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# What is the value of the integer k?

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Manager
Joined: 27 Dec 2009
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What is the value of the integer k?  [#permalink]

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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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Joined: 02 Sep 2009
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What is the value of the integer k?  [#permalink]

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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.

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28 Dec 2009, 10:19

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

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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]

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02 Jan 2012, 08:04

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.

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Re: What is the value of the integer k? (1) k + 3 > 0 (2) k^4  [#permalink]

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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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DS - If negative answer only, still sufficient. No need to find exact solution.
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Re: What is the value of the integer k?  [#permalink]

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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]

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10 Apr 2015, 04:15
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]

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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]

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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

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Re: What is the value of the integer k? (1) k + 3 > 0 (2) k^4  [#permalink]

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27 Mar 2019, 01:37
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Re: What is the value of the integer k? (1) k + 3 > 0 (2) k^4   [#permalink] 27 Mar 2019, 01:37
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