题目列表

题目内容
n > 1

When the integer n is divided by 6, the remainder is 1, and when n is divided by 8, the remainder is also 1.

Quantity A

The least possible value of n

Quantity B

49




The table shows the frequency distribution of the values in a list, where n is a positive integer such that n ≤ 100.

Quantity A

The average (arithmetic mean) of the values in the list

Quantity B

3.45




Which of the following is closest to the ratio of the expenditures for household operation services to the expenditures for nondurable goods?
If the results of this survey accurately reflect the distribution of car ownership in a population of 1.2 million families, approximately how many of the families would most likely have exactly 3 motor vehicles?

Quantity A

$$x$$

Quantity B

$$y$$


At the end of 1989, 10 million employees in the United States had their paychecks deposited electronically in their bank accounts. By the end of 1996, that number had increased to 50 million. If during the last year of the period from the end of 1989 through the end of 1996, the number of employees who had their paychecks deposited electronically increased by 10 million, what was the average (arithmetic mean) increase per year for the first 6 years in the period?
For all values of $$a$$ and $$b$$, $$(a+b)^3 =a^3+3a^2b+3ab^2+b^3$$.

Quantity A

$$(c-d)^3+3(c-d)^2d+3(c-d)d^2+d^3$$

Quantity B

$$c^3$$


What is the greatest possible area of a rectangular region whose perimeter is 60?
Examinees who received a score of 6 or more passed the test. Which of the following is closest to the average (arithmetic mean) score of the examinees who passed the test?
What was the median score?
Which of the following is closest to the percent of the examinees who received scores that were within 1.0 standard deviation of the mean?
A certain defective printer does not print all $$n$$ pages, where $$n$$ is the total number of pages in a print job, except when $$n=1$$. The printer prints $$\frac{n}{2}$$ pages when $$n$$ is even and $$\frac{n+1}{2}$$ pages when $$n$$ is odd.

Quantity A

The number of pages the printer prints when 7 pages are requested in a print job

Quantity B

The number of pages the printer prints when 8 pages are requested in a print job


What is the sum of the integers from 4 to 120?
$$\frac{4}{3}x+7=11$$

Quantity A

x

Quantity B

2




The figure shows an equilateral triangle that lies insidea square. All of the sides of the triangle and all of the sides of the square have the same length.

Quantity A

The sum of the areas of the shaded regions

Quantity B

The area of the equilateral triangle


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