Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack
GMAT Club

 It is currently 27 Mar 2017, 07:51

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# If u > t, r > q, s > t, and t > r, which of the following

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

### Hide Tags

Manager
Joined: 01 Dec 2011
Posts: 69
Followers: 1

Kudos [?]: 42 [1] , given: 12

If u > t, r > q, s > t, and t > r, which of the following [#permalink]

### Show Tags

05 Feb 2012, 16:15
1
KUDOS
1
This post was
BOOKMARKED
00:00

Difficulty:

5% (low)

Question Stats:

90% (01:51) correct 10% (01:10) wrong based on 269 sessions

### HideShow timer Statistics

If u > t, r> q, s > t, and t > r, which of the following must be true?

I. u > s
II. s > q
III. u > r

(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III
[Reveal] Spoiler: OA

_________________

http://en.wikipedia.org/wiki/Kudos

Math Expert
Joined: 02 Sep 2009
Posts: 37619
Followers: 7403

Kudos [?]: 99657 [1] , given: 11033

Re: if u > t, r > q, s > t, and t > r, which of the following [#permalink]

### Show Tags

05 Feb 2012, 16:31
1
KUDOS
Expert's post
fiendex wrote:
If u > t, r > q, s > t, and t > r, which of the following must be true?

I. u > s
II. s > q
III. u > r

(A) I only
(B) II only
(C) III only
(D) I and II
(E) II and III

Arrange so that you have a string: $$u>t$$, $$t>r$$, $$r>q$$ and $$s>t$$ (this one do not fit so far).

So we have that: $$u>t>r>q$$;

Next, as $$s>t$$, then $$s$$ can be more as well as less than $$u$$, so the final ordering is either $$u>s>t>r>q$$ or $$s>u>t>r>q$$

Hence, II and III are always true, but I may or may not be true.

P.S. You can also use number line to mark the variables and visualize it.
_________________
Intern
Joined: 11 Jul 2012
Posts: 46
Followers: 0

Kudos [?]: 5 [0], given: 0

Re: if u > t, r > q, s > t, and t > r, which of the following [#permalink]

### Show Tags

31 Oct 2012, 12:05
from the question we can establish
u - t > 0, r - q > 0, s - t > 0, and t - r > 0
(u - t) + (t -r ) >0 ==> u > r III holds
(r - q) +(t - r) > 0 ==> t > q Since s > t and t > q ==> s > q II holds
Brother Karamazov
GMAT Club Legend
Joined: 09 Sep 2013
Posts: 14450
Followers: 607

Kudos [?]: 174 [0], given: 0

Re: If u > t, r > q, s > t, and t > r, which of the following [#permalink]

### Show Tags

26 Dec 2015, 01:14
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________
Re: If u > t, r > q, s > t, and t > r, which of the following   [#permalink] 26 Dec 2015, 01:14
Similar topics Replies Last post
Similar
Topics:
If r, s, and t are integers such that r^2 > s^2 > t^2, which of the 3 30 Jan 2017, 10:46
The integers q, r, s, t and u are positive. If t>q, u>r, s>t, and r>s, 1 26 Sep 2016, 18:55
4 Which of the following must be true => 3 03 Aug 2016, 17:01
Is r > s ? (1) -r + s < 0 (2) r < |s| 1 17 Feb 2012, 22:30
2 Is r > s ? 7 09 Mar 2011, 04:05
Display posts from previous: Sort by

# If u > t, r > q, s > t, and t > r, which of the following

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

 Powered by phpBB © phpBB Group and phpBB SEO 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®.