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Mr. Kale spent $55 at Supermarket $$X$$ yesterday afternoon at 2:00. If the 40 male customers who shopped there between 1:00 and 3:00 yesterday afternoon were ranked in descending order from greatest to least according to the amount spent, $$n$$ percent of them would rank below Mr. Kale. What is the maximum possible value of $$n$$?
Of the customers who spent more than $19.99 but less than $30.00 at Supermarket X between 1:00 and 3:00 P.M. yesterday, the total amount of money spent by male customers was twice the total amount of money spent by female customers. What is the least possible value for the total amount of money these female customers could have spent?
The positive integer $$r$$ is a multiple of $$21$$.

Quantity A

The remainder when the integer $$20r$$ is divided by $$12$$

Quantity B

$$0$$


If $$-1 \lt x \lt y \lt 0$$, which of the following shows $$x+y, xy$$, and $$xy^2$$ in increasing order?
If $$c^3d^2 \lt 0$$, which of the following statements must be true?
Indicate all such statements.
What is the greatest prime divisor of the product of $$123$$ and $$255$$?
When positive integer $$n$$ is divided by $$11$$, the remainder is $$5$$.

Quantity A

The remainder when $$7n$$ is divided by $$11$$

Quantity B

$$2$$


If n is an integer and $$\frac{n-5}{2}$$is an integer, which of the following must be an integer?

Quantity A

The least common multiple of $$10, 15$$, and $$16$$

Quantity B

The least common multiple of $$20, 15$$, and $$16$$


What is the sum of all the integers between 100 and 400 that have only three positive factors?

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