题库 | 考满分，百万出国党的口碑之选。

序号	题目内容
121	For any positive integer x, the 2-height of x is defined to be the greatest nonnegative integer n such that $${2}^{n}$$ is a factor of x. If k and m are positive integers, is the 2-height of k greater than the 2-height of m ? (1) $$k>{m}$$ (2)$$\frac{K}{M}$$ is an even integer.
122	At what speed was a train traveling on a trip when it had completed half of the total distance of the trip?(1)The trip was 460 miles long and took 4 hours to complete.(2)The train traveled at an average rate of 115 miles per hour on the trip.
123	4, 6, 8, 10, 12, 14, 16, 18, 20, 22List M (not shown) consists of 8 different integers each of which is in the list shown. What is the standard deviation of the numbers in list M ?(1) The average (arithmetic mean) of the numbers in list M is equal to the average of the numbers in the list shown.(2) List M does not contain 22.
124	Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses?(1)The price of Tom's house was $110,000.(2)The price of Jane's house was $120,000.
125	If x and y are integers, is xy even?(1)$$x = y+1$$(2)$$\frac{x}{y}$$ is an even integer.
126	In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangular region RCS ?(1)The area of triangular region ABX is 32.(2)The length of one of the altitudes of triangle ABC is 8.
127	A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department?(1)The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively.(2)The manager distributed a total of 18 pens, 27 pencils, and 36 pads.
128	On a company-sponsored cruise, $$\frac2 3$$ of the passengers were company employees and the remaining passengers were their guests. If $$\frac3 4$$ of the company-employee passengers were managers, what was the number of company-employee passengers who were NOT managers?(1)There were 690 passengers on the cruise.(2)There were 230 passengers who were guests of the company employees.
129	The length of the edging that surrounds circular garden K is $$\frac12$$ the length of the edging that surrounds circular garden G. What is the area of garden K ? (Assume that the edging has negligible width.)(1)The area of G is 25π square meters.(2)The edging around G is l0π meters long.
130	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 min(10, w) ?(1)w = max(20, z) for some integer z.(2)w = max(10, w)
131	If arc PQR above is a semicircle, what is the length of diameter $$\overline{PR}$$ ?(1)a = 4(2)b = 1
132	A certain bookcase has 2 shelves of books. On the upper shelf, the book with the greatest number of pages has 400 pages. On the lower shelf, the book with the least number of pages has 475 pages. What is the median number of pages for all of the books on the 2 shelves?(1)There are 25 books on the upper shelf.(2)There are 24 books on the lower shelf.
133	In the figure, points A, B, C, D, and E lie on a line. A is on both circles, B is the center of the smaller circle, C is the center of the larger circle, D is on the smaller circle, and E is on the larger circle. What is the area of the region inside the larger circle and outside the smaller circle?(1)AB = 3 and BC =2(2)CD =1 and DE = 4
134	In planning for a trip, Joan estimated both the distance of the trip, in miles, and her average speed, in miles per hour. She accurately divided her estimated distance by her estimated average speed to obtain an estimate for the time, in hours, that the trip would take. Was her estimate within 0.5 hour of the actual time that the trip took?(1) Joan`s estimate for the distance was within 5 miles of the actual distance.(2) Joan`s estimate for her average speed was within 10 miles per hour of her actual average speed.
135	A certain list consists of 3 different numbers. Does the median of the 3 numbers equal the average (arithmetic mean) of the 3 numbers?(1)The range of the 3 numbers is equal to twice the difference between the greatest number and the median.(2)The sum of the 3 numbers is equal to 3 times one of the numbers.
136	y = ax - 5y = x + 6y = 3x + bIn the xy-plane, the straight-line graphs of the three equations above each contain the point (p,r). If a and b are constants, what is the value of b?(1) a = 2(2) r = 17
137	In the figure above, PQR and STU are identical equilateral triangles, and PQ = 6. What is the perimeter of polygon PQWTUVR?(1) Triangle SWV has perimeter 9.(2) VW has length 3.5.
138	The range of the numbers in set S is x, and the range of the numbers in set Tis y. If all of the numbers in set Tare also in set S, is x greater than y ?(1) Set S consists of 7 numbers(2) Set T consists of 6 numbers
139	An employee is paid 1.5 times the regular hourly rate for each hour worked in excess of 40 hours per week, excluding Sunday, and 2 times the regular hourly rate for each hour worked on Sunday. How much was the employee paid last week?(1)The employee's regular hourly rate is $10.(2)Last week the employee worked a total of 54 hours but did not work more than 8 hours on any day.
140	A box contains only red chips, white chips, and blue chips. If a chip is randomly selected from the box, what is the probability that the chip will be either white or blue?(1)The probability that the chip will be blue is $$\frac1 5$$(2)The probability that the chip will be red is $$\frac1 3$$

序号

题目内容

121

For any positive integer x, the 2-height of x is defined to be the greatest nonnegative integer n such that $${2}^{n}$$ is a factor of x. If k and m are positive integers, is the 2-height of k greater than the 2-height of m ? (1) $$k>{m}$$ (2)$$\frac{K}{M}$$ is an even integer.

122

At what speed was a train traveling on a trip when it had completed half of the total distance of the trip?(1)The trip was 460 miles long and took 4 hours to complete.(2)The train traveled at an average rate of 115 miles per hour on the trip.

123

4, 6, 8, 10, 12, 14, 16, 18, 20, 22List M (not shown) consists of 8 different integers each of which is in the list shown. What is the standard deviation of the numbers in list M ?(1) The average (arithmetic mean) of the numbers in list M is equal to the average of the numbers in the list shown.(2) List M does not contain 22.

124

Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses?(1)The price of Tom's house was $110,000.(2)The price of Jane's house was $120,000.

125

If x and y are integers, is xy even?(1)$$x = y+1$$(2)$$\frac{x}{y}$$ is an even integer.