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Self-Referential Aptitude Test (Posted on 2006-01-17) Difficulty: 4 of 5
Created by Jim Propp, this is a logic classic, IMHO.

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 quesions 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 preceeding 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   B) wind-velocity   C) latitude   D) longitude   E) all of the above

See The Solution Submitted by Bob Smith    
Rating: 4.3571 (14 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(3): logic error | Comment 12 of 28 |
(In reply to re(2): logic error by Scott)

But with all things considered, the answer to #9 is, in fact, not A, so #10 is not "the next question with the same answer".

By your logic, it seems #19 would have to be A just because you read right to left. This is simply ludicrous. Obviously, the solution to #19 is the answer which makes all the other answers correct. The same is true for #9 and all the others. The bottom line is that solution to this puzzle is a single set of twenty answers, not twenty independent answers.

What if instead of deducing #10 to be A first we took a different order where we deduced #13 to be D and eliminated D as a possibility from #10, #11, and #12. Then wouldn't we be just as certain that #9 was D? Of course not, we can only solve any of these questions through the process of elimination.

The use of the word "next" is to indicate that there are no other questions with the same answer between #9 and whichever question #9 is referencing. But just because you recognize that if #9 were A it would correspond correctly with #10 it still does not mean #9 must be A the way that, say #10 and #16 insist eachother's answers.


  Posted by Eric on 2006-01-28 16:11:17
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