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

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

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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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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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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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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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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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Posts: 38
Re: If k is an odd integer, which of the following must be an even integer  [#permalink]

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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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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.

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

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