Data Sufficiency (DS) | Re: If a, b and c are integers, is 3c/2 an integer?

Prob : 3C/2 is Int. ?
For 3C/2 to be an integer, C should be a multiple of 2.
Therefore, our Effective Prob Reduces to is C a multiple of 2 ?

Now analyzing the statements.
Statement 1:
ac/2 = 3k, where K is any factor.
This tells us that ac=3x2xk i.e. axc is a multiple of 3 & 2.
No information regarding c. HenceInsufficient !

Statement 2:
bc/3 = 2u, where u is any factor.
This tells us that bc=3x2xu i.e. bxc is a multiple of 3 & 2.
No information regarding c. HenceInsufficient !

Now
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