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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, 15:15
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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, 15:31
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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 \(s>u>t>r>q\) 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, 11:05
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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If u > t, r > q, s > t, and t > r, which of the following [#permalink]
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23 Feb 2018, 10:33
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. Answer: E. 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



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Re: If u > t, r > q, s > t, and t > r, which of the following [#permalink]
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23 Feb 2018, 23:48
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. Answer: E. 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 \(s>u>t>r>q\)
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Collection of Questions: PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.
What are GMAT Club Tests? Extrahard Quant Tests with Brilliant Analytics




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