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题目内容
$$p$$, $$s$$, and $$t$$ are probabilities and $$0 < p < s < t$$.





Quantity A

$$p+st$$

Quantity B

$$s(p+t)$$


How many integers from 1 to 2,000, inclusive, are both the square of an integer and the cube of an integer?
If $$\sqrt{108}$$ =$$a\sqrt{b}$$, where $$a$$ and $$b$$ are both positive integers, which of the following could be the value of a+b?

Indicate all such numbers.

If the area of the square is 196, when what is the area of the shaded area?
How many three-digit integers between 100 and 900, inclusive, are out there where the sum of their first two digits and last two digits are both 7?
The prizes for a certain contest are in 5 sealed envelopes: 2 containing cash and the other 3 containing gift certificates. If 2 envelopes are to be randomly selected from the 5 envelopes, one at a time without replacement, what is the probability that at least one of the envelopes selected will contain a cash prize?
Give your answer as a fraction.
On the number line, P is a point between -3 and -2, Q is a point between -1 and 0, and R is a point between 0 and 1.

Quantity A

The distance between P and Q

Quantity B

The distance between Q and R


x and y are positive integers, and x=10y+2

Quantity A

The value of the tens digit of x

Quantity B

The value of the units digit of y


Quantity A

The number of positive integers between 0 and 10, inclusive

Quantity B

The number of odd integers between 10 and 30, inclusive


n is a number from 21 to 29, inclusive. The units digit of n squared is 9.

Quantity A

The tens digit of n squared

Quantity B

6


The reciprocal of n equals 8 times the square of n.

Quantity A

$$\frac{1}{n}$$

Quantity B

2


|a|=4 and |b|=6

Quantity A

|a+b|

Quantity B

5


Mark has the same monthly salary last year. If a certain fraction of his monthly salary was spent on investment each month, then his total annual investment last year will be six times higher than his monthly salary last year. What fraction of his monthly salary was spent on investment each month last year?
For each of the years 1993 and 1994, the population of City M increased by 20 percent during the year. If the population was 280,000 on December 31, 1994, approximately what was the population on January 1, 1993?
Machine A and machine B, working simultaneously and independently at their respective constant rates, processed $$\frac{3}{4}$$ of the shipment of a certain product in 4.5 hours. Then machine A, working alone at its constant rate, processed the rest of the shipment in 6 hours. How many hours would it have taken machine B, working alone at its constant rate, to process the entire shipment of the product?

_____hours
In region A, 17 percent of the acres that are planted with corn are planted with a certain hybrid seed. In region B, which borders region A, 11 percent of the acres that are planted with corn are planted with the same hybrid seed.

Quantity A

Of all the acres planted with corn in region A and region B combined, the percent of acres that are planted with the hybrid seed

Quantity B

14%


r > s

List L consists of r values, and the average (arithmetic mean) of the values in L is 52.8. List M consists of s values, and the average of the values in M is 54.2. List K consists of the values in L and the values in M.

Quantity A

The average of the values in K

Quantity B

53.5


x-y=1

Quantity A

$$x^{2}$$ - $$y^{2}$$

Quantity B

1


x≠0

y≠0

x+y≠0

Quantity A

$$x^{-3}$$+$$y^{-3}$$

Quantity B

$$(x+y)^{-3}$$


(3.8*$$6^{25}$$) - (0.24*$$6^{26}$$) =

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