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Other monarchs have been accused by posterity of murder and treason without having come to be regarded with such _____, perhaps because the cases against them have never been satisfactorily proved.
If 1 kilometer is approximately 0.62 mile, what is the approximate speed, in kilometers per hour, of a car that is traveling at a speed of 50 miles per hour?
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?
a > 0

Quantity A

$$(a+a^{-1})^{2}$$

Quantity B

$$a^{2}$$+$$a^{-2}$$


When the positive integer x is divided by 42, the remainder is 9. What is the remainder when x is divided by 7?


Quantity A

m + n

Quantity B

2m


If x is a positive integer such that the units digit of $$x^{3}$$ is 3, what is the units digit of $$x^{15}$$?
The functions f and g are defined by f (x) = |2x +1| and g(x)=3 for all numbers x. What is the least value of c for which f (c) = g (c)?
If $$p$$ and $$n$$ are prime numbers, $$p-n=4$$, and $$\frac{3}{2} \lt \frac{p}{n} \lt 2$$, what is the value of $$p$$?
A research report states that the average (arithrmetic mean) of 120 measurements was 72.5, the greatest of the 120 measurements was 92.8, and the range of the 120 measurements was 51.6.
The information given above is sufficient to determine the value of which of the following statistics?
Indicate all such statistics.
n is a positive integer.

Quantity A

The remainder when $$3^{4n}$$ is divided by 10

Quantity B

1




In the xy-plane, C and D are circles centered at the origin with radii $$\sqrt{17}$$ and $$\sqrt{5}$$, respectively.

Quantity A

The number of points (a, b) on circle C where both a and b are integers

Quantity B

The number of points (a, b) on circle D where both a and b are integers


In a distribution of the values of the variable x, the 50th percentile is 48.5 and the 60th percentile is 56.5.

Quantity A

The 40th percentile of the distribution of the values of x

Quantity B

40.5




The figure shows the design of a mosaic tile in which the four sides of the square are the diameters of four intersecting semicircles. Small blue stones are to be placed in the shaded regions and will cover 95 percent of the area of these regions. If each side of the square has length 2 feet, approximately how many square feet of the tile will be covered by the blue stones?
If -8 ≤ h ≤ 10 and h+m=-4, what is the least possible value of mh?
The median of 7 consecutive odd numbers in a certain list is 39. If the each of the numbers in the list were multiplied by -3, what would be the value of the least of the resulting 7 numbers?


Point $$Q$$ (not shown) is on the number line between $$-2$$ and $$-1$$. Point $$R$$ (not shown) is on the number line between $$0$$ and $$1$$. Point $$S$$ (not shown) is on the number line between $$3$$ and $$4$$

Quantity A

$$QR$$

Quantity B

$$RS$$




If 20 were to be added to only one of the five factors in the product (173) (113) (131) (293) (239), to which factor must it to be added so that the resulting product is as great as possible?
x > 0

y < 0

Quantity A

$$(x-y)^{2}$$

Quantity B

$$x^{2}+y^{2}$$


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