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If x and y are positive numbers and the ratio of x to y is 5 to 4, which of the following ratios must be equal to 6 to 5?
In a certain state, 60 percent of the eligible voters are registered to vote and 48 percent of the eligible voters in that state voted in a recent election. If only registered voters are permitted to vote, what percent of the registered voters in the state voted in the election?
For each of the years 1993 and 1994, the population of City M increased by 20 percent during the year. If the population was 280,000 on December 31, 1994, approximately what was the population on January 1, 1993?
The speed of light is $$3·10^{8}$$ meters per second, rounded to the nearest $$10^{8}$$ meters per second. A "light-hour" is the distance that light travels in an hour.



Quantity A

The number of kilometers in a light-hour

Quantity B

$$10^{10}$$




A large pump and a small pump are available to fill a public fountain with 7,500 gallons of water. The pumps can be used alone or simultaneously. Working alone at their respective constant rates, the small pump would take 1.6 times as long as the large pump to fill the fountain. Working simultaneously at their respective constant rates, the two pumps would take 3 hours to fill the fountain. How long would the small pump take to fill the fountain, working alone at its constant rate?

_____hours
A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?
Which of the following values is the largest?
x, n and k are all integers, 0 < x < $$10^{7}$$, x=$$n^{k}$$

If the units digit of x is 5, and x could be transformed into both the square of an integer and the cube of an integer, then x must be?
$$r$$ is a positive integer, $$k=2r+1$$, and $$h=5k-3$$

Quantity A

The units digit of $$h$$

Quantity B

2


The operation is defined by x✸y=$$\frac{x^{2}}{y}$$+$$\frac{x}{y}$$ for all numbers $$x$$ and $$y$$, where $$y \neq 0$$. What is the value of $$(9✸ (-9))+((-9) ✸9)$$?
Of the following, which graph best represents a shaded region in which every point $$(x, y)$$ satisfies the inequality $$y ≤ |x|$$?


Quantity A

x+z

Quantity B

y




ABCDE is a regular pentagon.

Quantity A

x

Quantity B

36




In the figure shown, what is the length of line segment BD?


Square BDFG is inscribed in isosceles triangle ACE. If the area of triangular region ACE is 1, what is the area of triangular region BCD?
In the circle below, the center lies in point O, and AOB is a right-angled isosceles triangle.



Quantity A

The area of the triangular region AOB

Quantity B

Twice the area of the shaded area




In the figure, MN is tangent to the circle at point P, and O is the center of the circle, and the length of PN is $$2\sqrt{3}$$.

Quantity A

The circumference of the circle

Quantity B

36


For how many of the five vehicle types is the number of silver vehicles less than 20 percent of the total number of vehicles of that type?
What is the range of all the weekly rental rates in the table?
A group of 10 couples plans to rent bayside summer houses on Island X from Realtor M for a certain week. The total rental cost for the houses will be evenly distributed among the 10 couples, and each couple will have their own bedroom. If Realtor M has at least three bayside summer houses of each type available that week, what is the least possible rental cost per couple?

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