# 1. The only way to get the intended magic word is to chop up the forty # answers into four equal groups, interpreting each as a letter using # a ten-bit encoding # 2. The only way to get the intended magic word is to chop up the forty # answers into five equal groups, interpreting each as a letter using # an eight-bit encoding # 3. The only way to get the intended magic word is to chop up the forty # answers into eight equal groups, interpreting each as a letter # using a five-bit encoding # 4. The statement listed three statements prior to this one is true. # 5. Of the statements that read "The statement listed three statements # prior to this one is true", at least two are true. # 6. The statement listed three statements prior to this one is true. # 7. The statement listed three statements prior to this one is true. # 8. Exactly one-sixth of the true statements occur between the first # statement and this one, inclusive. # 9. There is a sequence of four consecutive false answers, but there # are no longer sequences. # 10. There is a sequence of five consecutive false answers, but there # are no longer sequences. # 11. There is a sequence of six consecutive false answers, but there # are no longer sequences. # 12. Of the statements numbered with a multiple of twelve, an odd # number are true. # 13. Of the statements numbered with a multiple of thirteen, an even # number are true. # 14. Of the previous statement and the next statement, exactly one is # true. # 15. The next statement would be just as true as it is now if it were # replaced with: "Each statement that begins with the phrase # 'Exactly one-sixth' is true". # 16. The previous statement would be just as true as it is now if it # were replaced with: "Each statement that begins with the phrase # 'Exactly one-sixth' is true". # 17. This very statement would be just as true as it is now if it were # replaced with: "Each statement that begins with the phrase # 'Exactly one-sixth' is true". # 18. Every statement whose number yields a remainder of three when # divided by six is false. # 19. Of the previous statement and the next statement, exactly one is # true. # 20. Exactly half of the true statements occur between the first # statement and this statement, inclusive. # 21. The previous statement and the next statement are either both true # or both false. # 22. There are more true statements in the last quarter of this list # than there are in the first quarter. # 23. There are more true statements in the last quarter of this list # than there are in the second quarter. # 24. Of this statement and the two previous statements, an odd number # are true. # 25. When I told three people the magic word and asked which of the # five Zenner card symbols came to mind, a majority of them chose # the square. # 26. When I told three people the magic word and asked which of the # five Zenner card symbols came to mind, a majority of them chose # the three wavy lines. # 27. When I told three people the magic word and asked which of the # five Zenner card symbols came to mind, a majority of them chose # the circle. # 28. When I told three people the magic word and asked which of the # five Zenner card symbols came to mind, a majority of them chose # the star. # 29. This statement is part of the strictly longest consecutive stretch # of true statements. # 30. Of the statements numbered with a multiple of six, exactly # one-half are true. # 31. Of this statement and the two that follow, exactly one is true. # 32. Of the statements numbered with a power of two, exactly half are # true. # 33. The statement listed ten statements prior to this one is true. # 34. If the previous two statements are listed in the reverse order # and all statements retain their truth values, then the result is # still consistent. # 35. Of the statements numbered with a multiple of seven, exactly one # is true. # 36. Of the statements numbered with a multiple of nine, none are true. # 37. The thirtieth statement is as true as this statement. # 38. Exactly one-sixth of the true statements occur between this # statement and the last statement, inclusive. # 39. Both this statement and the next one are true. # 40. Exactly one-half of the statements numbered with a multiple of # five are true.