Problem 1: Suppose you have a clock that only shows time in a 12-hour format. If it's currently 4:30 PM, what will be the time after 137 hours?*10 pointsAfter 137 hours, it will be 6 hours later on the clock. Therefore, the time will be 10:30 PM.After 137 hours, it will be 7 hours later on the clock. Therefore, the time will be 11:30 PM.After 137 hours, it will be 5 hours later on the clock. Therefore, the time will be 9:30 PM.After 137 hours, it will be 4 hours later on the clock. Therefore, the time will be 8:30 PM.Problem 2: A group of friends decides to rotate the role of hosting a weekly game night. If they start at Alice's house this week and rotate every 4 weeks, where will the game night be 17 weeks from now?*10 pointsAfter 17 weeks, the game night will be at the house of the friend who is three position ahead in the rotation. If Alice starts, then it will be at the second person's house.After 17 weeks, the game night will be at the house of the friend who is two position ahead in the rotation. If Alice starts, then it will be at the second person's house.After 17 weeks, the game night will be at the house of the friend who is one position ahead in the rotation. If Alice starts, then it will be at the second person's house.After 17 weeks, the game night will be at the house of the friend who is of no position ahead in the rotation. If Alice starts, then it will be at the second person's house.