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Of the 250 students enrolled in a college economics course, 50 percent have never taken an economics course before. If 20 percent of the students in the class are sophomores and 80 percent of the sophomores in the class have never taken an economics course before, how many of the students in the class who have taken an economics course before are not sophomores?
A beaker contained 6 grams of a solution that was 12 percent acid and 88 percent water, by weight. After some water was added to the beaker, the resulting solution was 10 percent acid, by weight. How many grams of water were added to the beaker?
For the sequence 2, x, 7, ........, there is a constant such that each term after the first equals the sum of the preceding term and that constant. What is the value of x?
x is $$\frac{1}{2}$$ of y.

Quantity A

x

Quantity B

y


Quantity A

The sum of the digits of the greatest 4-digit integer that is divisible by 1,000

Quantity B

The sum of the digits of the greatest 3-digit integer that is divisible by 10




List M consists of 100 values, all of which are positive integers. The table shows the cumulative frequency distribution of the values in M, where the cumulative frequency of each value v is the number of values in M that are less than or equal to v.

Quantity A

The number of values in M that are greater than 3

Quantity B

The number of values in M that are both greater than 1 and less than or equal to 4


List R consists of ten different values that are arranged in ascending order. The difference between each pair of consecutive values in the list is constant.

Quantity A

The average (arithmetic mean) of the values R

Quantity B

The median of the values in R


Quantity A

The greatest positive factor of 48 that is less than 20

Quantity B

The least positive multiple of 4 that is greater than 10


p is an integer.

Quantity A

$$(-1)^{p(p+1)}$$

Quantity B

1




Quantity A

w

Quantity B

10


A certain tulip farm consists of r diferent sections, each growing a diferent variety of tulip. Each section is divided into r diferent fields. Every day 5people, including Beth and Jil, are assigned ot water an equal number of fields so that hte entire farm is watered. On Monday Beth watered all the fields that were assigned to her. plus $$\frac{1}{3}$$ of the fields that were assigned to Jill.

Quantity A

The number of fields Beth watered on Monday

Quantity B

$$\frac{rt}{4}$$


x and y are positive integers.

R=10x+7

T=10y+2

Quantity A

The units digit of the product RT

Quantity B

4


If x is a rational number and y is an irrational number, which of the following statements must be true?

Indicate all such statements.
The function f is defined by f(n)=3n + 2 for all positive integers n. What is the median of the numbers in the list f(1), f(2), f(3), ..............f(99)?
A lighthouse, a bell tower, and a clock tower are represented by three points on amap. On the map, the lighthouse is 6 inches due north of the bell tower and the clock tower is 1.75 inches due east of the bell tower. The distance on the map between the lighthouse and the clock tower is how many inches greater than the distance on the map between the lighthouse and the bell tower?

Give your answer as a fraction.
A large number of people at a shopping mall were polled about their favorite pizza toppings. Every person who was polled selected either peperoni, sausage, mushroms, or no topping, and no person selected more than one topping. If $$\frac{1}{3}$$ of the people selected pepperoni, $$\frac{1}{4}$$ of the people selected sausage, and $$\frac{2}{9}$$ of the people selected mushrooms, which of the folowing could be the number of people who selected no topping?
The wellness commitee at acertain company consists of 5 men and 4 women. From the people on the committee, 3 people will be selected at random to attend a wellness seminar. What is the probability that at most 2 of the people selected will be women?
For each period of consecutive days during which the water reservoir levels in a certain town are low, the following additional charges are applied to each household:a flat fee of $0.25 for advertising costs and a service charge of $0.35 per day.If the town had three periods of low water levels last year, lasting 5, 3, and 12 consecutive days, respectively, what was the total of the additional charges per household last year due to low water levels?
Each weekday, oil is bought and sold in a market.Each morming, there is an opening price per barrel of oil, and the price changes during the day. When the market closes, the closing price,rounded to the nearest $0.01, becomes the opening price the next day. The opening price last Monday was $50.02, and the closing price that day was 3 percent greater than the opening price. On each of Tuesday and Wednesday, the closing price was also 3 percent greater than the opening price. On each of Thursday and Friday, the closing price was 2 percent less than the opening price. Approximately what was the closing price on Friday?
The area of a rectangular flower bed is 126 square meters, and the ratio of the width of the flower bed to the length of the flower bed is 2 to 7. The flower bed is to be enlarged while maintaining its rectangular shape. If the width of the flower bed will increase by 2 meters and the length of the flower bed will increase so that the ratio of the width to the length remains the same, then the area of the flower bed will increase by how many square meters?

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