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1. Counting on Beanies Joanne sets up her Beanie Babies in a big circle with each beanie spaced an equal distance from its neighbors. She then proceeds to count them in order around the circle. Unfortunately she loses track of where she started before she finishes counting. But she realizes that she can still figure out how many Beanie Babies are in the circle by noticing that the sixth Beanie Baby is directly opposite the seventeenth beanie. How many Beanie Babies are in the circle? 2. Nine Card Arrangement Game In this game there are 9 cards placed on a table in a 3 by 3 square arrangement. Each has a one-digit number from 1-9 on it. Numbers are only used once. The numbers of the 4 corner cards are odd numbers. Row 1 contains 3 consecutive odd numbers, not necessarily in numeric order. One of the diagonals contains prime factors of 84. Numbers in row 1 are factors of 30. Numbers in column 1 are factors of 72. The column 3 total is twice the row 1 total. The column 1 total is equal to the row 3 total. Tell what digit is on each card.
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