[外语类试卷]GMAT（QUANTITATIVE）数学练习试卷2及答案与解析.doc

1、GMAT（ QUANTITATIVE）数学练习试卷 2及答案与解析 一、 QUANTITATIVE 1 The sum of the non-prime numbers between 40 and 50, non-inclusive, is （ A） 131 （ B） 176 （ C） 274 （ D） 405 （ E） 495 2 If x=-2, what is the value of 4x3? （ A） -32 （ B） -24 （ C） -8 （ D） 8 （ E） 32 3 （ A） 21/58 （ B） 58/21 （ C） 21 （ D） 42 （ E） 58 4 What

2、is the decimal equivalent of (1/4)2 ? （ A） 0.0016 （ B） 0.0625 （ C） 0.16 （ D） 0.25 （ E） 0.5 5 What is the smallest integer k for which 64k 414? （ A） 4 （ B） 5 （ C） 6 （ D） 7 （ E） 8 6 If x=-3, then （ A） -2 （ B） -1 （ C） 2011-1-2 （ D） 1 （ E） 2 7 If (x-1)2=144, which of the following could be the value of

3、2x? （ A） -26 （ B） -22 （ C） -11 （ D） 12 （ E） 13 8 How many different positive integers are factors of 342? （ A） 9 （ B） 11 （ C） 12 （ D） 20 （ E） 22 9 If 27P32=3498 , what is the value of p? （ A） 3 （ B） 6 （ C） 8 （ D） 15 （ E） 16 10 200 is what percent of 40? （ A） 0.2% （ B） 2% （ C） 5% （ D） 20% （ E） 500% 1

4、1 If f and g are distinct prime numbers less than 10, which of the following cannot be the product of f and g? （ A） 6 （ B） 9 （ C） 10 （ D） 14 （ E） 15 12 What percent of 180 is 45? （ A） 0.25% （ B） 4% （ C） 25% （ D） 40% （ E） 250% 13 （ A） 0.125 （ B） 0.25 （ C） 0.625 （ D） 12.5 （ E） 25 14 How many positive

5、factors do 180 and 96 have in common? （ A） 6 （ B） 12 （ C） 16 （ D） 18 （ E） 24 15 Which of the following is the closest approximation of ? 16 Which of the following is equal to the cube of a non-integer? （ A） -64 （ B） -1 （ C） 8 （ D） 9 （ E） 27 16 The following data sufficiency problems consist of a que

6、stion 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 d

7、ays in July or the meaning of counter- clockwise), you must indicate whether . Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. . Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. . BOTH statements TOGETHER are sufficient, but NEITHER statemen

8、t ALONE is sufficient. . EACH statement ALONE is sufficient. . Statements (1) and (2) TOGETHER are NOT sufficient. 17 If , what is the value of r? (1) r2=625 (2) t/s=5 18 Is ab 2? (1) a=2 (2) 0a/b1 19 Is f g? (1) f g+1 (2) 20 What is the value of 12/5p? (1) p 0 (2) p2-9=0 GMAT（ QUANTITATIVE）数学练习试卷 2

9、答案与解析 一、 QUANTITATIVE 1 【正确答案】 C 【试题解析】 The non-prime numbers between 40 and 50 are 42, 44, 45, 46, 48, and 49. (Remember, the non-inclusive means we dont include the 40 and 50.) Add them all up and we get 274. 2 【正确答案】 A 【试题解析】 Remember to follow the order of operations and cube -2 first to give yo

10、u -8; then multiply by 4 and you get -32. 3 【正确答案】 D 【试题解析】 To divide by a fraction, just flip the top and bottom and multiply. So turns into (37)+(73), or 21+21, which gives us 42. 4 【正确答案】 B 【试题解析】 To square a fraction, we have to square both the numerator and the denominator, which gives us 1/16.

