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The 25 students in an English class took a literature test. Jovan, one of the 25 students, originally received a score on the test that was 6.2 points above the average (arithmetic mean) score for the 25 students. Each student was then given an opportunity to earn 10 additional points on the test by completing an extra project, and the average was then recalculated. If Jovan earned the 10 additional points and no other student earned additional points, Jovan's new score was how many points above the recalculated average score?
The range of a list of 13 numbers is 110. The range of 10 of these numbers is 80.

Quantity A

The range of the remaining 3 numbers

Quantity B

30


List A: -8, -3, 5, 7, 14
List B: -3, 2, 10, 12, 19

Quantity A

The standard deviation of the numbers in list A

Quantity B

The standard deviation of the numbers in list B


$$n$$ and $$k$$ are integers, $$n > k > 1$$

Quantity A

$$(n-k)!$$

Quantity B

$$n!-k!$$


Set A consists of all of the positive five-digit even integers that can each be formed by using all of the digits 1, 2, 3, 4, and 5. What is the number of integers in set A?
Two balls are to be randomly selected from a bag, one at a time and without replacement. The probability that the first ball selected will be red is $$\frac{5}{8}$$. If the first ball selected is not red, the probability that the second ball selected will be red is $$\frac{2}{3}$$. What is the probability that the first or the second ball selected will be red?

Give your answer as a fraction.
In 1998, how many of the imported towels were not imported from China?
If the average (arithmetic mean) number of towels imported from China per month was the same for the last 3 months of 2000 as it was for the first 9 months of 2000, approximately how many million dozen towels were imported from China during the 12 months of 2000?
In 1999, the ratio of the number of towels imported from China to the total number of towels imported from countries other than China was closest to which of the following?


△MNO is inscribed in semicircle MNO with radius $$r$$.

Quantity A

$$x^{2}$$+$$y^{2}$$

Quantity B

$$4r^{2}$$




In the sum above, if X and Y each denote one of the digits from 0 to 9, inclusive, then X=?
For each value $$x$$ in a list of values with mean $$m$$, the absolute deviation of $$x$$ from the mean is defined as $$|x-m|$$.

A certain online course is offered once a month at a university. The number of people who register for the course each month is at least $$5$$ and at most $$30$$. For the past $$6$$ months, the mean number of people who registered for the course per month was $$20$$. For the numbers of people who registered for the course monthly for the past $$6$$ months, which of the following values could be the sum of the absolute deviations from the mean?

Indicate all such values.
Let $$\frac{1}{3}$$+$$\frac{1}{5}$$+$$\frac{1}{7}$$+$$\frac{1}{9}$$+$$\frac{1}{11}$$=$$\frac{m}{(3)(5)(7)(9)(11)}$$, where m is a positive integer. What is the remainder when m is divided by 5?
$$m$$ is an odd integer greater than $$1$$.

Quantity A

The greatest prime factor of $$2m$$

Quantity B

The greatest prime factor of $$m^{2}$$




If $$y=1-\frac{1}{x}$$, where $$x$$ is a nonzero integer, which of the following could be the value of $$y$$?

Indicate all such values.
Let $$m$$ be an integer greater than $$4$$.

Quantity A

The number of combinations of $$3m$$ objects taken $$m+9$$ at a time

Quantity B

The number of combinations of $$3m$$ objects taken $$2m-9$$ at a time


Points S and T are lies on the segment PQ, the distance of PQ is 16, the distance of PS is 7, the distance of ST is 2.

Quantity A

The distance of PT

Quantity B

The distance of QT


On May 5, 2004, the closing price of Stock A was $60.00, which was a decrease of 8 percent from the closing price of the stock on the previous day, May 4, 2004. On May 6, 2004, the closing price of the stock was exactly the same as the closing price on May 4, 2004. What was the percent increase in the closing price of the stock from May 5, 2004 to May 6, 2004?

Give your answer to the nearest whole percent.
One day in 1997 at a gas station in the United States near the border of Canada, gasoline was selling for $1.20 per gallon (United States dollars). On that day, 1 United States dollar could be exchanged for 1.25 Canadian dollars. If gasoline was being sold at an equivalent rate at a gas station across the border in Canada, which of the following calculations gives an approximate price, in Canadian dollars, for a liter of gasoline at the Canadian gas station that day? (1 gallon is approximately 3.785 liters.)
A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?

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