#### Quantity A

The number of distinct prime factors of $20^{6}$

#### Quantity B

The number of distinct prime factors of $32^{10}$

X = sum of the first 31 positive odd integers

Y = sum of the first 30 positive even integers

x-y

#### Quantity B

30

x is a positive integer. k is the remainder when$x^{3}-x$ is divided by 3.

k

#### Quantity B

1

x and y are integers greater than 5.

x is y percent of $x^{2}$.

x

#### Quantity B

10

x is a positive integer.

When x is divided by 2, 4, 6 or 8, the remainder is 1.

x

#### Quantity B

24

16,000 has how many positive divisors?_____
x is a positive integer less than 100. When x is divided by 5, the remainder is 4, and when x is divided by 23, the remainder is 7. What is the value of x?_____
Which of the following are divisors of 1.2*$10^{10}$?
If x and y are integers, and $w=(x^{2})y+x+3y$, which of the following statements must be true?

Indicate all such statements.
2600 has how many positive divisors?
If a, b, c, d, e and f are integers and (ab + cdef)< 0, then what is the maximum number of integers that can be negative?
n is a positive integer, and k is the product of all integers from 1 to n inclusive. If k is a multiple of 1440, then the smallest possible value of n is
How many odd, positive divisors does 540 have?
M is a positive two-digit number. When the digits are reversed, the number is N. If K = M + N, which of the following is true?
If x is the greatest common divisor of 90 and 18, and y is the least common multiple of 51 and 34, then x + y =
If k is a non-negative integer and $15^{k}$?is a divisor of 759,325 then $3^{k}?-k^{3}?$
If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor of 2x and 3y?
If n = 2*3*5*7*11*13*17, then which of the following statements must be true?

I. $n^{2}$ is divisible by 600

II. n + 19 is divisible by 19

III. $\frac{n+4}{2}$is even
In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?
If x is an odd negative integer and y is an even integer, which of the following statements must be true?

I. (3x - 2y) is odd

II. $xy^{2}$ is an even negative integer

III. $(y^{2}-x)$ is an odd negative integer

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