To each of the following questions, exactly one of the alternatives is true.

logic/self.ref.small New, unsolved

New entry, edited from material collected for the archive and not yet in a released version.

Problem

To each of the following questions, exactly one of the alternatives is
true.  Which one?

1. The first question whose answer is B is question
   (A) 2
   (B) 3
   (C) 4
   (D) 5
   (E) 6

2. The only two consecutive questions with identical answers are questions
   (A) 2 and 3
   (B) 3 and 4
   (C) 4 and 5
   (D) 5 and 6
   (E) 6 and 7

3. The last question with the same answer as this one is question
   (A) 10
   (B) 9
   (C) 8
   (D) 7
   (E) 6

4. The number of questions with the answer A is
   (A) 0
   (B) 1
   (C) 2
   (D) 3
   (E) 4

5. The answer to this question is the same as the answer to question
   (A) 10
   (B) 9
   (C) 8
   (D) 7
   (E) 6

6. The number of questions with answer A equals the number of questions
   with answer
   (A) B
   (B) C
   (C) D
   (D) E
   (E) none of the above

7. Alphabetically, the answer to this question and the answer to the
   following question are
   (A) 4 apart
   (B) 3 apart
   (C) 2 apart
   (D) 1 apart
   (E) the same

8. The number of questions whose answers are vowels is
   (A) 2
   (B) 3
   (C) 4
   (D) 5
   (E) 6

9. The number of questions whose answer is a consonant is
   (A) a prime
   (B) a factorial
   (C) a square
   (D) a cube
   (E) divisible by 5

10. The answer to this question is
   (A) A
   (B) B
   (C) C
   (D) D
   (E) E

Small S.R.A.T., composed by Martin Henz, using Oz.  Improvisation on a
theme by Jim Propp.

Show solution

No solution was found in the collected postings.

The "Small SRAT" that I posted was erroneous.  Thanks to Dean Hickerson
<dean@Math.UCDavis.Edu> for pointing it out.  Here comes the correct one.

-- Martin Henz <henz@dfki.uni-sb.de>, April 1996

[ Editor: the problem above is the corrected version.  The erroneous
first version began "The answer to each of the following questions is
either A or B or C or D or E. What are the answers?" and differed in
question 5, whose alternatives were (A) 2, (B) 3, (C) 4, (D) 5, (E) 6.
For a longer test of the same kind see logic/self.ref.test. ]