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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 ?


In rectangle ABCD, side DC is divided into five equal segments by points P,Q,R and S.

Quantity A

The area of ∆MCQ

Quantity B

The area of ∆NSP


In the xy-plane, the point (t, t-1) lies on the line with equation y = $$ - \frac{1}{2}$$ x +$$\frac{1}{3}$$ . What is the value of t? Give your answer as a fraction.
n is an integer.

Quantity A

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

Quantity B

1


The functions f and g are defined by f (x) = |2x +1| and g(x)=3 for all numbers x. What is the least value of c for which f (c) = g (c)?
Three angles in a triangle : ∠A < ∠B < ∠C

Quantity A

∠A+∠B

Quantity B

∠C


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 man updates his two computers regularly. On June, $$1^{st}$$, he updated both of them, then update the first computer every six days (for example, the next update will be June, $$7^{th}$$), and update the second one every 8 days, so in the 30 days of month June, how many days will this man not update the computers?
S is a list with 50 numbers. If $$a_{n}= \frac{n+1}{n}-1$$ , where n is an odd number,and $$a_{n} = - a_{n-1}$$, where n is an even number, what is the range of the 50 numbers?
In a sequence,$$a_{1}=1$$,$$a_{n}=a_{n-1}+n$$,what is the value of $$a_{49}$$?
A person has 4 different coats, 3 different pairs of pants, 2 different shirts, and 4 different scarves. If he put on a jacket, a pair of pants and a shirt at one time, and a scarf is optional, in how many ways can he choose the clothes?
There are four books A, B, C, and D, how many arrangements if A and B must be next to each other?
How many different 5-digit numbers can be formed by one "1",two "2",and two "5"?
Select two numbers simultaneously from 1, 2, 3, 4, 5, what is the probability that the product of two numbers is odd?
Give your answer in fraction.
The probability of event A is 0.5, the probability of event B is 0.3, what is the greatest probability that none of the two events occur at the same time?
The probability that event A occurs is 0.6, and the probability that event B occurs is 0.8,which of the following could be the probability that both A and B occurs?
Indicate all such statements.
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?


In the following number line, |x-y|=|z-y| (x < z).

Quantity A

$$\frac{x+z}{2}$$

Quantity B

y




The tick marks shown on the number line are evenly spaced. Points D and E have coordinates of $$4^{10}$$ and $$4^{11}$$, respectively. The point that has a coordinate of $$4^{9}$$ is

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