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题目内容
$$x$$ is a positive integer

Which of the following $$x$$ could ensure that $$10^{x}$$ is closest to $$2^{20}$$?
Which of the following is greatest?
64 < $$x^{3}$$ < 216

Quantity A

x

Quantity B

5


Which of the following is equal to an integer raised to the third power?
x, n and k are all integers, 0 < x < $$10^{7}$$, x=$$n^{k}$$

If the units digit of x is 5, and x could be transformed into both the square of an integer and the cube of an integer, then x must be?
x > 0

Quantity A

$$\sqrt{x}$$+$$\sqrt{x+1}$$

Quantity B

1


x > 3

Quantity A

$$\sqrt{5}$$* x

Quantity B

$$\sqrt{45}$$


If 5$$\sqrt{t}$$=9, then $$\sqrt{t}$$-t=?

Give your answer as a fraction.
Which of the following is equal to $$\frac{1}{\frac{\sqrt{2}+1}{\sqrt{2}-1}}$$?
$$\sqrt{500}$$=k$$\sqrt{m}$$, where k and m are positive integers. What is the greatest possible value of (m+k)?

Quantity A

$$(\sqrt{999,999,999}+\sqrt{1,000,000,001})^{2}$$

Quantity B

$$(\sqrt[3]{999,999,999}+\sqrt[3]{1,000,000,001})^{3}$$


If 4 < a < 16, and 8 < b < 27

Quantity A

$$\frac{\sqrt{a}}{\sqrt[3]{b}}$$

Quantity B

1


Quantity A

$$\sqrt[3]{625}$$

Quantity B

$$5\sqrt{5}$$


The cube root of which of the following integers is equal to $$\sqrt[3]{3}$$+$$\sqrt[3]{192}$$+$$\sqrt[3]{375}$$?
If $$x \lt -1$$, which of the following shows $$\frac{1}{\sqrt[3]{x}}$$, $$\sqrt[3]{x}$$, $$\sqrt[5]{x}$$ from least to largest?
$$\sqrt[4]{74-x^{2}}$$=$$\sqrt{7}$$ (x > 0)

What is the value of x?
An apartment building contains 60 apartments. Of the apartments in the building,$$\frac{3}{5}$$ have one bedroom and the rest have 2 or 3 bedrooms. If the 60 apartments have a total of 94 bedrooms, how many of the apartments have 3 bedrooms?
A customer purchased n items at Store F. If 5 of the n items cost $7 each and the remaining items cost $9 each, then in terms of n, what was the total cost, in dollars, of the items purchased by the customer at Store F?
At a farmers market, the price of peanuts ranges from $2 to $3 per pound and the price of cashews ranges from $4 to $5 per pound. Which of the following represents the least possible price, in dollars, of 6 pounds of the two kinds of nuts, of which p pounds are peanuts and the rest are cashews?
(n-5)*(m-10)=0

Quantity A

n + m

Quantity B

15


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