Last visit was: 19 Nov 2025, 13:44 It is currently 19 Nov 2025, 13:44
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
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 19 Nov 2025
Posts: 105,390
Own Kudos:
778,351
 [8]
Given Kudos: 99,977
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 105,390
Kudos: 778,351
 [8]
Kudos
Add Kudos
8
Bookmarks
Bookmark this Post
User avatar
Kinshook
User avatar
Major Poster
Joined: 03 Jun 2019
Last visit: 19 Nov 2025
Posts: 5,794
Own Kudos:
5,511
 [1]
Given Kudos: 161
Location: India
GMAT 1: 690 Q50 V34
WE:Engineering (Transportation)
Products:
GMAT 1: 690 Q50 V34
Posts: 5,794
Kudos: 5,511
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 19 Nov 2025
Posts: 8,422
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,422
Kudos: 4,982
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 19 Nov 2025
Posts: 6,839
Own Kudos:
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,839
Kudos: 16,354
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
Is w an integer?

(1) 3w is an odd number.
(2) 2w is an even number.

Is w a whole number?

1) 3w is an odd number.
2) 2w is an even number.

Queestion: Is w an integer?

Statement 1: 3w is an odd number.

w may be 1 (an Integer) or 1/3 (a Non-Integer) hence

NOT SUFFICIENT

Statement 2: 2w is an Even number.

i.e. 2w = even

i.e. w = even/2 = Odd integer (an Integer) hence

SUFFICIENT

Answer: Option B
User avatar
Archit3110
User avatar
Major Poster
Joined: 18 Aug 2017
Last visit: 19 Nov 2025
Posts: 8,422
Own Kudos:
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GMAT Focus 2: 645 Q83 V82 DI81
GPA: 4
WE:Marketing (Energy)
GMAT Focus 2: 645 Q83 V82 DI81
Posts: 8,422
Kudos: 4,982
Kudos
Add Kudos
Bookmarks
Bookmark this Post
GMATinsight
sir , for #2 why aren't we considering that w can be √w ? value of √w will be +ve number( rational / irrational) and when √w multiplied by 2 will give an even number ( rational or irrational)...
had it been given in #2 that 2w is an even integer then w would have to be an integer value ?



GMATinsight
Bunuel
Is w an integer?

(1) 3w is an odd number.
(2) 2w is an even number.

Is w a whole number?

1) 3w is an odd number.
2) 2w is an even number.

Queestion: Is w an integer?

Statement 1: 3w is an odd number.

w may be 1 (an Integer) or 1/3 (a Non-Integer) hence

NOT SUFFICIENT

Statement 2: 2w is an Even number.

i.e. 2w = even

i.e. w = even/2 = Odd integer (an Integer) hence

SUFFICIENT

Answer: Option B
User avatar
GMATinsight
User avatar
Major Poster
Joined: 08 Jul 2010
Last visit: 19 Nov 2025
Posts: 6,839
Own Kudos:
Given Kudos: 128
Status:GMAT/GRE Tutor l Admission Consultant l On-Demand Course creator
Location: India
GMAT: QUANT+DI EXPERT
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
WE:Education (Education)
Products:
Expert
Expert reply
Schools: IIM (A) ISB '24
GMAT 1: 750 Q51 V41
Posts: 6,839
Kudos: 16,354
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Archit3110
GMATinsight
sir , for #2 why aren't we considering that w can be √w ? value of √w will be +ve number( rational / irrational) and when √w multiplied by 2 will give an even number ( rational or irrational)...
had it been given in #2 that 2w is an even integer then w would have to be an integer value ?



GMATinsight
Bunuel
Is w an integer?

(1) 3w is an odd number.
(2) 2w is an even number.

Is w a whole number?

1) 3w is an odd number.
2) 2w is an even number.

Queestion: Is w an integer?

Statement 1: 3w is an odd number.

w may be 1 (an Integer) or 1/3 (a Non-Integer) hence

NOT SUFFICIENT

Statement 2: 2w is an Even number.

i.e. 2w = even

i.e. w = even/2 = Odd integer (an Integer) hence

SUFFICIENT

Answer: Option B

Archit3110

We are considering all possible values of w (Rational and irrational) but can you suggest one value of w which is not Integer yet, 2w is even integer???

You selection of values in statement 2 is not apt. check your examples in your solution

e.g. for w = √5, 2w = 2√5 which is not even Integer so w=√5 is not an acceptable value of w. For any acceptable value of w, 2w must be even integer and then we will examine whether w is an integer or not.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 38,587
Own Kudos:
Posts: 38,587
Kudos: 1,079
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.
Moderators:
Math Expert
105390 posts
496 posts