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What is the value of K?

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What is the value of K? [#permalink]

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New post 29 May 2015, 05:26
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A
B
C
D
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Difficulty:

  55% (hard)

Question Stats:

56% (00:52) correct 44% (00:57) wrong based on 312 sessions

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Re: What is the value of K? [#permalink]

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New post 29 May 2015, 05:54
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Hello all

My attempt:

Statement 1:

\((-k)^5 = -k^5\)
\(-k^5 = -k^5\)
True for any value of \(k\). Therefore not solvable with this statement

Statement 2:

\((-k)^4 = -k^4\)
\(k^4 = -k^4\)
\(k^4 + k^4 = 0\)
\(2*k^4 = 0\)
Thus \(k=0\)
Hence solvable.

I will go with option \(B\)
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Re: What is the value of K? [#permalink]

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New post 29 May 2015, 17:05
Bunuel wrote:
What is the value of K?

(1) (-k)^5 = -k^5
(2) (-k)^4 = -k^4


1 Statement give us nothing, since K could be either positive or negative.
Take 2 or -2 for example, the result will be the same always.
Not Suf

2 Statement 2 show us that K can not be a negative nor a positive.
take 2 e.g
(-2)^4= 16
-(2^4)=-16
Thus the only possibility is K=0

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Re: What is the value of K? [#permalink]

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Bunuel wrote:
What is the value of K?

(1) (-k)^5 = -k^5
(2) (-k)^4 = -k^4


OFFICIAL SOLUTION:

What is the value of K?

(1) (-k)^5 = -k^5. This is the same as -k^5 = -k^5, which holds true for any value of k. Not sufficient.

(2) (-k)^4 = -k^4. Since (-k)^4 = k^4, then we have that k^4 = -k^4, which gives 2k^4 = 0, or k = 0. Sufficient.

Answer: B.
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Re: What is the value of K? [#permalink]

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New post 01 Nov 2016, 09:13
Bunuel : Here,

(-k)^5 = -k^5
-k^5 + k^5 = 0.

Am i missing something?
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Re: What is the value of K? [#permalink]

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New post 01 Nov 2016, 09:16
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Re: What is the value of K? [#permalink]

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New post 01 Nov 2016, 09:19
Bunuel : Thanks. Got it :)
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Re: What is the value of K? [#permalink]

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Re: What is the value of K?   [#permalink] 18 Dec 2017, 14:07
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