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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.
x and y are integers, 0 < x < y, and $$x^{2}+y^{2} $$ is even. Which of the following integers must be even?

Indicate all that are true.
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.
If the difference between the product and sum of five integers a, b, c, d, e is an even integer, then the number of even integers among these five numbers CANNOT be?

Indicate all that are true.
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
If the units digit of 2$$3^{n}$$ is 7 (8 < n < 13), then what is the value of n?
If n is the units digit of $$7^{k}$$, where k is a positive integer, what is the greatest possible value of |n-7|?
What`s the units digit of the positive difference between $$32^{19}$$ and 32?
Quantity A: The remainder when $$7^{13}$$ is divided by 10

Quantity B: 7

When a prime number less than 100 is divided by 5 and 7, the remainder is 2 and 6, respectively. What`s the remainder when the prime number is divided by 8?

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