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Does |x-2| = |y-2|? (1) x≠y (2) x<2 and y<2

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Does |x-2| = |y-2|? (1) x≠y (2) x<2 and y<2  [#permalink]

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New post 14 Feb 2017, 08:45
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Question Stats:

54% (01:04) correct 46% (00:59) wrong based on 29 sessions

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Does \(|x-2| = |y-2|\)?

(1) \(x≠y\)
(2) \(x<2\) and \(y<2\)

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Re: Does |x-2| = |y-2|? (1) x≠y (2) x<2 and y<2  [#permalink]

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New post 14 Feb 2017, 09:34
ziyuenlau wrote:
Does \(|x-2| = |y-2|\)?

(1) \(x≠y\)
(2) \(x<2\) and \(y<2\)


Hi
Let's see the statements..

(1) \(x≠y\)
|x-2|=|y-2|...... x=4 and y=0.. ans is YES..
X=4 and y=6... Ans is NO..
Insufficient..

(2) \(x<2\) and \(y<2\)
X=y=0... Ans is YES..
x=1 and y=0, ans is NO..
Insufficient..

Combined..
If both x and y are less than 2, and they are NOT EQUAL..
Ans will always be NO..
Suff
C
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: Does |x-2| = |y-2|? (1) x≠y (2) x<2 and y<2  [#permalink]

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New post 14 Feb 2017, 12:22
ziyuenlau wrote:
Does \(|x-2| = |y-2|\)?

(1) \(x≠y\)
(2) \(x<2\) and \(y<2\)


Similar questions:
is-x-3-y-109394.html
x-2-y-2-what-is-the-value-of-x-y-172994.html

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Re: Does |x-2| = |y-2|? (1) x≠y (2) x<2 and y<2 &nbs [#permalink] 14 Feb 2017, 12:22
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