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Ready4	For which of the following values of $k$ is $\tfrac{k+20}{k}$ NOT an integer?
Ready4	At least $\frac{3}{4}$ of 50 team members must receive an award individually from the state in order for the team as a whole to receive an award from the state. What is the greatest number of team members that could fail to receive an award individually from the state, if the team as a whole receives an award from the state?
Ready4	Which of the following equations describes a line parallel to the line below? $x+2y=4$
Ready4	If $a^{2}-10 < 1590$ , then how many integer values can $a$ have?
Ready4	A shopkeeper purchased footballs at $10 per football and sold them at a price equal to the purchase price plus a markup. If the markup was 10% of the selling price, what was the shopkeeper's profit in dollars, to the nearest cent, on each football?
Ready4	If $xy=xz$ , does $z=4$ ? (1) $y=2$ (2) $x$ and $z$ are both positive
Ready4	What is the value of $a$ ? (1) $a^2-a-6=0$ (2) $a+5$ is a prime number
Ready4	Joseph bought nails for $\$0.01$ each, hooks for $\$0.02$ each, and screws for $\$0.03$ each. Joseph bought a total of $18$ items and paid a total of $\$0.32$ . If Joseph bought twice as many nails as screws, how many hooks did he buy?
Ready4	If $x$ is a prime number, is $15x^3+30x^2+6x+9$ divisible by $x^2$ ? (1) $x^2 > 4$ and $x^2 < 30$ (2) $x^2-10x+21=0$
Ready4	Is $xy > 5$ ? (1) $x^{2}-15x+50 = 0$ (2) $y^{2}-10y+5 = 5$
Ready4	If $x \neq 0$ , what is the value of $x$ ? (1) $x^x=x$ (2) $(\frac{1}{x})^x=x$
Ready4	Is $\frac{6x}{13}$ an integer? (1) $x$ is a prime number (2) $3x$ is divisible by $13$
Ready4	If $x$ is an integer, is $\frac{x^3}{8}$ a positive integer? (1) $\frac{x^2}{8}$ is a positive integer (2) $\frac{x}{8}$ is a positive integer
Ready4	Consider a two digit number $xy$ where $x$ is the tens digit and $y$ is the units digit. Can we divide $xy$ by $15$ ? (1) $xy$ is a multiple of $5$ (2) $x+y=9$
Ready4	If $d$ is an integer, is $d=d^3$ ? (1) $d < 1$ (2) $d < 0$
Ready4	In an organization, one tenth of the male staff members and one fourth of the female staff members are involved in sports. If the total number of male staff is half of the number of female staff, then what fraction of the total staff plays sports?
Ready4	If $q$ is a positive integer, what is the value of $q$ ? (1) $q^3$ is a perfect square (2) $q^2=q$
Ready4	Is $x$ greater than $y$ ? (1) $x-1$ and $y+1$ are consecutive integers (2) $x$ is an odd integer
Ready4	If $a^2-ab=a^2-b^2$ , and $a \neq b$ , what is $c$ ? (1) $c=3a$ (2) $b=c^3$
Ready4	In the $xy$ -plane, is point $Q$ closer to $(10,3)$ than to $(3,10)$ ? (1) $Q$ lies on the line $y=x$ (2) $Q$ lies on the line $y=-x$