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For The Mathematically Inclined


Anil Saigal 08/12/2011
PROBLEM #1 Ram went into a back to cash a check. In handling the money, the cashier, by mistake, gave him dollars for cents and cents for dollars. He pocketed the money without examining it, and spent a nickel on his way home. He then found out that he possessed exactly twice the money of the check. He had no money in his pocket before going to the bank. What was the exact amount of the check?
PROBLEM #2 In the equation A^2 + B^2 + C^2 = D^2 + E^2, A, B, C, D, and E are 5 consecutive positive integers. what are they?
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 Problems from 08/04/11
PROBLEM # 1 Factorize: x^2  x 12.
SOLUTION 1 (x4)(x+3)
PROBLEM #2 What is the second derivative of f(x) = x ^{ 1 / 3} SOLUTION 2 (2/9) x^(5/3)
Congratulations to Kishore Balsara, who was the winner of the last set of puzzles.

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