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1. Census Taker: A census taker knocks on a door and asks the woman inside how many children she has and how old they are. I have three daughters, their ages are whole numbers, and the product of the ages is 36, says the mother. That is not enough information, responds the census taker. I would tell you the sum of their ages, but you would still be stumped, says the mom. I wish you would tell me something more, begs the census taker. The mom responds, Okay, my oldest daughter, Annie, likes dogs. Find the ases of the hildrt 2. Hundred Squares: How few straight lines are required on a page in order to have drawn exactly 100 squares? 3. Chessboard Rectangles: How many total rectangles are there on an 8x8 chessboard? 4. Scales: You are given 12 balls and a scale. All the 12 balls are the same size and appearance, but 1 weighs either more or less than the others. You have a set of scales (balances) on which you can put two weights. You can use the scale only three times. How can you identify the odd ball and determine whether it is heavier or lighter than the others?

question 1 or 2

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