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# Is |k| = 2?

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Manager
Joined: 27 Feb 2010
Posts: 88
Location: Denver

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28 Apr 2010, 12:30
3
6
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Difficulty:

5% (low)

Question Stats:

77% (00:35) correct 23% (00:42) wrong based on 510 sessions

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Is |k| = 2?

(1) k^2 = 4
(2) k = |-2|
Manager
Joined: 27 Feb 2010
Posts: 88
Location: Denver
Re: Is |k| = 2? need help  [#permalink]

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Updated on: 03 May 2010, 19:10
1. K sqr = 4 => k= +2 or -2 = |k| ??? Suff ?
2. k= |-2| = > |k| = 2 ?? Suff ?

Originally posted by zz0vlb on 28 Apr 2010, 12:33.
Last edited by zz0vlb on 03 May 2010, 19:10, edited 1 time in total.
Manager
Joined: 24 Jul 2009
Posts: 240
Re: Is |k| = 2? need help  [#permalink]

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28 Apr 2010, 12:38
zz0vlb wrote:
Is |k| = 2?

(1) k sqr = 4
(2) k = |-2|

I need someone to explain me the concept of this problem. I am not fully confident. Gurpreet or Bunuel?

I'm not gurpreet or Bunuel, but still would like to try..!!

Question asks Is |k| = 2 >>> which means >>> Is k= 2,-2.
If the value of k is 2 or -2, the answer will "YES"

Statement 1:
k sqr = 4 means >>> k =2 or k=-2, In either case |k| = 2.

Statement 2:
k = |-2| = 2.
so k =2, so |k| = 2.

IMO its D.
Manager
Joined: 15 Dec 2009
Posts: 51
Re: Is |k| = 2? need help  [#permalink]

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29 Apr 2010, 08:44
nverma wrote:
zz0vlb wrote:
Is |k| = 2?

(1) k sqr = 4
(2) k = |-2|

I need someone to explain me the concept of this problem. I am not fully confident. Gurpreet or Bunuel?

I'm not gurpreet or Bunuel, but still would like to try..!!

Question asks Is |k| = 2 >>> which means >>> Is k= 2,-2.
If the value of k is 2 or -2, the answer will "YES"

Statement 1:
k sqr = 4 means >>> k =2 or k=-2, In either case |k| = 2.

Statement 2:
k = |-2| = 2.
so k =2, so |k| = 2.

IMO its D.

Statement 1:
k sqr = 4 means >>> k =2 or k=-2, Also k can be Root 4

NOT SUFF

Statement 2:
k = |-2| = 2.
so k =2, so |k| = 2.

SUFF

IMO B
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Re: Is |k| = 2? need help  [#permalink]

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30 Apr 2010, 09:01
chauhan2011 wrote:
nverma wrote:
zz0vlb wrote:
Is |k| = 2?

(1) k sqr = 4
(2) k = |-2|

I need someone to explain me the concept of this problem. I am not fully confident. Gurpreet or Bunuel?

I'm not gurpreet or Bunuel, but still would like to try..!!

Question asks Is |k| = 2 >>> which means >>> Is k= 2,-2.
If the value of k is 2 or -2, the answer will "YES"

Statement 1:
k sqr = 4 means >>> k =2 or k=-2, In either case |k| = 2.

Statement 2:
k = |-2| = 2.
so k =2, so |k| = 2.

IMO its D.

Statement 1:
k sqr = 4 means >>> k =2 or k=-2, Also k can be Root 4

NOT SUFF

Statement 2:
k = |-2| = 2.
so k =2, so |k| = 2.

SUFF

IMO B

D for sure. The question is about |k|, root 4 =2. k=2 or -2 <=> k square=4 <=> |k|=2

ksquare=4 doesn't mean k can be root 4
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Posts: 1676
Concentration: Finance
Re: Is |k| = 2? (1) k sqr = 4 (2) k = |-2| I need someone to  [#permalink]

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16 Oct 2013, 05:26
zz0vlb wrote:
Is |k| = 2?

