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A. x + 1...integer
B y+z/x --------------y + 1/k..........may not be an integer
C x + y/z ----------x + kl.....integer
D xy/z -----------x(kl)...........integer
E yz/x -----------z(y/x)..........z(l)........integer

Re: Number Properties [#permalink]
31 Jan 2005, 18:57

tareks wrote:

If x,y, and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is NOT necessarily an integer?

A x+z/z B y+z/x C x + y/z D xy/z E yz/x

Yup, I'm with b too.

From the statement, y/x is an integer, and x/z is an integer. All the combinations have that in one way or another except b, which has z/x. We don't know about z over x.

From the statement, y/x is an integer, and x/z is an integer. All the combinations have that in one way or another except b, which has z/x. We don't know about z over x

What a simple and quick solution. Any more examples of this?

From the statement, y/x is an integer, and x/z is an integer. All the combinations have that in one way or another except b, which has z/x. We don't know about z over x

What a simple and quick solution. Any more examples of this?