
[/quote]

But it should be D, since he has asked for any divisor other than one, nothing specific.[/quote]

Hello

The question asks whether w and k have any divisor other than 1 or not. So we need to answer this question with a clear cut YES or a clear cut NO. If a statement gives us a sureshot YES or a sureshot NO answer to this question then that statement will be sufficient to answer this question, else not.

In Statement 1, if w=1, then k=4. In this case there is no other common divisor than 1. But if w=2, then k=8, and there is a common divisor of 2 also. So this statement is NOT sufficient to answer the question asked (since there are different answers of YES or NO for different cases).
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 37,347
Own Kudos:
1,008
Posts: 37,347
Kudos: 1,008
If w and k are distinct positive integers, do they have any common div 10 Jan 2024, 00:33
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Bunuel
Math Expert
102593 posts