#### Quantity A

Three times the sum of the prime numbers less than 10

#### Quantity B

The sum of the prime numbers between 20 and 30

Tashas favorite number can be written as$3^{2}·17^{2}$

#### Quantity A

The number of distinct positive divisors of Tashas favorite number

#### Quantity B

9

If x is a positive integer greater than 1, which of the following has the greatest value?
Which of the following CANNOT be the sum of two prime integers?
If r is an integer multiple of 8, then which of the following could NOT be divisible by r?
If x, y, and z are consecutive even integers, such that x < y < z and xyz = 960, what is the value of z?_____
Which of the following integers has both 12 and 17 as factors?
f, g, and h are consecutive prime numbers such that f < g < h.

f + g + h

#### Quantity B

3g

How many positive integers less than 20 are factors of 96?
If p and q are both positive odd integers, which of the following must be odd?Indicate all possible values.
If a and b are integers, ab = -5, and a - b > 0, which of the following must be true? I.a>-1 II.b is odd III.|a|=5
y = |y|;y = -|y|

y

#### Quantity B

0

If x and y are letters which correspond to points on the number line shown above, which of the following statements must be true? n is a positive integer.The remainder when 5n is divided by 4 is 3.

#### Quantity A

The remainder when 10n is divided by 4

2

a < 0 < b

ab

#### Quantity B

a + b

When the number of people in an office is divided by 12, the remainder is 0. If $\frac{3}{2}$ times the number of people in the office is divided by 12, and the remainder resulting from this operation is greater than 0, the remainder must be
a, b, and c are multiples of 15 and a < b < c

#### Quantity A

The remainder when b is divided by c

#### Quantity B

The remainder when (b + c) is divided by a

Emma is 3 years older than Merrick, who is 8 years younger than Aliza. If Aliza is at least 25, which of the following could be Emma`s age?Indicate all possible values.
If each letter on the number line above is the number that corresponds to the point below it, then which of the following is closest to D ÷ A? Set X consists of all the even integers from 1 to 100, inclusive, and set Y consists of all the integers divisible by 5 from 1 to 100, exclusive. How many members of set X are not members of set Y?_____

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