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GMAT Prep?? (Factors)

Expert replies
Source: — Data Sufficiency |

by moneyman » Thu May 08, 2008 5:41 am
Is it D?
Maxx
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by dferm » Thu May 08, 2008 7:04 am
Yes
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by AleksandrM » Thu May 08, 2008 9:43 am
The foundation rule here is that if x is a factor of y and y is a factor of z then x is also a factor of z. Now, you also know that y is bigger than x and z is either bigger than xy or equals to it.

Statement one tells you that xz is even. This means that one of the numbers is even. However, you also know that x is a factor of y. So if x is 3 and y is 9, then z MUST be even, or 18, for example. Sufficient.

Statement two tells you that y is even. If y is 6 and x is any odd integer, when you multiply them together, the result is always even. Now, z can have other factors, and all of them can be odd. As long as one of the factors is even, z MUST be even. Sufficient.

Choose D.
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by qwe12 » Tue Jul 28, 2009 2:38 am
let p and q be 2 constants

question says

p.x = y
q.y = z

q(p.x) = z
qp.x = z

let qp = some constant m

mx = z

now, evaluate the options

1) xz = even

(z/m).z = even

z.z = even * m
z.z = even

therefore z = even. SUFFICIENT

2) y = even

we know, q.y = z, q.even = even

so z = even. SUFFICIENT.

(D)
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