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Ready4	In the figure above, if $P Q = x$ , is the area of triangle PQR equal to the area of PST? $P T = \sqrt{2} (P R)$ The triangle PST is isosceles.
Ready4	If $r_{1}$ and $r_{2}$ are the roots of the equation $t^{2} + b t + c = 0$ , where b and c are constants, are both $r_{1}$ and $r_{2}$ positive? $b < 0$ $c < 0$
Ready4	If a certain computer program scans a total of 5,760 files when it runs, how many minutes will it take to complete the scan? The program scans 8 files per second. It takes 3 times as long to run the scan as it takes to upload the output to a server, and it takes a total of 16 minutes to do both.
Ready4	If the average (arithmetic mean) of four numbers is 150, how many of the numbers are equal to 150? (1) None of the four numbers is less than 150. (2) None of the four numbers is greater than 150.
Ready4	At a company's awards ceremony, $\frac{3}{5}$ of the attendees were company employees and the remaining attendees were staff hired for the event. If $\frac{1}{5}$ of the employees were managers, what was the number of employees who were not managers? There were 125 attendees. There were 50 staff hired for the event.
Ready4	What percent of the female residents of a particular county own a driver's license? Of the owners of a driver's license resident in the county, 25 percent are female. Of the non-owners of a driver's license resident in the county, 25 percent are male.
Ready4	If u and v are positive, is $\frac{u}{v}$ less than 1? ${(u v)}^{2} > 1$ $u - v > 0$
Ready4	A bag holds 12 balls, each of which is colored white, black, gray, or green. If a person is to select a ball randomly from the bag, is the probability less than $\frac{1}{2}$ that the ball selected will be either white or green? The probability that the person will select a gray ball is $\frac{1}{3}$ . The probability that the person will select a green ball is $\frac{1}{6}$ .
Ready4	What is the median duration of a client engagement, billed in weeks, to the nearest week, at a particular company? Exactly 30 percent of the client engagements last 4 or more weeks. Exactly 40 percent of the client engagements last 2 or fewer weeks.
Ready4	Last year, a company sold six types of products, each a telephony product or a home appliance. The table above shows the annual revenue from each product as a fraction of the company's total annual revenue. If the company's telephony products generated revenue in excess of $\frac{1}{2}$ of the total annual revenue, is Product 3 a telephony product? Product 1 and Product 6 are telephony products. Product 2 and Product 5 are not telephony products.
Ready4	The profits of a new company were x percent higher in the second year than the first year and y percent lower in the third year than the second year. Were the profits higher in the third year than the first year? $1 - x < 1 - y$ $\frac{x y}{100} < x - y$
Ready4	The ages of all children in Group A are the same, and the ages of all children in Group B are the same. Is the age of a child in Group A less than the age of a child in Group B? The sum of the ages of 3 children in Group A and 2 children in Group B is less than the sum of ages of 2 children in Group A and 4 children in Group B. The sum of the ages of 4 children in Group A and 3 children in Group B is less than the sum of ages of 3 children in Group A and 4 children in Group B.
Ready4	If x is a positive integer, is the value of $y - z$ at most twice the value of $3^{x} - 5^{x}$ ? $y = 3^{x + 1}$ and $z = 5^{x + 1}$ $x = 5$
Ready4	A circular well is constructed within a circular garden. The circumference of the well's opening is $\frac{1}{5}$ that of the garden. What is the area of the well's opening? The area of the garden is $25 π$ square meters. The edging around the garden is $10 π$ meters long.
Ready4	The player of a certain game drew a number of cards from a deck in which each card was labeled with an integer from 1 to 10. Four more even than odd numbers were drawn. How many times were even numbers drawn? The player drew 12 cards. The player received 4 points for each even number and 2 points for each odd number drawn, for a total of 40 points.
Ready4	If n is a positive integer and $m = 6.2 * 10^{n}$ , what is the value of m? $6 * 10^{3} < m < 5 * 10^{5}$ $m^{2} = 3.844 * 10^{9}$
Ready4	If QR = 10, what is the area of the triangular region PQR above? $P S = S R = 5$ $P Q = P R$
Ready4	What is the final digit of positive integer n? n divided by 10 has a remainder of 1. n divided by 11 has a remainder of 1.
Ready4	If 1,200 employees, males and females, requested a raise, how many requests were granted? $\frac{5}{12}$ of the males and $\frac{7}{12}$ of the females had their request granted. 200 of the requests made by males were granted.
Ready4	If e, f, g, and h are positive numbers, and $f \neq h$ , is $\frac{e}{f} < \frac{g}{h}$ ? $\frac{e - g}{h - f}$ is negative. $f g {(\frac{e h}{f g})}^{2} < e h$