题目列表

题目内容
What is the least possible product of 4 different integers, each of which has a value from -5 to 5, inclusive?
The product of nine consecutive integers is 0.

Quantity A

The sum of the nine integers

Quantity B

30


Other than 1 and 225, how many different positive integers are factors of 225?
$$r=(2^{3})(3^{4})(5^{6})$$

$$s=(11^{3})(13^{4})(17^{6})$$

Quantity A

The number of different positive factors of r

Quantity B

The number of different positive factors of s


How many of the eleven integers greater than $$10^{7}$$ and less than $$10^{7}$$+12 are divisible by 11?

Quantity A

The area of triangular region A

Quantity B

The area of triangular region B




List L consists of at least 20 numbers, and the average (arithmetic mean) of the numbers in L is 25. If an additional number x is included in the list, the average of the numbers in L will increase by 2.

Quantity A

x

Quantity B

60




Quantity A

$$(0.001)^{-1}+(0.999)^{-1}$$

Quantity B

$$(0.002)^{-1}+(0.998)^{-1}$$




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 ?
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-1234567891011--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


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