1、If a certain machine produces bolts at a constant rate, how many seconds will it take the machine to produce 300 bolts?(1) It takes the machine 56 seconds to produce 40 bolts.(2) It takes the machine 1.4 seconds to produce 1 bolt.A. Statement (1) ALONE is sufficient, but statement (2) alone is not s
2、ufficient.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.Q3:If k, m, and p are integers,
3、is k m p odd?(1) k and m are even and p is odd.(2) k, m, and p are consecutive integers.Q4:If x is the product of the positive integers from 1 to 8, inclusive, and if i, k, m, and p are positive integers such that x = 2i3k5m7p, then i + k + m + p =A. 4B. 7C. 8D. 11E. 12Q5:If a code word is defined t
4、o be a sequence of different letters chosen from the 10 letters A, B, C, D, E, F, G, H, I, and J, what is the ratio of the number of 5-letter code words to the number of 4-letter code words?A. 5 to 4B. 3 to 2C. 2 to 1D. 5 to 1E. 6 to 1Q6:If two copying machines work simultaneously at their respectiv
5、e constant rates, how many copies do they produce in 5 minutes?(1) One of the machines produces copies at the constant rate of 250 copies per minute.(2) One of the machines produces copies at twice the constant rate of the other machine.Q7:Is xy x2y2?(1) 14x2 = 3(2) y2 = 1Q8: R P QFor the cube shown
6、 above, what is the degree measure of PQR?A. 30B. 45C. 60D. 75E. 90Q9:If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n + 1)(n + 2) will be divisible by 8?A. B. C. D. E. Q10:A total of $60,000 was invested for one year. Part of this amou
7、nt earned simple annual interest at the rate of x percent per year, and the rest earned simple annual interest at the rate of y percent per year. If the total interest earned by the $60,000 for that year was $4,080, what is the value of x?(1) x = (2) The ratio of the amount that earned interest at t
8、he rate of x percent per year to the amount that earned interest at the rate of y percent per year was 3 to 2.Q11:If n and k are positive integers, is n divisible by 6?(1) n = k(k + 1)(k - 1)(2) k 1 is a multiple of 3.Q12:What was the cost of a certain telephone call?(1) The call lasted 8 minutes.(2
9、) The cost of the first minute of the call was $0.32, which was twice the cost of each minute of the call after the first.Q13:Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, were basic and the rest were deluxe. If it takes as many hours to
10、produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?Q14:99,9992 - 12 =A. 1010 - 2B. (105 2)2C. 104(105 2)D. 105(104 2)E. 105(105 2)Q15
11、:Is x2 + y2 6?(1) (x + y)2 6(2) xy = 2Q16:What is the probability that a student randomly selected from a class of 60 students will be a male who has brown hair?(1) One-half of the students have brown hair.(2) One-third of the students are males.Q17:The number of defects in the first five cars to co
12、me through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?I. 3II. 7III. 12A. I onlyB. II onlyC. III onl
13、yD. I and III onlyE. I, II, and III Answer:Q18:Which of the following is equal to (2k)(5k 1)?A. 2(10k 1)B. 5(10k 1)C. 10k D. 2(10k )E. 102k 1Q19:If = 25, then x3 x2 =A. 512B. 520C. 6(55)D. 54(52 + 1)E. 58(54 1)Q20: y x zIn the parallelogram shown, what is the value of x?(1) y = 2x(2) x + z = 120D. EACH statemen
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