Analyze your analytical Skill

1. Calculate the number of degrees between the hour hand and the minute hand of a clock (nondigital) that reads 3:15.
2. You have eight balls, one of which is slightly heavier than the others. You have a two-armed scale, which you are allowed to use only twice. Your challenge: find the ball that's heavier.
3. Involves water instead of balls. You have two containers, one holds five gallons, the other holds three. You can have as much water as you want. Your task: measure exactly four gallons of water into the five-gallon container.
4.You wake up one morning and there's been a power outage. You know you have 12 black socks and 8 blue ones. How many socks do you need to pull out before you've got a match?
5. the truthtellers and the liars. It goes like this: You're trying to get to Truthtown. You come to a fork in the road. One road leads to Truthtown (where everyone tells the truth), the other to Liartown (where everyone lies). At the fork is a man from one of those towns -- but which one? You get to ask him one question to discover the way. What's the question?


Answers -
1. In one hour(60 min), hour hand move 30 deg and in 1 min it will move .5 deg and in 15 mins it will move 7.5 deg. So 7.5 deg is the answer.
2. Put three balls on each side of the scale. If the arms are equal, you know the heavy ball is one of the two remaining. If the arms are unequal, take the three balls on the heavier side, pick two and weigh them against each other.
3. Fill up the three-gallon container and pour it into the five-gallon container. Do it again -- and there will be one gallon left in the three-gallon container. Empty the five, pour in the one, fill the three again and pour it into the five-gallon container -- and you've got four.
4. To get matching socks, you need to pick three -- there are only two colors, after all.
5. To find the way to Truthtown, simply ask the man, "Which way is your hometown?" Then go whichever way he points: if he's from Liartown, he'll point to Truthtown and if he's from Truthtown, well, you get it.