AMC 10A Year 2005 Problem 21 Sequential Hints

AMC 10A Year 2005 Problem 21 Sequential Hints

Understand the problem For how many positive integers (n) does 1+2+3+4+….+n evenly divide from 6n? (a)3.       (b)5.       (c)7.       (d)9.       (e)11 Source of the problem American Mathematical Contest 2005 10A Problem 21 Topic Number Theory  Difficulty Level...
AMC 10A Year 2005 Problem 22 Sequential Hints

AMC 10A Year 2005 Problem 22 Sequential Hints

Understand the problem Let S be the set of the 2005 smallest positive multiples of 4, and let T be the set of the 2005 smallest positive multiples of 6. How many elements are common to S and T? (a) 166.       (b)333.      (c)500.      (d)668.      (e)1001 Source of...
AMC 10A Year 2006 Problems 21 Sequential Hints

AMC 10A Year 2006 Problems 21 Sequential Hints

Understand the problem How many 4 digit positive numbers have at least that is a 2 or a 3? (a)2439.     (b)4096.     (c)4903.     (d)4904.     (e)5416 Source of the problem American Mathematical Contest 2006 10 A Problem 21 Topic Combinatorics  Difficulty Level 4/10...
AMC 10A Year 2007 Problem 20 Sequential Hints

AMC 10A Year 2007 Problem 20 Sequential Hints

Understand the problem Suppose that the number (a) satisfies the equation (a)+(frac{1}{a})=(4) What is the value of (a^4)+(frac{1}{a^4})?   (a) 164.        (b)172.       (c)192.       (d)194.       (e)212 Source of the problem American Mathematical Contest 2007...