Is $abc=1$?

1. $ab=1$
2. $bc=1$

If k is an integer, is k even?

1. $\frac{k}{2}$ is not an even integer.
2. $5-k$ is an even integer.

The average (arithmetic mean) price of three items sold by a store to a particular customer, before discounts, was $90. If a discount of 20% was applied at the point of purchase to all items of at least $100, what was the total discount saved by the customer?

1. The pre-discount price of the most expensive item that the customer purchased from the store was $180.
2. The pre-discount price of the least expensive item that the customer purchased from the store was $10.

The table above shows the lexical similarities, measured as a percentage of words that are similar, between any two of the four languages A, B, C, and D. For example, the lexical similarity between Language A and Language D is 70. What is the value of $a΄$?

1. The lexical similarity between B and C is 10 percent greater than that between B and A.
2. The lexical similarity between C and D is 105% that of the lexical similarity between A and C.

If $a+n=b$, what is the value of n?

1. $b=5$
2. $b+5=a$

A line segment parallel to the second-smallest side of a right triangle bisects the smallest side, forming a smaller triangle within the original one. What is the area of the smaller triangle?

1. The area of the larger triangle is 48.
2. The length of the line segment is 12.

A company offered a training program to all of its 120 employees. How many employees completed the training?

1. Of all employees, 30 percent completed more than half of the training.
2. Of all employees, 30 percent of those who began the training completed it.

Is the distance traveled in t seconds at a feet per second greater than the distance traveled in s seconds at b feet per second?

1. t is 30 greater than s.
2. a is 30 greater than b.

What amount did Panya receive in total bonus compensation in 2010?

1. Her total bonus compensation in 2010 was 20 percent of her annual regular salary earnings.
2. Panya received $8,000 more in bonus compensation during the first half of 2010 than she did in the second half.

Is  a positive number?

1) 

2)  is positive. 

In a class, is the number of people more than y years old greater than the number of people with more than w years of work experience?

1. Twenty percent of people in the class who are more than y years old have more than w years of work experience.
2. Thirty percent of people in the class with more than w years of work experience are more than y years old.

What is the value of k in the equation $25-\frac{100}{8}+k=m$?

1. $m=\frac{100}{8}$
2. $\frac{k}{m}=0$

Car X and Car Y competed with 10 other cars in a cross-country race. If Car X and Car Y drove a total of 300 miles, how many miles did Car X drive?

1. Car Y drove $\frac{3}{4}$ as many miles as Car X did.
2. Car X drove 11 percent of all the miles driven by the competitors in the race.

In a certain business, a marketing measure m is directly proportional to the sales measure s, which is in turn directly proportional to the profit measure p. What is m if $p=100$?

1. $s=40$ whenever $p=80$.
2. $m=80$ whenever $p=70$.

Within a class, 50 percent of students are members of Club #30 and 60 percent are members of Club #50. If 30 percent of the members of Club #50 are members of Club #60, how many of the members of Club #60 are members of Club #50?

1. One hundred of the students are members of Club #30.
2. Twenty-five percent of the non-members of Club #50 are members of Club #60.

If is an integer, is  $$?

(1)

(2)

If v and w are integers, is $v>w$?

1. $v+w>0$
2. $w^v<0$

In the xy-plane above, is angle QPR a right angle?

1. Line segment PQ is perpendicular to the x-axis.
2. Line segment PR is perpendicular to the y-axis.

In the coordinate system above, if $AB<BC$, is the area of region ABC greater than 12?

1. The coordinates of point B are (4,-3).
2. The coordinates of point C are (0,-7.5)

What is the capacity of a particular container?

1. The container currently contains 12 liters of fluid.
2. If 6 liters are added to the container when it is half full of fluid, the amount of fluid in the container will increase by 33.3%.