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

It is currently 13 Oct 2019, 16:30

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

If −y ≥ x, and −x < −5, 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

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58335
If −y ≥ x, and −x < −5, then which of the following must be true?  [#permalink]

Show Tags

New post 02 Sep 2016, 05:52
3
10
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

55% (01:36) correct 45% (01:32) wrong based on 259 sessions

HideShow timer Statistics

Intern
Intern
avatar
B
Joined: 18 Jul 2016
Posts: 35
Re: If −y ≥ x, and −x < −5, then which of the following must be true?  [#permalink]

Show Tags

New post 02 Sep 2016, 06:44
2
-y> x; -x<-5

--> y<-x; -x<-5

--> y<-x<-5

--> y<-5

--> -y>5 ---> IMO answer is C
Intern
Intern
avatar
B
Joined: 10 Nov 2014
Posts: 7
Re: If −y ≥ x, and −x < −5, then which of the following must be true?  [#permalink]

Show Tags

New post 02 Sep 2016, 07:14
Provided info:

−y ≥ x, and −x < −5

y <= -x < -5

As '-x' is less than '-5' and Y is less than or equal to '-x'

we have y < -5 which is similar to -y > 5.


Point to remember : when dealing with inequalities and when multiplying with negative sign on both sides of the equation, we have to change the inequality.
Manager
Manager
avatar
B
Joined: 04 May 2014
Posts: 152
Location: India
WE: Sales (Mutual Funds and Brokerage)
Re: If −y ≥ x, and −x < −5, then which of the following must be true?  [#permalink]

Show Tags

New post 12 Oct 2017, 00:56
-y>=x and -x<-5 or x>5
hence -y>=x>5 or -y>5
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2817
Re: If −y ≥ x, and −x < −5, then which of the following must be true?  [#permalink]

Show Tags

New post 16 Oct 2017, 16:52
Bunuel wrote:
If −y ≥ x, and −x < −5, then which of the following must be true?

A. y = −5
B. y > −5
C. −y > 5
D. y ≤ −5
E. y ≥ −5


Dividing both sides of the first inequality by -1, we have y ≤ -x. Since -x < -5, y < -5. However, since we don’t have this inequality in the answer choices, we can multiply both sides of y < -5 by -1 and we have -y > 5.

Answer: C
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Current Student
User avatar
G
Joined: 12 Nov 2017
Posts: 105
Location: India
GMAT 1: 650 Q50 V28
GMAT 2: 710 Q50 V35
GPA: 2.8
WE: Information Technology (Computer Software)
Reviews Badge
Re: If −y ≥ x, and −x < −5, then which of the following must be true?  [#permalink]

Show Tags

New post 07 Jan 2018, 11:21
Bunuel wrote:
If −y ≥ x, and −x < −5, then which of the following must be true?

A. y = −5
B. y > −5
C. −y > 5
D. y ≤ −5
E. y ≥ −5


Bunuel I have a doubt, why can't the answer be D?

Given that: -x<-5 means after sign reversal: x>5
also -y >=x implies that -y >= 5
after sign reversal: y<= -5

Hence option D.
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58335
Re: If −y ≥ x, and −x < −5, then which of the following must be true?  [#permalink]

Show Tags

New post 07 Jan 2018, 11:29
1
2
ImAnkitKaushik wrote:
Bunuel wrote:
If −y ≥ x, and −x < −5, then which of the following must be true?

A. y = −5
B. y > −5
C. −y > 5
D. y ≤ −5
E. y ≥ −5


Bunuel I have a doubt, why can't the answer be D?

Given that: -x<-5 means after sign reversal: x>5
also -y >=x implies that -y >= 5
after sign reversal: y<= -5

Hence option D.


Given: x > 5 and -y >= x. Notice that C and D differ only by = sign. Here y cannot be 5 because if it is, then we'd get 5 >= x and we know that x is strictly more than 5.
_________________
GMAT Club Bot
Re: If −y ≥ x, and −x < −5, then which of the following must be true?   [#permalink] 07 Jan 2018, 11:29
Display posts from previous: Sort by

If −y ≥ x, and −x < −5, then which of the following must be true?

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





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne