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If u > t, r > q, s > t, and t > r, which of the following [#permalink]
 05 Feb 2012, 16:15
Question Stats:
91% (01:47) correct
8% (01:02) wrong based on 2 sessions
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
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Re: if u > t, r > q, s > t, and t > r, which of the following [#permalink]
05 Feb 2012, 16:31
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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>qHence, 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.
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Re: if u > t, r > q, s > t, and t > r, which of the following [#permalink]
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
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Re: if u > t, r > q, s > t, and t > r, which of the following
[#permalink]
31 Oct 2012, 12:05
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