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

It is currently 13 Nov 2018, 12:25

Close

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.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
  • Essential GMAT Time-Management Hacks

     November 14, 2018

     November 14, 2018

     07:00 PM PST

     08:00 PM PST

    Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST
  • $450 Tuition Credit & Official CAT Packs FREE

     November 15, 2018

     November 15, 2018

     10:00 PM MST

     11:00 PM MST

    EMPOWERgmat is giving away the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)

If x > 2 and y < -2, then which of the following must be true ?

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 50572
If x > 2 and y < -2, then which of the following must be true ?  [#permalink]

Show Tags

New post 29 Sep 2015, 02:34
1
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

88% (01:02) correct 12% (01:03) wrong based on 133 sessions

HideShow timer Statistics

Intern
Intern
avatar
Joined: 03 Sep 2015
Posts: 4
Re: If x > 2 and y < -2, then which of the following must be true ?  [#permalink]

Show Tags

New post 29 Sep 2015, 02:50
It should be C
A is not possible cuz y is -ve & x is +ve
B - the ans can be -1 ex. (3/-3)
D x+y can be negetive
E xy is always -ve
Director
Director
User avatar
B
Joined: 10 Mar 2013
Posts: 512
Location: Germany
Concentration: Finance, Entrepreneurship
GMAT 1: 580 Q46 V24
GPA: 3.88
WE: Information Technology (Consulting)
GMAT ToolKit User
Re: If x > 2 and y < -2, then which of the following must be true ?  [#permalink]

Show Tags

New post 29 Sep 2015, 03:02
x > 2 and y < -2

A) x/y > 1 -> Answer cannot be positive as we are dealing with opposite signs by x,y
B) x/y < -1 -> let's pick some extreme numbers x=2,1 and y=-1,9 than x/y =-1.1 YES , but x=5, y=-10 x/y=-0.5 NO
C) x/y < 0 -> CORRECT
D) x + y > 0 -> X=3, y=-1 YES, x=3, y=-100 NO
E) xy > 0 -> same as A
_________________

When you’re up, your friends know who you are. When you’re down, you know who your friends are.

Share some Kudos, if my posts help you. Thank you !

800Score ONLY QUANT CAT1 51, CAT2 50, CAT3 50
GMAT PREP 670
MGMAT CAT 630
KAPLAN CAT 660

Manager
Manager
avatar
Joined: 02 Jul 2015
Posts: 106
Schools: ISB '18
GMAT 1: 680 Q49 V33
Re: If x > 2 and y < -2, then which of the following must be true ?  [#permalink]

Show Tags

New post 29 Sep 2015, 03:15
The answer is C

x equals any value from 2 to infinity while y includes values from -2 to -infinity. this value will always be less than zero as their signs will always be different irrespective of values.
Intern
Intern
avatar
Joined: 17 Nov 2008
Posts: 1
Re: If x > 2 and y < -2, then which of the following must be true ?  [#permalink]

Show Tags

New post 29 Sep 2015, 05:28
Pick x=3, y = -3
A) x/y > 1 - Incorrect as x/y = -1
B) x/y < -1 - Incorrect as x/y = -1
C) x/y < 0 - Correct. It will hold for all values x > 2 and y < -2 as x/y = -1 < 0
D) x + y > 0 - Incorrect. x + y = 0
E) xy > 0 - Incorrect. XY = -9 which is less than zero.

C should be the answer.
VP
VP
User avatar
V
Status: It's near - I can see.
Joined: 13 Apr 2013
Posts: 1282
Location: India
Concentration: International Business, Operations
GMAT 1: 480 Q38 V22
GPA: 3.01
WE: Engineering (Consulting)
Premium Member Reviews Badge CAT Tests
If x > 2 and y < -2, then which of the following must be true ?  [#permalink]

Show Tags

New post 29 Sep 2015, 08:28
Bunuel wrote:
If x > 2 and y < -2, then which of the following must be true ?

A) x/y > 1
B) x/y < -1
C) x/y < 0
D) x + y > 0
E) xy > 0

Kudos for a correct solution.


My solution:

Stem says:- x is +ve and greater than 2, y is -ve and less than -2.

A) x/y>1 (can never be greater than 1 as expression will always be negative as y is negative. Not true )

B) x/y < -1 (can be equal to -1 when x is 3 and y is -3. Not true always)

C) x/y < 0 (will always be less than zero as only one value is negative i.e, "y". Always true.

D) x+y>0 (can be equal to zero or less than zero [3+(-3)=0] or [4+(-5)=-1] Not always true)

E) xy>0(As y is negative xy can never be greater than zero. Not true)

_________________

"Do not watch clock; Do what it does. KEEP GOING."

