Self-Referential Aptitude Test

[Jeff Bone]

X.

Rohit Khare wrote:

> Sick, sick stuff!
>
> http://www.math.wisc.edu/~propp/srat.html
>
> SELF-REFERENTIAL APTITUDE TEST, by Jim Propp (propp@math.wisc.edu)
>
> The solution to the following puzzle is unique; in some cases the
> knowledge that the solution is unique may actually give you a short-cut
> to finding the answer to a particular question, but it's possible to
> find the unique solution even without making use of the fact that the
> solution is unique.  (Thanks to Andy Latto for bringing this subtlety
> to my attention.)
>
> I should mention that if you don't agree with me about the answer to #20,
> you will get a different solution to the puzzle than the one I had in mind.
> But I should also mention that if you don't agree with me about the answer
> to #20, you are just plain wrong.  :-)
>
> You may now begin work.
>
>   1. The first question whose answer is B is question
>      (A) 1
>      (B) 2
>      (C) 3
>      (D) 4
>      (E) 5
>
>   2. The only two consecutive questions with identical answers are questions
>      (A) 6 and 7
>      (B) 7 and 8
>      (C) 8 and 9
>      (D) 9 and 10
>      (E) 10 and 11
>
>   3. The number of questions with the answer E is
>      (A) 0
>      (B) 1
>      (C) 2
>      (D) 3
>      (E) 4
>
>   4. The number of questions with the answer A is
>      (A) 4
>      (B) 5
>      (C) 6
>      (D) 7
>      (E) 8
>
>   5. The answer to this question is the same as the answer to question
>      (A) 1
>      (B) 2
>      (C) 3
>      (D) 4
>      (E) 5
>
>   6. The answer to question 17 is
>      (A) C
>      (B) D
>      (C) E
>      (D) none of the above
>      (E) all 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) 4
>      (B) 5
>      (C) 6
>      (D) 7
>      (E) 8
>
>   9. The next question with the same answer as this one is question
>      (A) 10
>      (B) 11
>      (C) 12
>      (D) 13
>      (E) 14
>
> 10. The answer to question 16 is
>      (A) D
>      (B) A
>      (C) E
>      (D) B
>      (E) C
>
> 11. The number of questions preceding this one with the answer B is
>      (A) 0
>      (B) 1
>      (C) 2
>      (D) 3
>      (E) 4
>
> 12. The number of questions whose answer is a consonant is
>      (A) an even number
>      (B) an odd number
>      (C) a perfect square
>      (D) a prime
>      (E) divisible by 5
>
> 13. The only odd-numbered problem with answer A is
>      (A) 9
>      (B) 11
>      (C) 13
>      (D) 15
>      (E) 17
>
> 14. The number of questions with answer D is
>      (A) 6
>      (B) 7
>      (C) 8
>      (D) 9
>      (E) 10
>
> 15. The answer to question 12 is
>      (A) A
>      (B) B
>      (C) C
>      (D) D
>      (E) E
>
> 16. The answer to question 10 is
>      (A) D
>      (B) C
>      (C) B
>      (D) A
>      (E) E
>
> 17. The answer to question 6 is
>      (A) C
>      (B) D
>      (C) E
>      (D) none of the above
>      (E) all of the above
>
> 18. 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
>
> 19. The answer to this question is:
>      (A) A
>      (B) B
>      (C) C
>      (D) D
>      (E) E
>
> 20. Standardized test is to intelligence as barometer is to
>      (A) temperature (only)
>      (B) wind-velocity (only)
>      (C) latitude (only)
>      (D) longitude (only)
>      (E) temperature, wind-velocity, latitude, and longitude
>
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