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# If k is a non zero integer, is k > 0? (1) |k - 4| = |k| + 4 (2) k >

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Manager
Joined: 08 Apr 2017
Posts: 83
If k is a non zero integer, is k > 0? (1) |k - 4| = |k| + 4 (2) k >  [#permalink]

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28 May 2018, 18:13
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Difficulty:

75% (hard)

Question Stats:

46% (01:16) correct 54% (01:20) wrong based on 90 sessions

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If k is a non zero integer, is k > 0?

(1) |k - 4| = |k| + 4

(2) k > k^3
Intern
Joined: 30 Jan 2018
Posts: 18
Re: If k is a non zero integer, is k > 0? (1) |k - 4| = |k| + 4 (2) k >  [#permalink]

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28 May 2018, 18:25
A holds good only for k<0.
Statement A alone is sufficient.
B holds good only for k<0 (k not = -1).
Statement B alone is sufficient.
Hence, imo option C.

Thanks and regards,
Sharan Salem
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Thanks and regards,
Sharan Salem

Manager
Joined: 08 Apr 2017
Posts: 83
Re: If k is a non zero integer, is k > 0? (1) |k - 4| = |k| + 4 (2) k >  [#permalink]

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28 May 2018, 18:31
1
xalemsharan wrote:
A holds good only for k<0.
Statement A alone is sufficient.
B holds good only for k<0 (k not = -1).
Statement B alone is sufficient.
Hence, imo option C.

Thanks and regards,
Sharan Salem

If both the statements are sufficient on its own, then the answer for a Data sufficiency problem will be D
Intern
Joined: 30 Jan 2018
Posts: 18
Re: If k is a non zero integer, is k > 0? (1) |k - 4| = |k| + 4 (2) k >  [#permalink]

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28 May 2018, 18:34
GMATSkilled wrote:
xalemsharan wrote:
A holds good only for k<0.
Statement A alone is sufficient.
B holds good only for k<0 (k not = -1).
Statement B alone is sufficient.
Hence, imo option C.

Thanks and regards,
Sharan Salem

If both the statements are sufficient on its own, then the answer for a Data sufficiency problem will be D

Haha, my mistake, thank you mate.
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Thanks and regards,
Sharan Salem

Math Expert
Joined: 02 Aug 2009
Posts: 6802
Re: If k is a non zero integer, is k > 0? (1) |k - 4| = |k| + 4 (2) k >  [#permalink]

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28 May 2018, 20:27
If k is a non zero integer, is k > 0?

A. |k - 4| = |k| + 4
Square both sides..
$$k^2-8k+16=k^2+8|k|+16...........-8k=8|k|$$
Possible only when k is 0 or k<0..
Sufficient

B. k > $$k^3$$...
$$k^3-k<0.....k(k-1)(k+1)<0$$
If k<0, k^2-1>0 or k^2>1....k<-1
If k>0, k^2-1<0 or k^2<1....0<k<1
But since k is an integer, 0<k<1 is not a possibility..
So k<-1
Sufficient

D
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Intern
Joined: 19 Jun 2017
Posts: 4
If k is a non zero integer, is k > 0? (1) |k - 4| = |k| + 4 (2) k >  [#permalink]

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31 May 2018, 16:02
Hi,

Could you please explain evaluating the second statement x could be -2. In this case X<0. But it also could be 1/2, therefore x could be >0.

Thanks

Sorry my fault - the stimulus says it is an integer.
If k is a non zero integer, is k > 0? (1) |k - 4| = |k| + 4 (2) k > &nbs [#permalink] 31 May 2018, 16:02
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