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Is |x| = |y|? (1) x = -y (2) x^2 = y^2
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Updated on: 11 Nov 2017, 01:25
Updated on: 11 Nov 2017, 01:25
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Is |x| = |y|?
(1) x = -y
(2) x^2 = y^2
(1) x = -y
(2) x^2 = y^2
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!
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!
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.
Last edited by Bunuel on 11 Nov 2017, 01:25, edited 3 times in total.
Formatted the question.
Re: Is |x| = |y|? (1) x = -y (2) x^2 = y^2
[#permalink]
10 Nov 2017, 17:20
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.
Please give me kudos. I need them to unlock gmatclub tests.
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.
Please give me kudos. I need them to unlock gmatclub tests.
Joined: 20 Mar 2014
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Re: Is |x| = |y|? (1) x = -y (2) x^2 = y^2
[#permalink]
16 Dec 2015, 07:38
16 Dec 2015, 07:38
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HarveyKlaus
Is lxl = lyl ?
A) x=-y
b) x^2 = y^2
A) x=-y
b) x^2 = y^2
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!
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.
