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题目内容
A certain list consists of 25 different positive integers, where each of the integers is a multiple of the positive integer m, The greatest integer in the list is 250.

Quantity A

m

Quantity B

5
Integer $$x$$ is a multiple of $$26$$. $$R$$ is the remainder when $$15x$$ is divided by $$6$$.

Quantity A

$$R$$

Quantity B

$$0$$
$$n$$ is a positive integer.

Quantity A

The remainder when $$3^{4n+2}+5$$ is divided by 10

Quantity B

4

Quantity A

The smallest integer $$n$$, $$n \gt 2$$, such that $$n-2$$ is divisible by $$3$$, $$4$$, $$5$$, and $$6$$

Quantity B

$$362$$
If 5 minus the reciprocal of 5 is x+1, what is the value of x?

Give your answer as a fraction.
$$S$$ is the sum of 50 different numbers of the form $$1+\frac{1}{n}$$, where $$n$$ takes on positive integer values.

Quantity A

$$S$$

Quantity B

51
$$4 < x < y < 8$$

The ratio of $$x$$ to $$y$$ is 4 to 7.

Quantity A

$$y-x$$

Quantity B

3
A farmer blended corn and wheat to make 40 pounds of chicken feed. If the blend consisted of 3 parts of corn and 5 parts of wheat, by weight, how many pounds of the blend was corn?
$$x$$ is an integer.

$$1 ≤ k < 10.$$

$$\frac{120,000}{0.006}=(k)(10^x)$$

Quantity A

$$x-k$$

Quantity B

5
Which of the following is an integer?
Which of the following is equivalent to $$36^{-1}$$?

Quantity A

$$(-2)^{-5}$$

Quantity B

-1
A quadratic equation of the form $$x^2-cx+d=0$$, where $$c$$ and $$d$$ are constants, has solutions 2 and 7. What is the value of $$d$$?

_____
A lecture hall has 15 rows of seats. There are $$n-2$$ seats in the first row and $$n$$ seats in each of the other rows. If there are no other seats in the lecture hall and the total number of seats in the lecture hall is between 180 and 200, what is the total number of seats in the lecture hall?
$$x^{3} < -8$$

$$y^{2} > 16$$

Quantity A

x

Quantity B

y
The function $$f$$ is defined for all numbers $$x$$ by $$f(x) = 2+ 3x$$.

Quantity A

$$f(x+4)-f(x)$$

Quantity B

12


Quantity A

The length of line segment PQ

Quantity B

6
$$r$$, $$s$$, and $$t$$ are prime numbers such that $$r < s < t$$.

Quantity A

The number of positive factors of $$rs$$

Quantity B

The number of positive factors of $$st$$
On March 1, 2018, James deposited $12,000 in a new savings account, X, that earned interest at an annual rate of 6 percent, compounded annually. There were no other transactions in the account. On March 1, 2019, James withdrew the total amount of money in account X and deposited that money in a new savings account, Y, that earned interest at an annual rate of 7 percent, compounded annually. There were no other transactions in the account. How much more money did James have on March 1, 2020, in account Y than he would have had in account X if he had not withdrawn the money on March 1, 2019, assuming account X continued earning an annual rate of 6 percent, compounded annually, and there were no other transactions in the account?

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