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  3. Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given,

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问题 Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given, and select one of the following four answer choices:
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.
选项
答案D
解析 From Figure 1, you know that PQR is a triangle and that point S is between points P and R, so PS < PR and SR < PR. You are also given that PQ = PR. However, this information is not sufficient to compare PS and SR. Furthermore, because the figure is not necessarily drawn to scale, you cannot determine the relative sizes of PS and SR visually from the figure, though they may appear to be equal. The position of S can vary along side PR anywhere between P and R. Following are two possible variations of Figure 1, each of which is drawn to be consistent with the information PQ = PR.

Note that Quantity A is greater in Figure 2 and Quantity B is greater in Figure 3.
Thus the correct answer is Choice D, the relationship cannot be determined from the information given.
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