题库 | 考满分，百万出国党的口碑之选。

序号	题目内容
61	At a certain picnic, each of the guests was served either a single scoop or a double scoop of ice cream. How many of the guests were served a double scoop of ice cream?(1)At the picnic, 60 percent of the guests were served a double scoop of ice cream.(2)A total of 120 scoops of ice cream were served to all the guests at the picnic.
62	For a convention, a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person. What is the charge for each additional person?(1)The daily cost per person for 4 people sharing the cost of a room equally is $45.(2)The daily cost per person for 2 people sharing the cost of a room equallyis$25 more than the corresponding cost for 4 people.
63	Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ?(1)At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price.(2)At Store L the discount price is $5 less than the regular store price; at Store M the discount price is $6 less than the regular price.
64	If d denotes a decimal, is $$d \ge 0.5$$?(1)When d is rounded to the nearest tenth, the result is 0.5.(2)When d is rounded to the nearest integer, the result is 1.
65	How many integers are there between, but not including, integers r and s ?(1)s-r= 10(2)There are 9 integers between, but not including, r + 1 and s + 1.
66	If n and t are positive integers, is n a factor of t?(1)$$n=3^{n-2}$$(2)$$t=3^{n}$$
67	In a survey of 200 college graduates, 30 percent said they had received student loans during their college careers, and 40 percent said they had received scholarships. What percent of those surveyed said that they had received neither student loans nor scholarships during their college careers?(1)25 percent of those surveyed said that they had received scholarships but no loans.(2)50 percent of those surveyed who said that they had received loans also said that they had received scholarships.
68	Three machines, K, M, and P, working simultaneously and independently at their respective constant rates, can complete a certain task in 24 minutes. How long does it take Machine K, working alone at its constant rate, to complete the task?(1)Machines M and P, working simultaneously and independently at their respective constant rates, can complete the task in 36 minutes.(2)Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes.
69	The table above shows the results of a survey of 100 voters each responded "favorable" or "unfavorable" or "not sure" when asked about their impressions of candidate M and of candidate N. What was the number of voters who responded "favorable" for both candidates?(1)The number of voters who did not respond "favorable" for either candidate was 40.(2) The number of voters who responded "unfavorable" for both candidates was 10.
70	Mary persuaded n friends to donate $500 each to her election campaign, and then each of these n friends persuaded n more people to donate $500 each to Mary`s campaign. If no one donated more than once and if there were no other donations, what was the value of n?(1)The first n people donated $$\frac1 {16}$$ of the total amount donated.(2)The total amount donated was $120,000.
71	Carlotta can drive from her home to her office by one of two possible routes. If she must also return by one of these routes, what is the distance of the shorter route?(1)When she drives from her home to her office by the shorter route and returns by the longer route, she drives a total of 42 kilometers.(2)When she drives both ways, from her home to her office and back, by the longer route, she drives a total of 46 kilometers.
72	Is $$x >{y}$$?(1)$$x = y + 2$$(2)$$\frac x 2 = y-1$$
73	If m is an integer, is m odd?(1)$$\frac m 2$$ is not an even integer.(2)m - 3 is an even integer.
74	What is the area of triangular region ABC above?(1)The product of BD and AC is 20.(2)x = 45
75	In the xy-plane, the line with equation ax + by + c = 0, where $$abc \neq 0$$, has slope$$\frac{2}{3}$$. What is the value of b?(1) a = 4(2) c = −6
76	If m, p, and t are positive integers and m < p < t, is the product mpt an even integer?(1)t - p = p - m(2)t - m = 16
77	Each week a certain salesman is paid a fixed amount equal to $300, plus a commission equal to 5 percent of the amount of his sales that week over $1,000. What is the total amount the salesman was paid last week?(1)The total amount the salesman was paid last week is equal to 10 percent of the amount of his sales last week.(2)The salesman's sales last week totaled $5,000.
78	A total of $60,000 was invested for one year. Part of this amount earned simple annual interest at the rate of x percent per year, and the rest earned simple annual interest at the rate of y percent per year. If the total interest earned by the $60,000 for that year was $4,080, what is the value of x?(1)$${x}=\frac {3y} {4}$$(2)The ratio of the amount that earned interest at the rate of x percent per year to the amount that earned interest at the rate of y percent per year was 3 to 2.
79	Leo can buy a certain computer for $${P}_{1}$$ dollars in State A, where the sales tax is $${t}_{1}$$ percent, or he can buy the same computer for $${p}_{2}$$ dollars in State B, where the sales tax is $${t}_{2}$$ percent. Is the total cost of the computer greater in State A than in State B ?(1)$${t}_{1} >{t}_{2}$$(2)$${p}_{1}{t}_{1} >{p}_{2}{t}_{2}$$
80	If $$r > 0$$ and $$s > 0$$, is$$\frac{r}{s}<\frac{s}{r}$$ ?(1)$$\frac{r}{3s}=\frac{1}{4}$$(2)$$s = r + 4$$

序号

题目内容

At a certain picnic, each of the guests was served either a single scoop or a double scoop of ice cream. How many of the guests were served a double scoop of ice cream?(1)At the picnic, 60 percent of the guests were served a double scoop of ice cream.(2)A total of 120 scoops of ice cream were served to all the guests at the picnic.

For a convention, a hotel charges a daily room rate of $120 for 1 person and x dollars for each additional person. What is the charge for each additional person?(1)The daily cost per person for 4 people sharing the cost of a room equally is $45.(2)The daily cost per person for 2 people sharing the cost of a room equallyis$25 more than the corresponding cost for 4 people.

Stores L and M each sell a certain product at a different regular price. If both stores discount their regular price of the product, is the discount price at Store M less than the discount price at Store L ?(1)At Store L the discount price is 10 percent less than the regular price; at Store M the discount price is 15 percent less than the regular price.(2)At Store L the discount price is $5 less than the regular store price; at Store M the discount price is $6 less than the regular price.

If d denotes a decimal, is $$d \ge 0.5$$?(1)When d is rounded to the nearest tenth, the result is 0.5.(2)When d is rounded to the nearest integer, the result is 1.

How many integers are there between, but not including, integers r and s ?(1)s-r= 10(2)There are 9 integers between, but not including, r + 1 and s + 1.

If n and t are positive integers, is n a factor of t?(1)$$n=3^{n-2}$$(2)$$t=3^{n}$$

In a survey of 200 college graduates, 30 percent said they had received student loans during their college careers, and 40 percent said they had received scholarships. What percent of those surveyed said that they had received neither student loans nor scholarships during their college careers?(1)25 percent of those surveyed said that they had received scholarships but no loans.(2)50 percent of those surveyed who said that they had received loans also said that they had received scholarships.

Three machines, K, M, and P, working simultaneously and independently at their respective constant rates, can complete a certain task in 24 minutes. How long does it take Machine K, working alone at its constant rate, to complete the task?(1)Machines M and P, working simultaneously and independently at their respective constant rates, can complete the task in 36 minutes.(2)Machines K and P, working simultaneously and independently at their respective constant rates, can complete the task in 48 minutes.