1、GRE（ QUANTITATIVE）综合模拟试卷 4及答案与解析 0 Evaluate the following. (a)15-(6-4)(-2) (b)(2-17)5 (c)(6012)-(-7+ 4) (d)(3)4-(-2)3 (e)(-5)(-3)- 15 (f)(-2)4(15-18)4 (g)(205)2(-2 + 6)3 (h)(-85)(0)-(-17)(3) 8 PERCENT OF FEMALE FACULTY AND PERCENT OF MALE FACULTY AT UNIVERSITY X, BY FIELD Total female faculty: 200 T
2、otal male faculty: 2509 Medium Question There are 275 students in the field of engineering at University X. Approximately what is the ratio of the number of students in engineering to the number of faculty in engineering? （ A） 8 to 1 （ B） 10 to 1 （ C） 12 to 1 （ D） 14 to 1 （ E） 20 to 1 10 Medium Ques
3、tion Approximately what percent of the faculty in humanities are male? （ A） 35% （ B） 38% （ C） 41% （ D） 45% （ E） 51% 11 Hard Question For the biological sciences and health sciences faculty combined, 1/3 of the female and 2/9 of the male faculty members are tenured professors. What fraction of all th
4、e faculty members in those two fields combined are tenured professors? 11 VALUE OF IMPORTS TO AND EXPORTS FROM COUNTRY T, 2000-200912 For which of the eight years from 2001 to 2008 did exports exceed imports by more than $5 billion? Indicate all such years. A 2001 B 2002 C 2003 D 2004 E 2005 F 2006
5、G 2007 H 2008 13 Medium Question Which of the following is closest to the average (arithmetic mean) of the 9 changes in the value of imports between consecutive years from 2000 to 2009 ? （ A） $260 million （ B） $320 million （ C） $400 million （ D） $480 million （ E） $640 million 14 Medium Question In 2
6、008 the value of exports was approximately what percent greater than the value of imports? （ A） 0.4 （ B） 0.6 （ C） 0.7 （ D） 1.2 （ E） 1.4 15 Hard Question If it were discovered that the value of imports shown for 2007 was incorrect and should have been $5 billion instead, then the average(arithmetic m
7、ean)value of imports per year for the 10 years shown would have been approximately how much less? （ A） $200 million （ B） $50 million （ C） $20 million （ D） $7 million （ E） $5 million GRE（ QUANTITATIVE）综合模拟试卷 4答案与解析 1 【正确答案】 19 2 【正确答案】 -3 3 【 正确答案】 8 4 【正确答案】 89 5 【正确答案】 0 6 【正确答案】 1296 7 【正确答案】 1024
8、 8 【正确答案】 51 9 【正确答案】 A 【试题解析】 According to the graph, 2 percent of the female faculty and 12 percent of the male faculty are in the engineering field. To determine the total number of faculty members in engineering, you need to add 2 percent of 200, which is 4, to 12 percent of 250, which is 30, to
9、 get 34. Thus, the ratio of the numbers of students to faculty in engineering is 275 to 34, which is approximately equal to 280 to 35, or 8 to 1. The correct answer is Choice A. 10 【正确答案】 E 【试题解析】 You need to determine the numbers of female and male faculty in the humanities field. According to the
10、graph, 17 percent of the 200 females, or 34, and 14 percent of the 250 males, or 35, are in humanities. Thus, the fraction of humanities faculty who are male is , or approximately 0.507. As a percent, the answer choice that is closest to 0.507 is 51 percent. The correct answer is Choice E. 11 【正确答案】
11、 24/87 【试题解析】 You need to determine the number of female faculty and the number of male faculty in the combined group. According to the graph, 5 percent of the female faculty, or 10, and 10 percent of the male faculty, or 25, are in the biological sciences. Similarly, 16 percent of the female facult
12、y, or 32, and 8 percent of the male faculty, or 20, are in the health sciences. When you combine the groups, you get a total of 42 females(10 + 32)and 45 males(25 + 20), which is a total of 87 faculty. The tenured facuhy are 1/3 of the 42 females, or 14 females, and 2/9 of the 45 males, or 10 males.
13、 Thus, there are 24 tenured faculty, and the fraction that are tenured professors is 24/87 . The correct answer is 24/87(or any equivalent fraction). 12 【正确答案】 A， B， C， F， G， H 【试题解析】 Note that for all years shown, the dollar value of exports is greater than the dollar value of imports. For each yea
14、r, the difference between the dollar value of exports and the dollar value of imports can be read directly from the graph. The difference was more than $5 billion for each of the years 2001, 2002, 2003, 2006, 2007, and 2008. The correct answer consists of Choices A, B, C, F, G, and H. 13 【正确答案】 E 【试
15、题解析】 The average of the 9 changes in the value of imports between consecutive years can be represented as follows, where the function v(year) represents the value of imports for the indicated year.Note that in the numerator of the fraction, each term, with the exception of v(2000) and v(2009), appea
16、rs first as positive and then again as negative. The positive and negative pairs sum to 0, and the fraction simplifies to . Reading the values from the graph, you can approximate the value of the simplified fraction as 0.644 billion dollars. The answer choice that is closest to $0,644 billion is $64
17、0 million. The correct answer is Choice E. 14 【正确答案】 E 【试题解析】 The difference between the value of exports and the value of imports expressed as a percent of the value of imports is In 2008 the value of imports was approximately $5 billion and the value of exports was approximately $12 billion, so th
18、e value of the fraction is approximately , or 7/5. Since the fraction is greater than 1, expressing it as a percent will give a percent greater than 100. The fraction is equal to 1.4, or 140 percent. The correct answer is Choice E. 15 【正确答案】 A 【试题解析】 To answer this question, you do not need to compu
19、te either of the two 10-year averages referred to in the question; you just need to calculate the difference between the two averages. The average value of imports for the 10 years shown in the graph is found by adding the 10 values and then dividing the sum by 10. The value of imports in 2007 is $7
20、 billion. If that amount were $5 billion instead, then the sum of the values would be $2 billion less. If the sum were $2 billion less than what it was, then the average would decrease by 2 billion divided by 10, or = 200,000,000. The average would therefore be $200 million less, and the correct ans
21、wer is Choice A. A more algebraic approach to the problem is to let S represent the sum, in billions, of the 10 values of imports in the graph. The average of the 10 values is S/10. Note that S - 2 represents the sum, in billions, of the 10 values adjusted for the $2 billion correction for 2007. The average of the adjusted sum is . The difference between the two averages is The difference is 0.2 billion dollars, or $200 million. The correct answer is Choice A.
