In the rectangular coordinate system above, point Q (not shown) is the same distance from the line y = x as point P, and it is the same distance from the y axis as point P is from the x axis. Point R (not shown) lies at both the same distance from the x axis and the same distance from the y axis as point Q, but is in a different location. If the coordinates of point P are (4, 2), which of the following are possible coordinates of point R?

If  and , then

The height of Post A is 60 percent more than that of Post B, and the height of Post B is 60 percent less than that of Post C. What percent of Post C's height is Post A's height?

If  and , then which of the following must be true?

$1-\left(\frac{2}{3}-\frac{3}{4}\right)$=

Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

If and , then

In the xy-plane, what is the slope of the line with equation $4x+5y=6$ ?

One scanning device, working at a constant rate, can scan the pages of a particular book in 11 minutes. A second scanning device, working at a constant rate, can scan the same book in 5 minutes. If both scanning devices are used on different copies of the book, one working from the front and one from the back, approximately how many minutes are required to scan the entire book?

The people who entered a room received upon entering distinct, consecutive identification numbers from 1000 to 1249. What is the probability that a person in the room selected at random will have an identification number with a hundreds digit of 1?

The sum $\frac{3}{8}+\frac{2}{9}$ is between

$\frac{\left(0.00024\right)\left(1.6\right)}{\left(0.01\right)\left(0.04\right)\left(0.003\right)}=$

The probability is $\frac{1}{2}$ that a certain coin will yield heads on any given toss. If the coin is tossed five times, what is the probability that at least one of the tosses will yield heads?

How many integers k are there such that $1<7k-14<49$ ?

The value of $3^{-2}+3^{-4}+3^{-6}$ is how many times the value of $3^{-5}$?

If A = 12! + 14! + 6, which of the following numbers is a factor of A ?

Two trains face each other 100 miles apart on two parallel tracks. Train B starts its journey towards train A at 60 miles per hour. Half an hour later, train A begins moving towards train B at 40 miles per hour. How many miles will train A travel before it passes train B?

In developing countries, broadband Internet is far more expensive than most developed countries if calculated as a percentage of the average income.

Bill went shopping for fruits and vegetables. He purchased a number of potatoes, onions, and lemons in a ratio of 1 : 3 : 5, respectively. How many potatoes did Bill buy?

(1) Bill bought a total of 27 potatoes, onions, and lemons

(2) Bill bought 9 onions