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# What is the value of x?

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Intern
Joined: 26 Jan 2016
Posts: 9
What is the value of x?  [#permalink]

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Updated on: 05 Jul 2016, 04:39
1
1
00:00

Difficulty:

25% (medium)

Question Stats:

68% (00:46) correct 32% (00:37) wrong based on 176 sessions

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What is the value of x?

(1) |x|= -x

(2) |x|^2 = x^2

Originally posted by ha15 on 05 Jul 2016, 04:34.
Last edited by Bunuel on 05 Jul 2016, 04:39, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Joined: 02 Sep 2009
Posts: 51218
Re: What is the value of x?  [#permalink]

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05 Jul 2016, 04:42
3
What is the value of x?

(1) |x|= -x. This implies that x is not a positive number. Any non-positive number satisfies this equation: 0, -1, -2, -3.12, ... Not sufficient.

(2) |x|^2 = x^2. This is true for any x. Not sufficient.

(1)+(2) x can be any non-positive number. Not sufficient.

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Manager
Joined: 29 May 2016
Posts: 103
Re: What is the value of x?  [#permalink]

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08 Jul 2016, 21:59
1
|x| = x tells us x>=0
and |x| = - x tells us x<=0

B is true for any value of X
Combine A and B not sufficient
Director
Joined: 11 Feb 2015
Posts: 616
Re: What is the value of x?  [#permalink]

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21 Jun 2018, 09:10
This is a value question. Both the statements are NS. Hence correct answer is (E)
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Intern
Joined: 23 Jul 2017
Posts: 5
Re: What is the value of x?  [#permalink]

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25 Sep 2018, 00:03
Bunuel wrote:
What is the value of x?

(1) |x|= -x. This implies that x is not a positive number. Any non-positive number satisfies this equation: 0, -1, -2, -3.12, ... Not sufficient.

(2) |x|^2 = x^2. This is true for any x. Not sufficient.

(1)+(2) x can be any non-positive number. Not sufficient.

0 is neither positive nor negative, so won't it satisfy the first condition?
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Joined: 02 Sep 2009
Posts: 51218
Re: What is the value of x?  [#permalink]

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25 Sep 2018, 00:09
CluelessLearner wrote:
Bunuel wrote:
What is the value of x?

(1) |x|= -x. This implies that x is not a positive number. Any non-positive number satisfies this equation: 0, -1, -2, -3.12, ... Not sufficient.

(2) |x|^2 = x^2. This is true for any x. Not sufficient.

(1)+(2) x can be any non-positive number. Not sufficient.

0 is neither positive nor negative, so won't it satisfy the first condition?

The solution you quote says that for (1) x can be 0. Your question is not clear.
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Re: What is the value of x?  [#permalink]

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25 Sep 2018, 03:36
Bunuel wrote:
CluelessLearner wrote:
Bunuel wrote:
What is the value of x?

(1) |x|= -x. This implies that x is not a positive number. Any non-positive number satisfies this equation: 0, -1, -2, -3.12, ... Not sufficient.

(2) |x|^2 = x^2. This is true for any x. Not sufficient.

(1)+(2) x can be any non-positive number. Not sufficient.

0 is neither positive nor negative, so won't it satisfy the first condition?

The solution you quote says that for (1) x can be 0. Your question is not clear.

I'm sorry, I didn't see this line earlier - "Any non-positive number satisfies this equation: 0, -1, -2, -3.12, ... Not sufficient"
Really don't know how I missed it ! The solution is correct. Thanks!
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Joined: 22 Feb 2018
Posts: 411
Re: What is the value of x?  [#permalink]

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25 Sep 2018, 04:47
ha15 wrote:
What is the value of x?

(1) |x|= -x

(2) |x|^2 = x^2

OA: E

(1) $$|x|= -x$$
It is true of all non positve integers
$$x\leq{0}$$
There is no unique value of $$x$$.
So Statement $$1$$ alone is insufficient.

(2) $$|x|^2 = x^2$$
It is true for any value of $$x$$.
There is no unique value of $$x$$.
So Statement $$2$$ alone is insufficient.

Combining $$(1)$$ and $$(2)$$, we get
$$x\leq{0}$$
There is no unique value of $$x$$. So combining $$(1)$$ and $$(2)$$ also is insufficient.
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Re: What is the value of x? &nbs [#permalink] 25 Sep 2018, 04:47
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