1) 8:10 There are 12 hours on a clock. Therefore the hour hand is at 2/3 multiplied by 12 which equals 8. Since the minute hand is at 1/6 around the circle it means that 1/6 of an hour has passed. Since there are 60 minutes in an hour, 1/6 times 60 equals 10 minutes. Therefore the time is 8:10. 2) 98% Since the gardener lets out the dog 7/9 of the time, that means he forgets 2/9 of the time. In order for the dog to not be protecting the house, both the gardener and Vanderling would have to forget to let him out. This means the chance that there is no dog is 2/9 multiplied by 1/10 which rounds to 2 percent. That means that the chance that there is a dog is 100% - 2% = 98%, since the chance that there is a dog and the chance that there is no dog must add up to 100%. 3) 8:58 Since the time is between 8 and 9 pm, the time will start at 8. In order to be a palindrome, the last number must then be 8. That means out of the three numbers, two of them will add to 8 + 8 = 16. 21 - 16 = 5 so the last number is 5. Therefore the time is 8:58 4) 8 The formula for area of a circle is pi multiplied by radius squared. That means to find the radius you need to divide by pi and then take the square root of that. 50.24 divided by 3.14 equals 16. The square root of that is 4. A diameter is always twice the radius so the diameter is 8. 5) Timothy Anastasia was still eating dinner at the time of the murder so it can't be her. Clarita is afraid of dogs and there was most likely a dog at the house so it can’t be her. Thomas's shoulders are too wide to fit through the window. Zing can fit through the window but he was at a movie theater before the murderer left. Therefore it has to be Timothy since he's the only one left and there is no evidence suggesting he didn’t do it.