题目列表

题目内容
If c and d are odd positive integers, which of the following could be odd?

Indicate all such expressions.
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. x$$y^{2}$$ is an even negative integer

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

Quantity A

The number of integers from 1 to 100 (inclusive) that are both even and the square of an integer

Quantity B

The number of integers from 1 to 100 (inclusive) that are both odd and the square of an integer


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.
r, s, and t are three consecutive odd integers such that r < s < t.

Quantity A

r + s + 1

Quantity B

s + t – 1


If j and k are even integers and j < k, which of the following equals the number of even integers that are greater than j and less than k?
w, x and y are consecutive even integers. wxy=0, w < x < y.

Quantity A

x

Quantity B

0


Which of the following CANNOT be the sum of $$6$$ consecutive odd integers?
Which of the following number has more even divisors than odd divisors?
What is the least positive integer that is not a factor of 25! and is not a prime number?
If k is the greatest positive integer such that $$3^{k}$$ is a divisor of 15! then k =?
Let a be the greatest integer such that $$5^{a}$$ is a factor of 1,500, and let b be the greatest integer such that $$3^{b}$$ is a factor of 33,333,333. Which of the following statements are true?

Indicate all such statements.
If both $$2^{a}$$ and $$3^{b}$$ are factors of 12!, what is the greatest possible value of (a+b)?
How many positive factors does 1,575 have?
16,000 has how many positive divisors?
If both n and $$\frac{72}{n}$$ are positive integers, then how many values could n have?
Of the positive integers that are less than 25, how many are equal to the sum of a positive multiple of 4 and a positive multiple of 5?
The square of which of the following numbers is 4 more than the positive multiple of 5?

Indicate all such numbers.
What is the number of integers between 1 and 226, inclusive, that are both multiples of 4 and perfect square numbers?
How many integers from 100 to 200, inclusive, are multiples of 5 but not multiples of 4?

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