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OG18-定量推理	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-定量推理	Some computers at a certain company are Brand X and the rest are Brand Y. If the ratio of the number of Brand Y computers to the number of Brand X computers at the company is 5 to 6, how many of the computers are Brand Y ?(1) There are 80 more Brand X computers than Brand Y computers at the company.(2) There is a total of 880 computers at the company.
OG18-定量推理	In the figure shown, lines k and m are parallel to each other, Is x = z?(1) x = w(2)y = 180 - w
OG18-定量推理	When the wind speed is 9 miles per hour, the wind-chill factor w is given by w = -17.366 + 1.19t, where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?(1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit.
OG18-定量推理	What is the volume of the cube above?(1)The surface area of the cube is 600 square inches.(2)The length of diagonal AB is $${10}\sqrt3$$ inches.
OG18-定量推理	Of the 230 single-family homes built in City X last year, how many were occupied at the end of the year?(1) Of all single- family homes in City X, 90 percent were occupied at the end of last year.(2) A total of 7,200 single-family homes in City X were occupied at the end of last year.
OG18-定量推理	In the figure shown, quadrilateral ABCD is inscribed in a circle of radius 5. What is the perimeter of quadrilateral ABCD?(1) The length of AB is 6 and the length of CD is 8.(2) AC is a diameter of the circle.
OG18-定量推理	If x is a positive integer, what is the value of x?(1) $$x^{2} =\sqrt{x}$$(2) $$\frac{n}{x}=n$$ and $$n \neq 0$$.
OG18-定量推理	Is the median of the five numbers a, b, c, d, and e equal to d?(1) a < c < e(2) b < d < c
OG18-定量推理	During a certain bicycle ride, was Sherry's average speed faster than 24 kilometers per hour?( 1 kilometer = 1,000 meters)(1) Sherry's average speed during the bicycle ride was faster than 7 meters per second.(2) Sherry's average speed during the bicycle ride was slower than 8 meters per second.
OG18-定量推理	If x and y are integers, what is the value of x?(1) xy = 1(2) $$x\neq - 1$$
OG18-定量推理	If p, s, and t are positive, is \|ps - pt\| > p(s - t)?(1) p < s(2) s < t
OG18-定量推理	Is x > y?(1) x + y > x - y(2) 3x > 2y
OG18-定量推理	In the figure above, $$\overline{AB}$$, which has length z cm, is tangent to the circle at point A , and $$\overline{BD}$$, which has length y cm, intersects the circle at point C. If BC = x cm and $$z = \sqrt{xy}$$, what is the value of x?(1) CD = x cm(2) $$z = 5\sqrt{2}$$
OG18-定量推理	The total cost of an office dinner was shared equally by k of the n employees who attended the dinner. What was the total cost of the dinner?(1)Each of the k employees who shared the cost of the dinner paid $19.(2)If the total cost of the dinner had been shared equally by k + 1 of the n employees who attended the dinner, each of the k + 1 employees would have paid $18.
OG18-定量推理	What is the value of x?(1) x + 1 = 2 - 3x(2) $$\frac{1}{2x} = 2$$
OG18-定量推理	Is the integer n a prime number?(1) $$24 \le n \le 28$$(2) n is not divisible by 2 or 3.
OG18-定量推理	What is the sum of the first four terms of sequence S?(1) After the first two terms of S, the value of each term of S is equal to the average (arithmetic mean) of the last two preceding terms.(2) The average (arithmetic mean) of the first three terms of S is 10.
OG18-定量推理	If x and y are positive integers, what is the remainder when $$10^{x} + y$$ is divided by 3?(1) x =5(2) y = 2
OG18-定量推理	What was the amount of money donated to a certain charity?(1) Of the amount donated, 40 percent came from corporate donations.(2) Of the amount donated, $1.5 million came from noncorporate donations.