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

游客2025-02-27 15

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] In the figure above, what is the length of RT?
(1) RU=5
(2) RS=12

选项

答案 E

解析 Statement (1) is not sufficient on its own, since you can never solve for one side of a triangle given only one other side. Let’s eliminate A and D. Statement (2) is not sufficient for the same reason, so we can eliminate B. Putting the statements together, it appears that we have enough information to solve for the diagonal of the rectangle (also known as hypotenuse of a right triangle).., except that we don’t have any indication that the figure is actually a rectangle. So the statements are still not sufficient and the answer is E.

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