Question

Each of the questions below is followed by two statements, labeled (1) and (2), in which certain data is given. In these questions you do not actually have to compute an answer, but rather decide whether the data given in the statements are sufficient for answering the question.

Q22. Q and P are the centres of the arcs. What is the length of ACDEB? (1) QE = 6½ cm (2) QP = DA

• A. (a) Statement (1) alone is sufficient but statement, (2) alone is not sufficient to answer the question asked.
• B. (b) Statement (2) alone is sufficient but statement, (1) alone is not sufficient to answer the question asked.
• C. (c) Each statement is sufficient by itself to answer the questions asked
• D. (d) Statement (1) and (2) together are not sufficient to answer the question asked. Additional data specific to the problem are needed.

Answer 1

The correct option is C

(c) Each statement is sufficient by itself to answer the questions asked

Knowing statement (2) enables us to determine the radii of the semicircle to be equal. (Subtract DP from each side of the equation QD + DP = DP + PA. knowing the length of the radius from statement (1) enables us to find the circumference of the arcs.