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If n is an integer and n^3 is an odd integer, which one of the followi
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26 Nov 2021, 06:14
26 Nov 2021, 06:14
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If n is an integer and n^3 is an odd integer, which one of the following expressions is an even integer?
(A) \(2n^2 + 1\)
(B) \(n^4\)
(C) \(n^2 + 1\)
(D) \(n(n + 2)\)
(E) \(n\)
(A) \(2n^2 + 1\)
(B) \(n^4\)
(C) \(n^2 + 1\)
(D) \(n(n + 2)\)
(E) \(n\)
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Re: If n is an integer and n^3 is an odd integer, which one of the followi
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26 Nov 2021, 06:19
26 Nov 2021, 06:19
Carcass wrote:
If n is an integer and n^3 is an odd integer, which one of the following expressions is an even integer?
(A) \(2n^2 + 1\)
(B) \(n^4\)
(C) \(n^2 + 1\)
(D) \(n(n + 2)\)
(E) \(n\)
(A) \(2n^2 + 1\)
(B) \(n^4\)
(C) \(n^2 + 1\)
(D) \(n(n + 2)\)
(E) \(n\)
When it comes to Integer Property questions, we can often answer the question by testing a value that satisfies the given information.
Given: n is an integer and \(n^3\) is an odd integer
So, it could be the case that, n = 1, since \(1^3 = 1\), and 1 is odd.
Now we'll plug n = 1 into each answer choice to see which one yields and even integer.
(A) \(2(1)^2 + 1=3\) ELIMINATE
(B) \(1^4=1\) ELIMINATE
(C) \(1^2 + 1=2\) KEEP
(D) \(1(1 + 2)=3\) ELIMINATE
(E) \(1\) ELIMINATE
Answer: C
gmatclubot
Re: If n is an integer and n^3 is an odd integer, which one of the followi [#permalink]
26 Nov 2021, 06:19
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