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If w + k = v, what is the value of k ?

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If w + k = v, what is the value of k ? [#permalink]

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New post 26 Dec 2017, 00:30
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A
B
C
D
E

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  35% (medium)

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67% (00:39) correct 33% (00:58) wrong based on 51 sessions

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Re: If w + k = v, what is the value of k ? [#permalink]

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New post 26 Dec 2017, 01:47
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Statement 1 :v^3 = w^3 ; hence v = w
So w + k = v
or, v+k=v , hence k =0, sufficient.
Statement 2 :v^2 = w^2 ; hence v = w, -w
hence k can be 0 or 2v, not sufficient.

Hence Answer is A
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Re: If w + k = v, what is the value of k ? [#permalink]

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New post 27 Dec 2017, 05:55
Bunuel wrote:
If w + k = v, what is the value of k ?

(1) v^3 = w^3
(2) v^2 = w^2


(1) v^3 = w^3. Then, \(v=w\) because odd exponents don't change variables sign. So, \(w+k=v\) then, \(k=v-w; k=w-w=0\); sufficient.

(2) v^2 = w^2. Then, \(|v|=|w|\) because even exponents change negative variables to positive. If \(v=1\), \(w=-1\) then \(v^2 = w^2\) is \((1)^2 = (-1)^2\) true, but \(1≠-1... v≠w\); insufficient.

(A) is the answer.
Re: If w + k = v, what is the value of k ?   [#permalink] 27 Dec 2017, 05:55
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If w + k = v, what is the value of k ?

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