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Number properties and exponents

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Mr.Hollywood Rising GMAT Star
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Number properties and exponents Post Tue Mar 06, 2012 1:50 am
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  • 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 Default Avatar
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    Post 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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