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If k is an odd integer, which of the following must be an even integer

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If k is an odd integer, which of the following must be an even integer  [#permalink]

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New post 28 Oct 2018, 22:45
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If k is an odd integer, which of the following must be an even integer?


A. \(k^2 – 4\)

B. \(3k + 2\)

C. \(2k + 1\)

D. \(\frac{12k}{8}\)

E. \(\frac{6k}{3}\)

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Re: If k is an odd integer, which of the following must be an even integer  [#permalink]

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New post 28 Oct 2018, 22:49
Option E will be 2k. Which will always be even.

E is the answer.
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Re: If k is an odd integer, which of the following must be an even integer  [#permalink]

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New post 28 Oct 2018, 22:49
Bunuel wrote:
If k is an odd integer, which of the following must be an even integer?


A. \(k^2 – 4\)

B. \(3k + 2\)

C. \(2k + 1\)

D. \(\frac{12k}{8}\)

E. \(\frac{6k}{3}\)


\(\frac{6k}{3}\) ==> 2K Will be always even

Hence E
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Re: If k is an odd integer, which of the following must be an even integer  [#permalink]

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New post 29 Oct 2018, 08:10
Bunuel wrote:
If k is an odd integer, which of the following must be an even integer?


A. \(k^2 – 4\)

B. \(3k + 2\)

C. \(2k + 1\)

D. \(\frac{12k}{8}\)

E. \(\frac{6k}{3}\)


Plug in any value of k and check, let k = 3

(A) 5
(B) 11
(C) 7
(D) 4.5
(E) 6 , Thus Answer must be (E)
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Re: If k is an odd integer, which of the following must be an even integer  [#permalink]

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New post 29 Oct 2018, 08:55
Bunuel wrote:
If k is an odd integer, which of the following must be an even integer?


A. \(k^2 – 4\)

B. \(3k + 2\)

C. \(2k + 1\)

D. \(\frac{12k}{8}\)

E. \(\frac{6k}{3}\)


\(\frac{6k}{3}\) --- Will always be even coz 6k/3 is 2K
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Re: If k is an odd integer, which of the following must be an even integer  [#permalink]

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New post 29 Oct 2018, 16:52
Bunuel wrote:
If k is an odd integer, which of the following must be an even integer?


A. \(k^2 – 4\)

B. \(3k + 2\)

C. \(2k + 1\)

D. \(\frac{12k}{8}\)

E. \(\frac{6k}{3}\)


A, B, C. Always odd
D. Fraction.
E. 2k. Even.

E!
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Re: If k is an odd integer, which of the following must be an even integer  [#permalink]

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New post 30 Oct 2018, 18:07
Bunuel wrote:
If k is an odd integer, which of the following must be an even integer?


A. \(k^2 – 4\)

B. \(3k + 2\)

C. \(2k + 1\)

D. \(\frac{12k}{8}\)

E. \(\frac{6k}{3}\)


Since 6k/3 = 2k and 2k is a multiple of 2, then it must be even.

Answer: E
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Re: If k is an odd integer, which of the following must be an even integer &nbs [#permalink] 30 Oct 2018, 18:07
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