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If m is an even integer, then which of the following is the sum of the

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Carcass
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If m is an even integer, then which of the following is the sum of the [#permalink] New post   03 Dec 2021, 06:29
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If m is an even integer, then which of the following is the sum of the next two even integers greater than 4m + 1?

(A) 8m + 2
(B) 8m + 4
(C) 8m + 6
(D) 8m + 8
(E) 8m + 10
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C
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Re: If m is an even integer, then which of the following is the sum of the [#permalink] New post   03 Dec 2021, 06:57
Carcass wrote:
If m is an even integer, then which of the following is the sum of the next two even integers greater than 4m + 1?

(A) 8m + 2
(B) 8m + 4
(C) 8m + 6
(D) 8m + 8
(E) 8m + 10

Since 4 is even, we know that 4m is EVEN, which means 4m + 1 is ODD.

So, the first even integer after 4m + 1 will be (4m + 1) + 1 (aka 4m + 2)
The next even integer after 4m + 2 will be (4m + 2) + 2 (aka 4m + 4)

So, the sum of the next two even integers greater than 4m + 1 = (4m + 2) + (4m + 4) = 8m + 6

Answer: C
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Re: If m is an even integer, then which of the following is the sum of the [#permalink]
03 Dec 2021, 06:57
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