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28 Jan 2022, 02:21
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
75%
(hard)
Question Stats:
53% (02:02) correct
47%
(01:49)
wrong
based on 128
sessions
History
Date
Time
Result
Not Attempted Yet
If \(a\) is a positive integer, \(k\) and \(m\) are integers, and \(k > m\), is \(a^k > a^m\) ?
(1) \(a^k < 1\)
(2) \(a^m < 1\)
(1) \(a^k < 1\)
(2) \(a^m < 1\)
a is a positive integer, k and m are integers. If k>m, is a^k>a^m?
(1) a^k<1
(2) a^m<1
(1) a^k<1
(2) a^m<1
kungfury42
Joined: 07 Jan 2022
Last visit: 31 May 2023
Posts: 580
Given Kudos: 725
Schools: NUS '25 (A)
GMAT 1: 740 Q51 V38
GPA: 4
Products:
06 Feb 2022, 13:23
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Bunuel
Bunuel
If \(a\) is a positive integer, \(k\) and \(m\) are integers, and \(k > m\), is \(a^k > a^m\) ?
(1) \(a^k < 1\)
(2) \(a^m < 1\)
(1) \(a^k < 1\)
(2) \(a^m < 1\)
a is a positive integer, k and m are integers. If k>m, is a^k>a^m?
(1) a^k<1
(2) a^m<1
(1) a^k<1
(2) a^m<1
Bumping!!! Knockout this one and get KUDOS for a correct solution!!!
If \(a\) is a positive integer, \(k\) and \(m\) are integers, and \(k > m\), \(a^k\) will always be greater than \(a^m\) unless \(a=1\)
Thus if we can somehow prove that \(a≠1\), we can answer this question.
Statement 1: \(a^k < 1\)
Had \(a\) been equal to \(1\), \(a^k\) would be equal to \(1\). But since \(a^k\) is less than \(1\), clearly \(a≠1\)
Statement 2: \(a^m < 1\)
Had \(a\) been equal to \(1\), \(a^m\) would be equal to \(1\). But since \(a^m\) is less than \(1\), clearly \(a≠1\)
Using both the statements individually we can say that \(a≠1\) and since we know that \(a\) is a positive integer and \(k\) and \(m\) are integers such that \(k>m\), \(a^k\) will always be greater than \(a^m\). Hence, option D.
Posted from my mobile device
04 Jun 2025, 15:45
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Hello from the GMAT Club BumpBot!
Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
