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Number properties and exponents

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by Neo Anderson » Tue Mar 06, 2012 6:58 am
X, Y and Z are all positive even integers. What could be the answer of X^2+Y^2+Z^2
as all are even integers, squaring each term will have component of 2 being squared, thus the term individually and the sum of all terms X^2+Y^2+Z^2 should be divisible by 2 squared that is 4,
among the given options, only 636 is divisible by 4. hence the answer
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