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Ready4

If , which must be greater than ?

  I.

 II.

III.

Ready4

A security code is to consist of 3 different letters of the alphabet from A to Z inclusive except the first letter cannot be a vowel (A, E, I, O, or U). How many different combinations for the security code are there?

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If , what is the value of ?

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If , what is the value of ?

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The ratio of tokens Bo has to tokens Huan has is 3:11. After Huan gives Bo 50 tokens, the ratio of tokens Bo has to tokens Huan has will be 5:9. How many more tokens will Huan have than Bo after the 50 tokens are given?

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A set of 13 different integers has a median of 40 and a range of 50. What is greatest possible integer that could be in this set?

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A set of 17 different integers has a median of 44 and a range of 45. What is greatest possible integer that could be in this set?

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Set consists of fourteen consecutive integers. If is the smallest integer in set , what is the range of positive integers in set ?

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Set consists of 16 consecutive integers. If 9 is the greatest integer in set , what is the range of negative integers in set ?

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If is the sum of even integers from to , inclusive and is the number of even integers from to , inclusive, what is ?

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The ratio of male students to female students in an art class is . If more female students join the class, the ratio of male students to female students would become . How many male students are in the art class?

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If and , which of the following must be true?

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Machines , , and took a total of 220 minutes to produce all of the parts for a new device. If machine took 2 times as many minutes as machine and 3 times as many minutes as machine , how many more minutes did machine take than machine ?

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Buildings , , and are a total of meters tall. If building is times as tall as building and times as tall as building , what is the combined height, in meters, of buildings and ?

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What is the greatest prime factor of ?

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Each item sold at a market is labeled with a 2-, 3-, or 4-digit code where each digit is selected from the digits 1 through 9, inclusive. If the digits may be repeated and if the same digits used in a different order represent a different code, how many different items at the market can be labeled with a unique code?

Ready4

The applicants to a certain college are identified using a code consisting of 2 digits followed by a letter or 3 digits followed by a letter. Each digit is selected from the digits 0 through 9, inclusive and each letter is selected from the 26 letters of the alphabet. If the digits may be repeated, and if the same digits used in a different order represent a different code, how many different applicants can be identified with these codes?

Ready4

If , , and are constants, where , and for all numbers , what is the value of ?

Ready4

If , , and are constants, where , and for all numbers :

What is the value of ?

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In the figure above, the point is the center of the circle and . What is the value of ?

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