31. At the hardware store I was quoted 12
cents for one, 24 cents for 50, and 36 cents for 144. I wanted six. What was I buying and how much did it cost me?

Prices quoted were for house numbers at 12 cents per number. A number 6 cost me 12 cents.

32. If two boys and a girl can beat their father
in a tug-of-war, but their mother can win against a boy and two girls, who should win a contest between the father and a girl against the other and a boy?

The mother and boy. Pitting the 2 winning teams against the 2 losing teams (boy + boy + girl + mother versus father + boy + girl + girl) will obviously result in a win for boy + boy + girl + Mother over father + boy + girl + girl. Take a girl and boy away from each side, and boy + mother must still beat father + girl.

33. If a crab and a half weigh a pound and a
half, but the half crab weights half as much again as the whole crab, what do half the whole crab and the whole of the half crab weigh?

2.1 pounds. The `whole crab` must weigh 0.6 pounds, and the `half crab` 0.9 pounds, totaling 1 1/2 pounds. If the former were halved and the latter doubled, the weights would then be 0.3 and 1.8 pounds, totaling 2.1 pounds.

34. A chessboard has squares that are two inches
by two inches by two inches. What is the diameter of the largest circle that can be drawn on the board in such a way that the circle's circumference is
entirely on black squares?

The diameter is 6.324 inches. Diameter is equal to twice the radius.

35. Compose a grammatical and sensible sentence
in which all words begin with the same sound and yet none begin with the same letter.

Pneumonic gnomes knew mnemonic names.

36. Now compose a grammatical and sensible
sentence in which all words begin with the same letter and yet none begin with the same sound.

Ptomaine poisons Pnom-Penh`s psychedelic philosophers.

37. I started 2 watches at the same time, It
turned out that one of them went two minutes per hour too slow, and the other went one minute per hour too fast. When I looked at them again, the faster one
was exactly one hour ahead of the other. How long had the watches been running?

The faster watch gains on the slower one at the rate of three minutes every hour. After 20 hours, the faster one will be ahead by one hour.

38. What is so unusual about the number 2520?

2520 is the lowest number into which all the digits from 1 to 10 will divide evenly.

39. My first wears my second; my third might be
what my first would acquire if he went to sea. Put together my one, two, three, and the belle of New York is the girl for me. What one word am I?

40. If 20 blackbirds are on a fence and you shoot one, how many remain?

None, they would all fly away from the sound of the shot.

41. What was given to you, belongs to you exclusively and yet is used more by your friends than by yourself?

42. What is it that we often return but never borrow?

43. Every time you stand up, you lose this. What is it?

44. What is the hardest thing to deal with?

45. What is the most important thing in the world?

The letter e because it is first in everybody and everything.