It is currently 26 Jun 2017, 10:59

### 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

Author Message
TAGS:

### Hide Tags

Manager
Joined: 01 Dec 2011
Posts: 68
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:

88% (01:52) correct 12% (01:18) wrong based on 293 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: 39701
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
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: 15982
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 x > y > 0 and p > q > 0, then which one of the following expression 7 24 Jun 2017, 20:46
If r > t and r < 1 and rt = 1, then which one of the following must be 1 24 Jun 2017, 08:15
2 If r, s, and t are integers such that r^2 > s^2 > t^2, which of the 4 20 May 2017, 02:24
The integers q, r, s, t and u are positive. If t>q, u>r, s>t, and r>s, 1 27 Sep 2016, 04:57
3 Is r > s ? 7 28 Mar 2014, 11:12
Display posts from previous: Sort by