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2025-08-10 18:18本頁面
【導(dǎo)讀】cereal.Ifxandyarepositive,is4x>3y?afactorofn?Isx>k?(1)2x?2k=4. (2)9x?3k=81. Ifxandyarepositive,whatisthevalueofx–y?
【正文】 ) ALONE is sufficient, but statement (1) alone is not sufficient. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. 12 D. EACH statement ALONE is sufficient. E. Statements (1) and (2) TOGETHER are NOT sufficient. Answer: Q11: Working simultaneously and independently at an identical constant rate, 4 machines of a certain type can produce a total of x units of product P in 6 days. How many of these machines, working simultaneously and independently at this constant rate, can produce a total of 3x units of product P in 4 days? A. 24 B. 18 C. 16 D. 12 E. 8 Answer: Q12: At a sale all books were priced equally and all magazines were priced equally. What was the price of 3 books and 4 magazines at the sale? (1) At the sale the price of a book was $ more than the price of a magazine. (2) At the sale the price of 6 books and 8 magazines was $. 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. Answer: Q13: Juan bought some paperback books that cost $8 each and some hardcover books that cost $25 each. If Juan bought more than 10 paperback books, how many hardcover books did he buy? (1) The total cost of the hardcover books that Juan bought was at least $150. (2) The total cost of all the books that Juan bought was less than $260. 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. Answer: Q14: 13 6 . 08 . 01 0 . 01 1 . 3051015 1 9 9 3 1 9 9 4 1 9 9 5 1 9 9 6Revenue (in billions of dollars) The graph above shows the bined revenue, in billions of dollars, of a chain of food stores for each year over a fouryear period. In 1994 a certain store’s revenue accounted for percent of the bined revenue for that year, and in 1995 the same store accounted for percent of the bined revenue for that year. What was the approximate percent increase in revenue for this store from 1994 to 1995 ? A. % B. % C. % D. % E. % Answer: Q15: In the xyplane, does the point (a, b) lie above the line y = x ? (1) a = 2 (2) b = a + 2 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. Answer: Q16: The threedigit integer kss is the sum of the twodigit integers ks and rs, where k, r, and s are the digits of the integers. Which of the following must be true? I. k = 2 II. r = 9 III. s = 5 14 A. I only B. II only C. III only D. I and II E. II and III Answer: Q17: What is the greatest prime factor of 2100 296 ? A. 2 B. 3 C. 5 D. 7 E. 11 Answer: Q18: How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour to travel a distance of 220 yards? (1 mile = 1,760 yards) A. 8 B. 9 C. 10 D. 11 E. 12 Answer: Q19: Of the people who attended a workshop, 60 percent were teachers and some of the teachers were teachers of language arts. What percent of the people who attended the workshop were teachers of language arts? (1) 200 people attended the workshop. (2) 72 of the teachers who attended the workshop were not teachers of language arts. 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. Answer: Q20: For any integers x and y, min(x, y) and max(x, y) denote the minimum and the maximum of x and y, respectively. For example, min(5, 2) = 2 and max(5, 2) = 5. For the integer w, what is the value of
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