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

 It is currently 24 May 2019, 08:56 ### 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
Your Progress

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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. ### Request Expert Reply # If z ≠ 0, is x = y ? (1) xy = -1/|z| (2) x/y = -z^2

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 55271
If z ≠ 0, is x = y ? (1) xy = -1/|z| (2) x/y = -z^2  [#permalink]

### Show Tags

1
6 00:00

Difficulty:   55% (hard)

Question Stats: 59% (01:48) correct 41% (01:55) wrong based on 161 sessions

### HideShow timer Statistics

GMAT CLUB TESTS' FRESH QUESTION

If $$z ≠ 0$$, is $$x = y$$ ?

(1) $$xy + \frac{1}{|z|} = 0$$

(2) $$\frac{x}{y} + z^2 = 0$$

_________________
Manager  B
Joined: 09 Oct 2015
Posts: 237
Re: If z ≠ 0, is x = y ? (1) xy = -1/|z| (2) x/y = -z^2  [#permalink]

### Show Tags

from a we know that xy = negative number, as 1/|x| is 1/ positive. Therefore, x and y are of the opposite signs.

same applies for statement b, as x^2 is always positive
Math Expert V
Joined: 02 Aug 2009
Posts: 7686
If z ≠ 0, is x = y ? (1) xy = -1/|z| (2) x/y = -z^2  [#permalink]

### Show Tags

If $$z ≠ 0$$, is $$x = y$$ ?

(1) $$xy + \frac{1}{|z|} = 0$$..
$$xy=-\frac{1}{|z|}$$, so xy is a NEGATIVE number and thus $$x\neq{y}$$
Sufficient

(2) $$\frac{x}{y} + z^2 = 0$$..
$$\frac{x}{y}=-z^2$$, so xy is NEGATIVE
Same as A
Sufficient

D
_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 55271
Re: If z ≠ 0, is x = y ? (1) xy = -1/|z| (2) x/y = -z^2  [#permalink]

### Show Tags

Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION

If $$z ≠ 0$$, is $$x = y$$ ?

(1) $$xy + \frac{1}{|z|} = 0$$

(2) $$\frac{x}{y} + z^2 = 0$$

_________________
CEO  P
Joined: 18 Aug 2017
Posts: 3524
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If z ≠ 0, is x = y ? (1) xy = -1/|z| (2) x/y = -z^2  [#permalink]

### Show Tags

Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION

If $$z ≠ 0$$, is $$x = y$$ ?

(1) $$xy + \frac{1}{|z|} = 0$$

(2) $$\frac{x}{y} + z^2 = 0$$

#1:
lzlxy=0
so x y have to be of opposite signs , sufficient

#2:
x/y+ z2= 0

again x& y have to be of opposite signs, sufficient

IMO D
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Manager  S
Joined: 24 Nov 2018
Posts: 109
Location: India
GPA: 3.27
WE: General Management (Retail Banking)
Re: If z ≠ 0, is x = y ? (1) xy = -1/|z| (2) x/y = -z^2  [#permalink]

### Show Tags

1
Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION

If $$z ≠ 0$$, is $$x = y$$ ?

(1) $$xy + \frac{1}{|z|} = 0$$

(2) $$\frac{x}{y} + z^2 = 0$$

Statement 1) |z| is always positive. SO, xy=-1/|z|, xy is always negative. But, x =y, xy=x^2, which is always positive. So, x is not equal to y. Sufficient.

Statement 2) z^2 is always positive. So, x/y is always negative, which means either x is positive and y is negative or vice versa. In either case, x is not equal to y. Sufficient.

Hence, Option D is correct.
_________________
Kudos encourage discussions. Share it to amplify collective education!
Manager  B
Joined: 23 Nov 2016
Posts: 133
Re: If z ≠ 0, is x = y ? (1) xy = -1/|z| (2) x/y = -z^2  [#permalink]

### Show Tags

Bunuel wrote:

GMAT CLUB TESTS' FRESH QUESTION

If $$z ≠ 0$$, is $$x = y$$ ?

(1) $$xy + \frac{1}{|z|} = 0$$

(2) $$\frac{x}{y} + z^2 = 0$$

S1: XY=-1/|Z|
This means X and Y are different sign so x=Not Y
S1: Sufficient

S2: X/Y=-Z^2
So x and y are different sign . so x=not y
S2 : Sufficient

+1 for D

_________________
If my post anyway helped you,please spare Kudos ! Re: If z ≠ 0, is x = y ? (1) xy = -1/|z| (2) x/y = -z^2   [#permalink] 31 Mar 2019, 05:56
Display posts from previous: Sort by

# If z ≠ 0, is x = y ? (1) xy = -1/|z| (2) x/y = -z^2

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.

#### MBA Resources  