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# The sum of five consecutive even integers is 20. What is the

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Manager
Joined: 20 May 2014
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The sum of five consecutive even integers is 20. What is the [#permalink]  12 Nov 2017, 00:26
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The sum of five consecutive even integers is 20. What is the product of the median of the series and the smallest integer in the series?

(A) 12

(B) 10

(C) 6

(D) 4

(E) 0

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[Reveal] Spoiler: OA
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Joined: 03 Sep 2017
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Re: The sum of five consecutive even integers is 20. What is the [#permalink]  12 Nov 2017, 23:52
We are asked for consecutive even numbers which sum to 20. Thus, we can generalize the sum as n+(n+2)+(n+4)+(n+6)+(n+8) = 20 because even numbers are one every two consecutive numbers. Then, we can get the value of the smallest, n, solving 5n+20 = 20, from which we get n = 0.

The product of the median times the smallest even integer, whatever is the median is 0 because the smallest integer is zero.

Re: The sum of five consecutive even integers is 20. What is the   [#permalink] 12 Nov 2017, 23:52
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