Question 976005
2*A = 4*B
A = 2*B


the last equation implies that A is larger than B, but it's actually the other way around.


So choice A is false.


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"A is a factor of B" means 
B = k*A
where k is some integer


Eg: B = 2*A or B = 7*A


Since A,B,C are positive, and because A is a factor of B, this makes A < B


A < B
A*C < B*C
BC > AC


So choice B is true.


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B = k*A
B*C = k*A*C
BC = (k*C)*A


so that proves BC is a multiple of A. Put another way, A is a factor of BC


That makes choice C true.


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"AC is a factor of B" is only true if C is also a factor. But we don't know if C is a factor of B or not. So we can't say it's true.


Therefore, choice D is false.


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This is similar to choice D. We would have to know if C is factor of either A or  B. But we're not given this info.


Choice E is false.

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The only true statements are 
(B) BC > AC
(C) BC is a multiple of A


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