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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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14 Feb 2017, 08:45
00:00

Difficulty:

55% (hard)

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 $$y<2$$

--== Message from GMAT Club Team ==--

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Math Expert
Joined: 02 Aug 2009
Posts: 6561
Re: Does |x-2| = |y-2|? (1) x≠y (2) x<2 and y<2  [#permalink]

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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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Math Expert
Joined: 02 Sep 2009
Posts: 48110
Re: Does |x-2| = |y-2|? (1) x≠y (2) x<2 and y<2  [#permalink]

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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

--== Message from GMAT Club Team ==--

This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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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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