For a charity, m people each pledged to run 25 kilometers in a fundraising race. Each of these people convinced another m friends to pledge to run 25 kilometers. What is the value of m?

1. The initial set of m people pledged a total of $\frac{1}{25}$ of the final number pledged by themselves and their friends.
2. The total number of kilometers pledged was 15,000.

Is $3x+y=333$?

1. $x-y=33$
2. $\frac{y}{x}=\frac{1}{3}$

The cost of an item offered by Company A increased by 15 percent while the cost of that item offered by Company B decreased by 15 percent. The reduced price of Company B's item was what percent of the original price of Company A's item?

1. The increased price of Company A's item was equal to the original price of Company B's item.
2. The amount of increase in the price of Company A's item was $\frac{1}{1.15}$ the amount of decrease in the price of Company B's item.

Out of 120 people surveyed, how many own an automobile?

1. In the survey, the number of people who do not own an automobile is 2 times the number who do own an automobile.
2. In the survey, the number of people who do not own an automobile is 40 more than the number who do own an automobile.

A metal sheet measuring 18 inches by 30 inches is covered as completely as possible with non-overlapping perfectly circular cookies of identical area in n rows of m cookies. What is the value of nm?

1. Each of the cookies has a radius of 3 inches.
2. Five cookies in a row fit exactly within the longer dimension of the sheet.

What is the value of $b+d$ in the figure above?

1. $a=35$
2. $c=95$

If  and  are positive, is  ?

(1) 

(2) 

What is the value of ?

(1)

(2)

If y and z are integers, what is the value of $y+z$?

1. $y+z<8$ and $y+z>6$.
2. $1<\frac{y}{2}<\frac{z}{2}<2.5$

What is the surface area of a certain rectangular solid?

1. Two adjacent faces of the solid have areas 30 and 45, respectively.
2. The volume of the solid is 270.

In the xy-plane, region R consists of all the points (x,y) such that $5x+6y\le 30$. Is the point (r,s) in region R?

1. $6r+5s=30$
2. $r\le 6$ and $s\le 5$.

If k is a positive integer, is ${\left(\frac{1}{2}\right)}^k>0.125$?

1. $k>3$
2. ${\left(\frac{1}{2}\right)}^{k-1}<0.25$

If $\overrightarrow{z}$ denotes the greatest integer less than or equal to z, is $\overrightarrow{z}=1$?

1. $8z-1=-13+5z$
2. $1<z<2$

In quadrilateral ABCD above, CD is parallel to and is longer than AB. What is the area of ABCD?

1. $EC=75$ meters
2. $BC=30\sqrt{10}$meters

What were the total wages of a person who worked last week for 40 hours, some of which were compensated at a normal hourly rate and the remainder of which were compensated at an overtime rate?

1. The number of hours worked at the normal rate was $\frac{3}{4}$ of the total number of hours the employee worked.
2. The overtime rate was $25 per hour.

In a game, blue chips are worth a certain amount of points each, and red chips are worth a certain amount of points each. What is the total point value of 5 red chips and 3 blue chips in the game?

1. The point value of 15 red chips and 9 blue chips is 732.
2. The point value of a red chip is 12 less than the point value of a blue chip.

What is the value of $x$?

1. $x=5$
2. $x=5 \text{or }x=6.$

If the sequence S has 100 terms, what is the 7th term of S?

1. The 93rd term of S is -100, and each term of S after the first is 7 less than the preceding term.
2. The first term of S is 544.

The value of an investment increased according to a variable annual rate such that its value in 2006 was 1.43 times its value in 1998. What was the value of the investment in 1998?

1. The value was $373.80 more in 2006 than in 1998.
2. The value of the investment was $1243.11 in 2006.

If a certain computer program scans a total of 5,760 files when it runs, how many minutes will it take to complete the scan?

1. The program scans 8 files per second.
2. It takes 3 times as long to run the scan as it takes to upload the output to a server, and it takes a total of 16 minutes to do both.