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

Question

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

Bunuel · Accepted Answer

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.

Answer: E.

P.S. You can also use number line to mark the variables and visualize it.

Ousmane · Answer

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

dave13 · Answer

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

Bunuel · Answer

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

rishabhmishra · Answer

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.

volcanictempest78 · Answer

I used the number line approach..fit each variable in number line..leave space between each.....eg u>t...then see next equation with t or u and fit accordingly in the number line...

N12 · Answer

Given that,
U>T
R>Q
S>T
T>R

Now, we can write the following:
T>R>Q

We do not know if U>S
But we can say II and III (option E).

Posted from my mobile device

bumpbot · Answer

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

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