【正文】 invest in foreign markets last year? (1) Last year 12 of the 30 businesses reported a profit and had investments in foreign markets. (2) Last year 24 of the 30 businesses reported a profit or invested in foreign markets, or both. 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: Q21: y – – – – ● x O – P – – – In the figure shown, the circle has center O and radius 50, and point P has coordinates (50,0). If point Q (not shown) is on the circle, what is the length of line segment PQ ? (1) The xcoordinate of point Q is – 30. (2) The ycoordinate of point Q is – 40. 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: Q22: If –2x 3y, is x negative? (1) y 0 (2) 2x + 5y – 20 = 0 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: Q23: The toll for crossing a certain bridge is $ each crossing. Drivers who frequently use the bridge may instead purchase a sticker each month for $ and then pay only $ each crossing during that month. If a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day, what is the least value of x for which this driver can save money by using the sticker? A. 14 B. 15 C. 16 D. 28 E. 29 Answer: Q24: The positive numbers w, x, y, and z are such that x is 20 percent greater than y, y is 20 percent greater than z, and w is 20 percent less than x. What percent greater than z is w ? A. % B. % C. % D. % E. % Answer: Q25: Machine M processes a certain chemical product at a constant rate. Does machine M process the product at a rate that is greater than 25 grams per second? (1 kilogram = 1,000 grams) (1) Machine M processes the product at a rate that is greater than 92 kilograms per hour. (2) Machine M processes the product at a rate that is less than 95 kilograms per hour. 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: Q26: Is –7 y 10 ? (1) y 6 (2) y 0 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: Q27: If k is an integer and ()()() 10k is an integer, what is the least possible value of k ? A. 12 B. 6 C. 0 D. 6 E. 12 Answer: Q28: Jacob purchased 100 boxes of oranges at $ per box. He sold 8 of the boxes at $ per box to Company A, and he sold the rest of the boxes at x dollars per box to Company B. If Jacob’s profit from the purchase and sale of the 100 boxes of oranges was $, at what price per box did he sell the boxes to Company B ? A. $ B. $ C. $ D. $ E. $ Answer: Q29: A sum of money was divided between John and Anne such that the ratio of John’s share to Anne’s share was 5 to 3. If John’s share exceeded 95 of the sum of money by $50, what was Anne’s share? A. $180 B. $270 C. $340 D. $450 E. $720 Answer: Q30: From May 1 to May 30 in the same year, the balance in a checking account increased. What was the balance in the checking account on May 30 ? (1) If, during this period of time, the increase in the balance i