11、 If you want to avoid the long division, you can just divide 1 by 2, which gives you 1/2 or 0.5. Divide again and you get 1/4 or 0.25. Keep going until you get to 1/16 or 0.0625. 5 【正确答案】 B 【试题解析】 If we dont want to do a lot of calculations, were going to have to manipulate the exponents. The first

12、step is to put the 64 and the 4 in the same terms, so lets make the 64=43 instead. Now the question is looking for the smallest integer k for which 43k 414, which is the same as finding the smallest integer k for which 3k 14. The best answer is 5, or B. 6 【正确答案】 D 【试题解析】 Be sure to follow the order

13、of operations and plug in -3 for x. The equation becomes which becomes 6/6 or 1. 7 【正确答案】 B 【试题解析】 Since there are only two possible values of 2x, its easiest to start with them and find one that is also in the answer choices. Since (x-1)2 could equal either 12 or -12, x could equal 13 or -11, which

14、 means that 2x could equal either 26 or -22. Of the answers, only B will work. 8 【正确答案】 C 【试题解析】 From the answers we can see that the list of factors will be relatively small, so its easiest just to list them out. The pairs of factors are 1 and 342, 2 and 171, 3 and 114, 6 and 57, 9 and 38, and 18 a

15、nd 19. That makes 12 factors. 9 【正确答案】 B 【试题解析】 Once we simplify 27P32=3498, we get(33)p32=34(32)8, or 33p32=34316. That is the same as 3p+2=4+16, so p must equal 6. 10 【正确答案】 E 【试题解析】 We can take this question directly into an equation, which would look like When we solve, we get 500, choice E. 11

16、【正确答案】 B 【试题解析】 The prime factors less than 10 are 2, 3, 5, and 7, so the product of any two of those cannot be correct. That eliminates choice A (the product of 2 and 3), C (the product of 2 and 5), D (the product of 2 and 7), and E (the product of 3 and 5). Since 9 is the product of 3 and 3, which

17、 are not distinct (or 1 and 9, which are not prime), B is the correct answer. 12 【正确答案】 C 【试题解析】 This question can also be put directly into equation form: . When we solve, we get 0.25, choice C. 13 【正确答案】 A 【试题解析】 Simplifying gives us (0.5)3, which is 0.125. 14 【正确答案】 A 【试题解析】 The positive factor p

18、airs for 180 are: 1 and 180, 2 and 90, 3 and 60, 4 and 45, 5 and 36, 6 and 30, 9 and 20, 10 and 18, and 12 and 15. The positive factor pairs for 96 are: 1 and 96, 2 and 48, 3 and 32, 4 and 24, 6 and 16, and 8 and 12. They have 1, 2, 3, 4, 6, and 12 in common for a total of 6 factors. 15 【正确答案】 C 【试题

19、解析】 Approximating the equation gives us , which simplifies to 1/2. 16 【正确答案 】 D 【试题解析】 Of the answer choices, only 9 is not a “perfect“ cube, which means that its cube root is a non-integer. 17 【正确答案】 D 【试题解析】 Statement (1) tells us that r=25 or -25, but when you look at the question stem, the radic

20、al sign for r is present, which only allows for a positive root. So . Therefore statement (1) is sufficient and we can eliminate B, C, and E. Statement (2) also gives us enough information to solve for r. If we rearrange the equation in the question stem, we can get t on one side, giving us . So sta

21、tement (2) is also sufficient, and our answer is D. 18 【正确答案】 C 【试题解析】 Statement (1) does not give us a definite yes or no answer, because b could be a lot of different numbers. So we can eliminate A and D. Statement (2) is also not sufficient, as a and b could equal 1 and 2, or 0.5 and 2, or 2 and

22、4, or an infinite number of other variations in which a is smaller than b. So B is not correct. Putting them together, we know that a=2, and b must be larger than a to satisfy statement (2). ab then must be larger than 2 and the answer to the question is definitely yes. C is the correct answer. 19 【

23、正确答案】 E 【试题解析】 Statement (1) is not sufficient because f could be less than g or it could just be g+0.5. We can cross off A and D. Statement (2) is not sufficient because while the absolute value of f must be less than the absolute value of g, the actual value of g could still be negative while f co

24、uld be positive. The statement doesnt give us enough information, so we can eliminate B. Putting the statements together doesnt really give us any more information, so the correct answer is E. 20 【正确答案】 C 【试题解析】 Because statement (1) just tells us that p could be any negative number, it is not suffi

25、cient to answer the question. A and D can be eliminated. Statement (2) alone tells us that p could be either 3 or -3, which would give different values for 12/5p so it is also not sufficient and we can eliminate B. The statements together tell us that p must be -3, so we can solve for 12/5p and C is the correct answer.