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32=|k|

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32=|k| [#permalink] New post 07 Jun 2017, 01:08
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Question Stats:

69% (00:32) correct 30% (00:30) wrong based on 55 sessions



32=|k|

31=|k+1|

Quantity A
Quantity B
k
32


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: 32=|k| [#permalink] New post 16 Sep 2017, 23:57
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|k| = 32 means that K = 32 or k = -32. |k+1|=31 means that k+1=31 -> k=30 or -k-1=31 -> k=-32. The two equations are simultaneously satisfied when k = -32. Thus, since 32 > -32, the answer is B.
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Re: 32=|k| [#permalink] New post 28 Feb 2018, 14:52
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Given that, |k| = 32
So, either k = +32 or k = -32

BUT,

Also given that:
|k+1| = 31
So, k cannot be 32, because otherwise, |k+1| would become 33, which is not the case.

Thus, k = -32

So, Choice B correct.
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Re: 32=|k| [#permalink] New post 28 Feb 2018, 17:08
I am a bit confused.

For |k+1| = 31 doesn't this mean:
k can equal 30 or k can equal -32?
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Re: 32=|k| [#permalink] New post 28 Mar 2018, 14:59
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Answer: B
32 = |k|
k = -32 or k = +32
31 = |k +1| if k = 32 then |k+1| equals 33 and if k = -32 |k+1| equals 31.
So K is -32.
B is bigger than A.

I think this question shouldn't be considered as hard!
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Re: 32=|k| [#permalink] New post 29 Mar 2018, 05:06
The Question is structured incorrectly, there is no indication that the question is asking to solve for k, both equations are given independently. To correctly frame the question it should read as |K|=31 & |K+1|=31.... with linking & sign, without an & sign clearing the set of values K could be the answer should be "D", because K can be {31,32,-32}.
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Re: 32=|k| [#permalink] New post 29 Mar 2018, 12:57
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pinenuts000 wrote:
I am a bit confused.

For |k+1| = 31 doesn't this mean:
k can equal 30 or k can equal -32?


Whenever you see a number inside ||, you are looking for the number's absolute value which is basically the number's positive value. For example, in X = |-1|, x would be 1 since we want the absolute value of -1 which is 1. in Y = |6-10|, y would be 4 because 6-10 is -4 and the absolute value of -4 is 4.

For this question 32 =|k|, k could be either 32 or -32. for 31 to be equal |k+1|, k has to be -32 because -32+1 is -31 and the absolute value of -31 is 31. Remember, you can have a negative number inside || (ex |-10|. but once you pull out the number, THE NUMBER WILL ALWAYS BE POSITIVE.

Hope it helps.
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Re: 32=|k| [#permalink] New post 27 Apr 2018, 11:44
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pinenuts000 wrote:
I am a bit confused.

For |k+1| = 31 doesn't this mean:
k can equal 30 or k can equal -32?

Note that two equations given:
1) |k| = 32
From this you can say, either k = +32 or k = -32

2) |k+1| = 31
From this, you can say, either k = 30 or k = - 32

Note that k = -32 is unanimously extracted from both of the equations given,

Thus, k = -32

So, Choice B correct.
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Re: 32=|k|   [#permalink] 27 Apr 2018, 11:44
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