题目列表

In a plane, points P and Q are 20 inches apart. If point R is randomly chosen from all the points in the plane that are 20 inches from P, what is the probability that R is closer to P than it is to Q ?
n is an integer.

Quantity A

$(-1)^{n}(-1)^{n+2}$

Quantity B

1

Amy and Jed are armong the 35 people, who are standing in a line, one behind the other, waiting to buy movie tickets. The number of people in front of Amy plus the number of people behind Jed is 24. If there are 15 people behind Amy, including Jed, how many people are in front of Jed?
List L consists of 11 different positive numbers. The sum of the 6 smallest numbers in L is 35, and the sum of the 6 greatest numbers in L IS 125. If the sum of all the numbers in L is 142, what is the median of the numbers in L?
A restaurant has a total of 16 tables, each of which can seat a maximum of 4 people. If 50 people were sitting at the tables in the restaurant, with no tables empty, what is the greatest possible number of tables that could be occupied by just 1 person?
A set consists of all three-digit positive integers with the following properties. Each integer is of the form JKL, where J, K, and L are digits; all the digits are nonzero; and the two-digit integers JK and KL are each divisible by 9. HOW many integers are in the set?
$5^{a}$ is a factor of 1,500, and let b be the greatest integer such that $3^{b}$ is a factor of 33,333,333. Which of the following statements are true?

Indicate all such statements.
What is the units digit of ($4^{32}$ - $3^{32}$)?
P, Q, and T are three distinct points in a plane.

Quantity A

The number of lines in the plane that pass through points P, Q and T

Quantity B

1

For the convex polygon above, which of the following intervals contains all possible value of x?
If $a_{1}=2$, $a_{2}=3$, $a_{n}=a_{n-1}*a_{n-2}$ (n≥3),then $a_{8}$ is?
Five gift cards (one 100-dollar card, one 50-dollar card, one 25-dollar card and two 10-dollar card) have to be assigned to ten kids such that each kid receives no more than one card. In how many ways can these five cards be distributed?
In a box, the probability that the red ball is selected is $\frac{5}{8}$. Mark randomly selects balls twice from the box without replacement. If he didn`t get a red ball in the first attempt, then the probability that he gets a red ball in the second attempt is $\frac{2}{3}$. What is the probability that Mark get at least one red ball?
In 1998, how many of the imported towels were not imported from China?
If the average (arithmetic mean) number of towels imported from China per month was the same for the last 3 months of 2000 as it was for the first 9 months of 2000, approximately how many million dozen towels were imported from China during the 12 months of 2000?
In 1999, the ratio of the number of towels imported from China to the total number of towels imported from countries other than China was closets to which of the following?
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.
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

$a_1$ , $a_2$ , $a_3$ , ...... , $a_{99}$

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?
Which of the following could be a factor of $\frac{9!}{(6!*3!)}$?

Indicate all such numbers.

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