|
OG18-数学分册
|
If S is the sum of the reciprocals of the 10 consecutive integers from 21 to 30, then S is between which of the following two fractions?
|
|
OG18-数学分册
|
There are 10 books on a shelf, of which 4 are paperbacks and 6 are hardbacks. How many possible selections of 5 books from the shelf contain at least one paperback and at least one hardback?
|
|
OG18-数学分册
|
Becky rented a power tool from a rental shop. The rent for the tool was $12 for the first hour and $3 for each additional hour. If Becky paid a total of $27, excluding sales tax, to rent the tool, for how many hours did she rent it?
|
|
OG18-数学分册
|
On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, $$\frac{4}{5}$$ of the rolls in the batch were sold, each at a price that was 50 percent greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20 percent less than the price of the day before. What was the bakery's profit on this batch of rolls?
|
|
OG18-数学分册
|
If $$4 < \frac{7 - x}{3}$$, which of the following must be true?I. 5 < xII. |x + 3| >2III. - (x + 5 ) is positive.
|
|
OG18-数学分册
|
How many integers n are there such that r < n < s?(1) s- r = 5(2) r and s are not integers.
|
|
OG18-数学分册
|
In the sequence $$ x_{0}, x_{1}, x_{2}, ..., x_{n}$$, each term from $$ x_{1}$$ to $$x_{k}$$ is 3 greater than the previous term, and each term from $$x_{k+1}$$ to $$x_{n}$$ is 3 less than the previous term, where n and k are positive integers and k < n. If $$ x_{0} = x_{n} = 0$$ and if $$ x_{k} = 15$$, what is the value of n?
|
|
OG18-数学分册
|
A certain manufacturer sells its product to stores in 113 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer's product per store, which of the following is closest to the total number of units of the manufacturer's product sold worldwide last year?
|
|
OG18-数学分册
|
If the amount of federal estate tax due on an estate valued at $1.35 million is $437,000 plus 43 percent of the value of the estate in excess of $1.25 million, then the federal tax due is approximately what percent of the value of the estate?
|
|
OG18-数学分册
|
If $$\frac{3}{10^{4}}$$ = x%, then x =
|
|
OG18-数学分册
|
The cost to rent a small bus for a trip is x dollars, which is to be shared equally among the people taking the trip. If 10 people take the trip rather than 16, how many more dollars, in terms of x, will it cost per person?
|
|
OG18-数学分册 OG19-数学分册
|
The perimeter of rectangle A is 200 meters. The length of rectangle B is 10 meters less than the length of rectangle A and the width of rectangle B is 10 meters more than the width of rectangle A. If rectangle B is a square, what is the width, in meters, of rectangle A ?
|
|
OG18-数学分册 OG19-数学分册
|
If a, b, and c are constants, a > b > c, and $$x^{3} ‒ x = (x ‒ a)(x ‒ b)(x ‒ c)$$ for all numbers x, what is the value of b ?
|
|
OG18-数学分册
|
 In the figure shown, lines k and m are parallel to each other, Is x = z?(1) x = w(2)y = 180 - w
|
|
OG18-数学分册
|
If x and y are integers, what is the value of x?(1) xy = 1(2) $$x\neq - 1$$
|
|
OG18-数学分册
|
If x > 0, what is the value of x?(1) $$x^{3} - x = 0$$(2) $$ \sqrt[3]{x} - x = 0$$
|
|
OG18-数学分册
|
What is the sum of the first four terms of sequence S?(1) After the first two terms of S, the value of each term of S is equal to the average (arithmetic mean) of the last two preceding terms.(2) The average (arithmetic mean) of the first three terms of S is 10.
|
|
OG18-数学分册
|
In a certain order, the pretax price of each regular pencil was $0.03, the pretax price of each deluxe pencil was $0.05, and there were 50% more deluxe pencil than regular pencils. All taxes on the order are a fixed percent of the pretax price. The sum of the total pretax price of the order and the tax on the order was $44.10. What was the amount, in dollars, of the tax on the order?(1) The tax on the order was 5% of the total pretax price of the order.(2) The order contained exactly 400 regular pencils.
|
|
OG18-数学分册
|
If $$rs\neq 0$$, is $$ \frac{1}{r} + \frac{1}{s} = 4$$(1) r + s = 4rs(2) r = s
|
|
OG18-数学分册
|
If S is a set of four numbers w, x, y, and z, is the range of the numbers in S greater than 2?(1) w - z >2(2) z is a the least number in S.
|