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Number properties and exponents

tagged by: Mr.Hollywood

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Mr.Hollywood Rising GMAT Star
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Number properties and exponents Tue Mar 06, 2012 1:50 am
Elapsed Time: 00:00
• Lap #[LAPCOUNT] ([LAPTIME])
X, Y and Z are all positive even integers. What could be the answer of X^2+Y^2+Z^2

A) 234
B) 138
C) 862
D) 636

Does anybody have a clue how to approach or solve this?

Thank you!

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Neo Anderson Rising GMAT Star
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Tue Mar 06, 2012 7:58 am
Quote:
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

Thanked by: sshireesha, Mr.Hollywood

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