It is currently 16 Dec 2017, 10:56

### 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

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

Author Message
SVP
Joined: 14 Dec 2004
Posts: 1681

Kudos [?]: 172 [0], given: 0

v & w are different integers, does v = 0? 1) v = w(v^2) [#permalink]

### Show Tags

30 Apr 2006, 03:07
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

v & w are different integers, does v = 0?

1) v = w(v^2)
2) w = 2

Last edited by vivek123 on 30 Apr 2006, 09:11, edited 2 times in total.

Kudos [?]: 172 [0], given: 0

Senior Manager
Joined: 08 Jun 2004
Posts: 494

Kudos [?]: 95 [0], given: 0

Location: Europe

### Show Tags

30 Apr 2006, 03:51
'E'

1) insuff, as v can be equal to 0 or 1
2) insuff also,

Both they are insuff as well: v=w(v^2), v = 0 or v = 1/2
1/2=2{(1/2)^2} and
0=2*0^2

Kudos [?]: 95 [0], given: 0

Manager
Joined: 23 Mar 2006
Posts: 75

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

### Show Tags

30 Apr 2006, 04:03
Yep,

Second M8 on the answer and the approach. It is E

Though irrelevant, V is either 0 or 1/w. Doesn't matter really.

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

SVP
Joined: 14 Dec 2004
Posts: 1681

Kudos [?]: 172 [0], given: 0

### Show Tags

30 Apr 2006, 09:02
But the OA is not "E"

Kudos [?]: 172 [0], given: 0

Senior Manager
Joined: 05 Jan 2006
Posts: 381

Kudos [?]: 94 [0], given: 0

### Show Tags

30 Apr 2006, 12:48
I would also go for A

v= wv^2
v-wv^2=0
v(1-wv)=0
v=0 or v=1/w now v and w both are different integer so v=0

Kudos [?]: 94 [0], given: 0

Manager
Joined: 23 Jan 2006
Posts: 191

Kudos [?]: 41 [0], given: 0

### Show Tags

30 Apr 2006, 12:49
M8 wrote:
'E'

1) insuff, as v can be equal to 0 or 1
2) insuff also,

Both they are insuff as well: v=w(v^2), v = 0 or v = 1/2
1/2=2{(1/2)^2} and
0=2*0^2

See the original problem. v & w are different integers. The only integer that the stem can be tru for is 0.
I choose C

I think i remember seeing this one n OG....

Kudos [?]: 41 [0], given: 0

Intern
Joined: 28 Jan 2005
Posts: 18

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

### Show Tags

30 Apr 2006, 13:47
st1)v=wv^2
=> v-wv^2=0
=>v(1-wv)=0 so either v=0 or wv=1 so insufficient
wv=1 its only possible when w=1 &v=1 or w=-1 or v=-1 as both w & v are different integers,
so means wv!=1 means v=0----------sufficient

St2) w=2 insufficient

ANS(A)

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

VP
Joined: 29 Apr 2003
Posts: 1402

Kudos [?]: 30 [0], given: 0

### Show Tags

30 Apr 2006, 17:22
I wud go with A

From 1:

v= w(v^2)

Thus w(v^2) - v =0
or v(vw-1) =0

Thus, v=0 or v = 1/w.

Now w and v are differnt INTEGERS! Only way for v to be an integer is w = 1 or -1!

Then v will also be the same as W!

Thus v=0!

Kudos [?]: 30 [0], given: 0

Manager
Joined: 28 Mar 2006
Posts: 157

Kudos [?]: 5 [0], given: 0

### Show Tags

30 Apr 2006, 18:59
sm176811 wrote:
I wud go with A

From 1:

v= w(v^2)

Thus w(v^2) - v =0
or v(vw-1) =0

Thus, v=0 or v = 1/w.

Now w and v are differnt INTEGERS! Only way for v to be an integer is w = 1 or -1!

Then v will also be the same as W!

Thus v=0!

Agree with A...(agree with or agree to?)
Nice explanation sm176811!

Kudos [?]: 5 [0], given: 0

VP
Joined: 29 Dec 2005
Posts: 1337

Kudos [?]: 70 [0], given: 0

Re: DS: GMATPrep - Integers [#permalink]

### Show Tags

30 Apr 2006, 21:15
vivek123 wrote:
v & w are different integers, does v = 0?

1) v = w(v^2)
2) w = 2

should be A because the question says different integers.
if v and w are different integers, v must be 0 irrespective of w to hold v = w(v^2).

Kudos [?]: 70 [0], given: 0

Intern
Joined: 19 Apr 2006
Posts: 28

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

### Show Tags

01 May 2006, 03:31
also A for the same reason as professor's......v can only be the same as wv^2 if v=0 (if v&w are different integers)

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

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5032

Kudos [?]: 457 [0], given: 0

Location: Singapore

### Show Tags

03 May 2006, 01:10
St1:

v = wv^2
v(1-wv) = 0
v =0 or wv = 1 --> v,W = 1,1 or -1,-1.

wv = 1,1 and -1,-1 are out because v and w are different.

Sufficient.

St2:
w=2. Insufficient. No information abotu v.

Ans A

Kudos [?]: 457 [0], given: 0

03 May 2006, 01:10
Display posts from previous: Sort by