1. Juana threw five darts at a dartboard. The possible scores on the target were 2, 4, 6, 8, and 10. Each dart hit the target. Which of these total scores can be quickly identified as not possible: 38, 23, 58, 30, 42, 31, 26, 6, 14, or 15? (Don't spend more than 1 minute on this problem.) 2. Three cousins, Bob, Chris, and Phyllis, were sitting around watching football on TV The game was so boring that they started talking about how old they were. Bob (the oldest) noticed that they were all between the ages of 11 and 30. Phyllis noticed that the sum of their ages was 70. Chris (the youngest) pointed out, "If you write the square of each of our ages, all the digits from 1 to 9 will appear exactly once in the digits of the three squares." How old was each person? 3. They (the tallest) is older than Miguel (the lightest). Jerel (the oldest) is shorter than Nate (the heaviest). No one has the same rank in any category. For example, if someone is the second tallest, he can't also be the second heaviest or the second oldest. Rank the four roommates in each category: age, height, and weight. .