GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 06 Dec 2019, 00:42

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Define x?y to be |x - y| for all real numbers x and y. Which of the fo

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59561
Define x?y to be |x - y| for all real numbers x and y. Which of the fo  [#permalink]

### Show Tags

19 Mar 2019, 02:07
00:00

Difficulty:

75% (hard)

Question Stats:

37% (01:36) correct 63% (01:42) wrong based on 56 sessions

### HideShow timer Statistics

Define x?y to be |x - y| for all real numbers x and y. Which of the following statements is not true?

(A) x?y = y?x for all x and y

(B) 2(x?y) = (2x)?(2y) for all x and y

(C) x?0 = x for all x

(D) x?x = 0 for all x

(E) x?y > 0 if $$x \neq y$$
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5428
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Define x?y to be |x - y| for all real numbers x and y. Which of the fo  [#permalink]

### Show Tags

19 Mar 2019, 06:06
Bunuel wrote:
Define x?y to be |x - y| for all real numbers x and y. Which of the following statements is not true?

(A) x?y = y?x for all x and y

(B) 2(x?y) = (2x)?(2y) for all x and y

(C) x?0 = x for all x

(D) x?x = 0 for all x

(E) x?y > 0 if $$x \neq y$$

for x?0 = x for all x
0>x
not sufficient
IMO C
Director
Joined: 27 May 2012
Posts: 945
Re: Define x?y to be |x - y| for all real numbers x and y. Which of the fo  [#permalink]

### Show Tags

19 Mar 2019, 11:56
Bunuel wrote:
Define x?y to be |x - y| for all real numbers x and y. Which of the following statements is not true?

(A) x?y = y?x for all x and y

(B) 2(x?y) = (2x)?(2y) for all x and y

(C) x?0 = x for all x

(D) x?x = 0 for all x

(E) x?y > 0 if $$x \neq y$$

Yes if X = -2 then x?y
|-2-0|=2 which is $$\neq$$ -2
Hence C is not true .
_________________
- Stne
Re: Define x?y to be |x - y| for all real numbers x and y. Which of the fo   [#permalink] 19 Mar 2019, 11:56
Display posts from previous: Sort by