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# What is the value of the integer k?

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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]

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]
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.

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