Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 06 May 2015, 22:15

### 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 June
Open Detailed Calendar

# If v and w are different integers, does v=0? (1) vw = v^2

Author Message
TAGS:
Manager
Joined: 17 Aug 2010
Posts: 54
Followers: 0

Kudos [?]: 19 [0], given: 18

If v and w are different integers, does v=0? (1) vw = v^2 [#permalink]  10 Oct 2010, 08:36
00:00

Difficulty:

25% (medium)

Question Stats:

63% (01:38) correct 37% (00:32) wrong based on 146 sessions
If v and w are different integers, does v=0?

(1) vw = v^2

(2) w = 2

[Reveal] Spoiler: OA
A.

I am confused that why OA is "A", in option A, we got v = w and both v and w are different integer. Please explain this point.
[Reveal] Spoiler: OA

_________________

I don't want kudos.. I want to see smile on your face if I am able to help you.. which is priceless.

GMAT Instructor
Joined: 24 Jun 2008
Posts: 978
Location: Toronto
Followers: 281

Kudos [?]: 799 [0], given: 3

Re: DS - OG10 - 259 [#permalink]  10 Oct 2010, 08:44
zerotoinfinite2006 wrote:
If v and w are different integers, does v=0?

(1) vw = v^2

(2) w = 2

From Statement 1, we have:

vw = v^2
vw - v^2 = 0
v(w - v) = 0

and for this equation to be true, one of the factors on the left side must be equal to zero, so either v = 0, or v = w. Since we know that v does *not* equal w, the only remaining possibility is that v = 0, and Statement 1 is sufficient. Since Statement 2 is clearly insufficient, the answer is A.
_________________

Nov 2011: After years of development, I am now making my advanced Quant books and high-level problem sets available for sale. Contact me at ianstewartgmat at gmail.com for details.

Private GMAT Tutor based in Toronto

Math Expert
Joined: 02 Sep 2009
Posts: 27238
Followers: 4238

Kudos [?]: 41174 [0], given: 5672

Re: DS - OG10 - 259 [#permalink]  10 Oct 2010, 08:45
Expert's post
zerotoinfinite2006 wrote:
If v and w are different integers, does v=0?

(1) vw = v^2

(2) w = 2

[Reveal] Spoiler: OA
A.

I am confused that why OA is "A", in option A, we got v = w and both v and w are different integer. Please explain this point.

(1) $$vw = v^2$$ --> $$vw-v^2=0$$ --> $$v(w-v)=0$$: either $$v=0$$ or $$v=w$$, but as we are told that $$v$$ and $$w$$ are different integers then this case is out, so $$v=0$$. Sufficient.

(2) $$w = 2$$. Clearly not sufficient.

_________________
Manager
Joined: 25 Aug 2010
Posts: 98
Followers: 1

Kudos [?]: 4 [0], given: 1

Re: DS - OG10 - 259 [#permalink]  11 Oct 2010, 01:15
(1) vw = v^2

vw = v^2 possible only if v = w or v
v= 0
since v and w are 2 diff integers, definately its v = 0
Manager
Joined: 22 Feb 2012
Posts: 93
Schools: HBS '16
GMAT 1: 740 Q49 V42
GMAT 2: 670 Q42 V40
GPA: 3.47
WE: Corporate Finance (Aerospace and Defense)
Followers: 2

Kudos [?]: 20 [0], given: 25

Re: v = 0? [#permalink]  21 Mar 2012, 14:02
Bloody hell.. i got it wrong and then it dawned me.. Hate it when that happens

1)
OK so wv = v^2

thus wv -v^2 = 0
or v(w-v)=0

so v = 0 or v = w but we know that v doesnt equal w

thus sufficient

2) tells us nothing new insufficient
Math Expert
Joined: 02 Sep 2009
Posts: 27238
Followers: 4238

Kudos [?]: 41174 [0], given: 5672

Re: If v and w are different integers, does v=0? (1) vw = v^2 [#permalink]  03 Jul 2013, 00:17
Expert's post
Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

Theory on Algebra: algebra-101576.html

DS Algebra Questions to practice: search.php?search_id=tag&tag_id=29
PS Algebra Questions to practice: search.php?search_id=tag&tag_id=50

Special algebra set: new-algebra-set-149349.html

_________________
Manager
Joined: 18 Oct 2011
Posts: 91
Location: United States
Concentration: Entrepreneurship, Marketing
GMAT Date: 01-30-2013
GPA: 3.3
Followers: 2

Kudos [?]: 37 [0], given: 0

Re: If v and w are different integers, does v=0? (1) vw = v^2 [#permalink]  04 Jul 2013, 07:27
Statement 1: Can be rewritten as v(w-v) = 0. Since v and w are not the same v must = 0. Sufficient.
Statement 2: Doesn't tell us anything about v.

Re: If v and w are different integers, does v=0? (1) vw = v^2   [#permalink] 04 Jul 2013, 07:27
Similar topics Replies Last post
Similar
Topics:
If v and w are different integers, does v = 0 ? (1) vw = v^2 7 21 Aug 2011, 06:13
2 If v and w are different integers, does v = 0? 1. vw = v^2 2 16 Jun 2008, 17:00
If v and w are diff integers, does v = 0 ? 1) vw = v^2 2) w 3 03 Dec 2006, 20:22
If v and w are different integers, does v=0? (1) vw=v^2 (2) 2 03 Jun 2006, 22:22
v & w are different integers, does v = 0? 1) v = w(v^2) 11 30 Apr 2006, 03:07
Display posts from previous: Sort by