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17 Mar 2014, 00:20
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
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Question Stats:
92% (00:55) correct
8%
(01:02)
wrong
based on 2013
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If n is a positive integer and k + 2 = 3^n, which of the following could NOT be a value of k ?
(A) 1
(B) 4
(C) 7
(D) 25
(E) 79
(A) 1
(B) 4
(C) 7
(D) 25
(E) 79
17 Mar 2014, 00:20
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SOLUTION
If n is a positive integer and k + 2 = 3^n, which of the following could NOT be a value of k ?
(A) 1
(B) 4
(C) 7
(D) 25
(E) 79
Substitute the answer choices for k:
(A) If k = 1, then 3^n = 1 + 2 = 3^1.
(B) If k = 4, then 3^n = 4 + 2 = 6. NOT a power of 3.
(C) If k = 7, then 3^n = 7 + 2 = 3^2.
(D) If k = 25, then 3^n = 25 + 2 = 3^3.
(E) If k = 79, then 3^n = 79 + 2 = 3^4.
Answer: B.
If n is a positive integer and k + 2 = 3^n, which of the following could NOT be a value of k ?
(A) 1
(B) 4
(C) 7
(D) 25
(E) 79
Substitute the answer choices for k:
(A) If k = 1, then 3^n = 1 + 2 = 3^1.
(B) If k = 4, then 3^n = 4 + 2 = 6. NOT a power of 3.
(C) If k = 7, then 3^n = 7 + 2 = 3^2.
(D) If k = 25, then 3^n = 25 + 2 = 3^3.
(E) If k = 79, then 3^n = 79 + 2 = 3^4.
Answer: B.
28 Aug 2016, 20:46
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One way to solve this problem. Since n is a pos int., this means that 3^n will always be odd (note that this is true even if n =0). Also 3^n-2 will always be odd since odd - even is always odd. So even values are not possible. Take out 4 since it could never be possible and that is our answer given the question
