Hi All,

The wording of this question is a bit 'quirky', but the math behind it is just basic Arithmetic. We're told that there are 18 cans of soda and that some of the cans contain diet soda. In basic terms, this means:

(# of Diet Cans) + (# of Non-Diet Cans) = 18

We're asked for the number of Non-Diet Cans.

1) Of the cans Bob purchased, the number containing diet soda is equal to the number not containing diet soda.

With this Fact, we know that there are the SAME number of each soda, so since there are 18 total cans, then there must be 9 of each.

Fact 1 is SUFFICIENT

2) Of the cans Bob purchased, the number containing diet soda is odd

Since there are 18 total cans, the number of Diet Cans could be 1, 3, 5, 7, etc., which means that the number of Non-Diet Cans could be 17, 15, 13, 11, etc.

Fact 2 is INSUFFICIENT

Final Answer:

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Rich

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