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题目内容
N is an integer between 200 and 300, with tens digit x and units digit 5.

Quantity A

$$\frac{N}{5}$$

Quantity B

40+2x
x and y are integers such that $$0 \lt y \lt x$$.

H=100x+10x+4

G=100y+10y+2

M=(H-G)(H+G)

Quantity A

The units digit of M

Quantity B

2
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
In each round of a certain game, either 1, 3, 7, or 10 points are awarded to the winner of the round. Which of the following CANNOT be the total number of points awarded to the winner of three rounds?
Several teams will play in a tournament. Each game in the tournament will be played by two teams, where one team will win or the teams will tie. Each team will earn 3 points for each win, 1 point for each tie, and 0 points for each loss. If a team plays only four games in the tournament, which of the following could be the total number of points that the team will earn in the tournament?

Indicate all such numbers.
Carlene played in two chess tournaments, each consisting of a number of chess games, and she played more games in the second tournament than in the first tournament. In each tournament, she won at least one game and won twice as many games as she lost. She scored 1 point for each game she won, 0 points for each game she lost, and $$\frac{1}{2}$$ point for each game she neither won nor lost.

Quantity A

Carlene's total score in the first tournament divided by the number of games she played in that tournament

Quantity B

Carlene's total score in the second tournament divided by the number of games she played in that tournament
For each value x in a list of values with mean m, the absolute deviation of x from the mean is defined as |x-m|. Let Q consists of 5 positive integers greater than 10, and the mean of the integers is 20.

Which of the following statements individually provide(s) sufficient additional information to determine, for the integers in Q, the sum of the absolute deviation from the mean?

Indicate all such statements.
For each value $$x$$ in a list of values with mean $$m$$, the absolute deviation of x from the mean is defined as $$|x-m|$$.

A certain online course is offered once a month at a university. The number of people who register for the course each month is at least 5 and at most 30. For the past 6 months, the mean number of people who registered for the course per month was 20. For the numbers of people who registered for the course monthly for the past 6 months, which of the following values could be the sum of the absolute deviations from the mean?

Indicate all such values.
There are 34 different tasks assigned for 7 students (each student has at least one task). Student A is assigned more tasks than any another students, while student B is assigned fewer tasks than any other students. What is the least possible difference between the number of tasks assigned to student A and student B ?
A certain truck takes 10 trips to transport 2,000 cartons from warehouse A to warehouse B. For each trip except the 10th trip, the truck is loaded to its full carrying capacity of x cartons. On the 10th trip, the truck is loaded with the remaining cartons.

Quantity A

x

Quantity B

210
The sum of ten different positive integers is 101. What is the greatest possible value of the maximum among the integers?
Dr. Bradley treated a different number of patients on each of the 5 working days last week, and the least number of patients treated on any of the days was 20. No patient was treated on more than one day.

Quantity A

The least possible total number of patients that Dr. Bradley treated on the 5 working days last week

Quantity B

110
If $$a^{2}$$+$$b^{2}$$=$$c^{2}$$, and a, b, c are all integers. Which of the following CANNOT be the value of a+b+c?
In a two-digit integer n, the tens digit is 1, the units digit is to be determined, while the tens digit of the square of n is 2.

Quantity A

The hundreds digit of the square of n

Quantity B

2
If set S consists of the squares of the integers from -5 to 5, inclusive, how many elements are in set S?
$$3 \lt x^{2}$$ \lt 27$$

$$6 \lt y^{2} lt 69$$

Quantity A

The least possible value of the product xy, where x and y are integers satisfying the inequalities

Quantity B

-40
w, x, y and z are integers

w < x and y < z

Quantity A

wy

Quantity B

xz
0 < x < 1

-1 < y < 0

Which of the following must be true?

Indicate all such statements.
k, m, and p are integers.

If k and m are negative integers, which of the following must be negative integers?

Indicate all such integers.




In the sequence shown, each term after the first is 1 greater than the preceding term. If the sum of all the 99 terms of the sequence is 99, then what is the value of the first term of the sequence?

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