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14 Apr 2017, 21:37
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Difficulty:
5%
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Question Stats:
88% (00:50) correct
12%
(01:37)
wrong
based on 116
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What is the largest integer \(k\) for which \(81^k < 3^{27}\)?
A. 6
B. 7
C. 8
D. 9
E. 10
Source: GMAT Free
A. 6
B. 7
C. 8
D. 9
E. 10
Source: GMAT Free
0akshay0
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Schools: Jindal '20 Kelley '20 Broad '20 Carey '20 Mays '20
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Schools: Jindal '20 Kelley '20 Broad '20 Carey '20 Mays '20
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Posts: 203
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15 Apr 2017, 00:58
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nguyendinhtuong
What is the largest integer \(k\) for which \(81^k < 3^{27}\)?
A. 6
B. 7
C. 8
D. 9
E. 10
Source: GMAT Free
A. 6
B. 7
C. 8
D. 9
E. 10
Source: GMAT Free
\(81^k < 3^{27}\)
\(3^{4k} < 3^{27}\)
4k < 27
k must be 6
Hence option A is correct
Hit Kudos if you liked it
14 Jun 2017, 09:27
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nguyendinhtuong
What is the largest integer \(k\) for which \(81^k < 3^{27}\)?
A. 6
B. 7
C. 8
D. 9
E. 10
Source: GMAT Free
A. 6
B. 7
C. 8
D. 9
E. 10
Source: GMAT Free
\(81^k < 3^{27}\)
Or, \(3^{4k} < 3^{27}\)
Or, \(4k < 27\)
Or, \(k < \frac{27}{4}\)
Or, \(k < 6.75\)
So, The largest integer value will be (A) 6
