Magellan's Log: Brainteasers 31: 4 Headaches ANSWERS

Brainteasers 31:
4 Headaches

ANSWERS:

Headache No. 1:
Who remembers carbon paper? Take two sheets of typing paper, called Sheet A and Sheet B. In your mind put a piece of carbon paper between the two pieces of typing paper. Sheet A is on top, then you have the carbon paper with the carbon side face down, and Sheet B is on the bottom. Holding the 3 pieces together, fold them in half evenly so that Sheet A is the outsdie sheet. Now write your name on the outside piece of typing paper. Headache Question: On the 2 sheets of typing paper, how many times and where does your name appear and is it as written or is it backward?

Your name appears twice. 1) Correctly written on the top half of Sheet B, and 2) upside down and backward on the bottom half of the front of Sheet B.

Headache No. 2:
Assume that all zypoctlities are also quepoxines, but only some quepoxines are archymodoles. Which of the following statements is true?

    1. No zypoctlities can be archymodoles.
    2. If something is not quepoxines, it is also not an zypoctlities.
    3. If something is a , it cann be a zypoctlities

Only No. 2 is true.

Headache No. 3:

           xx8xx
        xx/xxxxxxx
           xxx
              xx
              xx
               xxx
               xxx
               000

           90809
        12/1089708
           108
              97
              96
               108
               108
               000

Headache No. 4:
An angry Democract kidnapped Ralph Nader and showed him 2 groups of pills. In each group were 8 pills. The Democrat said, "These pills look the same but they’re not. Eight of them are a new drug which causes anyone who takes it to develop a social conscience and become a Loyal Democrat. The other eight will cause you to become boundlessly greedy and a True Republican." The Democract then showed Ralph Nader two large boxes. "You must divide the 16 pills into these two boxes. My assistant will then choose a box and draw one pill from that box. You must then swallow that pill."

Assuming that Ralph Nader would rather live as a Democrat than as a Republican, what distribution of the pills will give him the best chance of doing so?

He should put one Loyal Democract pill in one box and put the other 15 pills in the other box. Thus, he has, first, a 50-50 chance that the assistant will choose the Loyal Democrat box. Even if the assistant chooses the other box, he still has an almost 50-50 chance of getting an L.D. pill.

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