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The table above shows the values of one share of stock for companies $$A B$$, and c at the close of the stock market yesterday, where $$x$$ is in dollars and $$x > 2$$. Which of the following statements individually provide(s) sufficient additional information to determine the value of $$x$$? Indicate all such statements.
There are $$10$$ packages of candy on a shelf, $$4$$ that are filled with blue candies and 6 that are filled with red candies. If $$3$$ packages are to be chosen at random from the shelf without replacement, what is the probability that at least one of the $$3$$ packages will be filled with blue candies?
A student is to be selected at random from a certain class. The probability that the student will be a female is $$p$$, the probability that the student will be under the age of $$19$$ is $$r$$, and the probability that the student will be a female and under the age of $$19$$ is $$0.3$$. Which of the following could be the values of $$p$$ and $$r$$? Indicate all such values.

Quantity A

The number of integers between 10 and 100 whose least positive prime factor is 7

Quantity B

$$3$$


If an accurate 12-hour clock shows exactly 4 o'clock at a certain time, what time will the clock show exactly 1,195 hours later?
x and y are two consecutive positive odd integers.

Quantity A

The remainder when $$x^2+y^2$$ is divided by $$4$$

Quantity B

$$2$$


The reciprocal of $$x+5$$ is $$x-5$$, and $$x > 0$$.

Quantity A

$$x$$

Quantity B

$$5$$


The number of feet in the perimeter of a rectangular game board is equal to the number of square feet in the area of the game board.

Quantity A

The width of the game board

Quantity B

2 feet


A game involves $$52$$ playing chips, which are either blue, red, or white. The number of blue chips is $$\frac{1}{2}$$ the number of red chips, and the number of white chips is $$\frac{2}{3}$$ the number of red chips. Which of the following statements are true? Indicate all such statements.
Actual non-work-related expenditures in the three categories of entertainment/restaurants, groceries, and clothing include a sales tax of $$5$$ percent of the cost of the items in these categories. Of the following, which is the closest approximation to the total of the before-tax costs of the items in these three categories?
If $$23.75$$ percent of actual work-related expenditures for lunch and snacks was for soft drinks, what percent of total actual work-related expenditures was for soft drinks?
For how many of the $$14$$ categories shown did actual expenditures differ from budgeted expenditures by more than $$20$$ percent of budgeted expenditures?
Approximately what percent of the total enrollment in 1993 were part-time students?
Based on the information given, which of the following statements must be true?

Indicate all such statements.
Approximately what percent of the total enrollment in 1993 were women in 4-year colleges, given that 40 percent of all enrolled women were in 2-year colleges?
If one of the 400 companies is to be selected at random, which of the following is closest to the probability that the company selected did not offer health insurance to its full-time employees in 1992?

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