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What is the value of y?

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What is the value of y? [#permalink]

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What is the value of y?

(1) |x| ≤ y ≤ -|x|
(2) |y| ≥ x ≥ -|y|
[Reveal] Spoiler: OA

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

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New post 05 Aug 2014, 06:24
goodyear2013 wrote:
What is the value of y?

(1) |x| ≤ y ≤ -|x|
(2) |y| ≥ x ≥ -|y|


in case A, y can only be zero

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

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New post 05 Aug 2014, 07:58
Can anyone put some light on this question . I mean explain in detail.

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What is the value of y? [#permalink]

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New post 05 Aug 2014, 09:25
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goodyear2013 wrote:
What is the value of y?

(1) |x| ≤ y ≤ -|x|
(2) |y| ≥ x ≥ -|y|



(1) |x| is always ≥ 0 as an absolute value is always ≥ 0. Therefore -|x| is always ≤ 0.
In (1) we are told that |x| ≤ -|x| that can alway be true only if x=0. Example : if x=-3, |-3| ≥ -|-3|. If x=1, |1| ≥ -|1|.
Therefore |0| ≤ y ≤ -|0|, which means y = 0. (1) Sufficient

(2) We are told that |y| ≥ -|y|, y could be any value. Not sufficient.

Answer A

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What is the value of y?

(1) |x| ≤ y ≤ -|x| --> from |x| ≤ -|x| we can get that 2|x| ≤ 0 --> |x| ≤ 0 --> x = 0. So, we have that 0 ≤ y ≤ 0 --> y = 0. Sufficient.

(2) |y| ≥ x ≥ -|y|. |y| ≥ -|y| holds for any value of y. Not sufficient.

Answer: A.

Hope it's clear.
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What is the value of y? [#permalink]

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New post 22 Sep 2015, 01:55
What is Y?

Tried to get logically, not algebra

St1. |x|<=y<=-|x|. Is it possible that some Y is more than +ive X and less than -ive X or equal them in one time? No. The only possiblity is when X=0, so 0<=y<=0, y=0. SUFF

St2. |y| ≥ x ≥ -|y|. In this case some X is less than +ive Y and more than -ive Y or equal them. Infinite Ys can be suggested. INSUFF

A

Last edited by Temurkhon on 23 Sep 2015, 22:35, edited 1 time in total.

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

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New post 23 Sep 2015, 22:24
Hi Bunuel ,

please can you explain the solution in detail.. unable to understand the solution .
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Re: What is the value of y?   [#permalink] 13 Aug 2017, 00:44
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