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What is the value of the integer k?

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msand
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What is the value of the integer k? [#permalink] New post   27 Dec 2009, 15:02
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What is the value of the integer k?

(1) k + 3 > 0
(2) k^4 <= 0
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B
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Bunuel
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What is the value of the integer k? [#permalink] New post   27 Dec 2009, 18:11
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What is the value of the integer k?

(1) \(k+3>0\) --> \(k>-3\), not sufficient to determine single numerical value of \(k\). Not sufficient.

(2) \(k^4\leq{0}\), as a number in even power is never negative \(k^4\) cannot be less than zero, thus \(k^4=0\) --> \(k=0\). Sufficient.

Answer: B.
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ludwigfraboulet
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Re: DS problem [#permalink] New post   28 Dec 2009, 10:19
The answer is B

1st statement non sufficient, from this statement we just know k < -3

2nd statement sufficient because from this statement, k must be 0 to have an integer k which k^4< or = 0

Therefore the answer is B
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Re: DS problem [#permalink] New post   28 Dec 2009, 13:03
An even power can never be negative. Therefore statement B is sufficient.
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Re: What is the value of the integer k? (1) k + 3 > 0 (2) k^4 [#permalink] New post   02 Jan 2012, 08:04
Without looking at the answer...

1) k + 3 > 0 ...This simply means k > -2, but this doesn't indicate a specific value. #1 alone is insufficient.
2) k^4 <= 0 ...This indicates that k^4 is less than or equal to 0. It's impossible for any real number with an even exponent to result in a negative value, so k = 0. #2 alone is sufficient.

Answer: B
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Re: What is the value of the integer k? (1) k + 3 > 0 (2) k^4 [#permalink] New post   07 Jan 2012, 16:17
1. k+3>0 -> k>-3. Clearly insuff.
2. K^4 <= 0. Any even root is always positive, so < 0 is not possible. Only true if k=0. Suff.

B.
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sisorayi01
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Re: What is the value of the integer k? [#permalink] New post   09 Apr 2015, 20:48
im confused with this question. Why would:

1) The question state something that is in fact FALSE (k^4<0, k^4=0). Aren't the statements supposed to be "true" in order to determine the answer? I have a hard time understanding why they would "present" false information to solve the problem.. i just havent really seen this before.

2) The question asks, what is the value of k? Not, what is the value of k^2. K can be -2, -1, 0, 1, 2.

Thanks!
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Re: What is the value of the integer k? [#permalink] New post   10 Apr 2015, 04:15
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sisorayi01 wrote:
im confused with this question. Why would:

1) The question state something that is in fact FALSE (k^4<0, k^4=0). Aren't the statements supposed to be "true" in order to determine the answer? I have a hard time understanding why they would "present" false information to solve the problem.. i just havent really seen this before.

2) The question asks, what is the value of k? Not, what is the value of k^2. K can be -2, -1, 0, 1, 2.

Thanks!


Statements cannot be false. On the GMAT, two data sufficiency statements always provide TRUE information and these statements NEVER contradict each other or the stem.

The second statement says that \(k^4\leq{0}\), not k^4 < 0. Which means that k = 0. Please re-read my solution above.
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Re: What is the value of the integer k? [#permalink] New post   13 Mar 2016, 08:11
X^even = always positive so k=0 and statement 2 is sufficient
hence A
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Re: What is the value of the integer k? [#permalink] New post   18 Jul 2016, 01:55
msand wrote:
What is the value of the integer k?

(1) k + 3 > 0
(2) k^4 <= 0


What is the value of the integer k?

(1) k + 3 > 0
k > -3
k can anything from -3 to positive infinity; k ={-3,-2,-1,0,1,2,3,4,5,....99...13456.... infinity}
INSUFFICIENT

(2) \(k^4\) \(<= 0\)
Raising any number to an even power removes the possibility of getting a negative number in the output.
so the expression become \(k^4=0\)
therefore k is also 0
SUFFICIENT

ANSWER IS B
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Re: What is the value of the integer k? [#permalink] New post   11 Sep 2022, 13:32
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Re: What is the value of the integer k? [#permalink]
11 Sep 2022, 13:32
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