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What is the value of x?

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What is the value of x?  [#permalink]

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New post Updated on: 05 Jul 2016, 04:39
1
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A
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  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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Re: What is the value of x?  [#permalink]

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New post 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.

Answer: E.
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Re: What is the value of x?  [#permalink]

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New post 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
E is the answer
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Re: What is the value of x?  [#permalink]

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New post 21 Jun 2018, 09:10
This is a value question. Both the statements are NS. Hence correct answer is (E)
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Re: What is the value of x?  [#permalink]

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New post 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.

Answer: E.


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

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New post 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.

Answer: E.


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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Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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

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New post 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.

Answer: E.


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 :dazed ! The solution is correct. Thanks!
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Re: What is the value of x?  [#permalink]

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New post 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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