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Set C is made up of a series of consecutive integers whose sum is a positive even number.

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Set C is made up of a series of consecutive integers whose sum is a positive even number. If the smallest number in the set is —2, what is the least possible number of integers that could be in the set?

A) 4
B) 5
C) 6
D) 7
E) 8

Official Answer

1 Best Answer

flamingo
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Best answer

Let us write down all the numbers, we need a postive even integer as sum

 

Count Numbers Sum
1 -2 -2
2 -2,-1 -3
3 -2,-1,0 -3
4 -2,-1,0,1 -2
5 -2,-1,0,1,2 0
6 -2,-1,0,1,2,3 3<Not even>
7 -2,-1,0,1,2,3,4 7<Not even>
8 -2,-1,0,1,2,3,4,5 12 < Bingo > 

 

answered Jul 1, 2014 by Guru (5,599 points)
selected Jul 2, 2014 by
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