(1) k sqr = 4
(2) k = |-2|

I need someone to explain me the concept of this problem. I am not fully confident. Gurpreet or Bunuel?

Hey Guys - Going with D on this one.

Thanks
Cheers!
J:)
Math Expert
Joined: 02 Sep 2009
Posts: 53831
Re: Is |k| = 2? (1) k sqr = 4 (2) k = |-2| I need someone to  [#permalink]

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16 Oct 2013, 06:52
jlgdr wrote:
zz0vlb wrote:
Is |k| = 2?

(1) k sqr = 4
(2) k = |-2|

I need someone to explain me the concept of this problem. I am not fully confident. Gurpreet or Bunuel?

Hey Guys - Going with D on this one.

Thanks
Cheers!
J:)

Is |k| = 2?

(1) k^2 = 4 --> |k| = 2. Sufficient.

(2) k = |-2| --> k=2 --> |k| = 2. Sufficient.

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Re: Is |k| = 2?  [#permalink]

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31 Jan 2016, 22:13
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

Is |k| = 2?

(1) k^2 = 4
(2) k = |-2|

In the original condition, there is 1 variable(k), which should match with the number of equations. So you need 1 equation.
For 1) 1 equation, for 2) 1 equation, which is likely to make D the answer.
For 1), k=-2,2 but |k|=|2|,|-2|=2, which is unique and sufficient.
For 2), k=|-2|=2, which is unique and sufficient.

 For cases where we need 1 more equation, such as original conditions with “1 variable”, or “2 variables and 1 equation”, or “3 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 59 % chance that D is the answer, while A or B has 38% chance and C or E has 3% chance. Since D is most likely to be the answer using 1) and 2) separately according to DS definition. Obviously there may be cases where the answer is A, B, C or E.
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Re: Is |k| = 2?  [#permalink]

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07 Feb 2017, 12:45
zz0vlb wrote:
Is |k| = 2?

(1) k^2 = 4
(2) k = |-2|

1. basically tells that |k|=2 - sufficient
2. k=2 -> |k|=2 - sufficient.

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Re: Is |k| = 2?  [#permalink]

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03 Jul 2018, 21:15
1. K ^2 = 4 => k= +2 or -2 = |k|
2. k= |-2| = > |k| = 2 Suff So D is the answer
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Posts: 432
Re: Is |k| = 2?  [#permalink]

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30 Dec 2018, 18:10
Bunuel wrote:
jlgdr wrote:
zz0vlb wrote:
Is |k| = 2?

(1) k sqr = 4
(2) k = |-2|

I need someone to explain me the concept of this problem. I am not fully confident. Gurpreet or Bunuel?

Hey Guys - Going with D on this one.

Thanks
Cheers!
J:)

Is |k| = 2?

(1) k^2 = 4 --> |k| = 2. Sufficient.

(2) k = |-2| --> k=2 --> |k| = 2. Sufficient.

Hello Bunuel,

I am not getting how option 2 is sufficient. As per question statement- $$|K| =2$$ so K can 2 or -2

Option 2 says K= |-2| =2, it doesn't give option of -2.
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Posts: 53831
Re: Is |k| = 2?  [#permalink]

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31 Dec 2018, 01:55
ammuseeru wrote:
Bunuel wrote:
Is |k| = 2?[/b]

(1) k^2 = 4 --> |k| = 2. Sufficient.

(2) k = |-2| --> k=2 --> |k| = 2. Sufficient.

Hello Bunuel,

I am not getting how option 2 is sufficient. As per question statement- $$|K| =2$$ so K can 2 or -2

Option 2 says K= |-2| =2, it doesn't give option of -2.

The question asks: Is |k| = 2?

(2) says: k = 2. If k = 2, then |k| = 2.
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Re: Is |k| = 2?  [#permalink]

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31 Dec 2018, 04:09
zz0vlb wrote:
Is |k| = 2?

(1) k^2 = 4
(2) k = |-2|

#1:
K^2= +/-2 ; sufficient

#2
k=l-2l= 2
sufficient

IMO D
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Re: Is |k| = 2?   [#permalink] 31 Dec 2018, 04:09
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