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What is the value of k ? (1) k*|k| = 4 (2) |k|*|k| = 4

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What is the value of k ? (1) k*|k| = 4 (2) |k|*|k| = 4  [#permalink]

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New post 29 Nov 2018, 02:16
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A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

76% (00:44) correct 24% (00:57) wrong based on 179 sessions

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Re: What is the value of k ? (1) k*|k| = 4 (2) |k|*|k| = 4  [#permalink]

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New post 29 Nov 2018, 02:35
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Bunuel wrote:
What is the value of k ?

(1) k*|k| = 4
(2) |k|*|k| = 4


Since our expressions are both similar to k^2 = 4, we'll guess that the two possible options are 2 or -2.
Then all we need to do is check these two numbers, an Alternative approach.

(1) 2*|2| = 4 so k = 2 works. (-2)*|(-2)| = -4 so k = -2 does not work. Since no other number gives k^2 = 4, then k must be equal to 2.
Sufficient.

(2) |2|*|2|=4 so k = 2 works. |(-2)|*|(-2)| = 4 so k = -2 also works.
Insufficient.

(A) is our answer
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Re: What is the value of k ? (1) k*|k| = 4 (2) |k|*|k| = 4  [#permalink]

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New post 29 Nov 2018, 04:06
Bunuel wrote:
What is the value of k ?

(1) k*|k| = 4
(2) |k|*|k| = 4



from 1 : value of k would be +2

sufficeint
from2 K can be +/-2 so insufficient..
IMO A is correct..
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Re: What is the value of k ? (1) k*|k| = 4 (2) |k|*|k| = 4  [#permalink]

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New post 29 Nov 2018, 05:40
Bunuel wrote:
What is the value of k ?

(1) k*|k| = 4
(2) |k|*|k| = 4



Statement 1: |k| = positive. k has to be positive in that case. 2*2 = 4. k=2.

Statement 2: |k|*|k| = 4. Now this is a bit complicated. |k| is a modulus . k can be negative or positive . NOT sufficient.

The best answer is A
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Re: What is the value of k ? (1) k*|k| = 4 (2) |k|*|k| = 4  [#permalink]

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New post 29 Nov 2018, 13:04
Bunuel wrote:
What is the value of k ?

(1) k*|k| = 4
(2) |k|*|k| = 4


S1) k * a positive value = positive number -> k must be positive. Need the positive solution to k^2 = 4. k = 2. SUFFICIENT
S2) k=2 or k=-2 are solutions. INSUFFICIENT

Answer A
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Re: What is the value of k ? (1) k*|k| = 4 (2) |k|*|k| = 4  [#permalink]

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New post 24 Dec 2018, 01:33
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Re: Find the integer K: (1) K*|K|=4 (2) |K|*|K|=4  [#permalink]

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New post 03 Oct 2019, 03:10
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Re: Find the integer K: (1) K*|K|=4 (2) |K|*|K|=4   [#permalink] 03 Oct 2019, 03:10
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