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$$a_1$$, $$a_2$$, $$a_3$$,......$$a_{99}$$

In the sequence shown, each term after the first is 1 greater than the preceding term. If the sum of all the 99 terms of the sequence is 99, then what is the value of the first term of the sequence?
The product of five consecutive integers is not 0.

Which of the following statements individually provide(s) sufficient additional information to determine all these integers are negative?

Indicate all such statements.
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?
List L consists of an odd number of consecutive integers. The median of the integers in L is 3. Which of the following statements must be true?

Indicate all such statements.
$$q$$, $$r$$ and $$s$$ are consecutive positive integers and $$q \lt r \lt s$$.

Quantity A

$$\frac{qs}{r}$$

Quantity B

$$r-\frac{1}{r}$$

Quantity A

The number of odd integers between $$\sqrt{12}$$ and $$12^{2}$$

Quantity B

70
If x=2y+1, and y=2w, where w, x, and y are integers, which of the following must be an odd integer?
If r, s, t, and u are positive integers such that (r+s)(t+u) is an odd integer and (r+s+t)(s+t+u) is an odd integer, which of the following statements must be true?
If x+y=8x+22, then which of the following statements must be true?

Indicate all such statements.
If x, y and z are consecutive positive integers and if x+y+z is even, how many of the four integers xy, yz, zx, and xyz are even?
Among all the positive integers in 1-100(inclusive).

Quantity A

The number of the odd integers that are perfect square

Quantity B

The number of the even integers that are perfect square
Which of the following statements are true for all integers a and b?

Indicate all such statements.
If x, y and z are consecutive positive integers and if x+y+z is even, how many of the four integers xy, yz, zx, and xyz are even?
x < 0

Quantity A

$$(x^{-1})^{-3}$$

Quantity B

$$x^{-4}$$

Quantity A

$$(-7)^{52}$$

Quantity B

$$(-7)^{81}$$
If -x < y < 0, which of the following statements is true about the three quantities $$(x+y)^{2}$$, $$y^{2}$$ - $$x^{2}$$, and $$x^{2}$$ - $$y^{2}$$ ?

Quantity A

$$(24-25)^{50}$$

Quantity B

$$(77-76)^{-1}$$
x and y are consecutive positive integers (x < y)

Quantity A

$$(-3)^{(x)^{2}}$$

Quantity B

$$(-3)^{(y)^{2}}$$
n is an integer

Quantity A

$$\frac{(-1)^{11n+7}}{(-1)^{5n-2}}$$

Quantity B

-1

Quantity A

The number of odd integers between $$\sqrt{12}$$ and $$12^{2}$$

Quantity B

70

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