# MATHEMATICS TRIVIA

May 19th, 2015
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1. Simplify the expression (x+a)(x–b)(x+c) ••• (x–z). 3. What is the smallest number that when divided by each of the digits 1through 9 leaves no remainder? 2. Arrange the integers 1 through 15 in a row so that the sum of any two adjacent integers is a perfect square.

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MATHEMATICS TRIVIA1. Simplify the expression (x+a)(xb)(x+c) (xz).2. Arrange the integers 1 through 15 in a row so that the sum of any two adjacent integers is a perfect square.3. What is the smallest number that when divided by each of the digits 1through 9 leaves no remainder?4. Find five different whole numbers, all less than nine, such that the sum of three of them equals the sum of the other two, and also the sum of the squares of the first three equals the sum of the squares of the other two.5. Find a 6-digit number such that if you transfer the two left-most digits

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