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If u > t, r > q, s > t, and t > r, which of the following [#permalink]
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 05 Feb 2012, 16:15
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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]
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05 Feb 2012, 16:31
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. 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]
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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]
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26 Dec 2015, 01:14
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Re: If u > t, r > q, s > t, and t > r, which of the following
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26 Dec 2015, 01:14
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