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GMAT PREP ..x,y,z

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Joined: 11 May 2008
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GMAT PREP ..x,y,z [#permalink]

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New post 24 Aug 2008, 00:30
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

pls explain the meaning of this to me ... could not quite get it...
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Senior Manager
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Re: GMAT PREP ..x,y,z [#permalink]

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New post 24 Aug 2008, 00:40
arjtryarjtry wrote:
pls explain the meaning of this to me ... could not quite get it...


Statement 1) xz is even which means either z is even or x is even or both are even.

If x is even and x is factor of z then z will be even

Statement 2) y is even

If y is even and factor of z then z will have to be even

IMO D)
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Re: GMAT PREP ..x,y,z [#permalink]

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New post 24 Aug 2008, 08:15
arjtryarjtry wrote:
pls explain the meaning of this to me ... could not quite get it...


D

If x is a factor of y and y is a factor of z, then z is divisible by both x and y. Said another way, z is a multiple of x and is also a multiple of y.

(1) Sufficient

If the product of two numbers is even, then at least one of the numbers is even.

Three possibilities:
z odd, x even
z even, x odd
z even, x even

From the original statement, we know that z is a multiple of x, so we can eliminate the first possibility because the multiple of an even number is always even. All the rest of the cases have z as even.

(2) Sufficient

Because z is a multiple of y, and y is even. z must be even.
Re: GMAT PREP ..x,y,z   [#permalink] 24 Aug 2008, 08:15
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