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Praetorian
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watchdog
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watchdog
The answer is D. 2000 and 8 both go by 1,000.


(1) Let's say K is 500, thus 4K = 2000. 4K divisible by 2000. But 1000 is not a factor of 500.
(2) K = 320. K/8 = 40. Doesn't say anything about 1000 being a factor.
(combined) Since K has to be at least 2*500 = 1000, you can say 1000/8 = 125. And 1000/1000 = 1.
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Yoda
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I would pick C. Here is the reasoning:

Statement in other words: Is 2^3 x 5^3 factors of K?

1. 2^4 x 5^3 is a factor of 4k, therefore, 2^2 x 5^3 is a factor of K. -Not sufficient since we need one more 2 to affirm the statement.

2. 2^3 is a factor of K, not enough.

Having both, 2^2 x 5^3 and 2^3 as factor of k is enough to say that 2^3 x 5^3 are factors of K
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stolyar
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got C as well

(1) k=500p NOT SUFF
(2) k=8q NOT SUFF

Combine: k=LCM(500, 8)*r=1000r
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stolyar
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YES!!! :banana
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Praetorian
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stolyar
YES!!! :banana


Stolyar

can we say ,in general, that..

If two numbers are factors of k, then their LCM is also a factor of K.
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stolyar
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I think yes.
If two numbers A and B are both factors of X, then X is either LCM(A, B) itself or a multiple of LCM(A, B)



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