A line in the -coordinate plane passes through the points and . Does this line pass through point ?

(1) The coordinates of point are

(2) Point is equidistant from points and

For three positive integers a, b, and c, is a% of b less than b% of c?

(1) a = c

(2) c − b = b − a

Individuals who dedicate themselves to the struggle for human rights, social welfare, and international harmony not only do commendable work themselves but also inspire others to take up similar causes.

If and are positive integers and if , which of the following must be true?

Bringing the American banks back from the brink of insolvency after the sub-prime mortgage crisis was a government-sanctioned financial bailout.

The set of protected variables in all computer programming languages place limitations on what users can name one's own variables.

The English drink a type of coffee brought to England by the Italians who migrated there during the world war; their coffee is basically Italian to which has been added American, French and Indian flavors.

By studying the purchasing patterns of consumers across the globe, retailers have discovered a striking similarity between consumer behavior in developed countries and consumer behavior in developing countries, a similarity that indicates the increased importance of global trends.

By utilizing a disciplined and methodical approach to the game, the new football team has not only defeated every other team in the league but also forced them to rethink their strategies.

The new anti-corruption law passed by the government last month grants investigating agencies broad discretionary powers that enable them, among other things, to freeze the bank accounts of those accused of corruption and bribery.

Factories A and B are each equipped with identical manufacturing equipment and produce a similar number of items each week. However, the quality assurance team in factory A consistently finds far fewer defects in its factory's products than does the team in factory B. Therefore, follows that the staff at factory B must be underperforming.

Which of the following, if true, would most weaken the conclusion above?

The proposed increase in the number of community hospitals over the coming year should boost medical care in several rural and urban regions, making basic health care much more accessible than three years ago.

Air and water pollution have done seriously and possibly irreversible damage to the famous white marble on the facade of the Taj Mahal, India's best-known monument.

If x, y and p are positive integers, is p even?

(1) p = xy and y is odd

(2) p = $\frac{x}{y}$ and x is odd

If students are fans of both football and basketball, how many students are fans of football but not fans of basketball?

(1) students are basketball fans.

(2) students are football fans.

Is x − 2 an odd number?

(1) x is a prime number

(2) x is two times a positive integer K

What is the sum of x, y, and z?

(1) $x:y:z=3:8:9$

(2) $y-x=20$

According to the 2011 U.S. Census, the number of girls enrolled in public schools has grown every year since 1990.

If $x={\left(\frac{1}{64}\right)}^{-\frac{1}{6}}$, what is $x$?

Johan rides his bicycle to and from college every day, and the round-trip takes hours. If the radius of his bicycle's front wheel is centimeters and the wheel makes revolutions over the course of the round-trip, then which of the following is closest to Johan's average speed in kilometers per hour?