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题目内容
The buyer of a certain party meal package must choose 2 of 4 main dishes and 4 of 5 side dishes. How many different combinations of main and side dishes are available to the buyer?
The probability is 0.70 that event E occurs, 0.40 that event F occurs, and 0.30 that both events occur.

Quantity A

The probability that neither event E nor event F occur

Quantity B

0.20
Let G be the set of integers from 100 to 999, and let n be the integer for which 40 percent of the integers in G are less than or equal to n.

Quantity A

2n

Quantity B

900
If $$f(x) = x^2 +5$$ for all positive integers $$x$$, which of the following must be true for each positive integer $$x$$?
<$$x$$, $$y$$>=$$(-1)^{x+y}$$ for all integers $$x$$ and $$y$$.

$$a$$ and $$b$$ are integers.

Quantity A

$$<2a, 4b>$$

Quantity B

$$<4a, 2b+1>$$
n > 4

Quantity A

The sum of the first n positive prime numbers

Quantity B

The sum of the first n positive integers
$$k$$ is a positive integer, and $$n=15k$$.

Quantity A

The number of different prime factors of $$n$$

Quantity B

4
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 $$d$$?

_____

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