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If 30 percent of the presidents and 80 percent of the vice presidents are serving their first terms, what is the least possible number of the organizations that have both their president and corresponding vice president serving their first term?
One of the vice presidents will be chosen at random. What is the probability that the vice president chosen will be one whose age is greater than 63 years given that the age of the corresponding president is less than 53 years?

Give your answer to the nearest 0.01.
Two bags, A and B, each contain marbles some of which are green. If one marble is selected at random from each bag, the probability is $$\frac{1}{21}$$ that both of the marbles selected will be green. If one marble is selected at random from bag A only, the probability is $$\frac{5}{21}$$ that the marble selected will be green. If one marble is selected at random from bag B only, what is the probability that the marble selected will be green?

Give your answer as a fraction.


In the rectangular coordinate plane, (x, y) is a point on the circle with center O and radius 1, and xy ≠ 0.

Quantity A

|$$x^3 + y^3$$|

Quantity B

1




The total number of calories from carbohydrates in a single serving of Trail Mix is approximately what percent of the total number of calories in the serving?


A certain candy bar contains a total of 28 grams of fat. The total number of grams of fat in the candy bar is what percent greater than the total number of grams of fat in one bag of Trail Mix?


Which of the following expressions gives the number of grams of Trail Mix that contain N grams of saturated fat?


The graph of the ellipse with equation $$x^2+4y^2=4$$ is show in the xy-plane. Circle C (not shown) has its center at the point (-1, 0) and a radius of 1. At how many points does the graph of circle C intersect the graph of the ellipse?


In the rectangular coordinate system shown, how many of the five points Q, R, S, T, and U have coordinates that satisfy the inequality y > -x+3?
A dog show features four breeds consisting of 3 poodles, 3 German shepherds, 3 boxers, and 2 Irish setters. If the winning group will consist of one dog from each breed, how many different winning groups are possible?
Jim exercised last Monday at 6:00 in the evening and then exercised every third day after that. For example,after last Monday,he exercised the following Thursday and then the Sunday following that.How many days after last Monday will be the next Monday he exercises?

_____days
In a list of 350 different positive integers, 70 percent of the integers are less than 500, and the least integer is x.

Quantity A

The greatest possible value of x

Quantity B

255


n is an integer greater than 10.

Quantity A

(n+2)!+(n+1)!

Quantity B

(n+3)!+n!


x > y

Quantity A

-2x

Quantity B

-2y




ABCD is a parallelogram.

Quantity A

CE

Quantity B

2


Three lamps had the same original price,but they were sold at different selling prices: A, B,and C.

Selling price A was obtained by applying a 75 percent discount to the original price.

Selling price B was obtained by applying a 50 percent discount to the original price and then applying a 25 percent discount to the discounted price.

Selling price C was obtained by applying a 60 percent discount to the original price and then applying a 15 percent discount to the discounted price.

Which of the following shows A,B,and C listed in order from least to greatest?
x,y, z, u, v, w, and t are seven nonzero integers. Which of the following values can be the number of these seven integers that are negative if xyz=uvwt?

Indicate all such values.
The function is defined by f(1)=3 and f(n+1)=f(n)+4 for all positive integers n. What is the value of f(251)?
The population of County J decreased from 4,370 to 3,980 during a 2-year period.

Quantity A

The percent decrease in the population of County J during the 2-year period

Quantity B

10%


x is a negative integer.

Quantity A

$$5^{-|x|}$$

Quantity B

1


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