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Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
If a^3 - a = b, and b is even, then b must be divisible by what number
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23 Sep 2021, 04:27
23 Sep 2021, 04:27
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66% (01:04) correct
33% (01:12) wrong based on 6 sessions
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If \(a^3 - a = b\), and \(b\) is even, then \(b\) must be divisible by what number?
(A) 1
(B) 4
(C) 6
(D) 8
(E) 10
Source: Manhattan Review, GMAT Question Bank
(A) 1
(B) 4
(C) 6
(D) 8
(E) 10
Source: Manhattan Review, GMAT Question Bank
Re: If a^3 - a = b, and b is even, then b must be divisible by what number
[#permalink]
23 Sep 2021, 13:31
23 Sep 2021, 13:31
1
motion2020 wrote:
If \(a^3 - a = b\), and \(b\) is even, then \(b\) must be divisible by what number?
\(a^3 - a = a(a^2 -1) = a(a+1)(a-1) = (a-1) a (a+1) = b\)
So product of 3 consecutive numbers are divisible by 2 and 3 at least.
Answer is C)6
gmatclubot
Re: If a^3 - a = b, and b is even, then b must be divisible by what number [#permalink]
23 Sep 2021, 13:31
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