Explanation
To understand this question without going variable-crazy,
we can draw a diagram of adding two five-digit numbers with blank spaces, like
this,
or
whatever helps to visualize the addition. We're being asked whether the digits
in the thousands position--the highlighted cells, in this figure--add up
independently. Just as we learned in grade school, it boils down to whether we
carried a 1 from adding the hundreds digits. If those digits add up to 10 or
more, then we'll carry a one and the answer to this question will be "no";
otherwise, it will be "yes." On to the data statements, separately first.
Statement (1) tells us about the wrong column. It's saying
nothing about whether the hundreds column will carry over to the thousands.
Insufficient.
Statement (2) allows us to determine that there is no
carrying of a digit to the thousands column, so we can answer the question
definitively (in the affirmative). We have sufficient information.
The correct answer is (B).
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