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How many of the multiples of 3 between 100 and 200 are odd integers?
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Let $$n$$ be a nonnegative integer such that when $$6n$$ is divided by $$75$$, the remainder is $$30$$. Which of the following is a list of all possible remainders when $$7n$$ is divided by $$75$$?
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The units digit of $$7^{n}$$ is r, and the units digit of $$9^{n}$$ is t, where n, r, and t are positive integers. Which of the following could be the value of r+t?
Indicate all such values.
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What is the reminder when $$ (345,606)^{2}$$ is divided by 20?
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Let $$q$$ be a prime number less than $$100$$. When $$q$$ is divided by $$5$$, the remainder is $$2$$. When $$q$$ is divided by $$7$$, the remainder is $$6$$, what is the remainder when $$q$$ is divided by $$8$$?
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For all positive even integers $$n$$, $$n」$$ represents the product of all even integers from 2 to $$n$$, inclusive. For example, $$12」=12\times10\times8\times6\times4\times2$$. What is the greatest prime factor of $$20」+22」$$?
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How many positive integers less than or equal to 603 are multiples of 2 or multiples of 3 or both?
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How many integers from 1 to 1000, inclusive, have the same remainder when divided by 2, 3, 5, 7?
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How many integers between 100 and 1,000 are multiples of 7?
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If the sum of two numbers is 10, what is the greatest possible value of the product of the two numbers?
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The sum of three different positive integers is 11.
Which two of the following statements together provide sufficient information to determine the three integers?
Indicate two such statements.
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Z=$$123^{4}$$-$$123^{3}$$+$$123^{2}$$-123
What is the remainder when Z is divided by 122?
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Which of the following numbers satisfy their sum of reciprocals is either less than $$\frac{1}{3}$$ or greater than $$\frac{1}{2}$$ ?
Indicate all such numbers.
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x≠0, y≠0
|x|+|y|=|x+y|
Which of the following statements must be true?
Indicate all such statements.
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Carolyn took out a one-year loan for $15,000 at 8 percent simple annual interest. She repaid the total amount, including the interest, by making 12 equal monthly payments on the last day of each month beginning in January. At the beginning of which of the following months did Carolyn have less than $10,000 of the total amount left to the repaid?
Indicate ALL such months.
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For 7 soccer ball teams, each of them has to play with all the other teams. However, to decide which team wins, every two teams have to play 3 rounds and the team that win for the most times will ultimately win. How many rounds of game do all teams have to play in total?
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There are n positive integers. The sum of the numbers is greater than 48, while the arithmetic average of the numbers is 1.2. What is the least value of n?
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If $$1 \lt r \lt s \lt t$$, which of the following is closest in value to the product $$rst$$?
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x≠0
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n is a positive integer.
Quantity A$$\frac{1}{3^{n}}$$ Quantity B$$3(\frac{1}{4^{n}})$$
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