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# If x # y = –1, which of the following could be true?

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Senior Manager
Joined: 03 Mar 2010
Posts: 348
Schools: Simon '16 (M$) If x # y = –1, which of the following could be true? [#permalink] ### Show Tags Updated on: 04 Jul 2019, 01:46 1 2 00:00 Difficulty: 55% (hard) Question Stats: 60% (01:54) correct 40% (01:56) wrong based on 73 sessions ### HideShow timer Statistics x#y= (x−y)^2, if x>y x#y= x+$$y/4$$, if x≤y If x # y = –1, which of the following could be true? I. x=y II. x>y III. x<y (A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III Source: Nova GMAT Difficulty Level: 700 _________________ My dad once said to me: Son, nothing succeeds like success. Originally posted by jamifahad on 14 Sep 2011, 06:48. Last edited by SajjadAhmad on 04 Jul 2019, 01:46, edited 1 time in total. Added Source Retired Moderator Joined: 20 Dec 2010 Posts: 1572 Re: If x # y = –1, which of the following could be true? [#permalink] ### Show Tags 14 Sep 2011, 08:09 jamifahad wrote: As always, post your timing for below question, if possible. x#y= (x−y)^2, if x>y x#y= x+$$y/4$$, if x≤y If x # y = –1, which of the following could be true? I. x=y II. x>y III. x<y (A) I only (B) II only (C) III only (D) I and III only (E) I, II, and III (2:05) A square can never be -ve, ruled out II. For x=y; x+x/4=-1; 5x=-4; x=-4/5. Possible For x>y x+y/4=-1 x=-1-y/4=-(y+4)/4; y=-4, x=0. Possible. Ans: "D" _________________ Senior Manager Joined: 03 Mar 2010 Posts: 348 Schools: Simon '16 (M$)
Re: If x # y = –1, which of the following could be true?  [#permalink]

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14 Sep 2011, 08:25
1
fluke wrote:
For x>y
x+y/4=-1

x=-1-y/4=-(y+4)/4; y=-4, x=0. Possible.

This should be x<y.
Other than that flawless.

This custom character sometimes puzzles me.
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My dad once said to me: Son, nothing succeeds like success.
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Re: If x # y = –1, which of the following could be true?  [#permalink]

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14 Sep 2011, 08:39
fluke wrote:
For x>y
x+y/4=-1

x=-1-y/4=-(y+4)/4; y=-4, x=0. Possible.

This should be x<y.
Other than that flawless.

This custom character sometimes puzzles me.

That's right. thanks
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Senior Manager
Joined: 11 May 2011
Posts: 295
Re: If x # y = –1, which of the following could be true?  [#permalink]

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14 Sep 2011, 14:16
1
Time: 1:00 min.

Approach -
Since, x # y = –1
=> x#y= (x−y)^2, if x>y - This equation is not possible becasue any square will yield positive value.
=> x#y= x+y/4, if x≤y - This equation is only possible and as it says - x≤y, Hence - D.

Cheers!
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Senior Manager
Joined: 15 Jan 2017
Posts: 341
Re: If x # y = –1, which of the following could be true?  [#permalink]

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17 Aug 2017, 22:58
x#y = (x-y)^2 --> this rules out a -ve value (and option which says x > y; becz square can't be -ve)
so x#y = -1; we have to consider next equation --which says x < equal to y

if x+y/4= -1 --> x+y = -4 => either x = y (-2 and -2) or x less than y (y is 0; x is -4)
Thus I and III
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Re: If x # y = –1, which of the following could be true?  [#permalink]

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28 Sep 2018, 10:36
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Re: If x # y = –1, which of the following could be true?   [#permalink] 28 Sep 2018, 10:36
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# If x # y = –1, which of the following could be true?

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