Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 17 Jul 2019, 09:44

### 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

# 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: 63
If u > t, r > q, s > t, and t > r, which of the following  [#permalink]

### Show Tags

05 Feb 2012, 16:15
3
6
00:00

Difficulty:

5% (low)

Question Stats:

89% (01:19) correct 11% (01:46) wrong based on 377 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

_________________
http://en.wikipedia.org/wiki/Kudos
Math Expert
Joined: 02 Sep 2009
Posts: 56275
Re: if u > t, r > q, s > t, and t > r, which of the following  [#permalink]

### Show Tags

05 Feb 2012, 16:31
2
1
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: 40
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
VP
Joined: 09 Mar 2016
Posts: 1273
If u > t, r > q, s > t, and t > r, which of the following  [#permalink]

### Show Tags

23 Feb 2018, 11:33
Bunuel wrote:
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.

hello Bunuel i have a question

if $$u>s>t>r>q$$

let u = 5; s = 4 ; t = 3; r = 2; q =1

then why option 2 is not correct ? $$s > q$$ --> $$4>1$$ isnt it
Math Expert
Joined: 02 Sep 2009
Posts: 56275
Re: If u > t, r > q, s > t, and t > r, which of the following  [#permalink]

### Show Tags

24 Feb 2018, 00:48
1
dave13 wrote:
Bunuel wrote:
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.

hello Bunuel i have a question

if $$u>s>t>r>q$$

let u = 5; s = 4 ; t = 3; r = 2; q =1

then why option 2 is not correct ? $$s > q$$ --> $$4>1$$ isnt it

You did not read the solution you quote carefully.

The final ordering is either $$u>s>t>r>q$$ OR $$s>u>t>r>q$$
_________________
Manager
Joined: 23 Sep 2016
Posts: 236
Re: If u > t, r > q, s > t, and t > r, which of the following  [#permalink]

### Show Tags

26 Feb 2018, 22:22
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

put the question in single line and it will be easy for you from above statement we can say u,s>t>r>q accordingly 1st statement maybe true or may be not as we don't have any exact information about. So answer is E 2 and 3 statement is true.
Non-Human User
Joined: 09 Sep 2013
Posts: 11668
Re: If u > t, r > q, s > t, and t > r, which of the following  [#permalink]

### Show Tags

03 May 2019, 23:51
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] 03 May 2019, 23:51
Display posts from previous: Sort by