GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 10 Dec 2018, 16:52

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

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

Events & Promotions

Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• Free lesson on number properties

December 10, 2018

December 10, 2018

10:00 PM PST

11:00 PM PST

Practice the one most important Quant section - Integer properties, and rapidly improve your skills.
• Free GMAT Prep Hour

December 11, 2018

December 11, 2018

09:00 PM EST

10:00 PM EST

Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.

If w, x and y are different positive integers, and wxy = 24,

Author Message
TAGS:

Hide Tags

Senior Manager
Status: Do and Die!!
Joined: 15 Sep 2010
Posts: 268
If w, x and y are different positive integers, and wxy = 24,  [#permalink]

Show Tags

Updated on: 31 Aug 2017, 05:51
4
00:00

Difficulty:

75% (hard)

Question Stats:

51% (02:37) correct 49% (01:51) wrong based on 99 sessions

HideShow timer Statistics

If w, x and y are different positive integers, and wxy = 24, is xy divisible by 6?

(1) wy is not divisible by 6.

(2) x is even.

Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

Each statement ALONE is sufficient to answer the question.

Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

_________________

I'm the Dumbest of All !!

Originally posted by shrive555 on 04 Oct 2010, 10:51.
Last edited by abhimahna on 31 Aug 2017, 05:51, edited 1 time in total.
Edited the question
Math Expert
Joined: 02 Sep 2009
Posts: 51072
If w, x and y are different positive integers, and wxy = 24,  [#permalink]

Show Tags

04 Oct 2010, 11:04
1
If w, x and y are different positive integers, and wxy = 24, is xy divisible by 6?

(1) wy is not divisible by 6 --> if $$w=3$$ and $$y=1$$ then $$x=8$$ and $$xy=8$$ so not divisible by 6 but if $$w=1$$ and $$y=3$$ then $$x=8$$ and $$xy=24$$ so divisible by 6. Two different answers. Not sufficient.

(2) x is even --> clearly insufficient.

(1)+(2) Example from (1) is still valid. Not sufficient.

_________________
Retired Moderator
Joined: 02 Sep 2010
Posts: 766
Location: London
Re: If w, x and y are different positive integers, and wxy = 24,  [#permalink]

Show Tags

04 Oct 2010, 11:57
shrive555 wrote:
If w, x and y are different positive integers, and wxy = 24, is xy divisible by 6?

(1) wy is not divisible by 6.

(2) x is even.

Statement 1 ALONE is sufficient to answer the question, but statement 2 alone is NOT sufficient.

Statement 2 ALONE is sufficient to answer the question, but statement 1 alone is NOT sufficient.

BOTH statements 1 and 2 TOGETHER are sufficient to answer the question, but NEITHER statement ALONE is sufficient.

Each statement ALONE is sufficient to answer the question.

Statement 1 and 2 TOGETHER are NOT sufficient to answer the question.

(1) Let w=1, y=2, x=12 xy divisible by 6
Let w=3, y=1, x=8 xy not divisible by 6
Insufficient

(2)In both cases above x is even. Not sufficient

(1+2) : Again two examples above work

_________________
EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 13057
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: If w, x and y are different positive integers, and wxy = 24,  [#permalink]

Show Tags

09 Dec 2017, 16:29
1
1
Hi All,

Certain Quant questions include 'restrictions' that limit the number of possible outcomes. In those situations, it can often be useful to list out all of the possibilities BEFORE you actually approach the rest of the prompt.

Here, we're told that W, X and Y are DIFFERENT positive integers and that (W)(X)(Y) = 24. Based on this information, these are the only possibilities:
1, 2 and 12
1, 3 and 8
1, 4 and 6
2, 2, and 6
2, 3 and 4

We're asked if (X)(Y) is divisible by 6. This is a YES/NO question.

1) (W)(Y) is NOT divisible by 6...

IF... W=1, Y=4, X=6 then the answer to the question is YES.
IF... W=3, Y=1, X=8 then the answer to the question is NO.
Fact 1 is INSUFFICIENT

2) X is EVEN.

We can use the same 'TESTs' from Fact 1 in Fact 2....
IF... W=1, Y=4, X=6 then the answer to the question is YES.
IF... W=3, Y=1, X=8 then the answer to the question is NO.
Fact 2 is INSUFFICIENT

Combined, we already have to different examples that 'fit' BOTH Facts and provide two different results (a "YES" and a "NO"), so there's no more work needed.
Combined, INSUFFICIENT

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

*****Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!*****

Re: If w, x and y are different positive integers, and wxy = 24, &nbs [#permalink] 09 Dec 2017, 16:29
Display posts from previous: Sort by