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There are two parallel lines, and the third line intersects these two lines. Quantity A The number of points with equal distance from three lines Quantity B 3
Two sides of an isosceles triangle have lengths 5 and 5. Quantity A The perimeter of the triangle Quantity B 15
Eight students of different heights need to be arranged into two rows of seats. Each row has four seats. For each column, the student in the row ahead needs to be shorter than the student in the row behind. In how many ways can these students be arranged?
An urn contains 4 red balls, 8 green balls and 2 yellow balls. Five balls are randomly selected WITH replacement from the urn. What is the probability that 1 red ball, 2 green balls, and 2 yellow balls will be selected? Give your answer as a fraction.
An eight-digit integer is formed by three "1" and five "2". How many different such integers can be formed?
Event A and event B are independent event. If the probability that even A occurs is 0.4 and event B occurs is 0.3, what will be the probability that at least one event occurs? Give your answer as a decimal.
In an equilateral triangle ABC,three points P,Q and R are on the side AB,AC and BC, respectively. Quantity A The sum of any two interior angles in Δ ABC Quantity B The sum of any two interior angles in Δ PQR
Quantity A a Quantity B b
Quantity A x Quantity B 90
△ABC is an isosceles triangle, BA=BC, DE is parallel to AC. If the perimeter of both triangle BDE and quadrilateral ADEC equals to 18 (the length of all the sides are integers), then what is the length of DE?
n is the number of three-digit positive integers in which at least two of the digits are equal to 1. Quantity A n Quantity B 29
How many integers between 100 and 1,000 are multiples of 7?
How many of the multiples of 3 between 100 and 200 are odd integers?
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.
If $$n$$, $$k$$, and $$r$$ are positive integers such that $$n^{k}=10r+3$$, which of the following could be the value of $$n$$?
Of the paperbacks in a private library, 5 percent are biographies. If 3 percent of all the books in the library are paperbacks that are biographies, what percecnt of all the books in the library are paperbacks?
List A contains a certain number of consecutive integers including 2. The sum of all the integers in List A is 11. Quantity A The number of integers in List A Quantity B 10
What is the units digit of ($$4^{32}$$ - $$3^{32}$$)?
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?