Last visit was: 21 Apr 2026, 01:55 It is currently 21 Apr 2026, 01:55
Home
Messages
Tests
Schools
Events
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: 21 Apr 2026
Posts: 109,715
Own Kudos:
810,339
 [3]
Given Kudos: 105,795
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: 109,715
Kudos: 810,339
 [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:

51% (01:29) correct 49% (01:08) wrong based on 154 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: 210
Own Kudos:
163
 [8]
Given Kudos: 145
Location: India
GPA: 3.9
WE:Information Technology (Computer Software)
Products:
My Reviews
Posts: 210
Kudos: 163
 [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
Show more


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:
895
Given Kudos: 40
GPA: 3.98
Posts: 297
Kudos: 895
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.
Show more

(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:
895
 [1]
Given Kudos: 40
GPA: 3.98
Posts: 297
Kudos: 895
 [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 :)
Show more

Yep, I missed 1 as a valid option for w.
avatar
Ritz1605
avatar
Joined: 20 Jan 2018
Last visit: 02 Jan 2021
Posts: 10
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: 10
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 :)
Show more

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: 1,142
Own Kudos:
2,972
Given Kudos: 480
Location: India
Posts: 1,142
Kudos: 2,972
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: 38,942
Own Kudos:
1,116
Posts: 38,942
Kudos: 1,116
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
Automated notice from GMAT Club BumpBot:

A member just gave Kudos to this thread, showing it’s still useful. I’ve bumped it to the top so more people can benefit. Feel free to add your own questions or solutions.

This post was generated automatically.
Moderators:
Bunuel
Math Expert
109715 posts
kingbucky
498 posts
Gmat860sanskar
210 posts