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Founder  Joined: 18 Apr 2015
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Expert's post 00:00

Question Stats: 75% (00:34) correct 25% (00:29) wrong based on 88 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

_________________ Director Joined: 03 Sep 2017
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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. Intern Joined: 11 Jan 2018
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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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Intern Joined: 04 Feb 2018
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I am a bit confused.

For |k+1| = 31 doesn't this mean:
k can equal 30 or k can equal -32? Manager Joined: 22 Feb 2018
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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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Intern Joined: 15 Mar 2018
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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}. Intern Joined: 23 Nov 2017
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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. Intern Joined: 11 Jan 2018
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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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1 kudos = 1000 Thanks Re: 32=|k|   [#permalink] 27 Apr 2018, 11:44
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