Solution:

Professor Frink said: 'I shall be hanged!' If he was lying, he would be hanged. But that's what the Frink was saying. So he speaks the truth. But if he speaks the truth, he would be beheaded, so then he was not speaking the truth. So it is impossible for the judge to determine wether the person speaks the truth or not. So therefore the judge cannot determine the penalty and sets him free.

Solution:

Both would be the same distance from City owlna. (since they are at a same point)

Solution:

Nine (eight sons have same one sister ,so 8+1=9)

Solution:

9^9^9

(its not 999:p)

Solution:

Simply push the cork into the bottle and shake the marble out.

Solution:

She told them that people were making calls without having to pay.

Solution:

4 socks

Although there are many socks in the draw, there are only three colors. So, four socks are enough to match one pair.

Solution:

Kristen Stewart is the youngest

Solution:

99+9/9 = 100

Solution:

Take a bottle of drinks from the "whiskey and coke bottles" box.

If there is a whiskey bottles then you know that is the "whiskey bottles" box since ALL THE boxes are labeled incorrectly.

This means the box marked "whiskey bottles" must be "coke bottles" and the box marked "coke bottles" must be "whiskey and coke bottles".