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

It is currently 20 Oct 2018, 01:36

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

Is t=|r−s|?

  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: 50002
Is t=|r−s|?  [#permalink]

Show Tags

New post 29 Apr 2016, 02:45
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

61% (01:14) correct 39% (01:26) wrong based on 163 sessions

HideShow timer Statistics

Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6961
Re: Is t=|r−s|?  [#permalink]

Show Tags

New post 29 Apr 2016, 03:57
Bunuel wrote:
Is t=|r−s|?

(1) 3r > 3s
(2) t=r−s


what all does Is t=|r-s| means?
1) is t a positive number..
2) is the numeric value of t equal to the difference/ distance between r and s?

lets see the statements-


(1) 3r > 3s
or 3(r-s)>0..
so we know r-s>0, but NOTHING about t..
Insuff..

(2) t=r−s
Likely to be choosen as Suff by few..
But we do not know which is greater ..
a) if r> s, r-s >0 and t will be positive.. ans will be YES
b) if s>r, r-s<0 so t<0.. ans will be NO
so different answers..
Insuff

combined..
we know r-s>0 and from II that r-s = t..
so t=|r-s|
suff
C
_________________

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

Intern
Intern
avatar
B
Joined: 19 Jun 2017
Posts: 4
Re: Is t=|r−s|?  [#permalink]

Show Tags

New post 17 Apr 2018, 13:42
What if both r and s are negative?
DS Forum Moderator
avatar
P
Joined: 22 Aug 2013
Posts: 1348
Location: India
Premium Member
Re: Is t=|r−s|?  [#permalink]

Show Tags

New post 18 Apr 2018, 05:23
irynalowry wrote:
What if both r and s are negative?


Hello

Even if both r and s are negative, first statement tells us that r > s. And second statement tells us that t = r-s. Now even if both r and s are negative, if r > s then r - s will be positive only (you can try taking negative values of r/s such that r > s and check).

So after combining the statements, we know 't' or 'r-s' is positive and equal and thus t = |r-s|
Intern
Intern
avatar
B
Joined: 19 Jun 2017
Posts: 4
Re: Is t=|r−s|?  [#permalink]

Show Tags

New post 19 Apr 2018, 18:50
I got it now. Combining 1st and 2nd, the difference will always be positive because of the first statement.

Thank you :-)
GMAT Club Bot
Re: Is t=|r−s|? &nbs [#permalink] 19 Apr 2018, 18:50
Display posts from previous: Sort by

Is t=|r−s|?

  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®.