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21 Oct 2018, 22:04
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
62% (01:58) correct
38%
(01:49)
wrong
based on 470
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Not Attempted Yet
In which of the following choices must a be less than b?
(A) \(4^{(-2b)} = 4^{(-a)}\)
(B) \(-4^b < 4^a\)
(C) \(4^{(-b)} < 4^{(-a)}\)
(D) \(4^{(-b)} > 4^{(-a)}\)
(E) \(4^{(-b)} = 4^{(-2a)}\)
(A) \(4^{(-2b)} = 4^{(-a)}\)
(B) \(-4^b < 4^a\)
(C) \(4^{(-b)} < 4^{(-a)}\)
(D) \(4^{(-b)} > 4^{(-a)}\)
(E) \(4^{(-b)} = 4^{(-2a)}\)
21 Oct 2018, 22:13
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Bunuel
In which of the following choices must a be less than b?
(A) \(4^{(-2b)} = 4^{(-a)}\)
(B) \(-4^b < 4^a\)
(C) \(4^{(-b)} < 4^{(-a)}\)
(D) \(4^{(-b)} > 4^{(-a)}\)
(E) \(4^{(-b)} = 4^{(-2a)}\)
(A) \(4^{(-2b)} = 4^{(-a)}\)
(B) \(-4^b < 4^a\)
(C) \(4^{(-b)} < 4^{(-a)}\)
(D) \(4^{(-b)} > 4^{(-a)}\)
(E) \(4^{(-b)} = 4^{(-2a)}\)
Let's check each options:-
(A) \(4^{(-2b)} = 4^{(-a)}\); a=2b, we can't conclude from here. DISCARD
(B) \(-4^b < 4^a\) or,\(4^a+4^b>0\);we can't conclude from here. DISCARD
(C) \(4^{(-b)} < 4^{(-a)}\) Or, \(4^b>4^a\) or, \(4^{b-a}>4^0\) or, b-a>0 or, b>a . This is our ANSWER.
Ans. (C)
VaCeFe
Joined: 15 Oct 2018
Last visit: 03 Jun 2021
Posts: 13
Own Kudos:
Given Kudos: 27
Schools: Trinity MBA '20 (A)
22 Oct 2018, 11:33
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Bunuel
In which of the following choices must a be less than b?
(A) \(4^{(-2b)} = 4^{(-a)}\)
(B) \(-4^b < 4^a\)
(C) \(4^{(-b)} < 4^{(-a)}\)
(D) \(4^{(-b)} > 4^{(-a)}\)
(E) \(4^{(-b)} = 4^{(-2a)}\)
(A) \(4^{(-2b)} = 4^{(-a)}\)
(B) \(-4^b < 4^a\)
(C) \(4^{(-b)} < 4^{(-a)}\)
(D) \(4^{(-b)} > 4^{(-a)}\)
(E) \(4^{(-b)} = 4^{(-2a)}\)
Why E is wrong? From E : b = 2a; b always gonna be greater than a
