Try this trick out on a friend! tell your friend to place a dime in one hand and a penny in the other hand. explain that you can determine which hand is holding the penny. here’s how to do it: a. ask the friend to multiply the value of the coin in his or her right hand by 4, 6, or 8 and then to multiply the value of the coin in his or her left hand by 3, 5, or 7. 2. b. now ask the friend to add the two results together and tell you the total. c. if the total is even, the penny is in the right hand. if the total is odd, the penny is in the left hand.

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Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

Which expression will have the same sum as 3_8 + 1/4?