数据充分性汇编 116 SECTION 1 30 Minutes 25 Questions 1. If today the price of an item is $3,600, what was the price of the item exactly 2 years ago? (1) The price of the item increased by 10 per-cent per year during this 2-year period. (2) Today the price of the item is 1.21 times its price exactly 2 years ago. 2. By what percent has the price of an overcoat been reduced? (1) The original price was $380. (2) The original price was $50 more than the reduced price. 3. If the Longfellow Playground is rectangular, what is its width? (1) The ratio of its length to its width is 7 to 2. (2) The perimeter of the playground is 396 meters. 4. What is the value of x –1? (1) x + 1 =3 (2) x – 1 < 3 5. Is William taller than Jane? (1) William is taller than Anna. (2) Anna is not as tall as Jane. 6. In parallelogram ABCD above, what is the measure of ADC? (1) The measure of ABC is greater than 90o . (2) The measure of BCD is 70o 数据充分性汇编 117 7. Is x2 equal to xy? (1) x2 – y2 = (x + 5)(y - 5) (2) x = y 8. Was 70 the average (arithmetic mean) grade on a class test? (1) On the test, half of the class had grades below 70 and half of the class had grades above 70. (2) The lowest grade on the test was 45 and the highest grade on the test was 95. 9. What was John’s average driving speed in miles per hour during a 15-minute interval? (1) He drove 10 miles during this interval. (2) His maximum speed was 50 miles per hour and his minimum speed was 35 miles per hour during this interval. 10. Is MNP isosceles? (1) Exactly two of the angles, M and N, have the same measure (2) N and P do not have the same measure. 11. Is n an integer greater than 4? (1) 3n is a positive integer. (2) 3 n is a positive integer. 12. In JKL shown above, what is the length of segment JL? (1) JK = 10 (2) KL = 5 数据充分性汇编 118 13. A coal company can choose to transport coal to one of its customers by railroad or by truck. If the railroad charges by the mile and the trucking company charges by the ton, which means of transporting the coal would cost less than the other? (1) The railroad charges $5,000 plus $0.01 per mile per railroad car used, and the trucking company charges $3,000 plus $85 per ton. (2) The customer to whom the coal is to be sent is 195 miles away from the coal company. 14. Is x – y > r – s? (1) x > r and y < s? (2) y = 2, s = 3, r = 5, and x = 6. 15. On a certain day it took Bill three times as long to drive from home to work as it took Sue to drive from home to work. How many kilometers did Bill drive from home to work? (1) Sue drove 10 kilometers from home to work, and the ratio of distance driven from home to work time to drive from home to work was the same for Bill and Sue that day. (2) The ratio of distance driven from home to work time to drive from home to work for Sue that day was 64 kilometers per hour. 16. The figure above represents the floor of a square foyer with a circular rug partially covering the floor and extending to the outer edges of the floor as shown. What is the area of the foyer that is not covered by the rug? (1) The area of the foyer is 9 square meters. (2) The area of the rug is 2.25 square meters. 17. At a certain university, if 50 percent of the people who inquire about admission policies actually submit applications for admission, what percent of those who submit applications for admission enroll in classes at the university? (1) Fifteen percent of those who submit applications for admission are accepted at the university. (2) Eighty percent of those who are accepted send a deposit to the university. 18. If x and y are nonzero integers, is y x an integer? (1) x is the product of 2 and some other integer. (2) There is only one pair of positive integers whose product equals y. 19. If x is an integer, what is the value of x? (1) (2) 20. Is quadrilateral Q a square? (1) The sides of Q have the same length. (2) The diagonals of Q have the 2 1 1 1 5 1 < + < x ( x − 3 )( x − 4 ) = 0