Manager
Manager
avatar
Joined: 22 Aug 2012
Posts: 73
Concentration: Technology
GMAT 1: 710 Q47 V40
If x > 2 and y < -2, then which of the following must be true ?  [#permalink]

Show Tags

New post 30 Sep 2015, 10:08
I believe the answer is C. Please see below for explanation.

If x > 2 and y < -2, then which of the following must be true ?

if x= 3 and y =-3 and we plug in the numbers we get

A) x/y > 1---------- 3/-3=-1 not true
B) x/y < -1--------- 3/-3=-1 not true
C) x/y < 0---------- 3/-3=-1 a positive number divided by a negative number will always be negative True
D) x + y > 0-------- 3-3=0 not true
E) xy > 0----------- 3*-3<0 not true


Answer C
Senior Manager
Senior Manager
avatar
P
Joined: 31 Jul 2017
Posts: 492
Location: Malaysia
Schools: INSEAD Jan '19
GMAT 1: 700 Q50 V33
GPA: 3.95
WE: Consulting (Energy and Utilities)
Re: If x > 2 and y < -2, then which of the following must be true ?  [#permalink]

Show Tags

New post 19 Dec 2017, 09:14
Bunuel wrote:
If x > 2 and y < -2, then which of the following must be true ?

A) x/y > 1
B) x/y < -1
C) x/y < 0
D) x + y > 0
E) xy > 0

Kudos for a correct solution.


Hi chetan2u & genxer123,

For this question its obvious that the answer will be C. But I am unable to justify why D is wrong even though we can prove that D is wrong by plugging in some numbers. From the given question x > 2 and -2 > y. As I understand we can add and substract inequalities provided we know their sign. So, when we subtract the above two equation we get x + 2 > 2 - y or x+y > 0. Can you please advise where I am wrong in my thinking.
_________________

If my Post helps you in Gaining Knowledge, Help me with KUDOS.. !!

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2090
Premium Member CAT Tests
If x > 2 and y < -2, then which of the following must be true ?  [#permalink]

Show Tags

New post 19 Dec 2017, 13:03
1
rahul16singh28 wrote:
Bunuel wrote:
If x > 2 and y < -2, then which of the following must be true ?

A) x/y > 1
B) x/y < -1
C) x/y < 0
D) x + y > 0
E) xy > 0

Kudos for a correct solution.


Hi chetan2u & genxer123,

For this question its obvious that the answer will be C. But I am unable to justify why D is wrong even though we can prove that D is wrong by plugging in some numbers. From the given question x > 2 and -2 > y. As I understand we an add and substract inequalities provided we know their sign. So, when we subtract the above two equation we get x + 2 > 2 - y or x+y > 0. Can you please advise where I am wrong in my thinking.

rahul16singh28 , you just got a little mixed up about the direction of the sign. (Take comfort: the answer is there because plenty of others will do exactly what you did.)

It looks to me as if you subtracted inequalities with the same sign.
You said you subtracted these: x > 2 and -2 > y
Not allowed. Their signs face the same direction.

We can add inequalities whose signs are the same direction.

We can subtract inequalities whose signs are in opposite directions.

So you can add the two you listed. And: You are adding a negative number (-2) on LHS, i.e., subtraction. 3 + -2 = (3-2) = 1

····· x > 2
(+)-2 > y
------------------------
= x - 2 > 2 + y

Can you take it from there?

If not, you might want to take a look at Bunuel , Tips and Hints on Inequalities

And here, Inequalities Made Easy

Just in case you haven't seen it, the GMATclub Math Book, IS HERE

Does that help? :-)
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7025
Re: If x > 2 and y < -2, then which of the following must be true ?  [#permalink]

Show Tags

New post 19 Dec 2017, 18:49
1
rahul16singh28 wrote:
Bunuel wrote:
If x > 2 and y < -2, then which of the following must be true ?

A) x/y > 1
B) x/y < -1
C) x/y < 0
D) x + y > 0
E) xy > 0

Kudos for a correct solution.


Hi chetan2u & genxer123,

For this question its obvious that the answer will be C. But I am unable to justify why D is wrong even though we can prove that D is wrong by plugging in some numbers. From the given question x > 2 and -2 > y. As I understand we can add and substract inequalities provided we know their sign. So, when we subtract the above two equation we get x + 2 > 2 - y or x+y > 0. Can you please advise where I am wrong in my thinking.



Already explained above ....
Just remember that you do not know the signs of variables..
So look at the sign and add the greater quantities and add the smaller quantities, ofcourse sum of greater quantities will be MORE than the sum of smaller quantities..
So x>2 and -2>y tells you x ia POSITIVE and y is NEGATIVE..
So 2-y will become a positive value.
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: If x > 2 and y < -2, then which of the following must be true ? &nbs [#permalink] 19 Dec 2017, 18:49
Display posts from previous: Sort by

If x > 2 and y < -2, then which of the following must be true ?

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

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®.