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Of the following pairs of types of construction in 2013, where the first type is a public type and the second type is a private type, which pair had dollar values that were closest to each other?
The average (arithmetic mean) of 6 different positive integers is 12, and $$x$$ is the greatest of these integers. What is the greatest possible value of $$x$$?
When the integer $$n$$ is divided by 33, the remainder is 18. Which of the following must be a divisor of $$n$$?
When the integer $$n$$ is divided by 36, the remainder is 15. Which of the following must be a divisor of $$n$$?
If $$M=(3,875)^2+(5,843)^3$$, then the units digit of $$M$$ is
For a certain television show, $$\frac{1}{4}$$ of each $$\frac{1}{2}$$ hour episode is taken up by commercials. What is the total number of hours in a 24-episode season of the show that are not taken up by commercials?
Each time a certain coin is tossed, the coin lands either heads up or tails up, and the probability that the coin will land heads up is equal to the probability that the coin will land tails up. $$N$$ is the greatest number of consecutive tosses of the coin for which the probability that the coin will land head up on every toss is greater than $$0.01$$.

Quantity A

$$N$$

Quantity B

$$6$$


When filled to capacity, canisters I, II, and III hold $$R$$, $$S$$ and $$T$$ pounds of sugar, respectively. Currently, canister I is $$\frac{5}{8}$$ full of sugar, canister II is $$\frac{1}{4}$$ full of sugar, and canister III is empty. If the sugar in canisters I and II is poured into canister III, canister III will be $$\frac{3}{4}$$ full. Which of the following expresses $$T$$ in terms of $$R$$ and $$S$$?
An art supply store will cut a rectangular mat to be used for a picture frame. The outside width of the mat will be from 9 inches to 12 inches, and the outside length of the mat will be from 10 inches to 15 inches. Which of the following could be the ratio of the outside width to the outside length of the mat?
Indicate all such ratios.
$$\frac{3}{a} - \frac{b}{14}$$ =$$\frac{1}{7}$$ and $$\frac{a}{15}=\frac{2}{b}$$ If a and b satisfy the equations above, what is the value of $$\frac{a}{b}$$?

Give your answer as a fraction. $$\frac{a}{b}$$=_________
An employee at a parcel delivery company weighs four boxes labeled $$A, B, C$$, and $$D$$. Box $$A$$ weighs $$\frac{1}{4}$$ kilogram and boxes $$B$$ and C each weigh $$\frac{5}{4}$$ kilograms. The ratio of the weight of box $$A$$ to the weight of box $$B$$ is the same as the ratio of the weight of box $$C$$ to the weight of box $$D$$. What is the weight of box $$D$$, in kilograms? Give your answer as a fraction. _________kilograms
The price of p pencils is d dollars. At this rate, what is the price of $$(p+2,000)$$ pencils, in dollars?
What is the greatest possible value of $$ ||x|-3|$$ for$$ -2 \leq x \leq 3$$?
Carlos owns twice as many books as Surya and one-third as many books as Ian. Ian owns 10 more books than Emma. Which of the following statements individually provide(s) sufficient additional information to determine how many books Carlos owns?
Indicate all such statements.
$$x \gt 0$$ $$y$$ is $$25$$ percent greater than $$x$$. $$y^2$$ is p percent greater than $$x^2$$.

Quantity A

$$p$$

Quantity B

$$50$$


The manufacturing cost of a certain car model in 1995 was 10 percent greater than its manufacturing cost in 1990 and 10 percent less than its manufacturing cost in 2000.

Quantity A

The manufacturing cost of the car model in 2000 as a percent of its manufacturing cost in 1990

Quantity B

$$120%$$


The regular price of each item in a store was reduced by 15 percent during a special one-day sale. The day after the sale, the reduced price of each unsold item was replaced by its regular price. The regular price of each unsold item was what percent greater than its reduced price? Give your answer to the nearest whole percent. _________%
The rental on a certain beach house is $1,225 per week during the months of June, July, and August, and $110 per day during the rest of the year. Renting the house for 1 week during June, July, or August is what percent greater than renting the house for 1 week during the rest of the year?

Give your answer to the nearest whole percent.

_________%
Four friends had a meal at a restaurant, and the total cost of their meal was $$p$$ dollars. After adding a gratuity of 20 percent of the total cost of the meal, the friends divided the total amount, including gratuity, equally among themselves. If each of them paid $18.00, what is the value of $$p$$?_________
When the integer k is divided by $$5$$, the remainder is $$2$$. What is the remainder when $$2k-1$$ is divided by $$5$$?

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