Barney is in the jackpot round on a game show and is going to try win a new car. The host places eight boxes, A to H, clockwise, in a circular arrangement. Starting with any box, Barney is to count three boxes (clockwise) and push the third box out of the circle. Continuing where he left off (with the fourth box), he resumes counting around the circle and pushes away every third box until only one box is left. If that box contains the key to the car, Barney will win the car. Which box should Barney begin with to win the car, if the key is in box H?
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1. Barney is in the jackpot round on a game show and is going to try win a new car. The host places eight boxes, A to H, clockwise, in a circular arrangement. Starting with any box, Barney is to count three boxes (clockwise) and push the third box out of the circle. Continuing where he left off (with the fourth box), he resumes counting around the circle and pushes away every third box until only one box is left. If that box contains the key to the car, Barney will win the car. Which box should Barney begin with to win the car, if the key is in box H?
2. The favorite colors of Ann, Lita, Alvin, and Johnny are red, blue, green, orange, but not necessarily in that order. No person's name contains the same number of letters of his/her favorite color. Alvin and the boy who likes blue live in different parts of the town. Red is the favorite color of one of the girls. What is each person's favorite color?
3. How many gifts in all did the "true love" send to his/her lover in the song, Twelve Days of Christmas?
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