 It is currently 26 May 2019, 00:58 ### 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. # x - y > 0 and x > 1 and √(-)=√x  Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS: Director  Joined: 07 Jan 2018
Posts: 642
Followers: 7

Kudos [?]: 593  , given: 88

x - y > 0 and x > 1 and √(-)=√x [#permalink]
1
This post received
KUDOS 00:00

Question Stats: 65% (01:20) correct 35% (01:25) wrong based on 20 sessions
$$x - y > 0$$ and $$x > 1$$ and $$\sqrt{(x-y)}=\sqrt{x}-1$$

 Quantity A Quantity B $$Y$$ $$2 \sqrt{x}-1$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA GRE Instructor Joined: 10 Apr 2015
Posts: 1795
Followers: 58

Kudos [?]: 1681  , given: 8

Re: x - y > 0 and x > 1 and √(-)=√−1 [#permalink]
1
This post received
KUDOS
Expert's post
amorphous wrote:
$$x - y > 0$$ and $$x > 1$$ and $$\sqrt{(x-y)}=\sqrt{-1}$$

 Quantity A Quantity B $$Y$$ $$2 \sqrt{-1}$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

I think this question is missing something.
As it stands, we're told that x - y > 0. In other words, x - y is POSITIVE

Then we're told that $$\sqrt{(x-y)}=\sqrt{-1}$$
This means x - y = -1
However, we earlier learned that x - y is POSITIVE

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Day emails

Director  Joined: 07 Jan 2018
Posts: 642
Followers: 7

Kudos [?]: 593 , given: 88

Re: x - y > 0 and x > 1 and √(-)=√−1 [#permalink]
GreenlightTestPrep wrote:
amorphous wrote:
$$x - y > 0$$ and $$x > 1$$ and $$\sqrt{(x-y)}=\sqrt{-1}$$

 Quantity A Quantity B $$Y$$ $$2 \sqrt{-1}$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

I think this question is missing something.
As it stands, we're told that x - y > 0. In other words, x - y is POSITIVE

Then we're told that $$\sqrt{(x-y)}=\sqrt{-1}$$
This means x - y = -1
However, we earlier learned that x - y is POSITIVE

Cheers,
Brent

yes the question was incomplete, I have changed it.
Supreme Moderator
Joined: 01 Nov 2017
Posts: 370
Followers: 5

Kudos [?]: 111 , given: 4

Re: x - y > 0 and x > 1 and √(-)=√x [#permalink]
Expert's post
amorphous wrote:
$$x - y > 0$$ and $$x > 1$$ and $$\sqrt{(x-y)}=\sqrt{x}-1$$

 Quantity A Quantity B $$Y$$ $$2 \sqrt{x}-1$$

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

x-y>0 ; X>1 ; $$\sqrt{(x-y)}=\sqrt{x}-1$$

Let us square $$\sqrt{(x-y)}=\sqrt{x}-1$$..
$$\sqrt{(x-y)}^2=(\sqrt{x}-1)^2........ x-y=x+1-2√x....y=2√x-1.....A=B$$

C
_________________

Some useful Theory.
1. Arithmetic and Geometric progressions : https://greprepclub.com/forum/progressions-arithmetic-geometric-and-harmonic-11574.html#p27048
2. Effect of Arithmetic Operations on fraction : https://greprepclub.com/forum/effects-of-arithmetic-operations-on-fractions-11573.html?sid=d570445335a783891cd4d48a17db9825
3. Remainders : https://greprepclub.com/forum/remainders-what-you-should-know-11524.html
4. Number properties : https://greprepclub.com/forum/number-property-all-you-require-11518.html
5. Absolute Modulus and Inequalities : https://greprepclub.com/forum/absolute-modulus-a-better-understanding-11281.html Re: x - y > 0 and x > 1 and √(-)=√x   [#permalink] 21 Oct 2018, 01:30
Display posts from previous: Sort by

# x - y > 0 and x > 1 and √(-)=√x  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®.