Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 13:38

### 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

# What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 56277
What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

### Show Tags

22 Nov 2018, 02:45
00:00

Difficulty:

25% (medium)

Question Stats:

71% (01:21) correct 29% (01:10) wrong based on 153 sessions

### HideShow timer Statistics

What is the value of $$|x| - |y|$$ ?

(1) $$|x - y| = 0$$

(2) $$|\frac{x}{y}| = 1$$

_________________
VP
Joined: 31 Oct 2013
Posts: 1392
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

### Show Tags

Updated on: 05 Jan 2019, 05:27
Bunuel wrote:
What is the value of $$|x| - |y|$$ ?

(1) $$|x - y| = 0$$

(2) $$|\frac{x}{y}| = 1$$

Statement 1;

$$|x - y| = 0$$

x=y

or

x = y

substituting the value of x we get 0.

Statement 2:

$$|\frac{x}{y}| = 1$$

either ,

x/y = 1

x = y

or

-x/-y = 1

x = y

The same as 1.

Sufficient .

Originally posted by KSBGC on 22 Nov 2018, 02:52.
Last edited by KSBGC on 05 Jan 2019, 05:27, edited 2 times in total.
Senior Manager
Joined: 13 Jan 2018
Posts: 336
Location: India
Concentration: Operations, General Management
GMAT 1: 580 Q47 V23
GMAT 2: 640 Q49 V27
GPA: 4
WE: Consulting (Consulting)
Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

### Show Tags

22 Nov 2018, 02:53
Statement 1) when the difference of two numbers is 0 then both the numbers must be equal. so x = y.

|x| - |y| = 0. SUFFICIENT.

Statement 2) $$|\frac{x}{y}|$$ = 1.

Here |x| = |y|. So |x| - |y| = 0. SUFFICIENT.

OPTION : D
_________________
____________________________
Regards,

Chaitanya

+1 Kudos

if you like my explanation!!!
GMAT Club Legend
Joined: 18 Aug 2017
Posts: 4237
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

### Show Tags

22 Nov 2018, 02:55
Bunuel wrote:
What is the value of $$|x| - |y|$$ ?

(1) $$|x - y| = 0$$

(2) $$|\frac{x}{y}| = 1$$

Stmnt 1 would be valid only when both x& y are same value and same sign
sufficient

Stmnt 2: would be valid for same reason as for 1

IMO D
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Math Expert
Joined: 02 Sep 2009
Posts: 56277
Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

### Show Tags

24 Dec 2018, 01:39
Bunuel wrote:
What is the value of $$|x| - |y|$$ ?

(1) $$|x - y| = 0$$

(2) $$|\frac{x}{y}| = 1$$

_________________
Intern
Joined: 08 Dec 2018
Posts: 9
Location: India
Schools: ISB '20, IIMA PGPX"20
Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1  [#permalink]

### Show Tags

07 May 2019, 11:08
KSBGC wrote:
Bunuel wrote:
What is the value of $$|x| - |y|$$ ?

(1) $$|x - y| = 0$$

(2) $$|\frac{x}{y}| = 1$$

Statement 1;

$$|x - y| = 0$$

x=y

or

x = y

substituting the value of x we get 0.

Statement 2:

$$|\frac{x}{y}| = 1$$

either ,

x/y = 1

x = y

or

-x/-y = 1

x = y

The same as 1.

Sufficient .

Statement 2 : If x=-2 and y=2
then |x|/|y| => |-2|/|2| =>1 but in this case both x and y are having different signs, so how this is marked as sufficient. It is not necessary that both should be having same signs. Please explain what's wrong in my approach.
Re: What is the value of |x| - |y| ? (1) |x - y| = 0 (2) |x/y| = 1   [#permalink] 07 May 2019, 11:08
Display posts from previous: Sort by