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A committee of 4 people consisting of 2 men and 2 women is to be selected from 5 sets of fraternal twins, where each set consists of one man and one woman. If only 1 person from each set of twins may be selected for the committee, what is the total number of distinct committees that can be formed?
If k is the sum of three consecutive odd integers x, y, and z, where x < y < z, what is the sum of the three consecutive odd integers that immediately follow z?
The area of square region S is equal to the area of circular region C.

Quantity A

The length of a diagonal of S

Quantity B

The length of a diameter of C


For all numbers x, the function h(x) is defined as 1 more than the greatest integer less than or equal to x.

Quantity A

h(1.5)

Quantity B

h(1.75)


A certain list has 5 entries and each entries is an integer between 55 and 70, inclusive. The median of the 5 entries is 60. If m is the average (arithmetic mean) of the 5 entries, which of the following must be true?
What is the measure of an interior angle of a regular polygon with 5 sides?


The variable x takes on integer values between 1 and 8, inclusive. The frequency distribution of x is shown in the graph above. What is the median value of x?
$$a_{1}$$, $$a_{2}$$, $$a_{3}$$, ......, $$a_{n}$$, ......

The sequence of numbers shown is defined by $$a_{1}$$=4, $$a_{2}$$=5, and $$a_{n}$$=2$$a_{n-1}$$+$$a_{n-2}$$ for all integers greater than 2. Which of the following is a number in the sequence?
In a group of 10 people, the median height is 70 inches, the average (arithmetic mean) height is 70.5 inches, and the range of the heights is 12 inches. If an additional person who is 74 inches tall joins the group, which of the three statistics must change?
When positive integer m is divided by 6, the remainder is 4. When positive integer p is divided by 6, the remainder is 5. What is the remainder when the product mp is divided by 6?


Construction workers measured the distance from two poles to a reference point A as 13 feet and 10 feet, as shown in the figure above. Which of the following values could be the distance, if feet, between the two poles?

Indicate all such values.
The primary function of the highlighted sentence is to
If both the sum and the product of the four positive integers a, b, c and d are even, what is the greatest number of these integers that could be odd?
Given 14 consecutive integers, if the sum of the first 7 integers is S, what is the sum of the other 7 integers, in terms of S?
△ABC is inscribed in a circle with center O and radius r.



Quantity A

The perimeter of △ABC

Quantity B

6r


A certain company made neither a profit nor a loss on the first 1,000 widgets it sold and made a profit of $0.50 on each widget it sold after the first 1,000. If the company's total profit from the sale of widgets was p dollars, what is the number of widgets it sold, in terms of p?
On the first day of work for a certain task, $$\frac{1}{3}$$ of the work was completed. On the second day of work for the task, $$\frac{1}{4}$$ of the work that remained was completed. What fraction of all the work for the task remained to be completed after the second day?
A circle has an arc of length 16, which is 20 percent of the circumference of the circle.

Quantity A

The area of the circle

Quantity B

$$\frac{1600}{π}$$


If N is a positive integer, then the number of prime numbers between N+1 and N+6, inclusive, CANNOT be
The function $$f$$ is defined by $$f(x)=3x+1$$ for all numbers x. If $$f(a)=a$$, what is the value of $$a$$?

Give your answer as a decimal.

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