If a, b and c are even integers, which of the following could be the value of a^2 + b^2 + c^2?
Choose the most appropriate option:
A) a)82 B) b)84 C) c)85 D) d)87 E) e)90
a, b and c are even integers which means that, supposing that x, y and z are integers, then a=2x, b=2y and c=2z   Therefore we have: a^2+b^2+c^2=2^2*x^2+2^2*y+2^2*z=4x^2+4y^2+4z^2=4(x^2+y^2+z^2).   Which means that the total a^2+b^2+c^2 must be divisible by 4.   The only choice which is divisible by 4 is: b)84)   84=8^2+4^2+2^2   Answer: b)84.
<result>B</result>
If a, b and c are even integers, which of the following could be the value of a^2 + b^2 + c^2?