The following data sufficiency problems consist of a question and two statements

游客2024-01-14  19

问题 The following data sufficiency problems consist of a question and two statements, labeled (1) and (2), in which certain data are given. You have to decide whether the data given in the statements are sufficient for answering the question. Using the data given in the statements plus your knowledge of mathematics and everyday facts (such as the number of days in July or the meaning of counterclockwise), you must indicate whether
   A.  Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
   B.  Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
   C.  BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
   D.  EACH statement ALONE is sufficient.
   E.  Statements (1) and (2) TOGETHER are NOT sufficient. [br] The figure above shows the shape of a brick patio. If arc AB is a semicircle and ABCD is a square, what is the perimeter of the patio?
   (1) The radius of the semicircle described by arc AB is 4.
   (2) The perimeter of the square ABCD is 32.

选项

答案 D

解析 alone is sufficient because the radius of the semicircle is sufficient to give both the circumference of the semicircle (πr) and the length of one of the sides of the square (2r). The perimeter of the whole unit then is the circumference of the semicircle plus the lengths of three sides of the square. (2) alone is sufficient, because the perimeter of the square is sufficient to give the length of a side (P/4), and then the radius of the semicircle is half of the length of a side of the square.
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