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Is |x| = |y|? (1) x = -y (2) x^2 = y^2

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HarveyKlaus
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Is |x| = |y|? (1) x = -y (2) x^2 = y^2 [#permalink] New post   Updated on: 11 Nov 2017, 01:25
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Is |x| = |y|?

(1) x = -y
(2) x^2 = y^2

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I found this question in GMAT Prep and selected ST2 as the answer but that's wrong.

Normally, x^2 would equal to lxl since it will contain both signs "positive as well as negative". How come st 1 is true?

Does it assume that since +x = -y, it must be true that -x is also equal to -y or?

What am I missing? :(

Thanks for your hep!
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D

Originally posted by HarveyKlaus on 16 Dec 2015, 07:06.
Last edited by Bunuel on 11 Nov 2017, 01:25, edited 3 times in total.
Formatted the question.
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Re: Is |x| = |y|? (1) x = -y (2) x^2 = y^2 [#permalink] New post   10 Nov 2017, 17:20
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You are asked whether |x|=|y| or in other words, is the distance of x from 0 = distance of y from 0 ? You would get a yes if x= y or x=-y. Lets evaluate the choices.

Per statement 1:x=−yx=−y . Clearly this is one of the conditions we are looking for. Assume 2-3 different values. x=2, y = -2 --> 2 and -2 are both 2 units from 0 . Similar for 3/-3 or 10/-10 etc. Thus this statement is sufficient.

Per statement 2: x2=y2x2=y2 ---> x=±yx=±y. Again both the cases, x=y and x=-y give you a "yes" for the question asked as is hence sufficient.

Both statements are sufficient ---> D is the correct answer.
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Re: Is |x| = |y|? (1) x = -y (2) x^2 = y^2 [#permalink] New post   16 Dec 2015, 07:38
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HarveyKlaus wrote:
Is lxl = lyl ?

A) x=-y
b) x^2 = y^2

Show Spoiler
I found this question in GMAT Prep and selected ST2 as the answer but that's wrong.

Normally, x^2 would equal to lxl since it will contain both signs "positive as well as negative". How come st 1 is true?

Does it assume that since +x = -y, it must be true that -x is also equal to -y or?

What am I missing? :(

Thanks for your hep!


You are asked whether |x|=|y| or in other words, is the distance of x from 0 = distance of y from 0 ? You would get a yes if x= y or x=-y. Lets evaluate the choices.

Per statement 1:\(x=-y\) . Clearly this is one of the conditions we are looking for. Assume 2-3 different values. x=2, y = -2 --> 2 and -2 are both 2 units from 0 . Similar for 3/-3 or 10/-10 etc. Thus this statement is sufficient.

Per statement 2: \(x^2=y^2\) ---> \(x= \pm y\). Again both the cases, x=y and x=-y give you a "yes" for the question asked as is hence sufficient.

Both statements are sufficient ---> D is the correct answer.
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Re: Is |x| = |y|? (1) x = -y (2) x^2 = y^2 [#permalink] New post   09 Mar 2018, 03:18
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HarveyKlaus wrote:
Is |x| = |y|?

(1) x = -y
(2) x^2 = y^2

Show Spoiler
I found this question in GMAT Prep and selected ST2 as the answer but that's wrong.

Normally, x^2 would equal to lxl since it will contain both signs "positive as well as negative". How come st 1 is true?

Does it assume that since +x = -y, it must be true that -x is also equal to -y or?

What am I missing? :(

Thanks for your hep!


Question:

Is |x| = |y|?

This can be represented in few ways as follow:

1. x = y

2. x = -y

3. -x = y

4. -x = -y

5. x^2 = y^2

If we can have any of these conditions, answer will be YES.

St 1: x = -y (Second condition) Sufficient

St 2: x^2 = y^2 (Fifth condition) Sufficient

(D)
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Re: Is |x| = |y| ? (1) x = –y (2) x^2 = y^2 [#permalink] New post   25 Aug 2018, 10:33
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dabaobao wrote:
Is |x| = |y| ?

(1) x = –y
(2) x^2 = y^2
The answer is D
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Re: Is |x| = |y|? (1) x = -y (2) x^2 = y^2 [#permalink] New post   05 Jun 2022, 20:24
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Bunuel, GMAT Prep question. Could you please tag it?
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Re: Is |x| = |y|? (1) x = -y (2) x^2 = y^2 [#permalink] New post   06 Jun 2022, 01:12
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AnkurGMAT20 wrote:
Bunuel, GMAT Prep question. Could you please tag it?

_______________
Done. Thank you!
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Re: Is |x| = |y|? (1) x = -y (2) x^2 = y^2 [#permalink] New post   19 Jun 2023, 17:03
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Re: Is |x| = |y|? (1) x = -y (2) x^2 = y^2 [#permalink]
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