THE CORRECT ANSWER IS (C). STATEMENT (1) ALONE IS INSUFFICIENT BEC...
33. The correct answer is (C). Statement (1) alone is insufficient because it provides no
information about CD. Statement (2) alone is insufficient because it provides no
information about AB. Together, however, statements (1) and (2) suffice to answer the
question. Given statement (1), you can determine the circle’s circumference, which is
twice the length of two arcs created by a diameter chord. From the circumference you
can determine the circle’s diameter and compare it to the length of CD, which statement
(2) indicates is 5. (Although you don’t need to do the calculations or actually answer the
question, the circle’s circumference is twice the length of arc ACB, or 10p, and its
diameter is 10. Given that the length of CD
5
5, the length of AB
.
the length of CD,
and the answer to the question is yes.)