题目列表

The sum of three different positive integers is 11.

Which two of the following statements together provide sufficient information to determine the three integers?

Indicate two such statements.
Quantity A: The number of two-digit positive integers for which the units digit is not equal to the tens digit

Quantity B: 80
What is the sum of the integers between -90 and 95, inclusive?
If x is an odd negative integer and y is an even integer, which of the following statements must be true?

I. (3x - 2y) is odd

II. x$y^{2}$ is an even negative integer

III. ($y^{2}$-x) is an odd negative integer
m is an integer

f(n)=n(n+1)/2

Quantity A: $(-1)^{f(4m+1)}$

Quantity B: $(-1)^{f(4m+2)}$
Line k passes through point (7, 7) and is perpendicular to Line l y=-x+4. If the distance between Point O and point (7,7) is the same as the distance between Point O and the intersection point of line l and line m, then Point O could be?

Indicate all such points.
The greatest of the 21 positive integers in a certain list is 16. The median of the 21 integers is 10. What is the least possible average (arithmetic mean) of the 21 integers?
Set A={22,23,24,25,26,27}

Set B={222,223,224,225,226,227}

Quantity A: The standard deviation of integers in Set A

Quantity B: The standard deviation of integers in Set B
A normal distribution of variable X has a mean of 56 and a standard deviation of 4

Quantity A: The percentage of variable X ranging from 60 to 62

Quantity B: The percentage of variable X ranging from 62 to 64
Quantity A: The sum of angles of a square

Quantity B: The sum of any four angles of a pentagon
If the difference between the product and sum of five integers a, b, c, d, e is an even integer, then the number of even integers among these five numbers CANNOT be?

Indicate all that are true.

The diameters of the five circles all equals to 4. All the circles are tangent to each other and together inscribed in the rectangle. What is the area of the rectangle?
a=the greatest value of x such that $5^{x}$ is a factor of 1,500

b=the greatest value of y such that $3^{y}$ is a factor of 33,333,333

Which of the following statements must be true?

Indicate all such statements.
How many positive factors does 1,575 have?
If an integer greater than 100 and less than 1,000 is to be selected at random, what is the probability that the integer selected will be a multiple of 7?
Quantity A: The remainder when $3^{100}$ is divided by 8

Quantity B: 1
N= $824^{x}$, where x is a positive integer

Quantity A: The number of possible values the units digit of N

Quantity B: 4
n, k and r are all positive integers

If $n^{k}$=10r+3, then k could be?

Indicate all that are possible.
When a positive integer (less than 1,000) is divided by 5 and 6, the remainder is 2 and 3, respectively. What is the greatest possible number of such integers?
Someone needs to import a number of sets of bottles. Each bottle charges $12.04, and it also charges$4.8 for shipping each set (not single bottle but a whole set). The standard deviation of numbers of bottles in each set is 1.5. What is the standard deviation of the prices for each set?

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