655-705 (Hard)
Today Rose is twice as old as Sam and Sam is 3 years younger than Tina. If Rose, Sam, and Tina are all alive 4 years from today, which of the following must be true on that day?
I. Rose is twice as old as Sam.
II. Sam is 3 years younger than Tina.
III. Rose is older than Tina.
705-805 (Hard)
AVERAGE COSTS OF OPERATING SUBCOMPACT, COMPACT, AND MIDSIZE CARS IN THE UNITED STATES, 1982~1986
For each of the years shown, the average cost per mile of operating a compact car minus the average cost per mile of operating a subcompact car was between
505-555 (Easy)
In 1986 the book value of a certain car was 2/3 original price, and in 1988 its book value was 1/2 the original purchase price. By what percent did the book value for this car decrease from 1986 to 1988?
505-555 (Easy)
A certain car increased its average speed by 5 miles per hour in each successive 5-minute interval after the first interval. If in the first 5-minute interval its average speed was 20 miles per hour, how many miles did the car travel in the third 5-minute interval?
Sub 505 (Easy)
In a certain school, 40 more than 1/3 of all the students are taking a science course and 1/4 of those taking a science course are taking physics. If 1/8 of all the students in the school are taking physics, how many students are in the school ?
605-655 (Medium)
In the rectangular coordinate system shown above, which quadrant, if any, contains no point (x,y) that satisfies the inequality 2 x − 3 y ≤ − 6 ?
Sub 505 (Easy)
If "basis points" are defined so that 1 percent is equal to 100 basis points, then 82.5 percent is how many basis points greater than 62.5 percent?
Sub 505 (Easy)
Envelopes can be purchased for 1.50perpackof100,1.00 per pack of 50, or 0.03each.Whatisthegreatestnumberofenvelopesthatcanbepurchasedfor7.30?
Sub 505 (Easy)
A group of store managers must assemble 280 displays for an upcoming sale. If they assemble 25 percent of the displays during the first hour and 40 percent of the remaining displays during the second hour, how many of the displays will not have been assembled by the end of the second hour?
Sub 505 (Easy)
(1/5) 2 − 1 5 * 1 4 =
Sub 505 (Easy)
An athlete runs R miles in H hours, then rides a bike Q miles in the same number of hours. Which of the following represents the average speed, in miles per hour, for these two activities combined?
Sub 505 (Easy)
If positive integers x and y are not both odd, which of the following must be even?
Sub 505 (Easy)
2 + 2 6 √ 2 = 2 + 2 6 2 =
Sub 505 (Easy)
What is the maximum number of 1 1 4 foot pieces of wire that can be cut from a wire that is 24 feet long?
505-555 (Easy)
If the variables, X, Y, and Z take on only the values 10, 20, 30, 40, 50, 60, or 70 with frequencies indicated by the shaded regions above, for which of the frequency distributions is the mean equal to the median?
505-555 (Easy)
If x, y, and z are positive integers such that x is a factor of y, and x is a multiple of z, which of the following is NOT necessarily an integer?
Sub 505 (Easy)
On a certain street, there is an odd number of houses in a row. The houses in the row are painted alternatively white and green, with the first house painted white. If n is the total number of houses in the row, how many of the houses are painted white?
Sub 505 (Easy)
If each of the two lines L1 and L2 is parallel to line L3, which of the following must be true?
Sub 505 (Easy)
The weights of four packages are 1, 3, 5, and 7 pounds, respectively. Which of the following CANNOT be the total weight, in pounds, of any combination of the packages?
Sub 505 (Easy)
When N is divided by T, the quotient is S and the remainder is V. Which of the following expressions is equal to N?