SAT math page 860 #20 on the OG Book

If k is a positive integer, which of the following must represent an even integer that is twice the value of an odd integer?

a) 2k

b) 2k+3

c)2k+4

d)4k+1

e)4k+2

Thanks in advance!!

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- October 1st 2008, 06:15 PMfabxx[SOLVED] even integer and odd integer
SAT math page 860 #20 on the OG Book

If k is a positive integer, which of the following must represent an even integer that is twice the value of an odd integer?

a) 2k

b) 2k+3

c)2k+4

d)4k+1

e)4k+2

Thanks in advance!! - October 1st 2008, 08:31 PMfabxx
The correct answer is e). Why so? Also is this question asking for an even integer or odd integer?

- October 1st 2008, 08:35 PMicemanfan
To be clear, the question is asking for an even integer.

Let's eliminate some options. b) and d) are clearly odd integers, so they cannot be correct answers.

For a): Half of 2k is k, which may or may not be odd.

For c): Half of 2k + 4 is k+2, which may or may not be odd.

For e): Half of 4k + 2 is 2k + 1, which must be odd.

So e) is the only correct answer.