PREP07 Test 2
|
If 0 < m < 1, which of the following expressions has the least value?
|
PREP07 Test 2
|
Each week Connie receives a base salary of $500, plus a 20 percent commission on the total amount of her sales that week in excess of $1,500. What was the total amount of Connie’s sales last week?(1) Last week Connie’s base salary and commission totaled $1,200.(2) Last week Connie’s commission was $700.
|
PREP07 Test 2
|
If the tick marks on the number line shown are equally spaced, what is the value of $$\frac{t}{s}$$ ?
|
PREP07 Test 2
|
Ann bought five different kinds of fruit: apples, oranges, pears, mangoes, and bananas. If the number of apples that Ann bought was twice the number of oranges and if the number of pears that Ann bought was the same as the number of apples and oranges combined, what fraction of the total number of pieces of fruit that Ann bought were pears? (1) Ann bought a total of 18 pieces of fruit. (2) Ann bought 5 bananas.
|
PREP07 Test 2
|
Five pieces of wood have an average (arithmetic mean) length of 124 centimeters and a median length of 140 centimeters. What is the maximum possible length, in centimeters, of the shortest piece of wood?
|
PREP07 Test 2
|
In 1995 Division A of Company X had 4,850 customers. If there were 86 service errors in Division A that year, what was the service-error rate, in number of service errors per 100 customers, for Division B of Company X in 1995 ?
(1) In 1995 the overall service-error rate for Divisions A and B combined was 1.5 service errors per 100 customers. (2) In 1995 Division B had 9,350 customers, none of whom were customers of Division A.
|
PREP07 Test 2
|
In the xy-plane, line k has positive slope and x-intercept 4. If the area of the triangle formed by line k and the two axes is 12, what is the y-intercept of line k ?
|
PREP07 Test 2
|
Machines X and Y produce bottles at their respective constant rates. Machine X produces k bottles in 6 hours and machine Y produces k bottles in 2 hours. How many hours does it take machines X and Y, working simultaneously, to produce 12k bottles?
|
PREP07 Test 2
|
If x and y are positive integers, is x an even integer?(1) x (y + 5) is an even integer.(2) $$6y^2+ 41y + 25$$ is an even integer.
|
PREP07 Test 2
|
In the figure shown, point O is the center of the semicircle and points B, C, and D lie on the semicircle. If the length of line segment AB is equal to the length of line segment OC, what is the degree measure of angle BAO ?(1) The degree measure of angle COD is 60. (2) The degree measure of angle BCO is 40.
|
PREP07 Test 2
|
Isaac can purchase a certain item in four different ways, as shown in the table. What is the lowest price for which he can purchase this item?
|
PREP07 Test 2
|
The number of years of service of the eight employees in a production department are 15, 10, 9, 17, 6, 4, 14, and 16. What is the range in the number of years of service of the eight employees?
|
PREP07 Test 2
|
Working independently at their respective constant rates, pumps X and Y took 48 minutes to fill an empty tank with water. What fraction of the water in the full tank came from pump X ? (1) Working alone at its constant rate, pump X would have taken 80 minutes to fill the tank with water.(2) Working alone at its constant rate, pump Y would have taken 120 minutes to fill the tank with water.
|
PREP07 Test 2
|
Bob invested $2,000 in fund A and $1,000 in fund B. Over the next two years, the money in fund A earned a total interest of 12 percent for the two years combined and the money in fund B earned 30 percent annual interest compounded annually. Two years after Bob made these investments, Bob's investment in fund A was worth how much more than his investment in fund B ?
|
PREP07 Test 2
|
What is the value of $$v^3 - k^3$$ ?(1) vk > 0(2) v - k = 6
|
PREP07 Test 2
|
The distributor of cases of a certain beverage charges $60 per case for orders of 1 to 5 cases, $50 per case for orders of 6 to 20 cases, and $45 per case for orders of more than 20 cases. If the distributor filled three orders, one for 3 cases of the beverage, one for 11 cases of the beverage, and one for 30 cases of the beverage, what was the total amount the distributor charged for the orders?
|
PREP07 Test 2
|
Rasheed bought two kinds of candy bars, chocolate and toffee, that came in packages of 2 bars each. He handed out 2/3 of the chocolate bars and 3/5 of the toffee bars. How many packages of chocolate bars did Rasheed buy?(1) Rasheed bought 1 fewer package of chocolate bars than toffee bars.(2) Rasheed handed out the same number of each kind of candy bar.
|
PREP07 Test 2
|
If m and r are two numbers on a number line, what is the value of r ? (1) The distance between r and 0 is 3 times the distance between m and 0 . (2) 12 is halfway between m and r.
|
PREP07 Test 2
|
Two members of a club are to be selected to represent the club at a national meeting. If there are 190 different possible selections of the 2 members, how many members does the club have?
|
PREP07 Test 2
|
A certain company had an annual profit of $15 million in 1998 and an annual profit of $20 million in 1999. In 2000 the company had an annual loss of $5 million. What was the company's average (arithmetic mean) annual profit for the 3 years?
|