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题目内容
n is a positive integer, $$0.5^{n}$$ < 0.0002. What is the least possible value of n?
If $$\frac{1}{2^{11} 5^{17}}$$ is expressed as a terminating decimal, how many nonzero digits will the decimal have?
Which of the following numbers is farthest from number 1 on the number line?


On the number line shown, the tick marks are equally spaced. Which of the following statements about the numbers x, y and z must be true?

Indicate all such statements.


Note: Figure not drawn to scale

If x and y are numbers on the number line above, which of the following statements must be true?

I. |x+y| < y

II. x + y < 0

III. xy < 0
x > y, xy > 0

Quantity A

|x-y|

Quantity B

y


-1 < x < 1

Quantity A: |1-x|

Quantity B: 1
M > N

Quantity A

|-M| - |-N|

Quantity B

|-N| - |-M|


If x+|x|+y=7 and x+|y|-y=6 , then x+y=
What is the sum of all possible solutions of the equation

$$|x+4|^{2}$$ -10|x+4|=24
y > |x|, xy < 0

Quantity A

x+y

Quantity B

0


If |z| ≤ 1, which of the following statements must be true?

Indicate all such statements.
How many integer values of n satisfy the inequality | 3-n | ≤ 4 ?
If 6 ·| 4-k/3| > 12, which of the following could be the value of k ?

Indicate all such values.
X is the set of all integers n that satisfy the inequality 2 ≤ |n| ≤ 5.

Quantity A

The absolute value of the greatest integer in X

Quantity B

The absolute value of the least integer in X


If |3x+2| < 5, then which of the following statements must be true?

Indicate all such statements.

Quantity A

0.05 percent of 4,000

Quantity B

$$\frac{1}{200}$$ of 4,000


If x > 0, which of the following expressions are equal to 3.6 percent of $$\frac{5x}{12}$$?

Indicate all such expressions.
x is an integer

Quantity A

22 percent of x

Quantity B

$$\frac{2}{9}$$ of x


x and y are integers greater than 5. x is y percent of $$x^{2}$$.

Quantity A

x

Quantity B

10


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