Solution:

We need to determine the slope of line segment OQ, given that OP has slope 1/2 and PQ has slope 2. Notice that if we know or can determine the coordinates of point Q, then we can determine the slope of OQ since point O is the origin.

Statement One Alone:

From the information, we can determine the coordinates of point P. However, even if we can determine coordinates of point P, we can’t determine the coordinates of point Q since there are many possible coordinates for Q such that PQ has slope 2. Statement one alone is not sufficient.

Statement Two Alone:

Since we know the coordinates of Q, we see that the slope of OQ is (4 - 0) / (5 - 0) = 4/5. Statement two alone is sufficient.

Answer: B
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I selected D because I misread Statement I to say that OQ (instead of OP)h as length 5 root 2.

In that case, would I have been correct?