|
OG18-数学分册
|
 A framed picture is shown above. The frame, shown shaded, is 6 inches wide and forms a border of uniform width around the picture. What are the dimensions of the viewable portion of the picture?(1) The area of the shaded region is 24 square inches. (2) The frame is 8 inches tall.
|
|
OG18-数学分册
|
How many hours would it take Pump A and Pump B working together, each at its own constant rate, to empty a tank that was initially full?(1) Working alone at its constant rate, Pump A would empty the full tank in 4 hours 20 minutes.(2) Working alone, Pump B would empty the full tank at its constant rate of 72 liters per minute.
|
|
OG18-数学分册
|
Rita's monthly salary is $$\frac{2}{3}$$ Juanita's monthly salary. What is their combined monthly salary?(1) Rita's monthly salary is $4,000.(2) Either Rita's monthly salary or Juanita's monthly salary is $6,000.
|
|
OG18-数学分册
|
If x and y are positive, is xy > x +y?(1) x < y(2) 2 < x
|
|
OG18-数学分册
|
What is the tenths digit of the number d when it is written as a decimal?(1) $$d = \frac{54}{25}$$(2) 1,000d = 2,160
|
|
OG18-数学分册
|
A retailer purchased a television set for x percent less than its list price, and then sold it for y percent less than its list price. What was the list price of the television set?(1) x = 15(2) x - y = 5
|
|
OG18-数学分册
|
A candle company determines that, for a certain specialty candle, the supply function is p = $$m_{1}x + b_{1} $$and the demand function is p = $$m_{2}x + b_{2} $$, where p is the price of each candle, x is the number of candles supplied or demanded, and $$m_{1}, m_{2}, b_{1}, and b_{2}$$ are constants. At what value of x do the graphs of the supply function and demand function intersect?(1) $$m_{1} = -m _{2} = 0.005$$ (2) $$b_{2} - b_{1} =6$$
|
|
OG18-数学分册
|
In a certain factory, hours worked by each employee in excess of 40 hours per week are overtime hours and are paid for at $$1\frac{1}{2}$$ times the employee's regular hourly pay rate. If an employee worked a total of 42 hours last week, how much was the employee's gross pay for the hours worked last week?(1) The employee's gross pay for overtime hours worked last week was $30.(2) The employee's gross pay for all hours worked last week was $30 more than for the previous week
|
|
OG18-数学分册
|
Is k + m < 0?(1) k <0(2) km >0
|
|
OG18-数学分册
|
A certain dealership has a number of cars to be sold by its salespeople. How many cars are to be sold?(1) If each of the salespeople sells 4 of the cars, 23 cars will remain unsold.(2) If each of the salespeople sells 6 of the cars, 5 cars will remain unsold.
|
|
OG18-数学分册
|
What is the value of the integer x?(1) x rounded to the nearest hundred is 7,200.(2) The hundreds digit of x is 2.
|
|
OG18-数学分册
|
For all x, the expression $$x^{*}$$ is defined to be ax + a, where a is a constant. What is the value of $$2^{*}?$$(1) $$3^{*} = 2$$ (2) $$5^{*} = 3$$
|
|
OG18-数学分册
|
A certain financial institution reported that its assets totaled $2,377,366.30 on a certain day. Of this amount, $31,724.54 was held in cash. Approximately what percent of the reported assets was held in cash on that day?
|
|
OG18-数学分册
|
$$3r \leq 4s + 5$$$$|s| \leq 5$$Given the inequalities above, which of the following CANNOT be the value of r ?
|
|
OG18-数学分册
|
What is the value of $$2x^{2} ‒ 2.4x ‒ 1.7$$ for x = 0.7 ?
|
|
OG18-数学分册
|
If $$x \neq 2$$, then $${3x^{2}(x-2)-x+2}\over{x-2}$$=
|
|
OG18-数学分册
|
If x = -|w|, which of the following must be true?
|
|
OG18-数学分册
|
$$17^{3} + 17^{4} = $$
|
|
OG18-数学分册
|
What is the largest integer n such that $${1}\over{2^{n}}$$ > 0.01?
|
|
OG18-数学分册
|
A positive integer is divisible by 9 if and only if the sum of its digits is divisible by 9. If n is a positive integer, for which of the following values of k is $$25 * 10^{n} + k * 10^{2n} divisible by 9 ?$$
|