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Australian AMC 2015 - Senior Question 11

AMC AUSTRALIA · Australian AMC 2015 - Senior

Question 11

Let $A$ be the set $\{0,1,2\}$. Let $B$ be the set $\{3,6,x\}$, where $x$ is an integer.

I multiply each number in the first set by each number in the second set.

Let $C$ be the set of all the numbers which are the results of these multiplications.

What could $x$ be such that $C$ has exactly 5 distinct elements?
  1. 12
  2. 4
  3. 24
  4. 0
  5. 6