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OG17 OG18 OG19 OG20 OG2022	If x is a positive integer, what is the value of $$\sqrt{x+24}$$ - $$\sqrt{x}$$ ?(1) $$\sqrt{x}$$ is an integer.(2) $$\sqrt{x+24}$$ is an integer.
OG16 OG17 OG18 OG19 OG20 OG2022	A tank is filled with gasoline to a depth of exactly 2 feet. The tank is a cylinder resting horizontally on its side, with its circular ends oriented vertically. The inside of the tank is exactly 6 feet long. What is the volume of the gasoline in the tank?(1) The inside of the tank is exactly 4 feet in diameter.(2) The top surface of the gasoline forms a rectangle that has an area of 24 square feet.
OG18 OG19 OG20 OG2022	Of the four numbers represented on the number line above, is r closest to zero?(1) q=- s(2) - t < q
OG17 OG18 OG19 OG20 OG2022	A group consisting of several families visited an amusement park where the regular admission fees were $5,500 for each adult and $4,800 for each child. Because there were at least 10 people in the group, each paid an admission fee that was 10% less than the regular admission fee. How many children were in the group?(1) The total of the admission fees paid for the adults in the group was $ 29,700.(2) The total of the admission fees paid for the children in the group was $4,860 more than the total of the admission fees paid for the adults in the group.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the area of triangular region ABC above?(1)The product of BD and AC is 20.(2)x = 45
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In the xy-coordinate plane, is point R equidistant from points (-3,-3) and (1,-3) ?(1) The x-coordinate of point R is -1(2) Point R lies on the line y = -3.
OG16 OG17 OG18 OG19 OG20 OG2022	What is the ratio of the average (arithmetic mean) height of students in class X to the average height of students in class Y?(1)The average height of the students in class X is 120 centimeters.(2)The average height of the students in class X and class Y combined is 126 centimeters.
OG15 OG16 OG17 OG18 OG19 OG20	Is the positive two-digit integer N less than 40 ?(1) The units digit of N is 6 more than the tens digit(2) N is 4 less than 4 times the units digit.
OG16 OG17 OG18 OG19 OG20 OG2022	If $${2}^{x+y}$$ = $${4}^{8}$$, what is the value of y?(1) $${x}^{2}$$ = 81(2) x − y = 2
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Each week a certain salesman is paid a fixed amount equal to $300, plus a commission equal to 5 percent of the amount of his sales that week over $1,000. What is the total amount the salesman was paid last week?(1)The total amount the salesman was paid last week is equal to 10 percent of the amount of his sales last week.(2)The salesman's sales last week totaled $5,000.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	At a bakery, all donuts are priced equally and all bagels are priced equally. What is the total price of 5 donuts and 3 bagels at the bakery?(1)At the bakery, the total price of 10 donuts and 6 bagels is $12.90.(2)At the bakery, the price of a donut is $0.15 less than the price of a bagel.
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In the figure above, is the area of triangular region ABC equal to the area of triangular region DBA ?(1) $$({A}{C})^{2}={2}({A}{D})^{2}$$(2)$$ \Delta $$ ABC is isosceles
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If r and s are positive integers, can the fraction r/s be expressed as a decimal with only a finite number of nonzero digits?(1) s is a factor of 100(2) r is a factor of 100
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If $$r > 0$$ and $$s > 0$$, is$$\frac{r}{s}<\frac{s}{r}$$ ?(1)$$\frac{r}{3s}=\frac{1}{4}$$(2)$$s = r + 4$$
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If k is an integer such that 56 < k < 66, what is the value of k ?(1) If k were divided by 2, the remainder would be 1(2) If k + 1 were divided by 3, the remainder would be 0.
OG17 OG18 OG19 OG20 OG2022	If x is a positive integer, then is x prime?(1) 3x + 1 is prime.(2) 5x + 1 is prime.
OG15 OG16 OG17 OG12 OG18 OG19 OG20 OG2022	k, n, 12, 6, 17What is the value of n in the list above?(1)k < n(2)The median of the numbers in the list is 10.
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If x and y are integers, what is the value of x + y ?(1) $$3<{\frac{x+y}{2}}<4$$(2) $$2<{x}<{y}<5$$
OG12 OG15 OG17 OG16 OG18 OG19 OG20 OG2022	Last year, if Arturo spent a total of $12,000 on his mortgage payments, real estate taxes, and home insurance, how much did he spend on his real estate taxes?(1)Last year, the total amount that Arturo spent on his real estate taxes and home insurance was $$33\frac{1}{3}$$ percent of the amount that he spent on his mortgage payments.(2)Last year, the amount that Arturo spent on his real estate taxes was 20 percent of the total amount he spent on his mortgage payments and home insurance.
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If a, b, c, and d are positive numbers, is $$\frac a b < \frac c d$$ ?(1) $$0<\frac{(c-a)}{(d-b)}$$(2)$$(\frac{ad}{bc})^{2}<{\frac{ad}{bc}}$$