 It is currently 20 Sep 2020, 22:50 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # If x > y, then which of the following could be true?  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:
Intern Joined: 14 Aug 2018
Posts: 9
Followers: 1

Kudos [?]: 6 , given: 1

If x > y, then which of the following could be true? [#permalink] 00:00

Question Stats: 55% (00:54) correct 44% (01:50) wrong based on 9 sessions
If $$x > y$$, then which of the following could be true?

I. $$|x||y|x<|xy|y$$
II. $$|x||y|x>|xy|y$$
III. $$|x||y|x=−|xy|y$$

(a) I only
(b) II only
(c) III only
(d) I and II only
(e) I, II, and III

Last edited by Carcass on 20 Oct 2019, 00:08, edited 3 times in total.
Edited by Carcass VP Joined: 20 Apr 2016
Posts: 1302
WE: Engineering (Energy and Utilities)
Followers: 22

Kudos [?]: 1308  , given: 251

Re: If x > y, then which of the following could be true? [#permalink]
1
KUDOS
sanna14 wrote:
If $$x > y$$, then which of the following could be true?

I. $$|x||y|x<|xy|y$$
II. $$|x||y|x>|xy|y$$
III. $$|x||y|x=−|xy|y$$

(a) I only
(b) II only
(c) III only
(d) I and II only
(e) I, II, and III

*** Kindly mention the source in your present and future post. Plz don't forget to mention the Official answer
Here,
since, we don't what is x and y , so we have two take all possible values:

Let x and y be positive integer, such that x = 2 and y = 1

Put the values in |x||y|x and |xy|y

|x||y|x = 2 * 1 * 2 = 4

and |xy|y = 2*1 * 1 = 2

SO, |x||y|x > |xy|y

Let x and y be negative integer, such that x = -1 and y = -2

Put the values in |x||y|x and |xy|y

|x||y|x = 1 * 2 * -1 = -2

and |xy|y = 2*1 * -2 = -4

SO, |x||y|x>|xy|y

Let x and y be fraction, such that x = 0.5 and y = -0.1

Put the values in |x||y|x and |xy|y

|x||y|x = 0.5 * 0.1 * 0.5 = 0.025

and |xy|y = 0.5*0.1 * -0.1 = -0.005

SO, |x||y|x>|xy|y

Hence, we have tried out different possibilities and only option II is feasible.
Option B
_________________

If you found this post useful, please let me know by pressing the Kudos Button

Rules for Posting

Got 20 Kudos? You can get Free GRE Prep Club Tests

GRE Prep Club Members of the Month:TOP 10 members of the month with highest kudos receive access to 3 months GRE Prep Club tests Intern Joined: 12 Sep 2020
Posts: 15
Followers: 0

Kudos [?]: 21  , given: 2

Re: If x > y, then which of the following could be true? [#permalink]
2
KUDOS
I think the options are wrong. Both 2 and 3 are possible. Since the question asks for could be true, means we need to find one case where it is true.

As we know, by property,

|x||y| = |xy|

Therefore,

1. Can never be true.
2. Is true always
3. Is true when y = -x. In this case, x > y and |x||y|x = -|x||y|y, therefore 3 holds too.

Therefore, both option 2 and 3 are correct. Re: If x > y, then which of the following could be true?   [#permalink] 16 Sep 2020, 00:36
Display posts from previous: Sort by

# If x > y, then which of the following could be true?  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.