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ahmadhona
If x is a multiple of 9 and of 21, then x must also be a multiple of which of the following?

I. 7

II. 63

III. 189


A. II only
B. III only
C. I and II
D. II and III
E. I, II, and III

\(x = 9k\) (k is a positive integer)
\(x = 21m\) (m is a positive integer)

Therefore x is a multiple of LCM of 9 and 21

\(x = 63n\) (n is a positive integer)

Therefore if x is a multiple of 63, it will definitely be a multiple of 7 as well but not necessarily of 189

So, I and II

Answer: C
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