|
|
A software company contracted its sister network technologies firm to upgrade its network and storage equipment. The sister firm charged the software company only for equipment and labor. What fraction of the total amount paid for the upgrade was the labor charge?1. labor cost was $10,000 less than the total cost of the upgrade.2. Without the labor charge, the total cost of the upgrade would have been only $$\frac{5}{6}$$ as much.
|
|
|
Does a = b?1.$$\frac{a}{b}=\frac{b}{a}$$2.$$({a}-{b})^{2}={a}^{2}-{b}^{2}$$
|
|
PREP07 Test 1
|
Each employee on a certain task force is either a manager or a director. What percent of the employees on the task force are directors?(1) The average (arithmetic mean) salary of the managers on the task force is $5,000 less than the average salary of all employees on the task force.(2) The average (arithmetic mean) salary of the directors on the task force is $15,000 greater than the average salary of all employees on the task force.
|
|
PREP07 Test 1
|
If it took Carol 1/2 hour to cycle from his house to the library yesterday, was the distance that he cycled greater than 6 miles? ( 1mile=5,280feet)(1) The average speed at which Carlos cycled from his house to the library yesterday was greater than 16 feet per second.(2) The average speed at which Carlos cycled from his house to the library yesterday was less than 18 feet per second
|
|
|
In the xy-plane, the sides of a certain rectangle are parallel to the axes. If one of the vertices of the rectangle is (-1,-2), what is the perimeter of the rectangle?(1) One of the vertices of the rectangle is (2, -2).(2) One of the vertices of the rectangle is (2, 3).
|
|
PREP07 Test 1
|
The Cost of a square slab is proportional to its thickness and also proportional to the square of its length. What is the cost of a square slab that is 3 meters long and 0.1 meter thick?(1) The cost of a square slab that is 2 meters long and 0.2 meter thick is $160 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.(2) The cost of a square slab that is 3 meters long and 0.1 meter thick is $200 more than the cost of a square slab that is 2 meters long and 0.1 meter thick.
|
|
|
If a is an integer and 0 < a < 7 and $${b}={a}^{7}$$, then what is the value of b?(1) $${a}^{—3}$$ > 0.01(2) $${a}^{2}$$ has a units digit of 6.
|
|
|
Is x- 2xy + y = 0?(1) Neither x nor y is an odd integer.(2) Neither x nor y is a prime integer.
|
|
|
Is p > q?1. $${p}^{3} >{q}^{3}$$2. $${p}-{q} >{0}$$
|
|
|
The remainder of a positive integer w when it is divided by 2 is?1. w is a multiple of an odd integer.2. w is a multiple of 5.
|
|
|
If Q and R denote the nonzero digits of a three-digit number QRR, is QRR divisible by 3?1. RR is divisible by 6.2. RR is divisible by 2.
|
|
|
 $$\Delta BAC = \Delta ACD$$,and the length of AC is 4. What is the area of the quadrilateral ABCD above?1. AB = 2 and $$BC = 2\sqrt3$$2. $$x°= 60$$
|
|
|
If the product of a and b is strictly positive, is the sum of a and b greater than zero?1. $${b} >{a}^{4}$$2. b = 5a
|
|
|
If 6a + b = 48, what is the value of b?1. $${4}{a}^{2}={50}$$2. $${4}{a}={b}+{2}$$
|
|
|
How much in royalties does a script writer get for a movie project, which costs $30 million to produce?1. The producers pay to the script writer an initial fee of $25,000 when the script is received.2. The script writer receives 3 percent of the box office gross receipts in excess of the cost of production.
|
|
|
How much water is needed in the mixture used by a baker to prepare the dough for a wedding cake?1. 50 guests are expected to be present at the wedding.2. The amount of dough needed is 20 kilograms, and the dough is composed of water, flour, and yeast in the proportions 3:7:2 by weight, respectively.
|
|
|
 In the quadrilateral CDEF, CD / / EF and DE / / CF. Do all sides of CDEF have the same length?1. CE = DF.2. All angles of ECDF are the same.
|
|
|
If $$\Delta$$ denotes an operation with two real numbers, what is the value of $$x\Delta y$$ ?1. $${x}\Delta {y}=\frac{x^3}{y}+\frac{y^2}{x}$$ for all x and y.2. x = 3 and y = 5
|
|
|
If u,v, and w are the lengths of the two sides and a diagonal of a parallelogram, respectively, is w> 13?1. u+ v=132. u=10
|
|
|
 While snail R starts to move from point A to C via AC directly, snail S starts to move from point B to C via BC directly. After the snails meet at point C, R moves to D with S's former speed, while S moves to E with Rs former speed. Do the snails reach their destinations simultaneously?1. S moves with the speed of 1 centimeter per minute.2. R moves twice as fast as S.
|