Explanation
The question asks for the capacity of a container. This
sounds like it might be a geometry question, but glancing at the data
statements, we can see that they don't give us dimensions of the container, but
rather proportional information about its volume. Let's go to the statements,
evaluating them separately first.
Statement (1) tells us that the container currently holds
12 liters of fluid. The (total) capacity of the container could be 12 and it
could be full; or, in another allowed case, the capacity could be greater and
the container could be partly full. If we knew how full 12 liters was, we could
infer the capacity, but we don't have that info. So Statement (1) is
insufficient.
Statement (2) tells us, if we consider the capacity in
liters C, that
On the right side, the "amount of water in the bucket" is
, and it increases by
, so it scales by
. We have a single linear equation with one
variable, so we'll be able to solve for C. Statement (2) is sufficient.
The correct answer is (B).
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