题库 | 考满分，百万出国党的口碑之选。

序号	题目内容
41	Is $${4}^{x+y}={8}^{10}$$ ?(1) x-y= 9(2) $$\frac{y}{x}=\frac{1}{4}$$
42	Can a certain rectangular sheet of glass be positioned on a rectangular tabletop so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop?(1) The tabletop is 36 inches wide by 60 inches long.(2) The area of one side of the sheet of glass is 2,400 square inches.
43	If $${p}_{1}$$ and $${p}_{2}$$ are the populations and $${r}_{1}$$ and $${r}_{2}$$ are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?(1)$${p}_{1} >{p}_{2}$$(2)$${r}_{2} >{r}_{1}$$
44	In a random sample of 80 adults, how many are college graduates?(1)In the sample, the number of adults who are not college graduates is 3 times the number who are college graduates.(2)In the sample, the number of adults who are not college graduates is 40 more than the number who are college graduates.
45	The table above shows the distance, in kilometers, by the most direct route, between any two of the four cities, R, S, T, and U. For example, the distance between City R and City U is 62 kilometers. What is the value of x ?(1)By the most direct route, the distance between S and T is twice the distance between S and R.(2)By the most direct route, the distance between T and U is 1.5 times the distance between R and T.
46	What is the tenths digit in the decimal representation of a certain number?(1)The number is less than $$\frac1 3$$(2)The number is greater than $$\frac1 4$$
47	Robots X, Y, and Z each assemble components at their respective constant rates. If $${r}_{x}$$ is the ratio of Robot X's constant rate to Robot Z's constant rate and $${r}_{y}$$ is the ratio of Robot Y's constant rate to Robot Z's constant rate, is Robot Z's constant rate the greatest of the three?(1)$${r}_{x}<{r}_{y}$$(2)$${r}_{y}< 1$$
48	If a < x < b and c < y < d, is x < y?(1)a < c(2)b < c
49	How many people are directors of both Company K and Company R ?(1)There were 17 directors present at a joint meeting of the directors of Company K and Company R, and no directors were absent.(2)Company K has 12 directors and Company R has 8 directors.
50	If x and y are positive, is $$\frac x y$$ greater than 1 ?(1)$$xy >1$$(2)$$x-y >0$$
51	A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store`s gross profit from the item was what percent of its cost for the item?(1)$$y - x = 20$$(2)$$\frac y x=\frac5 4$$
52	If x and y are positive, is $$x < 10 < {y}$$?(1)$$x <{y}$$ and $$xy = 100$$(2) $$x^2<100<{y^2}$$
53	If x is an integer, is $${9}^{x}+{9}^{-x}=b$$ ?(1)$${3}^{x}+{3}^{-x}=\sqrt{b+2}$$(2)$$x > 0$$
54	A taxi company charges f cents for the first mile of the taxi ride and m cents for each additional mile. How much does the company charge for a 10-mile taxi ride?(1)The company charges $0.90 for a 2-mile ride.(2)The company charges $1.20 for a 4-mile ride.
55	Guy's net income equals his gross income minus his deductions. By what percent did Guy's net income change on January 1, 1989, when both his gross income and his deductions increased?(1)Guy`s gross income increased by 4 percent on January 1, 1989.(2)Guy`s deductions increased by 15 percent on January 1, 1989.
56	What is the value of z in the triangle above?(1)x + y=139(2)y + z = 108
57	Each gift certificate sold yesterday by a certain bookstore cost either $10 or $50. If yesterday the bookstore sold more than 5 gift certificates that cost $50 each, what was the total number of gift certificates sold yesterday by the bookstore?(1) Yesterday the bookstore sold fewer than 10 gift certificates that cost $10 each.(2) The total cost of gift certificates sold yesterday by the bookstore was $460.
58	What is the tens digit of positive integer x ?(1)x divided by 100 has a remainder of 30.(2)x divided by 110 has a remainder of 30.
59	Max has $125 consisting of bills each worth either $5 or $20. How many bills worth $5 does Max have?(1)Max has fewer than 5 bills worth $5 each.(2)Max has more than 5 bills worth $20 each.
60	What is the value of n in the equation $$-25 + 19 + n = s$$?(1)$$s = 2$$(2)$$\frac{n}{s} = 4$$

序号

题目内容

Is $${4}^{x+y}={8}^{10}$$ ?(1) x-y= 9(2) $$\frac{y}{x}=\frac{1}{4}$$

Can a certain rectangular sheet of glass be positioned on a rectangular tabletop so that it covers the entire tabletop and its edges are parallel to the edges of the tabletop?(1) The tabletop is 36 inches wide by 60 inches long.(2) The area of one side of the sheet of glass is 2,400 square inches.

If $${p}_{1}$$ and $${p}_{2}$$ are the populations and $${r}_{1}$$ and $${r}_{2}$$ are the numbers of representatives of District 1 and District 2, respectively, the ratio of the population to the number of representatives is greater for which of the two districts?(1)$${p}_{1} >{p}_{2}$$(2)$${r}_{2} >{r}_{1}$$

In a random sample of 80 adults, how many are college graduates?(1)In the sample, the number of adults who are not college graduates is 3 times the number who are college graduates.(2)In the sample, the number of adults who are not college graduates is 40 more than the number who are college graduates.