MathDB
Minimum Even Integers

Source: 2012 AMC 12 #5

February 23, 2012
AMC 10AMC

Problem Statement

Two integers have a sum of 2626. When two more integers are added to the first two integers the sum is 4141. Finally when two more integers are added to the sum of the previous four integers the sum is 5757. What is the minimum number of even integers among the 66 integers?
<spanclass=latexbold>(A)</span> 1<spanclass=latexbold>(B)</span> 2<spanclass=latexbold>(C)</span> 3<spanclass=latexbold>(D)</span> 4<spanclass=latexbold>(E)</span> 5{{ <span class='latex-bold'>(A)</span>\ 1\qquad<span class='latex-bold'>(B)</span>\ 2\qquad<span class='latex-bold'>(C)</span>\ 3\qquad<span class='latex-bold'>(D)</span>\ 4}\qquad<span class='latex-bold'>(E)</span>\ 5}