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题目内容
For all positive integers x and y, the operation $$\odot$$ is defined by x$$\odot$$y=$$x^{-y}$$.

Quantity A

$$(2\odot2)^{3}$$

Quantity B

$$(2\odot3)^{2}$$

Quantity A

380(y+6)

Quantity B

380(у+4) + 380(у+2)
If x is a positive integer and x > 5, which of the following could be the units digit of $$19^{x}$$?

Indicate all such digits.


In the figure shown, the area of the circular region is approximately 50 percent of the area of the shaded region. The area of the rectangular region is approximately what percent of the area of the circular region?
Which of the following inequalities is consistent with the statement that the time it took train K to travel r miles at a constant rate of s miles per hour is less than the time it took train M to travel y miles at a constant rate of z miles per hour?
The total annual per capita consumption of ice cream and cheese combined in 1950 was approximately what percent of that in 1990 ?
For 1970, which of the following is closest to the ratio of the annual per capita consumption of fresh vegetables to that of ice cream?
n is a positive even integer

Quantity A

The greatest possible value of x such that $$2^{x}$$ is a factor of n(n+2)(n+4)(n+6)

Quantity B

The greatest possible value of y such that $$2^{y}$$ is a factor of n(n+2)(n+4)(n+6) + 320


Claire regularly backs up both of the computers that she owns. On the first day of June, she backs up both computers. Thereafter, she backs up one of the computers every sixth day during June (that is, on June 7 and so on), and she backs up the other computer every eighth day during June. On how many of the 30 days in June $$\underline{does}$$ she not back up either of the two computers.

_____days
n=123456789101112.........499500

The digits of the integer n above are the digits of the integers from 1 to 500 written in consecutive order. How many digits does n have?
r is the remainder obtained when dividing $$7^{995}+7^{50}-4$$ by 7

Quantity A

r

Quantity B

4
15,000 is divisible by $$25a^{k}b^{2}$$, where a and b are prime numbers, a ≠ b, and k is a positive integer.

Quantity A

The greatest possible value of k

Quantity B

3
Of the artists in the graphics department of a multimedia company, 60 percent are working or digital projects, and the remaining artists are working on hard-copy projects. Of the artists working on digital projects. 20 percent attended a fine arts school. Of the artists working on hard-copy projects, 10 percent attended a fine arts school. Of the artists in the graphics department who attended a fine arts school, what percent are working on digital projects?
Of the paperbacks in a private library, 5 percent are biographies. If 3 percent of all the books in the library are paperbacks that are biographies, what percecnt of all the books in the library are paperbacks?


Each of the eight faces of an octahedron is labeled with a different number form 1 to 8. The octahedron was rolled 36 times, and the results are shown in the graph above, where the "Number Rolled" is the number on the top face of the octahedron after it was rolled. If the octahedron is to be rolled 4 additional times, what is the greatest possible value of the average (arithmetic mean) of the 40 number rolled?
$$7^{n}$$ is a positive integer whose units digit is 9. Which of the following can be the value of n?

Indicate all such numbers.
List A contains a certain number of consecutive integers including 2. The sum of all the integers in List A is 11.

Quantity A

The number of integers in List A

Quantity B

10
How many different positive 7-digit integers begin with 555 and end with 22?
x is an integer greater than 1.

$$N=(15)^{x}(4)^{x-1}$$?

Quantity A

The tens digit of N

Quantity B

0
If $$\sqrt{108}$$ =a*$$\sqrt{b}$$, where a and b are positive integers.

Quantity A

The number of the possible values of a+b

Quantity B

3

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