|
PREP07 Test 1
|
A construction company was paid a total of $500,000 for a construction project. The company's only costs for the project were for labor and materials. Was the company's profit for the project greater than $150,000?(1)The company's total cost was three times its cost for materials.(2)The company's profit was greater than its cost for labor.
|
|
|
How much is 20 percent of a certain number?(1)10 percent of the number is 5.(2)40 percent of twice the number is 40.
|
|
|
Is it true that a > b?(1)2a>2b(2)a + c> b + c
|
|
OG12 OG15
|
In a certain class, one student is to be selected at random to read. What is the probability that a boy will read?(1)Two-thirds of the students in the class are boys.(2)Ten of the students in the class are girls.
|
|
OG12 OG15
|
Is x a negative number?(1)9x >10x(2)x + 3 is positive.
|
|
|
Is the triangle above equilateral(1)x=y(2)z=60
|
|
|
If x is equal to one of the numbers $$\frac1 4$$, $$\frac3 8$$ or $$\frac2 5$$what is the value of x ?(1)$$\frac1 4<{x}<\frac1 2$$(2)$$\frac1 3<{x}<\frac3 5$$
|
|
|
For a certain play performance, adults' tickets were sold for $12 each and children's tickets were sold for $8 each. How many children's tickets were sold for the performance?(1)The total revenue from the sale of adults' and children's tickets for the performance was $5,040.(2)The number of adults' tickets sold for the performance was $$\frac1 3$$ the total number of adults' and children's tickets sold for the performance.
|
|
OG12 OG15 OG16 OG17
|
In a survey of 200 college graduates, 30 percent said they had received student loans during their college careers, and 40 percent said they had received scholarships. What percent of those surveyed said that they had received neither student loans nor scholarships during their college careers?(1)25 percent of those surveyed said that they had received scholarships but no loans.(2)50 percent of those surveyed who said that they had received loans also said that they had received scholarships.
|
|
|
In the xy-plane, is the slope of line k positive?(1)Line k passes through the points (-1, -7) and (2, 5).(2)Line k has equation y = 4x - 3.
|
|
OG12
|
If k, m, and t are positive integers and $$\frac k 6+\frac m 4=\frac t {12}$$, do t and 12 have a common factor greater than 1 ?(1)k is a multiple of 3.(2)m is a multiple of 3.
|
|
OG15 OG16 OG17 OG12 OG18 OG19 OG20 OG2022
|
k, n, 12, 6, 17What is the value of n in the list above?(1)k < n(2)The median of the numbers in the list is 10.
|
|
|
What is the value of $$x$$ ?(1)$${x}^{2}+{y}^{2}$$ = 25(2)$$xy = 12$$
|
|
OG12 OG15 OG16 OG17
|
A clothing store acquired an item at a cost of x dollars and sold the item for y dollars. The store's gross profit from the item was what percent of its cost for the item?(1)$$y - x = 20$$(2)$$\frac y x=\frac5 4$$
|
|
OG12 OG16 OG17 OG15
|
In the xy-plane,region R consists of all the points (x, y) such that 2x + 3y ≤ 6. Is the point (r, s)in region R ?(1)3r +2s =6(2)r ≤ 3 and s ≤ 2
|
|
|
If sequence S has250 terms, what is the 243rd term of S ?(1)The 242nd term of S is-494.(2)The first term of S is-12, and each term of S after the first term is 2 less than the preceding term.
|
|
OG16 OG17 OG18 OG19 OG20 OG2022
|
A certain list consists of 3 different numbers. Does the median of the 3 numbers equal the average (arithmetic mean) of the 3 numbers?(1)The range of the 3 numbers is equal to twice the difference between the greatest number and the median.(2)The sum of the 3 numbers is equal to 3 times one of the numbers.
|
|
OG15 OG16 OG17 OG18
|
The weights of all dishes of type X are exactly the same, and the weights of all dishes of type Y are exactly the same. Is the weight of 1 dish of type X less than the weight of 1 dish of type Y ?(1)The total weight of 3 dishes of type X and 2 dishes of type Y is less than the total weight of 2 dishes of type X and 4 dishes of type Y.(2)The total weight of 4 dishes of type X and 3 dishes of type Y is less than the total weight of 3 dishes of type X and 4 dishes of type Y.
|
|
|
If x, y,and z are positive integers, is xz even?(1)xy is even.(2)yz is even.
|
|
|
If w and c are integers, is w > 0?(1)w + c > 50(2)c>48
|