Explanation
If we call the amount of new investment x (that's for both new investments),
then we want to know if $26,000+x is
small enough for the average to be less than $1,200. After the addition, there
are 25 investments, so the average formula gives us the following as the
question we are being asked:
In other words, if the total amount of the two new
investments is less than $4,000, the answer to the question is "yes," and
otherwise it's "no." Let's turn to the data statements, separately first.
Statement (1) tells us that each new investment was more
than $1,000. Case I: each investment was $1,500. The total of the two is
$3,000, which is less than $4,000, so the answer to the question is "yes." Case
II: each investment was $10,000. This is a legal case, by the data statement,
and generates an opposite answer, so Statement (1) is insufficient.
Statement (2) tells us that each new investment was less
than $1,500. That means their sum is less than $3,000, which means that their
sum is less than $4,000. So the answer to the question is definitively "yes,"
and Statement (2) is sufficient.
The correct answer is (B).
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