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15 Jul 2015, 03:12
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
35%
(medium)
Question Stats:
73% (01:38) correct
27%
(02:21)
wrong
based on 474
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If a is a positive integer then \(3^{(2a)} + \frac{36^a}{2^{(2a)}} =\)
A. \((\frac{9}{4})^a + 9^a\)
B. \(9^a + 18^a\)
C. \(18^a\)
D. \(0\)
E. \(2*9^a\)
A. \((\frac{9}{4})^a + 9^a\)
B. \(9^a + 18^a\)
C. \(18^a\)
D. \(0\)
E. \(2*9^a\)
ENGRTOMBA2018
Joined: 20 Mar 2014
Last visit: 01 Dec 2021
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Concentration: Finance, Strategy
Schools: Kellogg '18 (M)
GMAT 1: 750 Q49 V44
GPA: 3.7
WE:Engineering (Aerospace and Defense)
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15 Jul 2015, 04:36
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Bunuel
If a is a positive integer then 3^(2a) + 36^a/2^(2a) =
A. (9/4)^a + 9^a
B. 9^a + 18^a
C. 18^a
D. 0
E. 2 × 9^a
Kudos for a correct solution.
A. (9/4)^a + 9^a
B. 9^a + 18^a
C. 18^a
D. 0
E. 2 × 9^a
Kudos for a correct solution.
I am quoting the same question with a bit more formatting:
\(3^{2a} + \frac{36^a}{2^{2a}}\) ----> Let go of the variables and plug in a =1 as this statement must be true for all values of a (even 0).
Thus with a =1 we get, \(3^{2} + \frac{36^1}{2^{2}}\) = 2* 9 =18---> Now plug in a =1 in the options and we see that options C and E satisfy this. To eliminate C, use a =0. Thus E is the correct answer.
General Discussion
15 Jul 2015, 04:06
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3^(2a) + 36^a/2^(2a) = 9^a + (9^a*4^a/ 4^a) = 9^a + 9^a = 2*9^a
