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Quantity A

The number of two-digit positive integers for which the units digit is not equal to the tens digit

Quantity B

80


N=11121314................50

The integer N is formed by writing the consecutive integers from 11 through 50, from left to right.

Quantity A

The $$26^{th}$$ digit of N from left to right

Quantity B

The $$45^{th}$$ digit of N from left to right


A person counts positive integers from 1 to X. Which of the following statements could determine X?

Indicate all that is/are true.
If the sum of 11 consecutive integers is 22, then what's the least of the list of numbers?
The sum of a set of n consecutive integers is 30

Quantity A: n

Quantity B: 4
List L consists of k consecutive integers, where k is an odd integer. The median of the integers in L is m. Which of the following statements must be true?

Indicate all that is/are true.

Quantity A

Product of even integers from -12 to 6 inclusive

Quantity B

Product of odd integers from -5 to 13 inclusive


Quantity A: The positive difference between the sum of all the even integers and the sum of all the odd integers from 1 to 50, inclusive

Quantity B: 25
If both $$a$$ and $$b$$ are positive odd integers, which of the following could be the units digit of the sum $$ab+1$$?

Indicate all such numbers.
Integer a is 125 more than integer b. Which of the following statement(s) must be true?

Indicate all such statements.
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


How many integers from 100 to 200 are both multiples of 3 and odd numbers?
Set A includes all the integers from 1 to 1,000, inclusive, that are divisible by 3. How many integers in Set A cannot be divided by 5?
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

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