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# What is the value of integer k?

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Math Expert
Joined: 02 Sep 2009
Posts: 42305

Kudos [?]: 133079 [0], given: 12403

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

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22 Aug 2017, 03:00
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What is the value of integer k?

(1) k + 3 > 0
(2) $$k^4 \leq 0$$
[Reveal] Spoiler: OA

_________________

Kudos [?]: 133079 [0], given: 12403

Director
Joined: 21 May 2013
Posts: 541

Kudos [?]: 48 [0], given: 492

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

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22 Aug 2017, 03:37
Bunuel wrote:
What is the value of integer k?

(1) k + 3 > 0
(2) $$k^4 \leq 0$$

B. K^4 can never be less than 0,so k=0

Kudos [?]: 48 [0], given: 492

Intern
Joined: 04 Nov 2015
Posts: 36

Kudos [?]: 3 [0], given: 2

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

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22 Aug 2017, 03:50
KS15 wrote:
Bunuel wrote:
What is the value of integer k?

(1) k + 3 > 0
(2) $$k^4 \leq 0$$

B. K^4 can never be less than 0,so k=0

Answer has to be E from B we get k = 0 and o is not an integer.

Kudos [?]: 3 [0], given: 2

Manager
Joined: 27 Dec 2016
Posts: 177

Kudos [?]: 47 [0], given: 205

Concentration: Social Entrepreneurship, Nonprofit
GPA: 3.65
WE: Sales (Consumer Products)
What is the value of integer k? [#permalink]

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22 Aug 2017, 03:51
Bunuel wrote:
What is the value of integer k?

(1) k + 3 > 0
(2) $$k^4 \leq 0$$

Statement 1
- $$k + 3 > 0$$, so $$k > -3$$
- Not sufficient.

Statement 2
- $$k^4 <= 0$$
- If K (+), no positive numbers satisfy this inequation.
- If K (-), no negative numbers satisfy this inequation.
- In fact, $$k^4$$ cannot be negative for any numbers, so only $$k=0$$ will satisfy.
- Hence, it sufficient.

B.
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Last edited by septwibowo on 22 Aug 2017, 03:52, edited 1 time in total.

Kudos [?]: 47 [0], given: 205

Math Expert
Joined: 02 Sep 2009
Posts: 42305

Kudos [?]: 133079 [0], given: 12403

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

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22 Aug 2017, 03:52
sandeep211986 wrote:
KS15 wrote:
Bunuel wrote:
What is the value of integer k?

(1) k + 3 > 0
(2) $$k^4 \leq 0$$

B. K^4 can never be less than 0,so k=0

Answer has to be E from B we get k = 0 and o is not an integer.

0 is neither positive nor negative even integer.
_________________

Kudos [?]: 133079 [0], given: 12403

Manager
Joined: 27 Dec 2016
Posts: 177

Kudos [?]: 47 [0], given: 205

Concentration: Social Entrepreneurship, Nonprofit
GPA: 3.65
WE: Sales (Consumer Products)
Re: What is the value of integer k? [#permalink]

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22 Aug 2017, 03:54
sandeep211986 wrote:
KS15 wrote:
Bunuel wrote:
What is the value of integer k?

(1) k + 3 > 0
(2) $$k^4 \leq 0$$

B. K^4 can never be less than 0,so k=0

Answer has to be E from B we get k = 0 and o is not an integer.

I think 0 is considered as an integer, sandeep211986
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Kudos [?]: 47 [0], given: 205

Director
Joined: 21 May 2013
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Kudos [?]: 48 [0], given: 492

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

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22 Aug 2017, 03:55
sandeep211986 wrote:
KS15 wrote:
Bunuel wrote:
What is the value of integer k?

(1) k + 3 > 0
(2) $$k^4 \leq 0$$

B. K^4 can never be less than 0,so k=0

Answer has to be E from B we get k = 0 and o is not an integer.

Buddy 0 is an integer.

Kudos [?]: 48 [0], given: 492

Director
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Kudos [?]: 48 [0], given: 492

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

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22 Aug 2017, 03:58
(1) k + 3 > 0
(2) $$k^4 \leq 0$$[/quote]

B. K^4 can never be less than 0,so k=0[/quote]

Answer has to be E from B we get k = 0 and o is not an integer.[/quote]

0 is neither positive nor negative even integer.[/quote]

Bunuel-your explanation could convey an incorrect meaning here. I know you mean to say ' 0 is neither positive nor negative' but that it is an integer
This is not what your sentence means

Kudos [?]: 48 [0], given: 492

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Kudos [?]: 296 [0], given: 165

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

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23 Aug 2017, 03:36
Bunuel wrote:
What is the value of integer k?

(1) k + 3 > 0
(2) $$k^4 \leq 0$$

1) K can take any positive value or 0 or negative value such that -3 < k < 0

Clearly insufficient

2) K^4 is ALWAYS bob-negative value it can't be negative. Only value here is k = 0

Sufficient

Kudos [?]: 296 [0], given: 165

What is the value of integer k?   [#permalink] 23 Aug 2017, 03:36
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