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# K=(X^3)(Y^2)(Z), X, Y and Z represent three different prime

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Senior Manager
Joined: 08 Aug 2005
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K=(X^3)(Y^2)(Z), X, Y and Z represent three different prime [#permalink]  06 May 2006, 04:30
K=(X^3)(Y^2)(Z), X, Y and Z represent three different prime number, is K an odd number?

1). X, Y, and Z>5
2). X+Y+Z=odd
Manager
Joined: 05 Dec 2005
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D.

Stmt 1. All three are odd. So, looking at K, any ODD X ODD will be ODD, so:
K = (ODD)(ODD)(ODD) = ODD

Stmt 2. We know that if 2 is one of the prime numbers used for X, Y, or Z, then it would add to an EVEN number. This is not the case. X, Y, and Z must be prime numbers greater than 2, so ODD + ODD + ODD = ODD. So all three are ODD and then we're back to K = (ODD)(ODD)(ODD) = ODD
VP
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Agreed its D...

Essentially both rules out the possibility of 2!
Manager
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Yes. D is the required answer.
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Manager
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Agree with D
VP
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Re: Is K an odd number [#permalink]  06 May 2006, 17:12
getzgetzu wrote:
K=(X^3)(Y^2)(Z), X, Y and Z represent three different prime number, is K an odd number?

1). X, Y, and Z>5
2). X+Y+Z=odd

D. yah, good one... remember all primes are not odd.
Re: Is K an odd number   [#permalink] 06 May 2006, 17:12
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